12-Edo Plus Blue 17-Edo Plus Yellow 5-Edo Plus Jade A-Team Abigail Absurdity Accord Acrokleismic Acyuta Aerodactyl Aerodino Agni Agora Akea Albus Alicorn Alphaquarter Amavil Amber Amberish Amicable Amigo Amity Ammonite Ampersand Ananta Anguirus Antikythera Aphrodite Aplonis Apollo Arch Archy Archytas Clan Arcturus Ares Armodue Arnold Artemis Astro Astrology Athene Atomic Aufo Augene Augment Augmented August Augustus Avalokita Avila Baba Baffin Baldur Baldy Bamity Baragon Beatles Beep Belauensis Belobog Benediction Beyla Bidia Big Brother Bikleismic Bimeantone Bipelog Birds Bischismic Bisector Bisemidim Bisesqui Bison Bisupermajor Blackbirds Blacksmith Blackwood Blair Bleu Blue Blue Plus Yellow Bluebird Bluebirds Bohpier Borneo Borwell Bosonic Bossier Bp Diatonic Brahmagupta Breed Bridgetown Bug Bunya Buzzard Calliope Canopus Cantrip Casablanca Cassandra Cata Cataclysmic Catafourth Cataharry Catakleismic Catalan Cataleptic Catalytic Catbird Catcall Catler Cavalier Ceratitid Cerberus Chagall Charisma Chartreuse Chromat Clio Clyde Coblack Coditone Coendou Coleto Comic Commatic Compton Comptone Cotritone Countdown Counteracro Countercata Counterhanson Countermeantone Counterschismic Crepuscular Cuboctahedra Cynder Cypress Dakota Darjeeling Deca Decal Decibel Decimal Decimated Decoid Deecee Deep Blue And Large Reddish Deep Blue Plus Yellow Deep Reddish Deep Reddish And Large Yellow Deep Reddish Minus White Deep Yellow And Large Triple Blue Deflated Degrees Delorean Demeter Demolished Deutone Diana Diaschismic Dichosis Dichotic Dicot Diesic Diminished Ditonic Divination Dodifo Domain Dominant Dominatrix Domineering Dominion Donar Doublethink Doublewide Draco Duodecim Dwynwen Echidna Echidnic Edson Egads Ekadash Emerald Emeraldish-Green Emeraldish-Green Minus White Emka Emkay Enipucrop Enjera Enlil Enneadecal Ennealim Ennealiminal Ennealimmal Ennealimmic Ennealimnic Enneaportent Erato Eris Eros Escapade Escaped Essence Eugene Euterpe Fantastic Fasum Father Fermionic Ferrier Fervor Festival Fibo Fifive Fifives Fifthplus Flat Flattone Fleetwood Fluorine Foreboding Fortune Freivald Freya Frigg Gallium Gamel Gamelan Gamera Gammic Ganesha Garibaldi Gariberttet Gidorah Gizzard Glacial Glamour Godzilla Gorgik Gorgo Gracecordial Grackle Gravid Gravity Greeley Green And Jadish-Bluish Green And Large Triple Blue Deep Yellow Green Deep Red And Reddish-Red Greenland Greenwood Grendel Gross Grosstone Guanyin Guanyintet Guiron Gwazy Hades Hagrid Hamity Hanson Hanuman Harry Haumea Hecate Hedgehog Heimdall Heinz Helenus Helmholtz Hemiamity Hemiaug Hemidim Hemienneadecal Hemiennealimmal Hemif Hemifamity Hemififths Hemigamera Hemigari Hemikleismic Hemimaquila Hemimeantone Hemimiracle Hemimist Hemipaj Hemischis Hemisecordite Hemisensi Hemiseven Hemiskidoo Hemitert Hemithir Hemithirds Hemiwar Hemiwur Hemiwürschmidt Hendec Hendecatonic Hestia Hewuermity Hexe History Hitchcock Hocus Homalic Horcrux Hornbostel Horoscope Hours Huntington Hystrix Icosidillic Immunity Impunity Inanna Indium Indra Inflated Infraorwell Injera Injerous Interpental Intuition Ishtar Isis Jade Jadish-Bluish Minus Clear Jamesbond Jerome Joan Jofur Jove Jovial Jovis Jubilee Jupiter Kangaroo Karadeniz Kastro Keemun Keen Kema Ketchup Kiribati Kleiboh Kleischismic Krypton Kryptonite Kumbaya Kumhar Kumonga Kwai Kwazy Laconic Lafa Lafayette Lagaca Lahoh Laka Landscape Large Deep Green 2Nd Large Quadruple Jade Large Reddish Large Triple Blue Deep Yellow Large Triple Blue Deep Yellow Minus White Large Triple Red Plus Yellow Large White Plus Blue Large Yellow And Deep Blue Laz Leantone Leapday Leapfrog Leapweek Lemba Leonhard Liese Liesel Lisa Lizard Loki Lovecraft Luna Lupercalia Mabila Machine Madagascar Magic Magicaltet Magician Magus Maja Majvam Malcolm Mandos Maneh Manna Manwe Maqamic Maquila Marrakesh Marvel Marvelcat Marvell Marveltri Marveltwintri Marvo Marvolo Mavila Maviloid Meanenneadecal Meanertone Meanplop Meanpop Meantone Meantone Plus Blue Meantone Plus Emerald Meantone Plus Jade Mercury Meridetone Merman Metakleismic Migration Minerva Minortone Minos Mintone Miracle Miraculous Mirage Mirkat Mirkwai Mirwomo Misneb Misty Mite Mitonic Mockingbird Modus Mohaha Mohajira Mohamaq Mohoho Momentous Monkey Monocerus Monzismic Morfil Mosura Mother Mothra Mothwelltri Mowgli Muggles Murakuc Mutt Myna Myno Mystery Namaka Nautilus Necromancy Negra Negri Negric Negril Negroni Neominor Neptune Nessafof Nestoria Neusec Newspeak Newt Nickel Nightingale Niner Novemkleismic Nusecond Ochre Ochre Amber Green Minus Clear Ochre-Jade Ochre-Jade And Small Triple Emerald Octacot Octagari Octant Octarod Octoid Octokaidecal Octopod Octopus Octowerck Odin Ogene Omicronbeta Ominous Oodako Oolong Opossum Oquatonic Oracle Oregon Orga Orgone Orson Orwell Orwellian Osiris Oxpecker Oxygen Pajara Pajaric Pajaro Pajarous Paradigmic Parahemfi Parahemif Parahemwuer Parakleismic Parapyth Parkleismic Passion Pater Pele Pelogic Penta Pental Pentoid Pepperoni Peregrine Petrtri Phicordial Photia Pirate Plutino Pluto Pnict Pocus Pogo Polypyth Ponens Pontiac Porcupine Porcupinefish Porkpie Porky Porkypine Portending Portent Portentous Potassium Prajapati Prodigal Prodigious Prodigy Progress Progression Ptolemy Pycnic Qak Qeema Qilin Qintosec Quadraennealimmal Quadritikleismic Quadruple Red Quadruple Red Plus Yellow Quanharuk Quanic Quartemka Quarto Quartonic Quartz Quasiorwell Quasisuper Quasisupra Quasitemp Quasithird Quato Quatracot Quincy Quindecic Quinmite Quint Radon Ragismic Raider Red Green And Small Deep Green Red Plus Yellow Restles Revelation Rhinoceros Ringo Ripple Rodan Roman Roulette Rym Salsa Sanjaab Satin Schism Score Secant Secund Secundly Selenium Semafour Semaja Semaphore Semiaug Semidim Semidimfourth Semidimi Semiennealimmal Semigamera Semihemi Semihemififths Semihemisecordite Semihemiwürschmidt Semimiracle Semiparakleismic Semisept Semishly Semisupermajor Semivalentine Sengagen Senior Seniority Sensa Sensamagic Sensawer Sensei Sensi Sensis Sensor Sensus Sentinel Sentry Sephiroth Septidiasemi Septimal Septimin Septiquarter Septisuperfourth Septisuperquad Sesesix Sesquart Sesquiquartififths Sevond Sextile Sextilififths Sfourth Sharp Sharptone Shibboleth Shibi Shoe Shrusus Shrutar Sidi Siegfried Silver Sirius Sixix Skadi Skateboard Skidoo Skwares Slender Slendi Slendric Slithy Slurpee Small Deep Green And Deep Blue Small Deep Green And Deep Bluish Blue Small Deep Green And Large Triple Blue Small Emerald Small Jade Small Jade And Small Emerald Small Triple Amber Small Triple Emerald Small White Plus Blue Smate Snape Sodium Sonic Soothsaying Sorcery Spartan Spectacle Spell Sqrtphi Squares Squarschmidt Srutal Srutar Sruti Stacks Starling Starlingtet Stearnscape Stones Stützel Subfourth Submajor Subneutral Subpental Subsemifourth Suhajira Sulis Superkleismic Supermagic Supermajor Supernatural Superpelog Superpyth Supers Supersharp Supra Supraphon Suprapyth Swetneus Sycamore Symbolic Taylor Telepathy Term Ternary Terrain Tertia Tertiaseptal Tertiosec Tetracot Thor Thrasher Thrush Thuja Thunor Tinia Tobago Tokko Tolerant Toliman Tremka Tricot Tridec Triforce Triglav Trimot Trimyna Trinealimmal Triple Bluish Triple Green Minus White Plus Blue Triple Green Plus Blue Triple Green Plus Emerald Triple Green Plus Jade Triple Jade Triple Red Deep Green Triple Red Deep Green Unison Triple Yellow And Green Deep Red Triple Yellow And Large Triple Blue Tripod Trisedodge Trismegistus Tritikleismic Triton Tritoni Tritonic Tritriple Triwell Tsaharuk Tutone Twentcufo Twothirdtonic Tyr Ulmo Uncle Undecental Undevigintone Undim Unicorn Unidec Unthirds Untriton Urchin Valentine Valentino Van Gogh Varan Varda Varuna Vavoom Veery Vega Vibhu Vicentino Vigin Vigintiduo Vili Vines Vish Vishnean Vishnu Voltage Vulcan Vulture Waage Walid Whirrschmidt Whitewood Whoops Whoosh Widefourth Wilsec Winston Witchcraft Wizard Wizz Wollemia Worschmidt Worseschmidt Würschmidt Yajna Yarman Yellow Zarvo Zeus Zisa

12-Edo Plus Blue (36 & 12)

Equal Temperament Mappings
237
[<3657101]
<121934]>
 
Reduced Mapping
237
[<121934]
<00-1]>
 
TE Generator Tunings (cents)
<100.0514, 32.9215]
 
TE Step Tunings (cents)
<32.92151, 1.28688]
 
TE Tuning Map (cents)
<1200.617, 1900.976, 3368.826]
 
TE Mistunings (cents)
<0.617, -0.979, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.013977
Adjusted Error 1.414402 cents
TE Error 0.503820 cents/octave

17-Edo Plus Yellow (34 & 17c)

Equal Temperament Mappings
235
[<345479]
<172740]>
 
Reduced Mapping
235
[<172739]
<001]>
 
TE Generator Tunings (cents)
<70.5154, 36.2148]
 
TE Step Tunings (cents)
<34.30055, 1.91426]
 
TE Tuning Map (cents)
<1198.761, 1903.915, 2786.314]
 
TE Mistunings (cents)
<-1.239, 1.960, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.454954
Adjusted Error 2.346419 cents
TE Error 1.010548 cents/octave

5-Edo Plus Jade (5 & 10)

Equal Temperament Mappings
2311
[<5817]
<101635]>
 
Reduced Mapping
2311
[<5817]
<001]>
 
TE Generator Tunings (cents)
<238.8615, 90.6718]
 
TE Step Tunings (cents)
<57.51795, 90.67180]
 
TE Tuning Map (cents)
<1194.308, 1910.892, 4151.318]
 
TE Mistunings (cents)
<-5.692, 8.937, 0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.684572
Adjusted Error 16.003200 cents
TE Error 4.625962 cents/octave

A-Team (13 & 18)

Contorted Semaphore? (order 3)
 
Equal Temperament Mappings
259
[<133041]
<184257]>
 
Reduced Mapping
259
[<102]
<063]>
 
TE Generator Tunings (cents)
<1201.3969, 464.6994]
 
TE Step Tunings (cents)
<45.18863, 34.10804]
 
TE Tuning Map (cents)
<1201.397, 2788.196, 3796.892]
 
TE Mistunings (cents)
<1.397, 1.883, -7.018]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.066203
Adjusted Error 5.015523 cents
TE Error 1.582221 cents/octave

A-Team (13 & 18)

Equal Temperament Mappings
25913
[<13304148]
<18425767]>
 
Reduced Mapping
25913
[<1021]
<0637]>
 
TE Generator Tunings (cents)
<1201.1721, 464.0907]
 
TE Step Tunings (cents)
<54.57147, 27.31906]
 
TE Tuning Map (cents)
<1201.172, 2784.544, 3794.616, 4449.807]
 
TE Mistunings (cents)
<1.172, -1.769, -9.294, 9.280]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.973927
Adjusted Error 7.592324 cents
TE Error 2.051736 cents/octave

A-Team (13 & 18)

Equal Temperament Mappings
2591321
[<1330414857]
<1842576779]>
 
Reduced Mapping
2591321
[<10214]
<06371]>
 
TE Generator Tunings (cents)
<1201.3598, 464.0779]
 
TE Step Tunings (cents)
<56.11570, 26.21421]
 
TE Tuning Map (cents)
<1201.360, 2784.468, 3794.953, 4449.905, 5269.517]
 
TE Mistunings (cents)
<1.360, -1.846, -8.957, 9.378, -1.264]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 0.980643
Adjusted Error 8.091787 cents
TE Error 1.842259 cents/octave

Abigail (270 & 494)

Equal Temperament Mappings
2357
[<270428627758]
<49478311471387]>
 
Reduced Mapping
2357
[<2713-1]
<0-11-2419]>
 
TE Generator Tunings (cents)
<599.9699, 208.8882]
 
TE Step Tunings (cents)
<2.03678, 1.31581]
 
TE Tuning Map (cents)
<1199.940, 1902.020, 2786.293, 3368.905]
 
TE Mistunings (cents)
<-0.060, 0.065, -0.021, 0.079]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.161291
Adjusted Error 0.110163 cents
TE Error 0.039241 cents/octave

Abigail (270 & 494)

Equal Temperament Mappings
235711
[<270428627758934]
<494783114713871709]>
 
Reduced Mapping
235711
[<2713-11]
<0-11-241917]>
 
TE Generator Tunings (cents)
<599.9782, 208.8930]
 
TE Step Tunings (cents)
<1.54595, 1.58411]
 
TE Tuning Map (cents)
<1199.956, 1902.024, 2786.284, 3368.990, 4151.160]
 
TE Mistunings (cents)
<-0.044, 0.069, -0.030, 0.164, -0.158]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.227676
Adjusted Error 0.150376 cents
TE Error 0.043468 cents/octave

Abigail (270 & 494)

Equal Temperament Mappings
23571113
[<270428627758934999]
<4947831147138717091828]>
 
Reduced Mapping
23571113
[<2713-11-2]
<0-11-24191727]>
 
TE Generator Tunings (cents)
<599.9863, 208.8984]
 
TE Step Tunings (cents)
<0.91917, 1.92672]
 
TE Tuning Map (cents)
<1199.973, 1902.022, 2786.260, 3369.083, 4151.259, 4440.284]
 
TE Mistunings (cents)
<-0.027, 0.067, -0.053, 0.257, -0.059, -0.244]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.607001
Adjusted Error 0.191537 cents
TE Error 0.051761 cents/octave

Absurdity (7 & 84)

Equal Temperament Mappings
235
[<71116]
<84133195]>
 
Reduced Mapping
235
[<71116]
<013]>
 
TE Generator Tunings (cents)
<171.4825, 14.4773]
 
TE Step Tunings (cents)
<-2.24461, 14.47726]
 
TE Tuning Map (cents)
<1200.377, 1900.784, 2787.151]
 
TE Mistunings (cents)
<0.377, -1.171, 0.837]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.691457
Adjusted Error 1.212398 cents
TE Error 0.522151 cents/octave

Accord (46 & 7d)

Equal Temperament Mappings
235711
[<4673107129159]
<711161924]>
 
Reduced Mapping
235711
[<136116]
<0-5-13-29-9]>
 
TE Generator Tunings (cents)
<1199.3649, 338.8677]
 
TE Step Tunings (cents)
<26.65568, -3.82803]
 
TE Tuning Map (cents)
<1199.365, 1903.756, 2790.909, 3365.850, 4146.380]
 
TE Mistunings (cents)
<-0.635, 1.801, 4.595, -2.976, -4.938]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.486879
Adjusted Error 4.582325 cents
TE Error 1.324589 cents/octave

Acrokleismic (270 & 289)

Equal Temperament Mappings
235711
[<270428627758934]
<2894586718111000]>
 
Reduced Mapping
235711
[<1101127-16]
<0-32-33-9274]>
 
TE Generator Tunings (cents)
<1199.9699, 315.5505]
 
TE Step Tunings (cents)
<3.60775, 0.78158]
 
TE Tuning Map (cents)
<1199.970, 1902.082, 2786.501, 3368.538, 4151.221]
 
TE Mistunings (cents)
<-0.030, 0.127, 0.187, -0.288, -0.097]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 18.558054
Adjusted Error 0.245259 cents
TE Error 0.070896 cents/octave

Acrokleismic (270 & 19p)

Equal Temperament Mappings
23571113
[<270428627758934999]
<193044536670]>
 
Reduced Mapping
23571113
[<1101127-1625]
<0-32-33-9274-81]>
 
TE Generator Tunings (cents)
<1199.9940, 315.5555]
 
TE Step Tunings (cents)
<4.41506, 0.41729]
 
TE Tuning Map (cents)
<1199.994, 1902.163, 2786.602, 3368.730, 4151.205, 4439.853]
 
TE Mistunings (cents)
<-0.006, 0.208, 0.288, -0.096, -0.113, -0.675]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 17.592816
Adjusted Error 0.394541 cents
TE Error 0.106620 cents/octave

Acyuta (270 & 152f)

Equal Temperament Mappings
23571113
[<270428627758934999]
<152241353427526563]>
 
Reduced Mapping
23571113
[<245101017]
<0-7-3-37-26-81]>
 
TE Generator Tunings (cents)
<599.9475, 71.0947]
 
TE Step Tunings (cents)
<3.67337, 1.36897]
 
TE Tuning Map (cents)
<1199.895, 1902.127, 2786.453, 3368.969, 4151.011, 4440.433]
 
TE Mistunings (cents)
<-0.105, 0.172, 0.139, 0.143, -0.307, -0.095]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 15.096571
Adjusted Error 0.292508 cents
TE Error 0.079047 cents/octave

Aerodactyl (46 & 5p)

Equal Temperament Mappings
23571113
[<4673107129159170]
<5812141719]>
 
Reduced Mapping
23571113
[<11-136-1]
<0317-1-1324]>
 
TE Generator Tunings (cents)
<1200.3081, 234.6989]
 
TE Step Tunings (cents)
<26.81387, -6.62598]
 
TE Tuning Map (cents)
<1200.308, 1904.405, 2789.572, 3366.226, 4150.764, 4432.464]
 
TE Mistunings (cents)
<0.308, 2.450, 3.259, -2.600, -0.554, -8.063]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.896163
Adjusted Error 4.797539 cents
TE Error 1.296478 cents/octave

Aerodino (46 & 5e)

Equal Temperament Mappings
235711
[<4673107129159]
<58121418]>
 
Reduced Mapping
235711
[<11-13-3]
<0317-133]>
 
TE Generator Tunings (cents)
<1199.9254, 234.7137]
 
TE Step Tunings (cents)
<26.35672, -2.49677]
 
TE Tuning Map (cents)
<1199.925, 1904.067, 2790.208, 3365.062, 4145.777]
 
TE Mistunings (cents)
<-0.075, 2.112, 3.894, -3.764, -5.541]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.015654
Adjusted Error 4.629971 cents
TE Error 1.338362 cents/octave

Aerodino (46 & 5e)

Equal Temperament Mappings
23571113
[<4673107129159170]
<5812141819]>
 
Reduced Mapping
23571113
[<11-13-3-1]
<0317-13324]>
 
TE Generator Tunings (cents)
<1200.0341, 234.7882]
 
TE Step Tunings (cents)
<26.09305, -0.04922]
 
TE Tuning Map (cents)
<1200.034, 1904.399, 2791.366, 3365.314, 4147.909, 4434.883]
 
TE Mistunings (cents)
<0.034, 2.444, 5.052, -3.512, -3.409, -5.645]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.811713
Adjusted Error 5.227737 cents
TE Error 1.412734 cents/octave

Agni (31 & 41 & 68p)

Equal Temperament Mappings
235711
[<31497287107]
<416595115142]
<68108158191235]>
 
Reduced Mapping
235711
[<11125]
<02110]
<0021-3]>
 
TE Generator Tunings (cents)
<1200.4171, 350.8364, 617.2189]
 
TE Step Tunings (cents)
<13.02055, 11.82537, 4.58735]
 
TE Tuning Map (cents)
<1200.417, 1902.090, 2785.691, 3368.889, 4150.429]
 
TE Mistunings (cents)
<0.417, 0.135, -0.623, 0.064, -0.889]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.250897
Adjusted Error 0.874688 cents
TE Error 0.252842 cents/octave

Agni (72 & 31 & 68p)

Equal Temperament Mappings
23571113
[<72114167202249266]
<31497287107115]
<68108158191235252]>
 
Reduced Mapping
23571113
[<11125-1]
<021102]
<0021-38]>
 
TE Generator Tunings (cents)
<1200.4416, 350.8093, 617.3719]
 
TE Step Tunings (cents)
<10.80453, 3.01811, 4.83756]
 
TE Tuning Map (cents)
<1200.442, 1902.060, 2785.995, 3369.064, 4150.092, 4440.152]
 
TE Mistunings (cents)
<0.442, 0.105, -0.319, 0.238, -1.226, -0.375]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.384286
Adjusted Error 0.908087 cents
TE Error 0.245400 cents/octave

Agora (31 & 14cf)

Equal Temperament Mappings
23571113
[<31497287107115]
<142232394851]>
 
Reduced Mapping
23571113
[<1386714]
<0-4-16-9-10-29]>
 
TE Generator Tunings (cents)
<1202.3364, 427.1063]
 
TE Step Tunings (cents)
<32.19396, 14.59456]
 
TE Tuning Map (cents)
<1202.336, 1898.584, 2784.991, 3370.062, 4145.292, 4446.627]
 
TE Mistunings (cents)
<2.336, -3.371, -1.323, 1.236, -6.026, 6.100]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.673362
Adjusted Error 6.090193 cents
TE Error 1.645803 cents/octave

Akea (87 & 41 & 53)

Equal Temperament Mappings
23571113
[<87138202244301322]
<416595115142152]
<5384123149183196]>
 
Reduced Mapping
23571113
[<10010-32]
<010-674]
<0011-2-2]>
 
TE Generator Tunings (cents)
<1200.0950, 1903.0331, 2785.6180]
 
TE Step Tunings (cents)
<8.45814, 2.02730, 7.19090]
 
TE Tuning Map (cents)
<1200.095, 1903.033, 2785.618, 3368.369, 4149.711, 4441.086]
 
TE Mistunings (cents)
<0.095, 1.078, -0.696, -0.457, -1.607, 0.559]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.294942
Adjusted Error 1.373466 cents
TE Error 0.371163 cents/octave

Albus (72 & 58 & 53)

Equal Temperament Mappings
235711
[<72114167202249]
<5892135163201]
<5384123149183]>
 
Reduced Mapping
235711
[<100-26]
<0209-12]
<001-13]>
 
TE Generator Tunings (cents)
<1200.0429, 950.6654, 2786.4294]
 
TE Step Tunings (cents)
<9.39934, 5.83220, 3.49099]
 
TE Tuning Map (cents)
<1200.043, 1901.331, 2786.429, 3369.474, 4151.560]
 
TE Mistunings (cents)
<0.043, -0.624, 0.116, 0.648, 0.242]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.297006
Adjusted Error 0.721598 cents
TE Error 0.208589 cents/octave

Alicorn (58 & 19p)

Equal Temperament Mappings
235711
[<5892135163201]
<1930445366]>
 
Reduced Mapping
235711
[<12343]
<0-8-13-239]>
 
TE Generator Tunings (cents)
<1198.6550, 62.0318]
 
TE Step Tunings (cents)
<20.05043, 1.88052]
 
TE Tuning Map (cents)
<1198.655, 1901.056, 2789.551, 3367.888, 4154.251]
 
TE Mistunings (cents)
<-1.345, -0.899, 3.238, -0.938, 2.934]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.953658
Adjusted Error 3.426767 cents
TE Error 0.990558 cents/octave

Alicorn (58 & 19p)

Equal Temperament Mappings
23571113
[<5892135163201215]
<193044536670]>
 
Reduced Mapping
23571113
[<123435]
<0-8-13-239-25]>
 
TE Generator Tunings (cents)
<1198.6341, 62.0482]
 
TE Step Tunings (cents)
<19.71814, 2.89377]
 
TE Tuning Map (cents)
<1198.634, 1900.882, 2789.276, 3367.428, 4154.336, 4441.965]
 
TE Mistunings (cents)
<-1.366, -1.073, 2.962, -1.398, 3.018, 1.438]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.839292
Adjusted Error 3.415294 cents
TE Error 0.922943 cents/octave

Alphaquarter (152 & 87)

Equal Temperament Mappings
235711
[<152241353427526]
<87138202244301]>
 
Reduced Mapping
235711
[<12203]
<0-976110]>
 
TE Generator Tunings (cents)
<1199.7230, 55.2303]
 
TE Step Tunings (cents)
<6.14075, 3.06125]
 
TE Tuning Map (cents)
<1199.723, 1902.374, 2786.058, 3369.046, 4151.472]
 
TE Mistunings (cents)
<-0.277, 0.419, -0.256, 0.220, 0.154]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.226141
Adjusted Error 0.631777 cents
TE Error 0.182624 cents/octave

Amavil (9 & 34d)

Equal Temperament Mappings
2357
[<9142125]
<34547996]>
 
Reduced Mapping
2357
[<1619]
<0-103-14]>
 
TE Generator Tunings (cents)
<1198.8625, 529.4769]
 
TE Step Tunings (cents)
<19.27713, 30.15789]
 
TE Tuning Map (cents)
<1198.862, 1898.406, 2787.293, 3377.086]
 
TE Mistunings (cents)
<-1.138, -3.549, 0.979, 8.260]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.217266
Adjusted Error 5.462215 cents
TE Error 1.945680 cents/octave

Amavil (9 & 34d)

Equal Temperament Mappings
235711
[<914212531]
<34547996118]>
 
Reduced Mapping
235711
[<16197]
<0-103-14-8]>
 
TE Generator Tunings (cents)
<1198.5661, 529.3408]
 
TE Step Tunings (cents)
<19.09390, 30.19768]
 
TE Tuning Map (cents)
<1198.566, 1897.989, 2786.588, 3376.324, 4155.237]
 
TE Mistunings (cents)
<-1.434, -3.966, 0.275, 7.499, 3.919]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.879312
Adjusted Error 6.331535 cents
TE Error 1.830224 cents/octave

Amavil (9 & 34d)

Equal Temperament Mappings
23571113
[<91421253133]
<34547996118126]>
 
Reduced Mapping
23571113
[<161979]
<0-103-14-8-12]>
 
TE Generator Tunings (cents)
<1198.7541, 529.4005]
 
TE Step Tunings (cents)
<18.30624, 30.41170]
 
TE Tuning Map (cents)
<1198.754, 1898.519, 2786.956, 3377.179, 4156.074, 4435.980]
 
TE Mistunings (cents)
<-1.246, -3.436, 0.642, 8.354, 4.756, -4.547]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.644069
Adjusted Error 6.512181 cents
TE Error 1.759840 cents/octave

Amber (2 & 3e)

Equal Temperament Mappings
2311
[<237]
<3511]>
 
Reduced Mapping
2311
[<113]
<011]>
 
TE Generator Tunings (cents)
<1183.6971, 697.7806]
 
TE Step Tunings (cents)
<274.05241, 211.86409]
 
TE Tuning Map (cents)
<1183.697, 1881.478, 4248.872]
 
TE Mistunings (cents)
<-16.303, -20.477, 97.554]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.261338
Adjusted Error 69.988652 cents
TE Error 20.231258 cents/octave

Amberish (7 & 3e & 5e)

Equal Temperament Mappings
23511
[<7111624]
<35711]
<581218]>
 
Reduced Mapping
23511
[<100-2]
<0102]
<0011]>
 
TE Generator Tunings (cents)
<1202.4775, 1895.7313, 2779.6352]
 
TE Step Tunings (cents)
<134.54345, -6.62001, 56.10667]
 
TE Tuning Map (cents)
<1202.477, 1895.731, 2779.635, 4166.143]
 
TE Mistunings (cents)
<2.477, -6.224, -6.679, 14.825]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.055024
Adjusted Error 12.008051 cents
TE Error 3.471105 cents/octave

Amicable (99 & 212)

Equal Temperament Mappings
2357
[<99157230278]
<212336492595]>
 
Reduced Mapping
2357
[<1365]
<0-20-52-31]>
 
TE Generator Tunings (cents)
<1199.9463, 84.8761]
 
TE Step Tunings (cents)
<5.45505, 3.11272]
 
TE Tuning Map (cents)
<1199.946, 1902.316, 2786.119, 3368.572]
 
TE Mistunings (cents)
<-0.054, 0.361, -0.195, -0.254]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.944139
Adjusted Error 0.371618 cents
TE Error 0.132373 cents/octave

Amigo (46 & 43)

Equal Temperament Mappings
235711
[<4673107129159]
<4368100121149]>
 
Reduced Mapping
235711
[<1-2299]
<0111-19-17]>
 
TE Generator Tunings (cents)
<1199.5293, 390.9220]
 
TE Step Tunings (cents)
<16.23330, 10.53018]
 
TE Tuning Map (cents)
<1199.529, 1901.083, 2789.981, 3368.247, 4150.091]
 
TE Mistunings (cents)
<-0.471, -0.872, 3.667, -0.579, -1.227]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.789119
Adjusted Error 2.761806 cents
TE Error 0.798341 cents/octave

Amigo (46 & 43)

Equal Temperament Mappings
23571113
[<4673107129159170]
<4368100121149159]>
 
Reduced Mapping
23571113
[<1-22995]
<0111-19-17-4]>
 
TE Generator Tunings (cents)
<1199.8222, 391.0146]
 
TE Step Tunings (cents)
<16.11512, 10.66341]
 
TE Tuning Map (cents)
<1199.822, 1901.516, 2790.659, 3369.123, 4151.152, 4435.053]
 
TE Mistunings (cents)
<-0.178, -0.439, 4.345, 0.297, -0.165, -5.475]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.371540
Adjusted Error 3.642331 cents
TE Error 0.984297 cents/octave

Amity (53 & 99)

Equal Temperament Mappings
235
[<5384123]
<99157230]>
 
Reduced Mapping
235
[<136]
<0-5-13]>
 
TE Generator Tunings (cents)
<1199.9135, 339.4943]
 
TE Step Tunings (cents)
<12.36123, 5.50271]
 
TE Tuning Map (cents)
<1199.914, 1902.269, 2786.055]
 
TE Mistunings (cents)
<-0.086, 0.314, -0.259]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.291990
Adjusted Error 0.325996 cents
TE Error 0.140399 cents/octave

Amity (99 & 53)

Equal Temperament Mappings
2357
[<99157230278]
<5384123149]>
 
Reduced Mapping
2357
[<136-2]
<0-5-1317]>
 
TE Generator Tunings (cents)
<1199.6102, 339.3219]
 
TE Step Tunings (cents)
<10.09007, 3.78666]
 
TE Tuning Map (cents)
<1199.610, 1902.221, 2786.476, 3369.253]
 
TE Mistunings (cents)
<-0.390, 0.266, 0.162, 0.427]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.364558
Adjusted Error 0.640286 cents
TE Error 0.228074 cents/octave

Amity (152 & 99e)

Equal Temperament Mappings
235711
[<152241353427526]
<99157230278343]>
 
Reduced Mapping
235711
[<136-221]
<0-5-1317-62]>
 
TE Generator Tunings (cents)
<1199.5964, 339.3502]
 
TE Step Tunings (cents)
<6.97405, 1.40950]
 
TE Tuning Map (cents)
<1199.596, 1902.038, 2786.025, 3369.761, 4151.810]
 
TE Mistunings (cents)
<-0.404, 0.083, -0.288, 0.935, 0.492]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.928953
Adjusted Error 0.864542 cents
TE Error 0.249909 cents/octave

Amity (53 & 152f)

Equal Temperament Mappings
23571113
[<5384123149183196]
<152241353427526563]>
 
Reduced Mapping
23571113
[<136-22117]
<0-5-1317-62-47]>
 
TE Generator Tunings (cents)
<1199.5444, 339.3517]
 
TE Step Tunings (cents)
<1.05284, 7.52463]
 
TE Tuning Map (cents)
<1199.544, 1901.875, 2785.694, 3369.891, 4150.626, 4442.724]
 
TE Mistunings (cents)
<-0.456, -0.080, -0.620, 1.065, -0.692, 2.196]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.913304
Adjusted Error 1.365877 cents
TE Error 0.369112 cents/octave

Ammonite (8d & 29)

Equal Temperament Mappings
2357
[<8131923]
<29466781]>
 
Reduced Mapping
2357
[<15810]
<0-9-15-19]>
 
TE Generator Tunings (cents)
<1199.3567, 454.2048]
 
TE Step Tunings (cents)
<20.98414, 35.56840]
 
TE Tuning Map (cents)
<1199.357, 1908.940, 2781.782, 3363.676]
 
TE Mistunings (cents)
<-0.643, 6.985, -4.532, -5.150]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.759118
Adjusted Error 7.295446 cents
TE Error 2.598690 cents/octave

Ammonite (8d & 29)

Equal Temperament Mappings
235711
[<813192328]
<29466781100]>
 
Reduced Mapping
235711
[<158108]
<0-9-15-19-12]>
 
TE Generator Tunings (cents)
<1200.0392, 454.5265]
 
TE Step Tunings (cents)
<19.16265, 36.09441]
 
TE Tuning Map (cents)
<1200.039, 1909.457, 2782.416, 3364.388, 4145.996]
 
TE Mistunings (cents)
<0.039, 7.502, -3.898, -4.437, -5.322]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.517219
Adjusted Error 8.486708 cents
TE Error 2.453209 cents/octave

Ammonite (8d & 29)

Equal Temperament Mappings
23571113
[<81319232830]
<29466781100107]>
 
Reduced Mapping
23571113
[<1581089]
<0-9-15-19-12-14]>
 
TE Generator Tunings (cents)
<1200.2735, 454.6324]
 
TE Step Tunings (cents)
<18.66949, 36.23854]
 
TE Tuning Map (cents)
<1200.274, 1909.676, 2782.702, 3364.720, 4146.600, 4437.608]
 
TE Mistunings (cents)
<0.274, 7.721, -3.611, -4.106, -4.718, -2.919]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.311859
Adjusted Error 8.390448 cents
TE Error 2.267419 cents/octave

Ampersand (31 & 41)

Equal Temperament Mappings
235
[<314972]
<416595]>
 
Reduced Mapping
235
[<113]
<06-7]>
 
TE Generator Tunings (cents)
<1200.8376, 116.7547]
 
TE Step Tunings (cents)
<16.40759, 16.88298]
 
TE Tuning Map (cents)
<1200.838, 1901.366, 2785.230]
 
TE Mistunings (cents)
<0.838, -0.589, -1.084]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.780215
Adjusted Error 1.378663 cents
TE Error 0.593758 cents/octave

Ananta (270 & 118p)

Equal Temperament Mappings
23571113
[<270428627758934999]
<118187274331408437]>
 
Reduced Mapping
23571113
[<24510101]
<0-7-3-37-2654]>
 
TE Generator Tunings (cents)
<599.9941, 71.1163]
 
TE Step Tunings (cents)
<4.09778, 0.79311]
 
TE Tuning Map (cents)
<1199.988, 1902.162, 2786.621, 3368.638, 4150.917, 4440.273]
 
TE Mistunings (cents)
<-0.012, 0.207, 0.308, -0.188, -0.401, -0.254]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 17.147872
Adjusted Error 0.362000 cents
TE Error 0.097826 cents/octave

Anguirus (10p & 24p)

Equal Temperament Mappings
235711
[<1016232835]
<2438566783]>
 
Reduced Mapping
235711
[<24369]
<0-24-1-5]>
 
TE Generator Tunings (cents)
<599.9457, 247.7940]
 
TE Step Tunings (cents)
<26.20058, 39.07857]
 
TE Tuning Map (cents)
<1199.891, 1904.195, 2791.013, 3351.880, 4160.541]
 
TE Mistunings (cents)
<-0.109, 2.240, 4.699, -16.946, 9.224]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.265829
Adjusted Error 10.901204 cents
TE Error 3.151155 cents/octave

Anguirus (10p & 24p)

Equal Temperament Mappings
23571113
[<101623283537]
<243856678389]>
 
Reduced Mapping
23571113
[<243697]
<0-24-1-51]>
 
TE Generator Tunings (cents)
<599.7793, 247.5998]
 
TE Step Tunings (cents)
<27.69846, 38.44059]
 
TE Tuning Map (cents)
<1199.559, 1903.918, 2789.737, 3351.076, 4160.015, 4446.055]
 
TE Mistunings (cents)
<-0.441, 1.963, 3.424, -17.750, 8.697, 5.527]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.107568
Adjusted Error 10.938604 cents
TE Error 2.956028 cents/octave

Antikythera (6 & 10)

Equal Temperament Mappings
2957
[<6191417]
<10322328]>
 
Reduced Mapping
2957
[<2656]
<01-1-1]>
 
TE Generator Tunings (cents)
<598.8593, 213.6884]
 
TE Step Tunings (cents)
<129.27686, 42.20575]
 
TE Tuning Map (cents)
<1197.719, 3806.844, 2780.608, 3379.468]
 
TE Mistunings (cents)
<-2.281, 2.934, -5.705, 10.642]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.598065
Adjusted Error 8.154205 cents
TE Error 2.572365 cents/octave

Aphrodite (31 & 15 & 14c)

Equal Temperament Mappings
235711
[<31497287107]
<1524354252]
<1422323948]>
 
Reduced Mapping
235711
[<10132]
<01101]
<00432]>
 
TE Generator Tunings (cents)
<1201.0724, 1902.0183, -78.7124]
 
TE Step Tunings (cents)
<27.85201, 15.54239, 7.46601]
 
TE Tuning Map (cents)
<1201.072, 1902.018, 2788.241, 3367.080, 4146.738]
 
TE Mistunings (cents)
<1.072, 0.063, 1.927, -1.746, -4.580]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.161950
Adjusted Error 3.086432 cents
TE Error 0.892179 cents/octave

Aphrodite (31 & 46 & 14cf)

Equal Temperament Mappings
23571113
[<31497287107115]
<4673107129159170]
<142232394851]>
 
Reduced Mapping
23571113
[<101326]
<01101-1]
<0043211]>
 
TE Generator Tunings (cents)
<1201.0689, 1901.8083, -78.5911]
 
TE Step Tunings (cents)
<14.33855, 14.44460, 6.58015]
 
TE Tuning Map (cents)
<1201.069, 1901.808, 2788.513, 3367.434, 4146.764, 4440.104]
 
TE Mistunings (cents)
<1.069, -0.147, 2.199, -1.392, -4.554, -0.424]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.264037
Adjusted Error 3.036561 cents
TE Error 0.820595 cents/octave

Aplonis (31 & 27e & 19p)

Equal Temperament Mappings
235711
[<31497287107]
<2743637694]
<1930445366]>
 
Reduced Mapping
235711
[<100-14]
<010-27]
<0013-5]>
 
TE Generator Tunings (cents)
<1199.6034, 1900.1796, 2789.4634]
 
TE Step Tunings (cents)
<25.42091, 12.84147, 3.41240]
 
TE Tuning Map (cents)
<1199.603, 1900.180, 2789.463, 3368.428, 4152.353]
 
TE Mistunings (cents)
<-0.397, -1.775, 3.150, -0.398, 1.036]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.174660
Adjusted Error 2.836694 cents
TE Error 0.819988 cents/octave

Aplonis (31 & 19p & 8d)

Equal Temperament Mappings
23571113
[<31497287107115]
<193044536670]
<81319232830]>
 
Reduced Mapping
23571113
[<100-140]
<010-27-5]
<0013-55]>
 
TE Generator Tunings (cents)
<1199.0647, 1900.3002, 2788.9690]
 
TE Step Tunings (cents)
<21.95183, 20.56695, 15.97324]
 
TE Tuning Map (cents)
<1199.065, 1900.300, 2788.969, 3367.242, 4153.515, 4443.344]
 
TE Mistunings (cents)
<-0.935, -1.655, 2.655, -1.584, 2.197, 2.816]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.192172
Adjusted Error 3.230785 cents
TE Error 0.873081 cents/octave

Apollo (22 & 41 & 12)

Equal Temperament Mappings
235711
[<2235516276]
<416595115142]
<1219283442]>
 
Reduced Mapping
235711
[<100-52]
<0102-2]
<00122]>
 
TE Generator Tunings (cents)
<1199.8310, 1903.2165, 2781.2115]
 
TE Step Tunings (cents)
<9.47898, 22.85170, 4.53113]
 
TE Tuning Map (cents)
<1199.831, 1903.217, 2781.211, 3369.701, 4155.652]
 
TE Mistunings (cents)
<-0.169, 1.262, -5.102, 0.875, 4.334]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.138578
Adjusted Error 4.139008 cents
TE Error 1.196442 cents/octave

Apollo (12f & 22p & 7d)

Equal Temperament Mappings
23571113
[<121928344245]
<223551627681]
<71116192426]>
 
Reduced Mapping
23571113
[<100-527]
<0102-2-5]
<001222]>
 
TE Generator Tunings (cents)
<1199.6983, 1903.5196, 2780.8358]
 
TE Step Tunings (cents)
<24.60744, 34.44970, 20.93079]
 
TE Tuning Map (cents)
<1199.698, 1903.520, 2780.836, 3370.220, 4154.029, 4441.961]
 
TE Mistunings (cents)
<-0.302, 1.565, -5.478, 1.394, 2.711, 1.434]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.189446
Adjusted Error 4.176208 cents
TE Error 1.128571 cents/octave

Arch (130 & 87)

Equal Temperament Mappings
235711
[<130206302365450]
<87138202244301]>
 
Reduced Mapping
235711
[<12223]
<0-18143520]>
 
TE Generator Tunings (cents)
<1199.8351, 27.6590]
 
TE Step Tunings (cents)
<6.66152, 3.83721]
 
TE Tuning Map (cents)
<1199.835, 1901.808, 2786.896, 3367.735, 4152.685]
 
TE Mistunings (cents)
<-0.165, -0.147, 0.582, -1.091, 1.367]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.011017
Adjusted Error 0.985635 cents
TE Error 0.284912 cents/octave

Arch (130 & 87)

Equal Temperament Mappings
23571113
[<130206302365450481]
<87138202244301322]>
 
Reduced Mapping
23571113
[<122234]
<0-18143520-13]>
 
TE Generator Tunings (cents)
<1199.8736, 27.6569]
 
TE Step Tunings (cents)
<6.40560, 4.22006]
 
TE Tuning Map (cents)
<1199.874, 1901.923, 2786.944, 3367.740, 4152.759, 4439.954]
 
TE Mistunings (cents)
<-0.126, -0.032, 0.631, -1.086, 1.442, -0.573]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.657777
Adjusted Error 0.999174 cents
TE Error 0.270015 cents/octave

Archy (5 & 17)

Equal Temperament Mappings
237
[<5814]
<172748]>
 
Reduced Mapping
237
[<122]
<0-12]>
 
TE Generator Tunings (cents)
<1196.9667, 489.4384]
 
TE Step Tunings (cents)
<58.31372, 53.25871]
 
TE Tuning Map (cents)
<1196.967, 1904.495, 3372.810]
 
TE Mistunings (cents)
<-3.033, 2.540, 3.984]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.550144
Adjusted Error 6.017469 cents
TE Error 2.143466 cents/octave

Archytas Clan (5e & 15)

Equal Temperament Mappings
23571113
[<5812141819]
<152435425256]>
 
Reduced Mapping
23571113
[<5812141819]
<00-10-2-1]>
 
TE Generator Tunings (cents)
<239.2234, 82.9185]
 
TE Step Tunings (cents)
<-9.53216, 82.91852]
 
TE Tuning Map (cents)
<1196.117, 1913.787, 2787.762, 3349.128, 4140.184, 4462.326]
 
TE Mistunings (cents)
<-3.883, 11.832, 1.449, -19.698, -11.134, 21.799]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.158584
Adjusted Error 19.434078 cents
TE Error 5.251829 cents/octave

Arcturus (8d & 1cdd)

Equal Temperament Mappings
357
[<131923]
<234]>
 
Reduced Mapping
357
[<11-1]
<016]>
 
TE Generator Tunings (cents)
<1903.8685, 878.9253]
 
TE Step Tunings (cents)
<146.01781, 2.81846]
 
TE Tuning Map (cents)
<1903.868, 2782.794, 3369.683]
 
TE Mistunings (cents)
<1.913, -3.520, 0.858]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.581698
Adjusted Error 3.179836 cents
TE Error 1.132681 cents/octave

Ares (22 & 12 & 15)

Equal Temperament Mappings
235711
[<2235516276]
<1219283442]
<1524354252]>
 
Reduced Mapping
235711
[<10062]
<010-2-2]
<00102]>
 
TE Generator Tunings (cents)
<1197.0402, 1904.9765, 2784.5655]
 
TE Step Tunings (cents)
<25.58454, 25.85402, 21.59547]
 
TE Tuning Map (cents)
<1197.040, 1904.977, 2784.566, 3372.288, 4153.258]
 
TE Mistunings (cents)
<-2.960, 3.022, -1.748, 3.462, 1.940]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.114130
Adjusted Error 5.951253 cents
TE Error 1.720298 cents/octave

Armodue (7p & 9)

Equal Temperament Mappings
2357
[<7111620]
<9142125]>
 
Reduced Mapping
2357
[<1215]
<0-13-5]>
 
TE Generator Tunings (cents)
<1205.1780, 528.2729]
 
TE Step Tunings (cents)
<66.25553, 82.37659]
 
TE Tuning Map (cents)
<1205.178, 1882.083, 2789.997, 3384.525]
 
TE Mistunings (cents)
<5.178, -19.872, 3.683, 15.699]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.104933
Adjusted Error 20.715412 cents
TE Error 7.378979 cents/octave

Armodue (9 & 7p)

Equal Temperament Mappings
235711
[<914212531]
<711162024]>
 
Reduced Mapping
235711
[<12153]
<0-13-51]>
 
TE Generator Tunings (cents)
<1205.6455, 528.6685]
 
TE Step Tunings (cents)
<83.74282, 64.56573]
 
TE Tuning Map (cents)
<1205.645, 1882.622, 2791.651, 3384.885, 4145.605]
 
TE Mistunings (cents)
<5.645, -19.333, 5.337, 16.059, -5.713]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.013547
Adjusted Error 23.019285 cents
TE Error 6.654066 cents/octave

Armodue (9 & 7p)

Equal Temperament Mappings
23571113
[<91421253133]
<71116202426]>
 
Reduced Mapping
23571113
[<121535]
<0-13-51-3]>
 
TE Generator Tunings (cents)
<1205.5810, 528.6846]
 
TE Step Tunings (cents)
<84.04951, 64.16221]
 
TE Tuning Map (cents)
<1205.581, 1882.477, 2791.635, 3384.482, 4145.428, 4441.851]
 
TE Mistunings (cents)
<5.581, -19.478, 5.321, 15.656, -5.890, 1.323]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.955680
Adjusted Error 22.485904 cents
TE Error 6.076549 cents/octave

Arnold (5p & 7p)

Equal Temperament Mappings
235711
[<58121417]
<711162024]>
 
Reduced Mapping
235711
[<12423]
<0-1-421]>
 
TE Generator Tunings (cents)
<1200.1599, 501.5754]
 
TE Step Tunings (cents)
<89.45178, 107.55729]
 
TE Tuning Map (cents)
<1200.160, 1898.744, 2794.338, 3403.471, 4102.055]
 
TE Mistunings (cents)
<0.160, -3.211, 8.024, 34.645, -49.263]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.847355
Adjusted Error 29.805229 cents
TE Error 8.615643 cents/octave

Arnold (7p & 5p)

Equal Temperament Mappings
23571113
[<71116202426]
<5812141719]>
 
Reduced Mapping
23571113
[<124235]
<0-1-421-3]>
 
TE Generator Tunings (cents)
<1198.2668, 502.5302]
 
TE Step Tunings (cents)
<116.11738, 77.08903]
 
TE Tuning Map (cents)
<1198.267, 1894.003, 2782.946, 3401.594, 4097.331, 4483.743]
 
TE Mistunings (cents)
<-1.733, -7.952, -3.367, 32.768, -53.987, 43.216]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.800550
Adjusted Error 35.314425 cents
TE Error 9.543305 cents/octave

Artemis (31 & 22 & 7d)

Equal Temperament Mappings
235711
[<31497287107]
<2235516276]
<711161924]>
 
Reduced Mapping
235711
[<101-32]
<01141]
<00241]>
 
TE Generator Tunings (cents)
<1201.2818, 1901.9013, -158.4923]
 
TE Step Tunings (cents)
<25.18531, 16.27947, 8.91268]
 
TE Tuning Map (cents)
<1201.282, 1901.901, 2786.198, 3369.790, 4145.973]
 
TE Mistunings (cents)
<1.282, -0.054, -0.115, 0.964, -5.345]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.161735
Adjusted Error 3.152525 cents
TE Error 0.911284 cents/octave

Artemis (31 & 9 & 29)

Equal Temperament Mappings
23571113
[<31497287107115]
<91421253133]
<29466781100107]>
 
Reduced Mapping
23571113
[<101-32-5]
<011416]
<002416]>
 
TE Generator Tunings (cents)
<1201.7981, 1901.5540, -158.9495]
 
TE Step Tunings (cents)
<21.30103, 3.89263, 17.46319]
 
TE Tuning Map (cents)
<1201.798, 1901.554, 2785.453, 3365.024, 4146.201, 4446.636]
 
TE Mistunings (cents)
<1.798, -0.401, -0.861, -3.802, -5.117, 6.109]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.183019
Adjusted Error 4.820579 cents
TE Error 1.302704 cents/octave

Artemis (31 & 22f & 29g)

Equal Temperament Mappings
2357111317
[<31497287107115127]
<22355162768290]
<29466781100107118]>
 
Reduced Mapping
2357111317
[<101-32-50]
<0114163]
<0024165]>
 
TE Generator Tunings (cents)
<1201.6677, 1901.9983, -159.6040]
 
TE Step Tunings (cents)
<22.52505, -2.04618, 18.91060]
 
TE Tuning Map (cents)
<1201.668, 1901.998, 2784.458, 3364.574, 4145.730, 4446.027, 4907.975]
 
TE Mistunings (cents)
<1.668, 0.043, -1.856, -4.252, -5.588, 5.499, 3.019]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.186127
Adjusted Error 5.142140 cents
TE Error 1.258027 cents/octave

Artemis (31 & 29g & 9p)

Equal Temperament Mappings
235711131719
[<31497287107115127132]
<29466781100107118123]
<914212531333738]>
 
Reduced Mapping
235711131719
[<101-32-50-3]
<01141635]
<00241655]>
 
TE Generator Tunings (cents)
<1201.6838, 1901.5858, -159.5447]
 
TE Step Tunings (cents)
<17.90479, 20.67071, 5.24276]
 
TE Tuning Map (cents)
<1201.684, 1901.586, 2784.180, 3363.113, 4145.409, 4443.827, 4907.034, 5105.154]
 
TE Mistunings (cents)
<1.684, -0.369, -2.134, -5.713, -5.909, 3.300, 2.078, 7.641]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.169469
Adjusted Error 5.832611 cents
TE Error 1.373049 cents/octave

Artemis (29g & 31 & 22fh)

Equal Temperament Mappings
23571113171923
[<29466781100107118123131]
<31497287107115127132140]
<2235516276829094100]>
 
Reduced Mapping
23571113171923
[<101-32-50-3-3]
<011416355]
<002416553]>
 
TE Generator Tunings (cents)
<1201.7161, 1902.0678, -159.9063]
 
TE Step Tunings (cents)
<21.01779, 21.64541, -3.58216]
 
TE Tuning Map (cents)
<1201.716, 1902.068, 2783.971, 3363.498, 4145.594, 4444.388, 4906.672, 5105.659, 5425.472]
 
TE Mistunings (cents)
<1.716, 0.113, -2.343, -5.328, -5.724, 3.861, 1.716, 8.146, -2.803]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.170328
Adjusted Error 5.962072 cents
TE Error 1.318004 cents/octave

Astro (1171 & 118)

Equal Temperament Mappings
235
[<117118562719]
<118187274]>
 
Reduced Mapping
235
[<151]
<0-3112]>
 
TE Generator Tunings (cents)
<1199.9946, 132.1941]
 
TE Step Tunings (cents)
<1.02912, -0.04331]
 
TE Tuning Map (cents)
<1199.995, 1901.957, 2786.324]
 
TE Mistunings (cents)
<-0.005, 0.002, 0.010]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.649401
Adjusted Error 0.009291 cents
TE Error 0.004001 cents/octave

Astrology (22 & 38)

Contorted Magic (order 2)
 
Equal Temperament Mappings
235
[<223551]
<386088]>
 
Reduced Mapping
235
[<255]
<0-5-1]>
 
TE Generator Tunings (cents)
<600.6240, 220.1703]
 
TE Step Tunings (cents)
<21.13255, 19.37716]
 
TE Tuning Map (cents)
<1201.248, 1902.269, 2782.950]
 
TE Mistunings (cents)
<1.248, 0.314, -3.364]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.790526
Adjusted Error 2.577115 cents
TE Error 1.109903 cents/octave

Astrology (22 & 16)

Equal Temperament Mappings
2357
[<22355162]
<16253745]>
 
Reduced Mapping
2357
[<2556]
<0-5-1-1]>
 
TE Generator Tunings (cents)
<599.7094, 219.3153]
 
TE Step Tunings (cents)
<44.60550, 13.63111]
 
TE Tuning Map (cents)
<1199.419, 1901.970, 2779.231, 3378.941]
 
TE Mistunings (cents)
<-0.581, 0.015, -7.082, 10.115]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.527133
Adjusted Error 6.676416 cents
TE Error 2.378187 cents/octave

Astrology (22 & 16)

Equal Temperament Mappings
235711
[<2235516276]
<1625374555]>
 
Reduced Mapping
235711
[<25568]
<0-5-1-1-3]>
 
TE Generator Tunings (cents)
<600.0669, 219.4946]
 
TE Step Tunings (cents)
<44.24438, 14.17234]
 
TE Tuning Map (cents)
<1200.134, 1902.862, 2780.840, 3380.907, 4142.052]
 
TE Mistunings (cents)
<0.134, 0.907, -5.474, 12.081, -9.266]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.260965
Adjusted Error 8.696329 cents
TE Error 2.513803 cents/octave

Astrology (22p & 16)

Equal Temperament Mappings
23571113
[<223551627681]
<162537455559]>
 
Reduced Mapping
23571113
[<255687]
<0-5-1-1-31]>
 
TE Generator Tunings (cents)
<600.8107, 220.5110]
 
TE Step Tunings (cents)
<38.34440, 22.37780]
 
TE Tuning Map (cents)
<1201.621, 1901.499, 2783.543, 3384.353, 4144.953, 4426.186]
 
TE Mistunings (cents)
<1.621, -0.456, -2.771, 15.528, -6.365, -14.342]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.256182
Adjusted Error 11.011956 cents
TE Error 2.975851 cents/octave

Athene (12f & 19e & 22p)

Equal Temperament Mappings
23571113
[<121928344245]
<193044536570]
<223551627681]>
 
Reduced Mapping
23571113
[<100-5-9-4]
<01022-1]
<001244]>
 
TE Generator Tunings (cents)
<1199.9181, 1901.1045, 2785.7693]
 
TE Step Tunings (cents)
<28.56082, 23.14278, 18.97616]
 
TE Tuning Map (cents)
<1199.918, 1901.105, 2785.769, 3374.157, 4146.023, 4442.300]
 
TE Mistunings (cents)
<-0.082, -0.850, -0.544, 5.331, -5.295, 1.773]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.175501
Adjusted Error 3.859754 cents
TE Error 1.043053 cents/octave

Atomic (4296 & 12276)

Equal Temperament Mappings
235
[<429668099975]
<122761945728504]>
 
Reduced Mapping
235
[<121928]
<01-7]>
 
TE Generator Tunings (cents)
<100.0000, 1.9552]
 
TE Step Tunings (cents)
<0.13080, 0.05198]
 
TE Tuning Map (cents)
<1200.000, 1901.955, 2786.314]
 
TE Mistunings (cents)
<-0.000, 0.000, 0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 19.091883
Adjusted Error 0.000098 cents
TE Error 0.000042 cents/octave

Aufo (53 & 108)

Equal Temperament Mappings
2357
[<5384123149]
<108171251303]>
 
Reduced Mapping
2357
[<16-719]
<0-919-33]>
 
TE Generator Tunings (cents)
<1199.9764, 588.7706]
 
TE Step Tunings (cents)
<11.52819, 5.45354]
 
TE Tuning Map (cents)
<1199.976, 1900.923, 2786.806, 3370.123]
 
TE Mistunings (cents)
<-0.024, -1.032, 0.492, 1.297]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.348391
Adjusted Error 1.159760 cents
TE Error 0.413115 cents/octave

Augene (12 & 27)

Equal Temperament Mappings
2357
[<12192834]
<27436376]>
 
Reduced Mapping
2357
[<3578]
<0-102]>
 
TE Generator Tunings (cents)
<398.7516, 90.4599]
 
TE Step Tunings (cents)
<16.63629, 36.91183]
 
TE Tuning Map (cents)
<1196.255, 1903.298, 2791.261, 3370.933]
 
TE Mistunings (cents)
<-3.745, 1.343, 4.948, 2.107]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.430604
Adjusted Error 6.253522 cents
TE Error 2.227549 cents/octave

Augene (12 & 15)

Equal Temperament Mappings
235711
[<1219283442]
<1524354252]>
 
Reduced Mapping
235711
[<357810]
<0-1022]>
 
TE Generator Tunings (cents)
<398.5059, 88.4916]
 
TE Step Tunings (cents)
<43.95217, 44.53945]
 
TE Tuning Map (cents)
<1195.518, 1904.038, 2789.542, 3365.031, 4162.043]
 
TE Mistunings (cents)
<-4.482, 2.083, 3.228, -3.795, 10.725]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.445911
Adjusted Error 9.177366 cents
TE Error 2.652854 cents/octave

Augene (12f & 15)

Equal Temperament Mappings
23571113
[<121928344245]
<152435425256]>
 
Reduced Mapping
23571113
[<35781011]
<0-10221]>
 
TE Generator Tunings (cents)
<398.0750, 87.5631]
 
TE Step Tunings (cents)
<39.74070, 47.82244]
 
TE Tuning Map (cents)
<1194.225, 1902.812, 2786.525, 3359.726, 4155.876, 4466.388]
 
TE Mistunings (cents)
<-5.775, 0.857, 0.211, -9.100, 4.558, 25.860]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.330459
Adjusted Error 14.703736 cents
TE Error 3.973511 cents/octave

Augment (6 & 15)

Equal Temperament Mappings
25711
[<6141721]
<15354252]>
 
Reduced Mapping
25711
[<37911]
<00-1-1]>
 
TE Generator Tunings (cents)
<398.9320, 227.6656]
 
TE Step Tunings (cents)
<58.46790, 56.39924]
 
TE Tuning Map (cents)
<1196.796, 2792.524, 3362.722, 4160.586]
 
TE Mistunings (cents)
<-3.204, 6.210, -6.104, 9.268]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.490473
Adjusted Error 9.366700 cents
TE Error 2.707583 cents/octave

Augmented (12 & 15)

Equal Temperament Mappings
235
[<121928]
<152435]>
 
Reduced Mapping
235
[<357]
<0-10]>
 
TE Generator Tunings (cents)
<399.0176, 93.1331]
 
TE Step Tunings (cents)
<66.64783, 26.48526]
 
TE Tuning Map (cents)
<1197.053, 1901.955, 2793.123]
 
TE Mistunings (cents)
<-2.947, -0.000, 6.810]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.894463
Adjusted Error 5.573697 cents
TE Error 2.400461 cents/octave

August (12 & 3d)

Equal Temperament Mappings
2357
[<12192834]
<3579]>
 
Reduced Mapping
2357
[<3579]
<0-10-2]>
 
TE Generator Tunings (cents)
<399.1285, 103.7628]
 
TE Step Tunings (cents)
<103.76281, -15.92276]
 
TE Tuning Map (cents)
<1197.385, 1891.880, 2793.899, 3384.631]
 
TE Mistunings (cents)
<-2.615, -10.075, 7.586, 15.805]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.013401
Adjusted Error 13.287812 cents
TE Error 4.733214 cents/octave

August (12 & 9)

Equal Temperament Mappings
235711
[<1219283442]
<914212531]>
 
Reduced Mapping
235711
[<357911]
<0-10-2-2]>
 
TE Generator Tunings (cents)
<398.9641, 107.2078]
 
TE Step Tunings (cents)
<77.34086, 29.86689]
 
TE Tuning Map (cents)
<1196.892, 1887.613, 2792.749, 3376.262, 4174.190]
 
TE Mistunings (cents)
<-3.108, -14.342, 6.435, 7.436, 22.872]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.952479
Adjusted Error 18.944768 cents
TE Error 5.476266 cents/octave

August (9 & 12f)

Equal Temperament Mappings
23571113
[<91421253133]
<121928344245]>
 
Reduced Mapping
23571113
[<35791112]
<0-10-2-2-3]>
 
TE Generator Tunings (cents)
<399.1455, 110.9789]
 
TE Step Tunings (cents)
<44.77020, 66.20872]
 
TE Tuning Map (cents)
<1197.436, 1884.749, 2794.018, 3370.352, 4168.643, 4456.809]
 
TE Mistunings (cents)
<-2.564, -17.206, 7.705, 1.526, 17.325, 16.281]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.991753
Adjusted Error 20.277733 cents
TE Error 5.479817 cents/octave

Augustus (9 & 3de)

Equal Temperament Mappings
23571113
[<91421253133]
<35791111]>
 
Reduced Mapping
23571113
[<35791111]
<0-10-2-20]>
 
TE Generator Tunings (cents)
<400.5016, 114.7875]
 
TE Step Tunings (cents)
<114.78751, 56.13903]
 
TE Tuning Map (cents)
<1201.505, 1887.720, 2803.511, 3374.939, 4175.942, 4405.517]
 
TE Mistunings (cents)
<1.505, -14.235, 17.197, 6.113, 24.624, -35.010]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.966613
Adjusted Error 25.400437 cents
TE Error 6.864167 cents/octave

Avalokita (9 & 31 & 27e)

Equal Temperament Mappings
23571113
[<91421253133]
<31497287107115]
<2743637694100]>
 
Reduced Mapping
23571113
[<1002-26]
<010111]
<003-15-5]>
 
TE Generator Tunings (cents)
<1198.4359, 1901.2184, 929.4864]
 
TE Step Tunings (cents)
<-4.09866, 23.67349, 18.57206]
 
TE Tuning Map (cents)
<1198.436, 1901.218, 2788.459, 3368.604, 4151.779, 4444.402]
 
TE Mistunings (cents)
<-1.564, -0.737, 2.146, -0.222, 0.461, 3.874]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.200994
Adjusted Error 3.252833 cents
TE Error 0.879040 cents/octave

Avila (2c & 9)

Equal Temperament Mappings
235
[<234]
<91421]>
 
Reduced Mapping
235
[<11-1]
<016]>
 
TE Generator Tunings (cents)
<1210.8952, 667.6000]
 
TE Step Tunings (cents)
<46.07541, 124.30493]
 
TE Tuning Map (cents)
<1210.895, 1878.495, 2794.705]
 
TE Mistunings (cents)
<10.895, -23.460, 8.391]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.090024
Adjusted Error 25.110098 cents
TE Error 10.814331 cents/octave

Baba (5 & 6)

Equal Temperament Mappings
2357
[<581214]
<6101417]>
 
Reduced Mapping
2357
[<1223]
<0-22-1]>
 
TE Generator Tunings (cents)
<1185.3594, 223.9379]
 
TE Step Tunings (cents)
<158.26804, 65.66987]
 
TE Tuning Map (cents)
<1185.359, 1922.843, 2818.595, 3332.140]
 
TE Mistunings (cents)
<-14.641, 20.888, 32.281, -36.686]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.770589
Adjusted Error 38.494471 cents
TE Error 13.712007 cents/octave

Baffin (270 & 130 & 87)

Equal Temperament Mappings
23571113
[<270428627758934999]
<130206302365450481]
<87138202244301322]>
 
Reduced Mapping
23571113
[<10013-9-1]
<020-743]
<001-241]>
 
TE Generator Tunings (cents)
<1199.9633, 951.0591, 2786.6655]
 
TE Step Tunings (cents)
<4.00970, 0.80133, 0.15139]
 
TE Tuning Map (cents)
<1199.963, 1902.118, 2786.666, 3368.779, 4151.228, 4439.879]
 
TE Mistunings (cents)
<-0.037, 0.163, 0.352, -0.047, -0.090, -0.648]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.474843
Adjusted Error 0.389683 cents
TE Error 0.105307 cents/octave

Baldur (270 & 342 & 130)

Equal Temperament Mappings
235711
[<270428627758934]
<3425427949601183]
<130206302365450]>
 
Reduced Mapping
235711
[<20137]
<0211-2]
<00213]>
 
TE Generator Tunings (cents)
<600.0149, 950.9717, 617.7007]
 
TE Step Tunings (cents)
<1.48800, 2.09277, 0.63495]
 
TE Tuning Map (cents)
<1200.030, 1901.943, 2786.388, 3368.717, 4151.263]
 
TE Mistunings (cents)
<0.030, -0.012, 0.074, -0.109, -0.055]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.395436
Adjusted Error 0.094355 cents
TE Error 0.027275 cents/octave

Baldy (6 & 47)

Equal Temperament Mappings
295713
[<619141722]
<47149109132174]>
 
Reduced Mapping
295713
[<13342]
<01-4-710]>
 
TE Generator Tunings (cents)
<1200.0173, 204.0934]
 
TE Step Tunings (cents)
<7.75073, 24.54283]
 
TE Tuning Map (cents)
<1200.017, 3804.145, 2783.679, 3371.416, 4440.968]
 
TE Mistunings (cents)
<0.017, 0.235, -2.635, 2.590, 0.441]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.805532
Adjusted Error 2.431655 cents
TE Error 0.657126 cents/octave

Bamity (46 & 14c)

Equal Temperament Mappings
235711
[<4673107129159]
<1422323948]>
 
Reduced Mapping
235711
[<21-133]
<051369]>
 
TE Generator Tunings (cents)
<600.5062, 260.6129]
 
TE Step Tunings (cents)
<22.77169, 10.96533]
 
TE Tuning Map (cents)
<1201.012, 1903.571, 2787.462, 3365.196, 4147.035]
 
TE Mistunings (cents)
<1.012, 1.616, 1.148, -3.630, -4.283]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.599856
Adjusted Error 3.632665 cents
TE Error 1.050076 cents/octave

Bamity (46 & 14cf)

Equal Temperament Mappings
23571113
[<4673107129159170]
<142232394851]>
 
Reduced Mapping
23571113
[<21-1330]
<05136917]>
 
TE Generator Tunings (cents)
<600.3940, 260.7894]
 
TE Step Tunings (cents)
<24.34344, 5.78500]
 
TE Tuning Map (cents)
<1200.788, 1904.341, 2789.868, 3365.918, 4148.286, 4433.419]
 
TE Mistunings (cents)
<0.788, 2.386, 3.554, -2.908, -3.032, -7.108]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.577259
Adjusted Error 4.955595 cents
TE Error 1.339191 cents/octave

Baragon (5p & 19p)

Equal Temperament Mappings
235711
[<58121417]
<1930445366]>
 
Reduced Mapping
235711
[<12432]
<0-2-8-17]>
 
TE Generator Tunings (cents)
<1201.1900, 251.4223]
 
TE Step Tunings (cents)
<27.73572, 55.92165]
 
TE Tuning Map (cents)
<1201.190, 1899.535, 2793.381, 3352.148, 4162.336]
 
TE Mistunings (cents)
<1.190, -2.420, 7.068, -16.678, 11.018]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.777895
Adjusted Error 11.828081 cents
TE Error 3.419082 cents/octave

Beatles (10 & 27)

Equal Temperament Mappings
2357
[<10162328]
<27436376]>
 
Reduced Mapping
2357
[<1154]
<02-9-4]>
 
TE Generator Tunings (cents)
<1196.6420, 354.9082]
 
TE Step Tunings (cents)
<9.38502, 40.84414]
 
TE Tuning Map (cents)
<1196.642, 1906.458, 2789.036, 3366.935]
 
TE Mistunings (cents)
<-3.358, 4.503, 2.723, -1.891]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.913753
Adjusted Error 6.459612 cents
TE Error 2.300960 cents/octave

Beatles (27e & 10e)

Equal Temperament Mappings
235711
[<2743637694]
<1016232834]>
 
Reduced Mapping
235711
[<115410]
<02-9-4-22]>
 
TE Generator Tunings (cents)
<1196.7188, 355.1661]
 
TE Step Tunings (cents)
<38.49540, 15.73431]
 
TE Tuning Map (cents)
<1196.719, 1907.051, 2787.099, 3366.211, 4153.534]
 
TE Mistunings (cents)
<-3.281, 5.096, 0.785, -2.615, 2.216]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.744763
Adjusted Error 7.337961 cents
TE Error 2.121146 cents/octave

Beatles (27e & 10e)

Equal Temperament Mappings
23571113
[<2743637694100]
<101623283437]>
 
Reduced Mapping
23571113
[<1154104]
<02-9-4-22-1]>
 
TE Generator Tunings (cents)
<1197.2728, 355.4198]
 
TE Step Tunings (cents)
<37.62035, 18.15235]
 
TE Tuning Map (cents)
<1197.273, 1908.112, 2787.586, 3367.412, 4153.492, 4433.671]
 
TE Mistunings (cents)
<-2.727, 6.157, 1.272, -1.414, 2.174, -6.856]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.594053
Adjusted Error 7.836987 cents
TE Error 2.117853 cents/octave

Beatles (17 & 10)

Contorted Archy (order 2)
 
Equal Temperament Mappings
237
[<172748]
<101628]>
 
Reduced Mapping
237
[<114]
<02-4]>
 
TE Generator Tunings (cents)
<1196.9667, 353.7641]
 
TE Step Tunings (cents)
<53.25871, 29.15686]
 
TE Tuning Map (cents)
<1196.967, 1904.495, 3372.810]
 
TE Mistunings (cents)
<-3.033, 2.540, 3.984]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.100288
Adjusted Error 6.017469 cents
TE Error 2.143466 cents/octave

Beep (5 & 4)

Equal Temperament Mappings
2357
[<581214]
<46911]>
 
Reduced Mapping
2357
[<1233]
<0-2-3-1]>
 
TE Generator Tunings (cents)
<1204.7939, 264.4470]
 
TE Step Tunings (cents)
<147.00609, 117.44087]
 
TE Tuning Map (cents)
<1204.794, 1880.694, 2821.041, 3349.935]
 
TE Mistunings (cents)
<4.794, -21.261, 34.727, -18.891]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.561466
Adjusted Error 30.492203 cents
TE Error 10.861542 cents/octave

Belauensis (15 & 14c)

Equal Temperament Mappings
23571113
[<152435425256]
<142232394852]>
 
Reduced Mapping
23571113
[<123344]
<0-6-10-3-8-4]>
 
TE Generator Tunings (cents)
<1199.1112, 81.6981]
 
TE Step Tunings (cents)
<55.33716, 26.36099]
 
TE Tuning Map (cents)
<1199.111, 1908.033, 2780.352, 3352.239, 4142.860, 4469.652]
 
TE Mistunings (cents)
<-0.889, 6.078, -5.962, -16.587, -8.458, 29.124]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.543188
Adjusted Error 16.884867 cents
TE Error 4.562935 cents/octave

Belobog (31 & 118 & 130)

Equal Temperament Mappings
235711
[<31497287107]
<118187274331408]
<130206302365450]>
 
Reduced Mapping
235711
[<100-3-9]
<01002]
<00258]>
 
TE Generator Tunings (cents)
<1200.0100, 1901.7272, 1393.5621]
 
TE Step Tunings (cents)
<-0.79097, 4.90475, 4.96746]
 
TE Tuning Map (cents)
<1200.010, 1901.727, 2787.124, 3367.780, 4151.861]
 
TE Mistunings (cents)
<0.010, -0.228, 0.810, -1.046, 0.543]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.275327
Adjusted Error 0.855713 cents
TE Error 0.247357 cents/octave

Benediction (72 & 31)

Equal Temperament Mappings
23571113
[<72114167202249266]
<31497287107115]>
 
Reduced Mapping
23571113
[<113327]
<06-7-215-34]>
 
TE Generator Tunings (cents)
<1200.8613, 116.6573]
 
TE Step Tunings (cents)
<13.79135, 6.70593]
 
TE Tuning Map (cents)
<1200.861, 1900.805, 2785.983, 3369.269, 4151.582, 4439.682]
 
TE Mistunings (cents)
<0.861, -1.150, -0.331, 0.443, 0.264, -0.846]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.530301
Adjusted Error 1.769289 cents
TE Error 0.478129 cents/octave

Beyla (72 & 46 & 53)

Equal Temperament Mappings
235711
[<72114167202249]
<4673107129159]
<5384123149183]>
 
Reduced Mapping
235711
[<10016]
<0107-6]
<001-43]>
 
TE Generator Tunings (cents)
<1200.4711, 1901.8589, 2786.2710]
 
TE Step Tunings (cents)
<11.42917, 5.50475, 2.34627]
 
TE Tuning Map (cents)
<1200.471, 1901.859, 2786.271, 3368.399, 4150.486]
 
TE Mistunings (cents)
<0.471, -0.096, -0.043, -0.426, -0.832]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.294305
Adjusted Error 0.856985 cents
TE Error 0.247724 cents/octave

Beyla (72 & 53 & 46)

Equal Temperament Mappings
23571113
[<72114167202249266]
<5384123149183196]
<4673107129159170]>
 
Reduced Mapping
23571113
[<100162]
<0107-64]
<001-43-2]>
 
TE Generator Tunings (cents)
<1200.6842, 1902.1037, 2786.4383]
 
TE Step Tunings (cents)
<11.00132, 4.23198, 4.00639]
 
TE Tuning Map (cents)
<1200.684, 1902.104, 2786.438, 3369.657, 4150.798, 4436.906]
 
TE Mistunings (cents)
<0.684, 0.149, 0.125, 0.831, -0.520, -3.621]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.254842
Adjusted Error 1.879339 cents
TE Error 0.507869 cents/octave

Bidia (12 & 68)

Equal Temperament Mappings
2357
[<12192834]
<68108158191]>
 
Reduced Mapping
2357
[<461013]
<01-2-5]>
 
TE Generator Tunings (cents)
<299.6892, 105.2547]
 
TE Step Tunings (cents)
<8.80551, 16.07486]
 
TE Tuning Map (cents)
<1198.757, 1903.390, 2786.382, 3369.686]
 
TE Mistunings (cents)
<-1.243, 1.435, 0.069, 0.860]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.637277
Adjusted Error 2.201545 cents
TE Error 0.784206 cents/octave

Bidia (12 & 80)

Equal Temperament Mappings
235711
[<1219283442]
<80127186225277]>
 
Reduced Mapping
235711
[<46101317]
<01-2-5-9]>
 
TE Generator Tunings (cents)
<299.6816, 104.9750]
 
TE Step Tunings (cents)
<-1.72956, 15.24351]
 
TE Tuning Map (cents)
<1198.726, 1903.064, 2786.866, 3370.985, 4149.811]
 
TE Mistunings (cents)
<-1.274, 1.109, 0.552, 2.159, -1.507]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.678051
Adjusted Error 2.657295 cents
TE Error 0.768130 cents/octave

Bidia (80 & 68p)

Equal Temperament Mappings
23571113
[<80127186225277296]
<68108158191235252]>
 
Reduced Mapping
23571113
[<4610131712]
<01-2-5-98]>
 
TE Generator Tunings (cents)
<299.7546, 105.2148]
 
TE Step Tunings (cents)
<9.87565, 6.01421]
 
TE Tuning Map (cents)
<1199.018, 1903.742, 2787.116, 3370.735, 4148.894, 4438.773]
 
TE Mistunings (cents)
<-0.982, 1.787, 0.802, 1.909, -2.423, -1.754]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.277362
Adjusted Error 2.839498 cents
TE Error 0.767341 cents/octave

Big Brother (31 & 22 & 14c)

Equal Temperament Mappings
235711
[<31497287107]
<2235516276]
<1422323948]>
 
Reduced Mapping
235711
[<10313]
<01322]
<00412]>
 
TE Generator Tunings (cents)
<1200.6614, 1900.9273, -1629.4372]
 
TE Step Tunings (cents)
<28.53864, 14.04610, 0.49639]
 
TE Tuning Map (cents)
<1200.661, 1900.927, 2787.017, 3373.079, 4144.965]
 
TE Mistunings (cents)
<0.661, -1.028, 0.704, 4.253, -6.353]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.138268
Adjusted Error 3.979912 cents
TE Error 1.150452 cents/octave

Big Brother (9 & 31 & 8d)

Equal Temperament Mappings
23571113
[<91421253133]
<31497287107115]
<81319232830]>
 
Reduced Mapping
23571113
[<103131]
<013220]
<00412-2]>
 
TE Generator Tunings (cents)
<1199.0299, 1899.0270, -1626.0667]
 
TE Step Tunings (cents)
<1.61065, 35.19272, 11.69498]
 
TE Tuning Map (cents)
<1199.030, 1899.027, 2789.904, 3371.017, 4143.010, 4451.163]
 
TE Mistunings (cents)
<-0.970, -2.928, 3.590, 2.191, -8.308, 10.636]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.140616
Adjusted Error 6.985503 cents
TE Error 1.887749 cents/octave

Big Brother (8d & 9p & 22f)

Equal Temperament Mappings
2357111317
[<8131923283033]
<9142125313337]
<22355162768290]>
 
Reduced Mapping
2357111317
[<1031315]
<0132202]
<00412-23]>
 
TE Generator Tunings (cents)
<1198.2279, 1899.5511, -1626.2018]
 
TE Step Tunings (cents)
<13.89434, 33.03111, 35.89969]
 
TE Tuning Map (cents)
<1198.228, 1899.551, 2788.530, 3371.128, 4141.382, 4450.631, 4911.636]
 
TE Mistunings (cents)
<-1.772, -2.404, 2.216, 2.302, -9.936, 10.104, 6.681]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.136847
Adjusted Error 7.786086 cents
TE Error 1.904870 cents/octave

Bikleismic (72 & 34d)

Equal Temperament Mappings
235711
[<72114167202249]
<34547996118]>
 
Reduced Mapping
235711
[<2671614]
<0-6-5-22-15]>
 
TE Generator Tunings (cents)
<600.2679, 283.4052]
 
TE Step Tunings (cents)
<15.74582, 1.96578]
 
TE Tuning Map (cents)
<1200.536, 1901.176, 2784.849, 3369.371, 4152.672]
 
TE Mistunings (cents)
<0.536, -0.779, -1.465, 0.545, 1.354]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.180329
Adjusted Error 1.635451 cents
TE Error 0.472751 cents/octave

Bikleismic (72 & 34d)

Equal Temperament Mappings
23571113
[<72114167202249266]
<34547996118126]>
 
Reduced Mapping
23571113
[<267161414]
<0-6-5-22-15-14]>
 
TE Generator Tunings (cents)
<600.3591, 283.4434]
 
TE Step Tunings (cents)
<15.66468, 2.14298]
 
TE Tuning Map (cents)
<1200.718, 1901.494, 2785.297, 3369.991, 4153.377, 4436.820]
 
TE Mistunings (cents)
<0.718, -0.461, -1.017, 1.165, 2.059, -3.707]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.729773
Adjusted Error 2.302235 cents
TE Error 0.622152 cents/octave

Bimeantone (12 & 38d)

Equal Temperament Mappings
235711
[<1219283442]
<386088106131]>
 
Reduced Mapping
235711
[<23445]
<0141012]>
 
TE Generator Tunings (cents)
<600.7547, 96.1370]
 
TE Step Tunings (cents)
<24.33851, 23.93282]
 
TE Tuning Map (cents)
<1201.509, 1898.401, 2787.567, 3364.388, 4157.417]
 
TE Mistunings (cents)
<1.509, -3.554, 1.253, -4.437, 6.099]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.890883
Adjusted Error 5.621786 cents
TE Error 1.625060 cents/octave

Bimeantone (12f & 38df)

Equal Temperament Mappings
23571113
[<121928344245]
<386088106131140]>
 
Reduced Mapping
23571113
[<234455]
<014101215]>
 
TE Generator Tunings (cents)
<600.8369, 95.9701]
 
TE Step Tunings (cents)
<20.92134, 25.01626]
 
TE Tuning Map (cents)
<1201.674, 1898.481, 2787.228, 3363.049, 4155.826, 4443.736]
 
TE Mistunings (cents)
<1.674, -3.474, 0.914, -5.777, 4.508, 3.209]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.096330
Adjusted Error 5.741857 cents
TE Error 1.551669 cents/octave

Bipelog (14c & 2p)

Equal Temperament Mappings
2357
[<14223239]
<2356]>
 
Reduced Mapping
2357
[<2356]
<01-3-3]>
 
TE Generator Tunings (cents)
<603.8104, 81.7111]
 
TE Step Tunings (cents)
<81.71107, 31.83293]
 
TE Tuning Map (cents)
<1207.621, 1893.142, 2773.919, 3377.729]
 
TE Mistunings (cents)
<7.621, -8.813, -12.395, 8.903]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.558956
Adjusted Error 15.852662 cents
TE Error 5.646832 cents/octave

Bipelog (14c & 2)

Equal Temperament Mappings
235711
[<1422323948]
<23567]>
 
Reduced Mapping
235711
[<23567]
<01-3-3-1]>
 
TE Generator Tunings (cents)
<604.0123, 81.8231]
 
TE Step Tunings (cents)
<81.82311, 31.25056]
 
TE Tuning Map (cents)
<1208.025, 1893.860, 2774.592, 3378.605, 4146.263]
 
TE Mistunings (cents)
<8.025, -8.095, -11.721, 9.779, -5.055]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.398558
Adjusted Error 17.655407 cents
TE Error 5.103557 cents/octave

Birds (31 & 217)

Equal Temperament Mappings
235711
[<31497287107]
<217344504609751]>
 
Reduced Mapping
235711
[<31497287107]
<01002]>
 
TE Generator Tunings (cents)
<38.7101, 4.9378]
 
TE Step Tunings (cents)
<4.14573, 4.93776]
 
TE Tuning Map (cents)
<1200.012, 1901.731, 2787.124, 3367.775, 4151.852]
 
TE Mistunings (cents)
<0.012, -0.224, 0.811, -1.051, 0.534]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.195381
Adjusted Error 0.855738 cents
TE Error 0.247364 cents/octave

Birds (31 & 217)

Equal Temperament Mappings
23571113
[<31497287107115]
<217344504609751803]>
 
Reduced Mapping
23571113
[<31497287107115]
<01002-2]>
 
TE Generator Tunings (cents)
<38.7074, 5.1699]
 
TE Step Tunings (cents)
<2.51776, 5.16995]
 
TE Tuning Map (cents)
<1199.930, 1901.833, 2786.933, 3367.544, 4152.032, 4441.012]
 
TE Mistunings (cents)
<-0.070, -0.122, 0.619, -1.282, 0.714, 0.484]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 12.335455
Adjusted Error 0.894060 cents
TE Error 0.241609 cents/octave

Bischismic (130 & 118)

Equal Temperament Mappings
2357
[<130206302365]
<118187274331]>
 
Reduced Mapping
2357
[<2369]
<01-8-20]>
 
TE Generator Tunings (cents)
<600.0073, 101.5934]
 
TE Step Tunings (cents)
<6.06330, 3.48971]
 
TE Tuning Map (cents)
<1200.015, 1901.615, 2787.297, 3368.198]
 
TE Mistunings (cents)
<0.015, -0.340, 0.983, -0.628]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.190909
Adjusted Error 0.736645 cents
TE Error 0.262398 cents/octave

Bischismic (118 & 130)

Equal Temperament Mappings
235711
[<118187274331408]
<130206302365450]>
 
Reduced Mapping
235711
[<236912]
<01-8-20-30]>
 
TE Generator Tunings (cents)
<600.0167, 101.6151]
 
TE Step Tunings (cents)
<4.79523, 4.87843]
 
TE Tuning Map (cents)
<1200.033, 1901.665, 2787.180, 3367.849, 4151.748]
 
TE Mistunings (cents)
<0.033, -0.290, 0.866, -0.977, 0.430]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.427004
Adjusted Error 0.861705 cents
TE Error 0.249089 cents/octave

Bischismic (130 & 118p)

Equal Temperament Mappings
23571113
[<130206302365450481]
<118187274331408437]>
 
Reduced Mapping
23571113
[<2369123]
<01-8-20-3026]>
 
TE Generator Tunings (cents)
<599.9612, 101.5835]
 
TE Step Tunings (cents)
<6.18631, 3.35341]
 
TE Tuning Map (cents)
<1199.922, 1901.467, 2787.099, 3367.981, 4152.030, 4441.054]
 
TE Mistunings (cents)
<-0.078, -0.488, 0.785, -0.845, 0.712, 0.526]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.495950
Adjusted Error 0.916952 cents
TE Error 0.247795 cents/octave

Bisector (22 & 46 & 14c)

Equal Temperament Mappings
235711
[<2235516276]
<4673107129159]
<1422323948]>
 
Reduced Mapping
235711
[<20003]
<01121]
<002-11]>
 
TE Generator Tunings (cents)
<600.3116, 1904.0766, 441.3351]
 
TE Step Tunings (cents)
<6.82710, 20.24018, 8.52704]
 
TE Tuning Map (cents)
<1200.623, 1904.077, 2786.747, 3366.818, 4146.346]
 
TE Mistunings (cents)
<0.623, 2.122, 0.433, -2.008, -4.972]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.200323
Adjusted Error 3.386583 cents
TE Error 0.978942 cents/octave

Bisemidim (58 & 50)

Equal Temperament Mappings
235711
[<5892135163201]
<5079116140173]>
 
Reduced Mapping
235711
[<21225]
<0911158]>
 
TE Generator Tunings (cents)
<599.6377, 144.5392]
 
TE Step Tunings (cents)
<15.65377, 5.82713]
 
TE Tuning Map (cents)
<1199.275, 1900.490, 2789.207, 3367.363, 4154.502]
 
TE Mistunings (cents)
<-0.725, -1.465, 2.893, -1.463, 3.184]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.317080
Adjusted Error 3.113358 cents
TE Error 0.899962 cents/octave

Bisemidim (58 & 8d)

Equal Temperament Mappings
23571113
[<5892135163201215]
<81319232830]>
 
Reduced Mapping
23571113
[<212255]
<091115810]>
 
TE Generator Tunings (cents)
<599.5236, 144.5379]
 
TE Step Tunings (cents)
<21.37192, -5.06551]
 
TE Tuning Map (cents)
<1199.047, 1900.365, 2788.964, 3367.116, 4153.921, 4442.997]
 
TE Mistunings (cents)
<-0.953, -1.590, 2.651, -1.710, 2.603, 2.469]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.999952
Adjusted Error 3.240153 cents
TE Error 0.875613 cents/octave

Bisesqui (342 & 130)

Equal Temperament Mappings
235711
[<3425427949601183]
<130206302365450]>
 
Reduced Mapping
235711
[<22141023]
<04-32-15-55]>
 
TE Generator Tunings (cents)
<600.0429, 175.4474]
 
TE Step Tunings (cents)
<3.26928, 0.63070]
 
TE Tuning Map (cents)
<1200.086, 1901.875, 2786.282, 3368.717, 4151.377]
 
TE Mistunings (cents)
<0.086, -0.080, -0.032, -0.109, 0.059]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 14.596803
Adjusted Error 0.168374 cents
TE Error 0.048671 cents/octave

Bison (130 & 46)

Equal Temperament Mappings
2357
[<130206302365]
<4673107129]>
 
Reduced Mapping
2357
[<2573]
<0-7-910]>
 
TE Generator Tunings (cents)
<599.9415, 156.9093]
 
TE Step Tunings (cents)
<9.26559, -0.10096]
 
TE Tuning Map (cents)
<1199.883, 1901.342, 2787.406, 3368.918]
 
TE Mistunings (cents)
<-0.117, -0.613, 1.093, 0.092]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.452257
Adjusted Error 0.871822 cents
TE Error 0.310549 cents/octave

Bison (46 & 130)

Equal Temperament Mappings
235711
[<4673107129159]
<130206302365450]>
 
Reduced Mapping
235711
[<25733]
<0-7-91015]>
 
TE Generator Tunings (cents)
<599.8778, 156.8512]
 
TE Step Tunings (cents)
<2.59706, 8.30993]
 
TE Tuning Map (cents)
<1199.756, 1901.431, 2787.484, 3368.145, 4152.401]
 
TE Mistunings (cents)
<-0.244, -0.524, 1.170, -0.681, 1.083]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.267152
Adjusted Error 1.178230 cents
TE Error 0.340585 cents/octave

Bison (130 & 46)

Equal Temperament Mappings
23571113
[<130206302365450481]
<4673107129159170]>
 
Reduced Mapping
23571113
[<257334]
<0-7-9101513]>
 
TE Generator Tunings (cents)
<599.9164, 156.8818]
 
TE Step Tunings (cents)
<8.78361, 1.26009]
 
TE Tuning Map (cents)
<1199.833, 1901.409, 2787.478, 3368.567, 4152.976, 4439.129]
 
TE Mistunings (cents)
<-0.167, -0.546, 1.165, -0.259, 1.659, -1.398]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.153599
Adjusted Error 1.333589 cents
TE Error 0.360387 cents/octave

Bisupermajor (140 & 118)

Equal Temperament Mappings
2357
[<140222325393]
<118187274331]>
 
Reduced Mapping
2357
[<2161]
<08-517]>
 
TE Generator Tunings (cents)
<600.0295, 162.8141]
 
TE Step Tunings (cents)
<5.56063, 3.57264]
 
TE Tuning Map (cents)
<1200.059, 1902.542, 2786.107, 3367.870]
 
TE Mistunings (cents)
<0.059, 0.587, -0.207, -0.956]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.837741
Adjusted Error 0.722428 cents
TE Error 0.257334 cents/octave

Bisupermajor (118 & 22)

Equal Temperament Mappings
235711
[<118187274331408]
<2235516276]>
 
Reduced Mapping
235711
[<21618]
<08-517-4]>
 
TE Generator Tunings (cents)
<600.1226, 162.8066]
 
TE Step Tunings (cents)
<9.49529, 3.62732]
 
TE Tuning Map (cents)
<1200.245, 1902.575, 2786.703, 3367.835, 4149.755]
 
TE Mistunings (cents)
<0.245, 0.620, 0.389, -0.991, -1.563]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.690287
Adjusted Error 1.168345 cents
TE Error 0.337727 cents/octave

Blackbirds (4 & 20)

Equal Temperament Mappings
21113
[<41415]
<206974]>
 
Reduced Mapping
21113
[<41415]
<0-1-1]>
 
TE Generator Tunings (cents)
<299.9738, 53.3351]
 
TE Step Tunings (cents)
<33.29812, 53.33513]
 
TE Tuning Map (cents)
<1199.895, 4146.298, 4446.272]
 
TE Mistunings (cents)
<-0.105, -5.020, 5.744]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.528257
Adjusted Error 4.545285 cents
TE Error 1.228309 cents/octave

Blacksmith (5 & 10)

Equal Temperament Mappings
2357
[<581214]
<10162328]>
 
Reduced Mapping
2357
[<581214]
<00-10]>
 
TE Generator Tunings (cents)
<239.4454, 87.0309]
 
TE Step Tunings (cents)
<65.38349, 87.03095]
 
TE Tuning Map (cents)
<1197.227, 1915.563, 2786.314, 3352.235]
 
TE Mistunings (cents)
<-2.773, 13.608, -0.000, -16.590]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.934589
Adjusted Error 15.139493 cents
TE Error 5.392796 cents/octave

Blacksmith (5p & 15)

Equal Temperament Mappings
235711
[<58121417]
<1524354252]>
 
Reduced Mapping
235711
[<58121417]
<00-101]>
 
TE Generator Tunings (cents)
<239.3606, 84.8252]
 
TE Step Tunings (cents)
<-15.11509, 84.82522]
 
TE Tuning Map (cents)
<1196.803, 1914.885, 2787.502, 3351.048, 4153.955]
 
TE Mistunings (cents)
<-3.197, 12.930, 1.188, -17.778, 2.637]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.154217
Adjusted Error 16.785469 cents
TE Error 4.852089 cents/octave

Blacksmith (10p & 5p)

Equal Temperament Mappings
23571113
[<101623283537]
<5812141719]>
 
Reduced Mapping
23571113
[<5811141818]
<0010-11]>
 
TE Generator Tunings (cents)
<239.2112, 150.5402]
 
TE Step Tunings (cents)
<88.67103, 61.86918]
 
TE Tuning Map (cents)
<1196.056, 1913.690, 2781.864, 3348.957, 4155.262, 4456.343]
 
TE Mistunings (cents)
<-3.944, 11.735, -4.450, -19.869, 3.944, 15.815]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.147218
Adjusted Error 18.109343 cents
TE Error 4.893835 cents/octave

Blackwood (5 & 15)

Equal Temperament Mappings
235
[<5812]
<152435]>
 
Reduced Mapping
235
[<5812]
<00-1]>
 
TE Generator Tunings (cents)
<238.8615, 80.0247]
 
TE Step Tunings (cents)
<-1.21269, 80.02474]
 
TE Tuning Map (cents)
<1194.308, 1910.892, 2786.314]
 
TE Mistunings (cents)
<-5.692, 8.937, 0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.019941
Adjusted Error 10.741151 cents
TE Error 4.625962 cents/octave

Blair (9 & 22p)

Equal Temperament Mappings
23571113
[<91421253133]
<223551627681]>
 
Reduced Mapping
23571113
[<103133]
<07-3823]>
 
TE Generator Tunings (cents)
<1201.8377, 271.7161]
 
TE Step Tunings (cents)
<31.43415, 41.76956]
 
TE Tuning Map (cents)
<1201.838, 1902.013, 2790.365, 3375.567, 4148.945, 4420.661]
 
TE Mistunings (cents)
<1.838, 0.058, 4.051, 6.741, -2.373, -19.866]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.879107
Adjusted Error 9.729646 cents
TE Error 2.629322 cents/octave

Blair (9 & 22)

Equal Temperament Mappings
2351113
[<914213133]
<2235517681]>
 
Reduced Mapping
2351113
[<10333]
<07-323]>
 
TE Generator Tunings (cents)
<1202.0868, 272.0305]
 
TE Step Tunings (cents)
<25.76238, 44.10115]
 
TE Tuning Map (cents)
<1202.087, 1904.214, 2790.169, 4150.321, 4422.352]
 
TE Mistunings (cents)
<2.087, 2.259, 3.855, -0.997, -18.176]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.898921
Adjusted Error 9.556963 cents
TE Error 2.582656 cents/octave

Bleu (17 & 9)

Equal Temperament Mappings
2371113
[<1727485963]
<914253133]>
 
Reduced Mapping
2371113
[<11233]
<05746]>
 
TE Generator Tunings (cents)
<1198.9922, 139.8722]
 
TE Step Tunings (cents)
<59.85795, 20.15633]
 
TE Tuning Map (cents)
<1198.992, 1898.353, 3377.090, 4156.465, 4436.210]
 
TE Mistunings (cents)
<-1.008, -3.602, 8.264, 5.148, -4.318]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.090525
Adjusted Error 7.102627 cents
TE Error 1.919401 cents/octave

Blue (5 & 2d)

Equal Temperament Mappings
237
[<5814]
<235]>
 
Reduced Mapping
237
[<124]
<0-1-3]>
 
TE Generator Tunings (cents)
<1196.3491, 476.9858]
 
TE Step Tunings (cents)
<242.37752, -7.76927]
 
TE Tuning Map (cents)
<1196.349, 1915.712, 3354.439]
 
TE Mistunings (cents)
<-3.651, 13.757, -14.387]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.439957
Adjusted Error 17.376400 cents
TE Error 6.189599 cents/octave

Blue Plus Yellow (5 & 10 & 3d)

Equal Temperament Mappings
2357
[<581214]
<10162328]
<3579]>
 
Reduced Mapping
2357
[<100-2]
<0103]
<0010]>
 
TE Generator Tunings (cents)
<1196.3491, 1915.7123, 2786.3137]
 
TE Step Tunings (cents)
<67.86792, 83.37016, 7.76927]
 
TE Tuning Map (cents)
<1196.349, 1915.712, 2786.314, 3354.439]
 
TE Mistunings (cents)
<-3.651, 13.757, 0.000, -14.387]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.071055
Adjusted Error 15.048404 cents
TE Error 5.360350 cents/octave

Bluebird (15 & 31 & 27e)

Equal Temperament Mappings
23571113
[<152435425256]
<31497287107115]
<2743637694100]>
 
Reduced Mapping
23571113
[<100-1-59]
<010-2-24]
<00135-5]>
 
TE Generator Tunings (cents)
<1198.7194, 1900.3688, 2789.3582]
 
TE Step Tunings (cents)
<-1.78755, 22.96145, 19.02696]
 
TE Tuning Map (cents)
<1198.719, 1900.369, 2789.358, 3368.618, 4152.456, 4443.159]
 
TE Mistunings (cents)
<-1.281, -1.586, 3.045, -0.208, 1.138, 2.632]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.198683
Adjusted Error 3.371291 cents
TE Error 0.911052 cents/octave

Bluebirds (13 & 33)

Equal Temperament Mappings
21113
[<134548]
<33114122]>
 
Reduced Mapping
21113
[<134]
<03-2]>
 
TE Generator Tunings (cents)
<1200.8805, 182.5019]
 
TE Step Tunings (cents)
<18.15966, 29.23651]
 
TE Tuning Map (cents)
<1200.880, 4150.147, 4438.518]
 
TE Mistunings (cents)
<0.880, -1.171, -2.009]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.579391
Adjusted Error 2.325390 cents
TE Error 0.628409 cents/octave

Bohpier (41 & 8d)

Equal Temperament Mappings
2357
[<416595115]
<8131923]>
 
Reduced Mapping
2357
[<1000]
<0131923]>
 
TE Generator Tunings (cents)
<1200.0000, 146.4741]
 
TE Step Tunings (cents)
<28.20745, 5.43680]
 
TE Tuning Map (cents)
<1200.000, 1904.163, 2783.007, 3368.904]
 
TE Mistunings (cents)
<-0.000, 2.208, -3.306, 0.078]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.547488
Adjusted Error 2.796469 cents
TE Error 0.996122 cents/octave

Bohpier (41 & 8d)

Equal Temperament Mappings
235711
[<416595115142]
<813192328]>
 
Reduced Mapping
235711
[<10002]
<013192312]>
 
TE Generator Tunings (cents)
<1199.2362, 146.4513]
 
TE Step Tunings (cents)
<27.62576, 8.32252]
 
TE Tuning Map (cents)
<1199.236, 1903.867, 2782.575, 3368.380, 4155.888]
 
TE Mistunings (cents)
<-0.764, 1.912, -3.739, -0.446, 4.570]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.350742
Adjusted Error 3.914501 cents
TE Error 1.131545 cents/octave

Bohpier (41 & 8d)

Equal Temperament Mappings
23571113
[<416595115142152]
<81319232830]>
 
Reduced Mapping
23571113
[<100022]
<01319231214]>
 
TE Generator Tunings (cents)
<1198.5564, 146.4263]
 
TE Step Tunings (cents)
<27.14604, 10.69610]
 
TE Tuning Map (cents)
<1198.556, 1903.542, 2782.100, 3367.805, 4154.228, 4447.081]
 
TE Mistunings (cents)
<-1.444, 1.587, -4.214, -1.021, 2.911, 6.553]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.135445
Adjusted Error 4.861676 cents
TE Error 1.313810 cents/octave

Borneo (270 & 72 & 87)

Equal Temperament Mappings
23571113
[<270428627758934999]
<72114167202249266]
<87138202244301322]>
 
Reduced Mapping
23571113
[<30048-3]
<020-413]
<001201]>
 
TE Generator Tunings (cents)
<400.0003, 951.0850, 2786.5833]
 
TE Step Tunings (cents)
<4.32231, 0.42081, 0.03080]
 
TE Tuning Map (cents)
<1200.001, 1902.170, 2786.583, 3368.827, 4151.087, 4439.838]
 
TE Mistunings (cents)
<0.001, 0.215, 0.270, 0.002, -0.231, -0.690]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.445227
Adjusted Error 0.402874 cents
TE Error 0.108872 cents/octave

Borwell (31 & 75e)

Equal Temperament Mappings
235711
[<31497287107]
<75119174211260]>
 
Reduced Mapping
235711
[<170917]
<0-146-16-35]>
 
TE Generator Tunings (cents)
<1200.0213, 464.2560]
 
TE Step Tunings (cents)
<18.58372, 8.31901]
 
TE Tuning Map (cents)
<1200.021, 1900.565, 2785.536, 3372.095, 4151.401]
 
TE Mistunings (cents)
<0.021, -1.390, -0.778, 3.270, 0.084]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.942850
Adjusted Error 2.314885 cents
TE Error 0.669152 cents/octave

Bosonic (130 & 26)

Equal Temperament Mappings
235711
[<130206302365450]
<2641607390]>
 
Reduced Mapping
235711
[<2641607390]
<01200]>
 
TE Generator Tunings (cents)
<46.1443, 9.2497]
 
TE Step Tunings (cents)
<9.24973, -0.10434]
 
TE Tuning Map (cents)
<1199.753, 1901.167, 2787.159, 3368.536, 4152.989]
 
TE Mistunings (cents)
<-0.247, -0.788, 0.845, -0.290, 1.672]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.692850
Adjusted Error 1.280485 cents
TE Error 0.370143 cents/octave

Bosonic (130 & 26)

Equal Temperament Mappings
23571113
[<130206302365450481]
<264160739096]>
 
Reduced Mapping
23571113
[<264160739096]
<012001]>
 
TE Generator Tunings (cents)
<46.1469, 9.2373]
 
TE Step Tunings (cents)
<9.23730, -0.03955]
 
TE Tuning Map (cents)
<1199.820, 1901.262, 2787.291, 3368.726, 4153.224, 4439.343]
 
TE Mistunings (cents)
<-0.180, -0.693, 0.977, -0.099, 1.906, -1.184]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.852046
Adjusted Error 1.358006 cents
TE Error 0.366985 cents/octave

Bossier (37 & 20)

Equal Temperament Mappings
271113
[<37104128137]
<20566974]>
 
Reduced Mapping
271113
[<1013]
<0872]>
 
TE Generator Tunings (cents)
<1199.8676, 421.2626]
 
TE Step Tunings (cents)
<26.17856, 11.56305]
 
TE Tuning Map (cents)
<1199.868, 3370.101, 4148.706, 4442.128]
 
TE Mistunings (cents)
<-0.132, 1.275, -2.612, 1.600]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.138138
Adjusted Error 1.832499 cents
TE Error 0.495211 cents/octave

Bp Diatonic (8d & 11cd)

Equal Temperament Mappings
357
[<131923]
<172530]>
 
Reduced Mapping
357
[<112]
<02-1]>
 
TE Generator Tunings (cents)
<1903.7424, 440.9020]
 
TE Step Tunings (cents)
<119.63514, 20.49916]
 
TE Tuning Map (cents)
<1903.742, 2785.546, 3366.583]
 
TE Mistunings (cents)
<1.787, -0.767, -2.243]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.322183
Adjusted Error 2.303277 cents
TE Error 0.820444 cents/octave

Brahmagupta (441 & 1106)

Equal Temperament Mappings
2357
[<44169910241238]
<1106175325683105]>
 
Reduced Mapping
2357
[<7111620]
<038-11]>
 
TE Generator Tunings (cents)
<171.4275, 5.4299]
 
TE Step Tunings (cents)
<0.78600, 0.77158]
 
TE Tuning Map (cents)
<1199.993, 1901.992, 2786.280, 3368.822]
 
TE Mistunings (cents)
<-0.007, 0.037, -0.034, -0.004]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 19.266779
Adjusted Error 0.040461 cents
TE Error 0.014412 cents/octave

Brahmagupta (224 & 217)

Equal Temperament Mappings
235711
[<224355520629775]
<217344504609751]>
 
Reduced Mapping
235711
[<711162024]
<038-117]>
 
TE Generator Tunings (cents)
<171.4208, 5.4184]
 
TE Step Tunings (cents)
<3.45056, 1.96783]
 
TE Tuning Map (cents)
<1199.945, 1901.884, 2786.079, 3368.813, 4152.027]
 
TE Mistunings (cents)
<-0.055, -0.071, -0.234, -0.013, 0.709]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 17.855458
Adjusted Error 0.370160 cents
TE Error 0.107000 cents/octave

breed (171 & 99 & 130)

Equal Temperament Mappings
2357
[<171271397480]
<99157230278]
<130206302365]>
 
Reduced Mapping
2357
[<1112]
<0211]
<0021]>
 
TE Generator Tunings (cents)
<1200.0206, 350.9724, 617.6826]
 
TE Step Tunings (cents)
<5.72522, 1.77208, 0.35056]
 
TE Tuning Map (cents)
<1200.021, 1901.965, 2786.358, 3368.696]
 
TE Mistunings (cents)
<0.021, 0.010, 0.044, -0.130]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.160134
Adjusted Error 0.076486 cents
TE Error 0.027245 cents/octave

Bridgetown (29 & 5)

Equal Temperament Mappings
2311/513/5
[<29463340]
<5867]>
 
Reduced Mapping
2311/513/5
[<1232]
<0-2-9-3]>
 
TE Generator Tunings (cents)
<1199.5045, 248.1827]
 
TE Step Tunings (cents)
<41.40893, -0.27087]
 
TE Tuning Map (cents)
<1199.505, 1902.644, 1364.869, 1654.461]
 
TE Mistunings (cents)
<-0.495, 0.689, -0.135, 0.247]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 3.031205
Adjusted Error 0.549309 cents
TE Error 0.346575 cents/octave

Bug (5 & 4)

Equal Temperament Mappings
235
[<5812]
<469]>
 
Reduced Mapping
235
[<123]
<0-2-3]>
 
TE Generator Tunings (cents)
<1200.0000, 260.3879]
 
TE Step Tunings (cents)
<158.44830, 101.93963]
 
TE Tuning Map (cents)
<1200.000, 1879.224, 2818.836]
 
TE Mistunings (cents)
<0.000, -22.731, 32.523]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.601999
Adjusted Error 26.873841 cents
TE Error 11.573933 cents/octave

Bunya (41 & 34d)

Equal Temperament Mappings
2357
[<416595115]
<34547996]>
 
Reduced Mapping
2357
[<111-1]
<04926]>
 
TE Generator Tunings (cents)
<1200.3025, 175.7849]
 
TE Step Tunings (cents)
<24.82512, 5.36684]
 
TE Tuning Map (cents)
<1200.302, 1903.442, 2782.367, 3370.105]
 
TE Mistunings (cents)
<0.302, 1.487, -3.947, 1.279]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.384711
Adjusted Error 2.831516 cents
TE Error 1.008606 cents/octave

Bunya (41 & 34d)

Equal Temperament Mappings
235711
[<416595115142]
<34547996118]>
 
Reduced Mapping
235711
[<111-12]
<0492610]>
 
TE Generator Tunings (cents)
<1199.7543, 175.7411]
 
TE Step Tunings (cents)
<23.57543, 6.85770]
 
TE Tuning Map (cents)
<1199.754, 1902.718, 2781.424, 3369.513, 4156.919]
 
TE Mistunings (cents)
<-0.246, 0.763, -4.890, 0.687, 5.601]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.056377
Adjusted Error 4.211139 cents
TE Error 1.217292 cents/octave

Bunya (41 & 34d)

Equal Temperament Mappings
23571113
[<416595115142152]
<34547996118126]>
 
Reduced Mapping
23571113
[<111-124]
<0492610-2]>
 
TE Generator Tunings (cents)
<1199.1124, 175.7557]
 
TE Step Tunings (cents)
<19.86803, 11.30951]
 
TE Tuning Map (cents)
<1199.112, 1902.135, 2780.914, 3370.536, 4155.782, 4444.938]
 
TE Mistunings (cents)
<-0.888, 0.180, -5.400, 1.710, 4.464, 4.411]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.210337
Adjusted Error 4.696797 cents
TE Error 1.269254 cents/octave

Buzzard (53 & 58)

Equal Temperament Mappings
2357
[<5384123149]
<5892135163]>
 
Reduced Mapping
2357
[<10-64]
<0421-3]>
 
TE Generator Tunings (cents)
<1199.3071, 475.3615]
 
TE Step Tunings (cents)
<13.09808, 8.70878]
 
TE Tuning Map (cents)
<1199.307, 1901.446, 2786.748, 3371.144]
 
TE Mistunings (cents)
<-0.693, -0.509, 0.435, 2.318]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.931326
Adjusted Error 1.600518 cents
TE Error 0.570116 cents/octave

Buzzard (58 & 53)

Equal Temperament Mappings
235711
[<5892135163201]
<5384123149183]>
 
Reduced Mapping
235711
[<10-64-12]
<0421-339]>
 
TE Generator Tunings (cents)
<1199.2531, 475.4043]
 
TE Step Tunings (cents)
<12.11401, 9.37058]
 
TE Tuning Map (cents)
<1199.253, 1901.617, 2787.972, 3370.799, 4149.731]
 
TE Mistunings (cents)
<-0.747, -0.338, 1.658, 1.973, -1.587]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.934398
Adjusted Error 2.085980 cents
TE Error 0.602983 cents/octave

Buzzard (58 & 53)

Equal Temperament Mappings
23571113
[<5892135163201215]
<5384123149183196]>
 
Reduced Mapping
23571113
[<10-64-12-7]
<0421-33927]>
 
TE Generator Tunings (cents)
<1199.2406, 475.3962]
 
TE Step Tunings (cents)
<11.94566, 9.55457]
 
TE Tuning Map (cents)
<1199.241, 1901.585, 2787.877, 3370.774, 4149.565, 4441.013]
 
TE Mistunings (cents)
<-0.759, -0.370, 1.563, 1.948, -1.753, 0.486]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.636184
Adjusted Error 2.049116 cents
TE Error 0.553749 cents/octave

Calliope (12 & 14c & 7d)

Equal Temperament Mappings
235711
[<1219283442]
<1422323948]
<711161924]>
 
Reduced Mapping
235711
[<10-40-6]
<01406]
<00010]>
 
TE Generator Tunings (cents)
<1202.1032, 1896.6716, 3368.8259]
 
TE Step Tunings (cents)
<53.56660, 29.45074, 20.99908]
 
TE Tuning Map (cents)
<1202.103, 1896.672, 2778.274, 3368.826, 4167.411]
 
TE Mistunings (cents)
<2.103, -5.283, -8.040, 0.000, 16.093]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.094258
Adjusted Error 10.847896 cents
TE Error 3.135745 cents/octave

Canopus (8d & 39d)

Equal Temperament Mappings
357
[<131923]
<6291110]>
 
Reduced Mapping
357
[<133]
<0-5-4]>
 
TE Generator Tunings (cents)
<1901.7828, 583.9055]
 
TE Step Tunings (cents)
<68.26738, 16.35979]
 
TE Tuning Map (cents)
<1901.783, 2785.821, 3369.726]
 
TE Mistunings (cents)
<-0.172, -0.493, 0.900]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.564293
Adjusted Error 0.647803 cents
TE Error 0.230752 cents/octave

Cantrip (19p & 6f)

Equal Temperament Mappings
23571113
[<193044536670]
<61014172123]>
 
Reduced Mapping
23571113
[<102231]
<01025317]>
 
TE Generator Tunings (cents)
<1200.4755, 190.4354]
 
TE Step Tunings (cents)
<57.86329, 16.84550]
 
TE Tuning Map (cents)
<1200.475, 1904.354, 2781.822, 3353.128, 4172.733, 4437.877]
 
TE Mistunings (cents)
<0.475, 2.399, -4.492, -15.698, 21.415, -2.651]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.270513
Adjusted Error 13.201032 cents
TE Error 3.567423 cents/octave

Casablanca (31 & 42)

Equal Temperament Mappings
2357
[<31497287]
<426798118]>
 
Reduced Mapping
2357
[<1-7-41]
<019144]>
 
TE Generator Tunings (cents)
<1199.6310, 542.0152]
 
TE Step Tunings (cents)
<28.34969, 7.63787]
 
TE Tuning Map (cents)
<1199.631, 1900.872, 2789.689, 3367.692]
 
TE Mistunings (cents)
<-0.369, -1.083, 3.375, -1.134]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.680948
Adjusted Error 2.381827 cents
TE Error 0.848424 cents/octave

Casablanca (31 & 11b)

Equal Temperament Mappings
235711
[<31497287107]
<1118263138]>
 
Reduced Mapping
235711
[<1-7-413]
<0191441]>
 
TE Generator Tunings (cents)
<1200.6479, 542.3693]
 
TE Step Tunings (cents)
<37.17744, 4.37703]
 
TE Tuning Map (cents)
<1200.648, 1900.481, 2790.578, 3370.125, 4144.313]
 
TE Mistunings (cents)
<0.648, -1.474, 4.265, 1.299, -7.005]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.565016
Adjusted Error 4.634164 cents
TE Error 1.339574 cents/octave

Cassandra (12 & 41)

Equal Temperament Mappings
235711
[<1219283442]
<416595115142]>
 
Reduced Mapping
235711
[<12-1-3-4]
<0-181418]>
 
TE Generator Tunings (cents)
<1200.1989, 497.7111]
 
TE Step Tunings (cents)
<2.77352, 28.46138]
 
TE Tuning Map (cents)
<1200.199, 1902.687, 2781.490, 3367.358, 4158.004]
 
TE Mistunings (cents)
<0.199, 0.732, -4.824, -1.467, 6.686]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.464843
Adjusted Error 4.531040 cents
TE Error 1.309764 cents/octave

Cassandra (12f & 41)

Equal Temperament Mappings
23571113
[<121928344245]
<416595115142152]>
 
Reduced Mapping
23571113
[<12-1-3-4-5]
<0-18141821]>
 
TE Generator Tunings (cents)
<1200.3146, 497.5710]
 
TE Step Tunings (cents)
<-4.93511, 30.72039]
 
TE Tuning Map (cents)
<1200.315, 1903.058, 2780.254, 3365.051, 4155.020, 4447.419]
 
TE Mistunings (cents)
<0.315, 1.103, -6.060, -3.775, 3.702, 6.891]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.524619
Adjusted Error 5.615386 cents
TE Error 1.517491 cents/octave

Cata (53 & 34)

Equal Temperament Mappings
23513
[<5384123196]
<345479126]>
 
Reduced Mapping
23513
[<1010]
<06514]>
 
TE Generator Tunings (cents)
<1200.1213, 317.1076]
 
TE Step Tunings (cents)
<19.43199, 5.00665]
 
TE Tuning Map (cents)
<1200.121, 1902.646, 2785.660, 4439.507]
 
TE Mistunings (cents)
<0.121, 0.691, -0.654, -1.021]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.553107
Adjusted Error 1.110388 cents
TE Error 0.300069 cents/octave

Cataclysmic (19e & 34d)

Equal Temperament Mappings
235711
[<1930445365]
<34547996118]>
 
Reduced Mapping
235711
[<101-3-5]
<0652232]>
 
TE Generator Tunings (cents)
<1199.9656, 317.0333]
 
TE Step Tunings (cents)
<20.55973, 23.80384]
 
TE Tuning Map (cents)
<1199.966, 1902.200, 2785.132, 3374.835, 4145.236]
 
TE Mistunings (cents)
<-0.034, 0.245, -1.182, 6.009, -6.082]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.461527
Adjusted Error 4.363850 cents
TE Error 1.261436 cents/octave

Cataclysmic (19e & 34d)

Equal Temperament Mappings
23571113
[<193044536570]
<34547996118126]>
 
Reduced Mapping
23571113
[<101-3-50]
<065223214]>
 
TE Generator Tunings (cents)
<1200.0866, 317.0589]
 
TE Step Tunings (cents)
<20.77585, 23.68663]
 
TE Tuning Map (cents)
<1200.087, 1902.354, 2785.381, 3375.037, 4145.453, 4438.825]
 
TE Mistunings (cents)
<0.087, 0.399, -0.932, 6.211, -5.865, -1.703]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.174415
Adjusted Error 4.329278 cents
TE Error 1.169936 cents/octave

Catafourth (130 & 103)

Equal Temperament Mappings
235711
[<130206302365450]
<103163239289356]>
 
Reduced Mapping
235711
[<113171332]
<0-28-36-25-70]>
 
TE Generator Tunings (cents)
<1200.0224, 489.2610]
 
TE Step Tunings (cents)
<7.05181, 2.75037]
 
TE Tuning Map (cents)
<1200.022, 1900.982, 2786.983, 3368.765, 4152.443]
 
TE Mistunings (cents)
<0.022, -0.973, 0.669, -0.061, 1.125]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.275888
Adjusted Error 1.164860 cents
TE Error 0.336720 cents/octave

Catafourth (130 & 103)

Equal Temperament Mappings
23571113
[<130206302365450481]
<103163239289356381]>
 
Reduced Mapping
23571113
[<1131713329]
<0-28-36-25-70-13]>
 
TE Generator Tunings (cents)
<1200.1028, 489.2982]
 
TE Step Tunings (cents)
<6.60143, 3.31958]
 
TE Tuning Map (cents)
<1200.103, 1900.986, 2787.012, 3368.881, 4152.415, 4440.048]
 
TE Mistunings (cents)
<0.103, -0.969, 0.698, 0.055, 1.097, -0.479]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.431710
Adjusted Error 1.162450 cents
TE Error 0.314138 cents/octave

Cataharry (72 & 53 & 130)

Equal Temperament Mappings
2357
[<72114167202]
<5384123149]
<130206302365]>
 
Reduced Mapping
2357
[<100-2]
<0209]
<001-1]>
 
TE Generator Tunings (cents)
<1200.1074, 950.6741, 2786.6031]
 
TE Step Tunings (cents)
<4.22183, 1.90466, 6.11683]
 
TE Tuning Map (cents)
<1200.107, 1901.348, 2786.603, 3369.249]
 
TE Mistunings (cents)
<0.107, -0.607, 0.289, 0.423]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.199749
Adjusted Error 0.621996 cents
TE Error 0.221559 cents/octave

Catakleismic (72 & 53)

Equal Temperament Mappings
2357
[<72114167202]
<5384123149]>
 
Reduced Mapping
2357
[<101-3]
<06522]>
 
TE Generator Tunings (cents)
<1200.5972, 316.8895]
 
TE Step Tunings (cents)
<13.21978, 4.69383]
 
TE Tuning Map (cents)
<1200.597, 1901.337, 2785.045, 3369.777]
 
TE Mistunings (cents)
<0.597, -0.618, -1.269, 0.951]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.868157
Adjusted Error 1.348009 cents
TE Error 0.480170 cents/octave

Catakleismic (72 & 53)

Equal Temperament Mappings
235711
[<72114167202249]
<5384123149183]>
 
Reduced Mapping
235711
[<101-39]
<06522-21]>
 
TE Generator Tunings (cents)
<1200.6532, 316.8913]
 
TE Step Tunings (cents)
<13.90831, 3.75953]
 
TE Tuning Map (cents)
<1200.653, 1901.348, 2785.109, 3369.648, 4151.162]
 
TE Mistunings (cents)
<0.653, -0.607, -1.204, 0.822, -0.155]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.587812
Adjusted Error 1.492236 cents
TE Error 0.431353 cents/octave

Catakleismic (72 & 53)

Equal Temperament Mappings
23571113
[<72114167202249266]
<5384123149183196]>
 
Reduced Mapping
23571113
[<101-390]
<06522-2114]>
 
TE Generator Tunings (cents)
<1200.7998, 316.9486]
 
TE Step Tunings (cents)
<12.91967, 5.10536]
 
TE Tuning Map (cents)
<1200.800, 1901.692, 2785.543, 3370.471, 4151.277, 4437.281]
 
TE Mistunings (cents)
<0.800, -0.263, -0.771, 1.645, -0.041, -3.247]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.270026
Adjusted Error 2.077208 cents
TE Error 0.561341 cents/octave

Catakleismic (19 & 53)

Equal Temperament Mappings
235713
[<1930445370]
<5384123149196]>
 
Reduced Mapping
235713
[<101-30]
<0652214]>
 
TE Generator Tunings (cents)
<1200.7854, 316.9483]
 
TE Step Tunings (cents)
<12.73736, 18.09010]
 
TE Tuning Map (cents)
<1200.785, 1901.690, 2785.527, 3370.506, 4437.276]
 
TE Mistunings (cents)
<0.785, -0.265, -0.787, 1.680, -3.252]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.568542
Adjusted Error 2.275132 cents
TE Error 0.614827 cents/octave

Catalan (15 & 34d)

Equal Temperament Mappings
235711
[<1524354252]
<34547996118]>
 
Reduced Mapping
235711
[<10164]
<065-12-2]>
 
TE Generator Tunings (cents)
<1197.0491, 317.4989]
 
TE Step Tunings (cents)
<21.52110, 25.71272]
 
TE Tuning Map (cents)
<1197.049, 1904.993, 2784.544, 3372.308, 4153.199]
 
TE Mistunings (cents)
<-2.951, 3.038, -1.770, 3.482, 1.881]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.739392
Adjusted Error 5.951380 cents
TE Error 1.720335 cents/octave

Cataleptic (19p & 34d)

Equal Temperament Mappings
235711
[<1930445366]
<34547996118]>
 
Reduced Mapping
235711
[<101-34]
<06522-2]>
 
TE Generator Tunings (cents)
<1198.6702, 316.7315]
 
TE Step Tunings (cents)
<19.16027, 24.54780]
 
TE Tuning Map (cents)
<1198.670, 1900.389, 2782.328, 3372.083, 4161.218]
 
TE Mistunings (cents)
<-1.330, -1.566, -3.986, 3.257, 9.900]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.032524
Adjusted Error 6.036977 cents
TE Error 1.745078 cents/octave

Cataleptic (19p & 34d)

Equal Temperament Mappings
23571113
[<193044536670]
<34547996118126]>
 
Reduced Mapping
23571113
[<101-340]
<06522-214]>
 
TE Generator Tunings (cents)
<1198.8549, 316.8149]
 
TE Step Tunings (cents)
<17.98682, 25.20898]
 
TE Tuning Map (cents)
<1198.855, 1900.890, 2782.930, 3373.364, 4161.790, 4435.409]
 
TE Mistunings (cents)
<-1.145, -1.065, -3.384, 4.538, 10.472, -5.119]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.800572
Adjusted Error 6.333493 cents
TE Error 1.711551 cents/octave

Catalytic (72 & 19e)

Equal Temperament Mappings
235711
[<72114167202249]
<1930445365]>
 
Reduced Mapping
235711
[<101-3-10]
<0652251]>
 
TE Generator Tunings (cents)
<1200.8112, 316.8671]
 
TE Step Tunings (cents)
<16.41990, 0.97781]
 
TE Tuning Map (cents)
<1200.811, 1901.203, 2785.147, 3368.644, 4152.113]
 
TE Mistunings (cents)
<0.811, -0.752, -1.167, -0.182, 0.795]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.193826
Adjusted Error 1.689610 cents
TE Error 0.488407 cents/octave

Catalytic (72 & 19e)

Equal Temperament Mappings
23571113
[<72114167202249266]
<193044536570]>
 
Reduced Mapping
23571113
[<101-3-100]
<065225114]>
 
TE Generator Tunings (cents)
<1201.0826, 316.9251]
 
TE Step Tunings (cents)
<16.16329, 1.96453]
 
TE Tuning Map (cents)
<1201.083, 1901.550, 2785.708, 3369.104, 4152.353, 4436.951]
 
TE Mistunings (cents)
<1.083, -0.405, -0.606, 0.278, 1.035, -3.577]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.793839
Adjusted Error 2.310289 cents
TE Error 0.624328 cents/octave

Catbird (12f & 8d & 19p)

Equal Temperament Mappings
23571113
[<121928344245]
<81319232830]
<193044536670]>
 
Reduced Mapping
23571113
[<100-120]
<010-2-2-5]
<001325]>
 
TE Generator Tunings (cents)
<1196.8794, 1901.7723, 2788.7526]
 
TE Step Tunings (cents)
<11.55860, 30.81909, 42.71703]
 
TE Tuning Map (cents)
<1196.879, 1901.772, 2788.753, 3365.834, 4167.719, 4434.901]
 
TE Mistunings (cents)
<-3.121, -0.183, 2.439, -2.992, 16.401, -5.626]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.119813
Adjusted Error 9.161880 cents
TE Error 2.475889 cents/octave

Catcall (12 & 24p)

Equal Temperament Mappings
235711
[<1219283442]
<2438566783]>
 
Reduced Mapping
235711
[<1219283442]
<000-1-1]>
 
TE Generator Tunings (cents)
<99.8548, 32.7285]
 
TE Step Tunings (cents)
<34.39790, 32.72846]
 
TE Tuning Map (cents)
<1198.258, 1897.242, 2795.935, 3362.335, 4161.174]
 
TE Mistunings (cents)
<-1.742, -4.713, 9.621, -6.491, 9.856]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.916514
Adjusted Error 10.087167 cents
TE Error 2.915845 cents/octave

Catcall (12f & 24p)

Equal Temperament Mappings
23571113
[<121928344245]
<243856678389]>
 
Reduced Mapping
23571113
[<121928344245]
<000-1-1-1]>
 
TE Generator Tunings (cents)
<99.8353, 37.1711]
 
TE Step Tunings (cents)
<25.49321, 37.17106]
 
TE Tuning Map (cents)
<1198.024, 1896.871, 2795.389, 3357.230, 4155.912, 4455.418]
 
TE Mistunings (cents)
<-1.976, -5.084, 9.075, -11.596, 4.594, 14.891]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.860646
Adjusted Error 12.131649 cents
TE Error 3.278434 cents/octave

Catler (12 & 24p)

Equal Temperament Mappings
2357
[<12192834]
<24385667]>
 
Reduced Mapping
2357
[<12192834]
<000-1]>
 
TE Generator Tunings (cents)
<99.8700, 26.7551]
 
TE Step Tunings (cents)
<46.35988, 26.75508]
 
TE Tuning Map (cents)
<1198.440, 1897.531, 2796.361, 3368.826]
 
TE Mistunings (cents)
<-1.560, -4.424, 10.047, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.853309
Adjusted Error 7.552312 cents
TE Error 2.690188 cents/octave

Cavalier (4e & 26)

Equal Temperament Mappings
235711
[<4691113]
<2641607390]>
 
Reduced Mapping
235711
[<21341]
<043311]>
 
TE Generator Tunings (cents)
<600.9715, 323.9503]
 
TE Step Tunings (cents)
<-4.55306, 46.92905]
 
TE Tuning Map (cents)
<1201.943, 1896.773, 2774.765, 3375.737, 4164.425]
 
TE Mistunings (cents)
<1.943, -5.182, -11.548, 6.911, 13.107]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.238691
Adjusted Error 11.945536 cents
TE Error 3.453034 cents/octave

Cavalier (4ef & 26)

Equal Temperament Mappings
23571113
[<469111314]
<264160739096]>
 
Reduced Mapping
23571113
[<213412]
<04331110]>
 
TE Generator Tunings (cents)
<600.9786, 323.9232]
 
TE Step Tunings (cents)
<-4.15055, 46.86767]
 
TE Tuning Map (cents)
<1201.957, 1896.671, 2774.705, 3375.684, 4164.133, 4441.189]
 
TE Mistunings (cents)
<1.957, -5.284, -11.608, 6.858, 12.815, 0.661]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.198572
Adjusted Error 11.668770 cents
TE Error 3.153347 cents/octave

Ceratitid (22 & 1ce)

Equal Temperament Mappings
235711
[<2235516276]
<12334]>
 
Reduced Mapping
235711
[<12334]
<0-9-15-4-12]>
 
TE Generator Tunings (cents)
<1198.3195, 54.3002]
 
TE Step Tunings (cents)
<54.30018, 3.71556]
 
TE Tuning Map (cents)
<1198.320, 1907.937, 2780.456, 3377.758, 4141.676]
 
TE Mistunings (cents)
<-1.680, 5.982, -5.858, 8.932, -9.642]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.453775
Adjusted Error 9.945670 cents
TE Error 2.874943 cents/octave

Ceratitid (22p & 1ce)

Equal Temperament Mappings
23571113
[<223551627681]
<123344]>
 
Reduced Mapping
23571113
[<123344]
<0-9-15-4-12-7]>
 
TE Generator Tunings (cents)
<1200.4566, 54.6862]
 
TE Step Tunings (cents)
<54.68618, -2.63937]
 
TE Tuning Map (cents)
<1200.457, 1908.738, 2781.077, 3382.625, 4145.592, 4419.023]
 
TE Mistunings (cents)
<0.457, 6.783, -5.237, 13.799, -5.726, -21.504]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.306086
Adjusted Error 13.868780 cents
TE Error 3.747874 cents/octave

Cerberus (72 & 58 & 22p)

Equal Temperament Mappings
23571113
[<72114167202249266]
<5892135163201215]
<223551627681]>
 
Reduced Mapping
23571113
[<210231]
<0305-1-4]
<001012]>
 
TE Generator Tunings (cents)
<599.9568, 433.8374, 2787.0177]
 
TE Step Tunings (cents)
<9.56848, 8.30526, 1.33081]
 
TE Tuning Map (cents)
<1199.914, 1901.469, 2787.018, 3369.101, 4153.051, 4438.642]
 
TE Mistunings (cents)
<-0.086, -0.486, 0.704, 0.275, 1.733, -1.885]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.295378
Adjusted Error 1.275955 cents
TE Error 0.344812 cents/octave

Chagall (83 & 17)

Equal Temperament Mappings
2791113
[<83233263287307]
<1748545963]>
 
Reduced Mapping
2791113
[<1-8-2-5-1]
<023111810]>
 
TE Generator Tunings (cents)
<1200.3135, 564.0052]
 
TE Step Tunings (cents)
<14.41959, 0.20514]
 
TE Tuning Map (cents)
<1200.313, 3369.612, 3803.430, 4150.526, 4439.738]
 
TE Mistunings (cents)
<0.313, 0.786, -0.480, -0.792, -0.789]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.717901
Adjusted Error 0.902471 cents
TE Error 0.243882 cents/octave

Charisma (3de & 19p)

Equal Temperament Mappings
235711
[<357911]
<1930445366]>
 
Reduced Mapping
235711
[<102-10]
<0511211]>
 
TE Generator Tunings (cents)
<1200.5382, 379.8120]
 
TE Step Tunings (cents)
<13.19843, 61.10226]
 
TE Tuning Map (cents)
<1200.538, 1899.060, 2780.888, 3357.206, 4177.932]
 
TE Mistunings (cents)
<0.538, -2.895, -5.425, -11.620, 26.614]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.681175
Adjusted Error 14.297395 cents
TE Error 4.132874 cents/octave

Charisma (19p & 3def)

Equal Temperament Mappings
23571113
[<193044536670]
<35791112]>
 
Reduced Mapping
23571113
[<102-10-2]
<051121118]>
 
TE Generator Tunings (cents)
<1200.3673, 379.9070]
 
TE Step Tunings (cents)
<60.64621, 16.02981]
 
TE Tuning Map (cents)
<1200.367, 1899.535, 2780.642, 3358.517, 4178.978, 4437.592]
 
TE Mistunings (cents)
<0.367, -2.420, -5.672, -10.309, 27.660, -2.936]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.826303
Adjusted Error 14.048084 cents
TE Error 3.796328 cents/octave

Chartreuse (36p & 49fg)

Equal Temperament Mappings
371317
[<57101133147]
<78138182201]>
 
Reduced Mapping
371317
[<3779]
<0-40-3]>
 
TE Generator Tunings (cents)
<634.1772, 267.5916]
 
TE Step Tunings (cents)
<18.56726, 10.82305]
 
TE Tuning Map (cents)
<1902.532, 3368.874, 4439.240, 4904.820]
 
TE Mistunings (cents)
<0.577, 0.048, -1.287, -0.136]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.120944
Adjusted Error 1.031524 cents
TE Error 0.252363 cents/octave

Chartreuse (13p & 36p)

Equal Temperament Mappings
313/917/97/3
[<2171216]
<57193344]>
 
Reduced Mapping
313/917/97/3
[<3134]
<00-3-4]>
 
TE Generator Tunings (cents)
<635.2959, 268.4296]
 
TE Step Tunings (cents)
<17.79473, 26.88067]
 
TE Tuning Map (cents)
<1905.888, 635.296, 1100.599, 1467.465]
 
TE Mistunings (cents)
<3.933, -1.322, -0.446, 0.594]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 3.089212
Adjusted Error 2.839387 cents
TE Error 1.791454 cents/octave

Chromat (99 & 60)

Equal Temperament Mappings
2357
[<99157230278]
<6095139168]>
 
Reduced Mapping
2357
[<3456]
<051316]>
 
TE Generator Tunings (cents)
<399.9549, 60.5216]
 
TE Step Tunings (cents)
<10.56715, 2.56196]
 
TE Tuning Map (cents)
<1199.865, 1902.428, 2786.555, 3368.075]
 
TE Mistunings (cents)
<-0.135, 0.473, 0.242, -0.751]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.965688
Adjusted Error 0.611181 cents
TE Error 0.217707 cents/octave

Clio (12 & 31 & 7p)

Equal Temperament Mappings
235711
[<1219283442]
<31497287107]
<711162024]>
 
Reduced Mapping
235711
[<10-40-12]
<01408]
<00011]>
 
TE Generator Tunings (cents)
<1200.6459, 1898.2713, 3370.4426]
 
TE Step Tunings (cents)
<7.01524, 36.88988, -3.87476]
 
TE Tuning Map (cents)
<1200.646, 1898.271, 2790.502, 3370.443, 4148.863]
 
TE Mistunings (cents)
<0.646, -3.684, 4.188, 1.617, -2.455]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.148233
Adjusted Error 4.869695 cents
TE Error 1.407658 cents/octave

Clyde (19 & 68)

Equal Temperament Mappings
2357
[<19304453]
<68108158191]>
 
Reduced Mapping
2357
[<16612]
<0-12-10-25]>
 
TE Generator Tunings (cents)
<1199.8387, 441.2754]
 
TE Step Tunings (cents)
<10.76218, 14.63761]
 
TE Tuning Map (cents)
<1199.839, 1903.727, 2786.278, 3366.178]
 
TE Mistunings (cents)
<-0.161, 1.772, -0.036, -2.647]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.435155
Adjusted Error 2.065576 cents
TE Error 0.735773 cents/octave

Clyde (87 & 19p)

Equal Temperament Mappings
235711
[<87138202244301]
<1930445366]>
 
Reduced Mapping
235711
[<16612-5]
<0-12-10-2523]>
 
TE Generator Tunings (cents)
<1199.9638, 441.3417]
 
TE Step Tunings (cents)
<14.25507, -2.11722]
 
TE Tuning Map (cents)
<1199.964, 1903.683, 2786.366, 3366.024, 4151.039]
 
TE Mistunings (cents)
<-0.036, 1.728, 0.053, -2.802, -0.279]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.646723
Adjusted Error 2.290989 cents
TE Error 0.662244 cents/octave

Clyde (87 & 19p)

Equal Temperament Mappings
23571113
[<87138202244301322]
<193044536670]>
 
Reduced Mapping
23571113
[<16612-514]
<0-12-10-2523-28]>
 
TE Generator Tunings (cents)
<1199.9311, 441.3380]
 
TE Step Tunings (cents)
<14.09542, -1.38794]
 
TE Tuning Map (cents)
<1199.931, 1903.530, 2786.207, 3365.723, 4151.119, 4441.571]
 
TE Mistunings (cents)
<-0.069, 1.575, -0.107, -3.103, -0.199, 1.043]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.449147
Adjusted Error 2.290816 cents
TE Error 0.619066 cents/octave

Coblack (15 & 50)

Equal Temperament Mappings
2357
[<15243542]
<5079116140]>
 
Reduced Mapping
2357
[<571114]
<0320]>
 
TE Generator Tunings (cents)
<240.2510, 73.1208]
 
TE Step Tunings (cents)
<10.45481, 20.88866]
 
TE Tuning Map (cents)
<1201.255, 1901.120, 2789.003, 3363.514]
 
TE Mistunings (cents)
<1.255, -0.835, 2.689, -5.311]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.891640
Adjusted Error 3.653398 cents
TE Error 1.301366 cents/octave

Coblack (15 & 50)

Equal Temperament Mappings
235711
[<1524354252]
<5079116140173]>
 
Reduced Mapping
235711
[<57111417]
<03201]>
 
TE Generator Tunings (cents)
<240.1539, 73.3110]
 
TE Step Tunings (cents)
<12.64838, 20.22088]
 
TE Tuning Map (cents)
<1200.770, 1901.011, 2788.315, 3362.155, 4155.928]
 
TE Mistunings (cents)
<0.770, -0.944, 2.002, -6.671, 4.610]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.572559
Adjusted Error 4.670264 cents
TE Error 1.350009 cents/octave

Coditone (53 & 50)

Equal Temperament Mappings
2357
[<5384123149]
<5079116140]>
 
Reduced Mapping
2357
[<16313]
<0-13-2-30]>
 
TE Generator Tunings (cents)
<1200.4422, 407.8399]
 
TE Step Tunings (cents)
<15.52114, 7.55643]
 
TE Tuning Map (cents)
<1200.442, 1900.734, 2785.647, 3370.551]
 
TE Mistunings (cents)
<0.442, -1.221, -0.667, 1.725]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.599911
Adjusted Error 1.568654 cents
TE Error 0.558766 cents/octave

Coditone (53 & 103)

Equal Temperament Mappings
235711
[<5384123149183]
<103163239289356]>
 
Reduced Mapping
235711
[<16313-3]
<0-13-2-3019]>
 
TE Generator Tunings (cents)
<1200.8030, 408.0143]
 
TE Step Tunings (cents)
<2.63356, 10.30315]
 
TE Tuning Map (cents)
<1200.803, 1900.632, 2786.381, 3370.011, 4149.863]
 
TE Mistunings (cents)
<0.803, -1.323, 0.067, 1.185, -1.455]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.856475
Adjusted Error 2.015482 cents
TE Error 0.582605 cents/octave

Coditone (53 & 103)

Equal Temperament Mappings
23571113
[<5384123149183196]
<103163239289356381]>
 
Reduced Mapping
23571113
[<16313-32]
<0-13-2-30195]>
 
TE Generator Tunings (cents)
<1200.7386, 407.9866]
 
TE Step Tunings (cents)
<3.23471, 9.99319]
 
TE Tuning Map (cents)
<1200.739, 1900.606, 2786.243, 3370.005, 4149.529, 4441.410]
 
TE Mistunings (cents)
<0.739, -1.349, -0.071, 1.179, -1.789, 0.883]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.570914
Adjusted Error 2.010564 cents
TE Error 0.543331 cents/octave

Coendou (7p & 29)

Equal Temperament Mappings
235711
[<711162024]
<29466781100]>
 
Reduced Mapping
235711
[<12314]
<0-3-513-4]>
 
TE Generator Tunings (cents)
<1203.0557, 166.4034]
 
TE Step Tunings (cents)
<13.47691, 38.23163]
 
TE Tuning Map (cents)
<1203.056, 1906.901, 2777.150, 3366.300, 4146.609]
 
TE Mistunings (cents)
<3.056, 4.946, -9.164, -2.526, -4.709]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.481027
Adjusted Error 9.450477 cents
TE Error 2.731801 cents/octave

Coendou (7p & 29)

Equal Temperament Mappings
23571113
[<71116202426]
<29466781100107]>
 
Reduced Mapping
23571113
[<123143]
<0-3-513-45]>
 
TE Generator Tunings (cents)
<1203.0269, 166.3928]
 
TE Step Tunings (cents)
<13.28455, 38.27707]
 
TE Tuning Map (cents)
<1203.027, 1906.875, 2777.117, 3366.134, 4146.536, 4441.045]
 
TE Mistunings (cents)
<3.027, 4.920, -9.197, -2.692, -4.782, 0.517]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.329514
Adjusted Error 9.231154 cents
TE Error 2.494610 cents/octave

Coleto (27e & 4p)

Equal Temperament Mappings
235711
[<2743637694]
<4691114]>
 
Reduced Mapping
235711
[<1-1014]
<01097-2]>
 
TE Generator Tunings (cents)
<1196.1298, 309.8505]
 
TE Step Tunings (cents)
<43.27217, 6.94531]
 
TE Tuning Map (cents)
<1196.130, 1902.375, 2788.655, 3365.083, 4164.818]
 
TE Mistunings (cents)
<-3.870, 0.420, 2.341, -3.743, 13.500]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.541856
Adjusted Error 8.897054 cents
TE Error 2.571825 cents/octave

Comic (22 & 2cde)

Equal Temperament Mappings
235711
[<2235516276]
<23456]>
 
Reduced Mapping
235711
[<23456]
<027710]>
 
TE Generator Tunings (cents)
<598.8325, 55.0762]
 
TE Step Tunings (cents)
<55.07625, -7.00616]
 
TE Tuning Map (cents)
<1197.665, 1906.650, 2780.864, 3379.696, 4143.758]
 
TE Mistunings (cents)
<-2.335, 4.695, -5.450, 10.871, -7.560]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.300232
Adjusted Error 9.724080 cents
TE Error 2.810889 cents/octave

Comic (22p & 2cde)

Equal Temperament Mappings
23571113
[<223551627681]
<234567]>
 
Reduced Mapping
23571113
[<234567]
<0277104]>
 
TE Generator Tunings (cents)
<600.1383, 54.4472]
 
TE Step Tunings (cents)
<54.44724, 1.21864]
 
TE Tuning Map (cents)
<1200.277, 1909.309, 2781.684, 3381.822, 4145.302, 4418.757]
 
TE Mistunings (cents)
<0.277, 7.354, -4.630, 12.996, -6.016, -21.771]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.189133
Adjusted Error 13.899279 cents
TE Error 3.756116 cents/octave

Commatic (58 & 118)

Equal Temperament Mappings
235711
[<5892135163201]
<118187274331408]>
 
Reduced Mapping
235711
[<23456]
<05191827]>
 
TE Generator Tunings (cents)
<600.0403, 20.3913]
 
TE Step Tunings (cents)
<3.00608, 8.69261]
 
TE Tuning Map (cents)
<1200.081, 1902.077, 2787.596, 3367.245, 4150.807]
 
TE Mistunings (cents)
<0.081, 0.122, 1.282, -1.581, -0.511]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.217884
Adjusted Error 1.253414 cents
TE Error 0.362318 cents/octave

Compton (12 & 72)

Equal Temperament Mappings
235
[<121928]
<72114167]>
 
Reduced Mapping
235
[<121928]
<00-1]>
 
TE Generator Tunings (cents)
<100.0514, 15.1253]
 
TE Step Tunings (cents)
<9.29940, 15.12533]
 
TE Tuning Map (cents)
<1200.617, 1900.976, 2786.314]
 
TE Mistunings (cents)
<0.617, -0.979, 0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.435023
Adjusted Error 1.169834 cents
TE Error 0.503820 cents/octave

Compton (72 & 12)

Equal Temperament Mappings
235711
[<72114167202249]
<1219283442]>
 
Reduced Mapping
235711
[<1219283442]
<00-1-2-3]>
 
TE Generator Tunings (cents)
<100.0634, 16.7446]
 
TE Step Tunings (cents)
<16.74460, -0.40420]
 
TE Tuning Map (cents)
<1200.761, 1901.205, 2785.031, 3368.666, 4152.429]
 
TE Mistunings (cents)
<0.761, -0.750, -1.283, -0.160, 1.111]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.279767
Adjusted Error 1.705134 cents
TE Error 0.492894 cents/octave

Compton (72 & 12f)

Equal Temperament Mappings
23571113
[<72114167202249266]
<121928344245]>
 
Reduced Mapping
23571113
[<121928344245]
<00-1-2-3-4]>
 
TE Generator Tunings (cents)
<100.0509, 16.0454]
 
TE Step Tunings (cents)
<16.04540, 3.77852]
 
TE Tuning Map (cents)
<1200.611, 1900.967, 2785.380, 3369.640, 4154.002, 4438.110]
 
TE Mistunings (cents)
<0.611, -0.988, -0.934, 0.814, 2.684, -2.418]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.947330
Adjusted Error 2.155824 cents
TE Error 0.582586 cents/octave

Comptone (72 & 60e)

Equal Temperament Mappings
23571113
[<72114167202249266]
<6095139168207222]>
 
Reduced Mapping
23571113
[<121928344244]
<00-1-2-32]>
 
TE Generator Tunings (cents)
<100.0927, 17.4045]
 
TE Step Tunings (cents)
<13.07009, 4.33444]
 
TE Tuning Map (cents)
<1201.113, 1901.762, 2785.192, 3368.344, 4151.681, 4438.889]
 
TE Mistunings (cents)
<1.113, -0.193, -1.122, -0.482, 0.363, -1.638]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.743623
Adjusted Error 1.983030 cents
TE Error 0.535890 cents/octave

Cotritone (72 & 37)

Equal Temperament Mappings
2357
[<72114167202]
<375986104]>
 
Reduced Mapping
2357
[<1-13-4-4]
<0301314]>
 
TE Generator Tunings (cents)
<1200.4418, 583.5996]
 
TE Step Tunings (cents)
<14.76761, 3.70740]
 
TE Tuning Map (cents)
<1200.442, 1902.244, 2785.027, 3368.627]
 
TE Mistunings (cents)
<0.442, 0.289, -1.286, -0.199]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.010225
Adjusted Error 1.031857 cents
TE Error 0.367555 cents/octave

Cotritone (72 & 37)

Equal Temperament Mappings
235711
[<72114167202249]
<375986104128]>
 
Reduced Mapping
235711
[<1-13-4-42]
<03013143]>
 
TE Generator Tunings (cents)
<1200.4063, 583.5847]
 
TE Step Tunings (cents)
<14.67913, 3.87862]
 
TE Tuning Map (cents)
<1200.406, 1902.259, 2784.976, 3368.561, 4151.567]
 
TE Mistunings (cents)
<0.406, 0.304, -1.338, -0.265, 0.249]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.789379
Adjusted Error 1.145234 cents
TE Error 0.331047 cents/octave

Cotritone (72 & 37)

Equal Temperament Mappings
23571113
[<72114167202249266]
<375986104128137]>
 
Reduced Mapping
23571113
[<1-13-4-42-7]
<0301314322]>
 
TE Generator Tunings (cents)
<1200.6126, 583.6844]
 
TE Step Tunings (cents)
<14.70198, 3.83973]
 
TE Tuning Map (cents)
<1200.613, 1902.570, 2785.447, 3369.132, 4152.278, 4436.770]
 
TE Mistunings (cents)
<0.613, 0.615, -0.866, 0.306, 0.961, -3.758]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.196953
Adjusted Error 2.018463 cents
TE Error 0.545466 cents/octave

Countdown (65 & 15)

Equal Temperament Mappings
23511
[<65103151225]
<15243552]>
 
Reduced Mapping
23511
[<571117]
<0321]>
 
TE Generator Tunings (cents)
<239.9046, 74.0952]
 
TE Step Tunings (cents)
<17.61901, 3.61912]
 
TE Tuning Map (cents)
<1199.523, 1901.617, 2787.140, 4152.473]
 
TE Mistunings (cents)
<-0.477, -0.338, 0.827, 1.155]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.618120
Adjusted Error 1.236829 cents
TE Error 0.357524 cents/octave

Counteracro (270 & 19e)

Equal Temperament Mappings
235711
[<270428627758934]
<1930445365]>
 
Reduced Mapping
235711
[<110112755]
<0-32-33-92-196]>
 
TE Generator Tunings (cents)
<1199.8877, 315.5238]
 
TE Step Tunings (cents)
<4.48670, -0.60644]
 
TE Tuning Map (cents)
<1199.888, 1902.116, 2786.480, 3368.780, 4151.163]
 
TE Mistunings (cents)
<-0.112, 0.161, 0.166, -0.046, -0.155]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 19.116050
Adjusted Error 0.269492 cents
TE Error 0.077901 cents/octave

Counteracro (270 & 251e)

Equal Temperament Mappings
23571113
[<270428627758934999]
<251398583705869929]>
 
Reduced Mapping
23571113
[<11011275525]
<0-32-33-92-196-81]>
 
TE Generator Tunings (cents)
<1199.9285, 315.5348]
 
TE Step Tunings (cents)
<3.94779, 0.53396]
 
TE Tuning Map (cents)
<1199.929, 1902.172, 2786.566, 3368.870, 4151.251, 4439.896]
 
TE Mistunings (cents)
<-0.071, 0.217, 0.252, 0.044, -0.066, -0.632]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 17.482799
Adjusted Error 0.386545 cents
TE Error 0.104459 cents/octave

Countercata (53 & 140)

Equal Temperament Mappings
2357
[<5384123149]
<140222325393]>
 
Reduced Mapping
2357
[<10111]
<065-31]>
 
TE Generator Tunings (cents)
<1199.9175, 317.0996]
 
TE Step Tunings (cents)
<3.00131, 7.43463]
 
TE Tuning Map (cents)
<1199.917, 1902.598, 2785.416, 3369.004]
 
TE Mistunings (cents)
<-0.083, 0.643, -0.898, 0.178]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.796764
Adjusted Error 0.800088 cents
TE Error 0.284997 cents/octave

Countercata (87 & 53)

Equal Temperament Mappings
235711
[<87138202244301]
<5384123149183]>
 
Reduced Mapping
235711
[<10111-5]
<065-3132]>
 
TE Generator Tunings (cents)
<1200.0987, 317.1881]
 
TE Step Tunings (cents)
<9.58670, 6.90671]
 
TE Tuning Map (cents)
<1200.099, 1903.129, 2786.039, 3368.255, 4149.525]
 
TE Mistunings (cents)
<0.099, 1.174, -0.275, -0.571, -1.793]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.678189
Adjusted Error 1.452807 cents
TE Error 0.419955 cents/octave

Countercata (87 & 53)

Equal Temperament Mappings
23571113
[<87138202244301322]
<5384123149183196]>
 
Reduced Mapping
23571113
[<10111-50]
<065-313214]>
 
TE Generator Tunings (cents)
<1200.0943, 317.1866]
 
TE Step Tunings (cents)
<9.57052, 6.93320]
 
TE Tuning Map (cents)
<1200.094, 1903.120, 2786.027, 3368.252, 4149.500, 4440.613]
 
TE Mistunings (cents)
<0.094, 1.165, -0.286, -0.574, -1.818, 0.085]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.194935
Adjusted Error 1.419147 cents
TE Error 0.383508 cents/octave

Counterhanson (224 & 205)

Equal Temperament Mappings
235
[<224355520]
<205325476]>
 
Reduced Mapping
235
[<1-5-4]
<02524]>
 
TE Generator Tunings (cents)
<1200.0419, 316.0916]
 
TE Step Tunings (cents)
<3.47823, 2.05326]
 
TE Tuning Map (cents)
<1200.042, 1902.081, 2786.031]
 
TE Mistunings (cents)
<0.042, 0.126, -0.282]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.541892
Adjusted Error 0.202736 cents
TE Error 0.087314 cents/octave

Countermeantone (19 & 183)

Equal Temperament Mappings
235
[<193044]
<183290425]>
 
Reduced Mapping
235
[<11012]
<0-20-23]>
 
TE Generator Tunings (cents)
<1199.9479, 504.8912]
 
TE Step Tunings (cents)
<-0.88819, 6.64931]
 
TE Tuning Map (cents)
<1199.948, 1901.654, 2786.876]
 
TE Mistunings (cents)
<-0.052, -0.301, 0.562]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.423535
Adjusted Error 0.418450 cents
TE Error 0.180216 cents/octave

Counterschismic (730 & 53)

Equal Temperament Mappings
235
[<73011571695]
<5384123]>
 
Reduced Mapping
235
[<1221]
<0-1-45]>
 
TE Generator Tunings (cents)
<1200.0116, 498.0873]
 
TE Step Tunings (cents)
<1.62765, 0.22321]
 
TE Tuning Map (cents)
<1200.012, 1901.936, 2786.315]
 
TE Mistunings (cents)
<0.012, -0.019, 0.001]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.990921
Adjusted Error 0.022436 cents
TE Error 0.009663 cents/octave

Crepuscular (8d & 26)

Equal Temperament Mappings
235711
[<813192328]
<2641607390]>
 
Reduced Mapping
235711
[<22346]
<05774]>
 
TE Generator Tunings (cents)
<599.1691, 140.3920]
 
TE Step Tunings (cents)
<27.58869, 37.60110]
 
TE Tuning Map (cents)
<1198.338, 1900.298, 2780.251, 3379.420, 4156.582]
 
TE Mistunings (cents)
<-1.662, -1.657, -6.063, 10.594, 5.264]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.421891
Adjusted Error 8.073023 cents
TE Error 2.333627 cents/octave

Crepuscular (8d & 26)

Equal Temperament Mappings
23571113
[<81319232830]
<264160739096]>
 
Reduced Mapping
23571113
[<223466]
<057746]>
 
TE Generator Tunings (cents)
<599.2713, 140.3832]
 
TE Step Tunings (cents)
<27.16732, 37.73862]
 
TE Tuning Map (cents)
<1198.543, 1900.459, 2780.496, 3379.768, 4157.161, 4437.927]
 
TE Mistunings (cents)
<-1.457, -1.496, -5.817, 10.942, 5.843, -2.601]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.225216
Adjusted Error 7.969480 cents
TE Error 2.153658 cents/octave

Cuboctahedra (31 & 14ce)

Equal Temperament Mappings
235711
[<31497287107]
<1422323949]>
 
Reduced Mapping
235711
[<1386-4]
<0-4-16-921]>
 
TE Generator Tunings (cents)
<1201.4501, 426.5073]
 
TE Step Tunings (cents)
<36.14860, 5.77453]
 
TE Tuning Map (cents)
<1201.450, 1898.321, 2787.484, 3370.135, 4150.853]
 
TE Mistunings (cents)
<1.450, -3.634, 1.171, 1.309, -0.465]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.293619
Adjusted Error 4.334363 cents
TE Error 1.252912 cents/octave

Cynder (31 & 5)

Equal Temperament Mappings
2357
[<31497287]
<581214]>
 
Reduced Mapping
2357
[<1103]
<0312-1]>
 
TE Generator Tunings (cents)
<1200.9371, 232.3746]
 
TE Step Tunings (cents)
<39.06418, -2.01049]
 
TE Tuning Map (cents)
<1200.937, 1898.061, 2788.495, 3370.437]
 
TE Mistunings (cents)
<0.937, -3.894, 2.181, 1.611]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.188080
Adjusted Error 4.001451 cents
TE Error 1.425346 cents/octave

Cynder (5e & 26)

Equal Temperament Mappings
235711
[<58121418]
<2641607390]>
 
Reduced Mapping
235711
[<11030]
<0312-118]>
 
TE Generator Tunings (cents)
<1201.2016, 231.5487]
 
TE Step Tunings (cents)
<14.25923, 43.45790]
 
TE Tuning Map (cents)
<1201.202, 1895.848, 2778.585, 3372.056, 4167.877]
 
TE Mistunings (cents)
<1.202, -6.107, -7.729, 3.230, 16.559]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.411381
Adjusted Error 11.114145 cents
TE Error 3.212708 cents/octave

Cynder (5e & 26)

Equal Temperament Mappings
23571113
[<5812141819]
<264160739096]>
 
Reduced Mapping
23571113
[<110301]
<0312-11814]>
 
TE Generator Tunings (cents)
<1201.1585, 231.5163]
 
TE Step Tunings (cents)
<13.63084, 43.57709]
 
TE Tuning Map (cents)
<1201.159, 1895.707, 2778.195, 3371.959, 4167.293, 4442.387]
 
TE Mistunings (cents)
<1.159, -6.248, -8.118, 3.133, 15.975, 1.859]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.262379
Adjusted Error 10.886186 cents
TE Error 2.941863 cents/octave

Cypress (31 & 20cde)

Equal Temperament Mappings
235711
[<31497287107]
<2032475770]>
 
Reduced Mapping
235711
[<17101517]
<0-12-17-27-30]>
 
TE Generator Tunings (cents)
<1200.1196, 541.8260]
 
TE Step Tunings (cents)
<35.44409, 5.06764]
 
TE Tuning Map (cents)
<1200.120, 1898.925, 2790.154, 3372.491, 4147.253]
 
TE Mistunings (cents)
<0.120, -3.030, 3.840, 3.665, -4.065]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.417715
Adjusted Error 4.765950 cents
TE Error 1.377668 cents/octave

Cypress (31 & 20cdef)

Equal Temperament Mappings
23571113
[<31497287107115]
<203247577075]>
 
Reduced Mapping
23571113
[<1710151715]
<0-12-17-27-30-25]>
 
TE Generator Tunings (cents)
<1199.4530, 541.5309]
 
TE Step Tunings (cents)
<35.54004, 4.88559]
 
TE Tuning Map (cents)
<1199.453, 1897.801, 2788.506, 3370.462, 4144.776, 4453.524]
 
TE Mistunings (cents)
<-0.547, -4.154, 2.192, 1.636, -6.542, 12.996]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.121970
Adjusted Error 7.448625 cents
TE Error 2.012903 cents/octave

Dakota (53 & 24)

Equal Temperament Mappings
2351319
[<5384123196225]
<24385689102]>
 
Reduced Mapping
2351319
[<12-113]
<0-216136]>
 
TE Generator Tunings (cents)
<1200.2613, 249.1909]
 
TE Step Tunings (cents)
<20.72632, 4.24026]
 
TE Tuning Map (cents)
<1200.261, 1902.141, 2786.792, 4439.742, 5095.929]
 
TE Mistunings (cents)
<0.261, 0.186, 0.479, -0.785, -1.584]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.867583
Adjusted Error 1.055341 cents
TE Error 0.248437 cents/octave

Dakota (53 & 24)

Equal Temperament Mappings
235131937
[<5384123196225276]
<24385689102125]>
 
Reduced Mapping
235131937
[<12-1135]
<0-2161361]>
 
TE Generator Tunings (cents)
<1200.2990, 249.1928]
 
TE Step Tunings (cents)
<20.86804, 3.92888]
 
TE Tuning Map (cents)
<1200.299, 1902.212, 2786.786, 4439.805, 5096.054, 6250.688]
 
TE Mistunings (cents)
<0.299, 0.257, 0.472, -0.723, -1.459, -0.656]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.713536
Adjusted Error 1.220018 cents
TE Error 0.234193 cents/octave

Dakota (53 & 77)

Equal Temperament Mappings
2351337
[<5384123196276]
<77122179285401]>
 
Reduced Mapping
2351337
[<12-115]
<0-216131]>
 
TE Generator Tunings (cents)
<1200.2237, 249.1807]
 
TE Step Tunings (cents)
<16.66551, 4.11625]
 
TE Tuning Map (cents)
<1200.224, 1902.086, 2786.667, 4439.573, 6250.299]
 
TE Mistunings (cents)
<0.224, 0.131, 0.354, -0.955, -1.045]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.966926
Adjusted Error 1.007191 cents
TE Error 0.193339 cents/octave

Darjeeling (15 & 4e)

Equal Temperament Mappings
235711
[<1524354252]
<4691113]>
 
Reduced Mapping
235711
[<10120]
<065313]>
 
TE Generator Tunings (cents)
<1201.7103, 318.1084]
 
TE Step Tunings (cents)
<70.72327, 35.21530]
 
TE Tuning Map (cents)
<1201.710, 1908.650, 2792.252, 3357.746, 4135.409]
 
TE Mistunings (cents)
<1.710, 6.695, 5.939, -11.080, -15.909]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.484613
Adjusted Error 12.380360 cents
TE Error 3.578727 cents/octave

Darjeeling (15 & 19e)

Equal Temperament Mappings
23571113
[<152435425256]
<193044536570]>
 
Reduced Mapping
23571113
[<101200]
<06531314]>
 
TE Generator Tunings (cents)
<1201.9930, 317.8250]
 
TE Step Tunings (cents)
<28.70966, 40.59726]
 
TE Tuning Map (cents)
<1201.993, 1906.950, 2791.118, 3357.461, 4131.725, 4449.550]
 
TE Mistunings (cents)
<1.993, 4.995, 4.804, -11.365, -19.593, 9.022]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.484504
Adjusted Error 12.871553 cents
TE Error 3.478385 cents/octave

Deca (270 & 190)

Equal Temperament Mappings
235711
[<270428627758934]
<190301441533657]>
 
Reduced Mapping
235711
[<1014212432]
<056117]>
 
TE Generator Tunings (cents)
<120.0004, 44.4185]
 
TE Step Tunings (cents)
<3.94768, 0.70595]
 
TE Tuning Map (cents)
<1200.004, 1902.099, 2786.520, 3368.614, 4150.943]
 
TE Mistunings (cents)
<0.004, 0.144, 0.206, -0.212, -0.375]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.258840
Adjusted Error 0.283382 cents
TE Error 0.081916 cents/octave

Deca (270 & 190)

Equal Temperament Mappings
23571113
[<270428627758934999]
<190301441533657703]>
 
Reduced Mapping
23571113
[<101421243237]
<0561170]>
 
TE Generator Tunings (cents)
<120.0067, 44.4006]
 
TE Step Tunings (cents)
<3.56471, 1.25050]
 
TE Tuning Map (cents)
<1200.067, 1902.096, 2786.544, 3368.567, 4151.018, 4440.247]
 
TE Mistunings (cents)
<0.067, 0.141, 0.230, -0.259, -0.300, -0.281]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 14.908712
Adjusted Error 0.317019 cents
TE Error 0.085671 cents/octave

Decal (130 & 190)

Equal Temperament Mappings
235711
[<130206302365450]
<190301441533657]>
 
Reduced Mapping
235711
[<1016242936]
<0-1-5-6-9]>
 
TE Generator Tunings (cents)
<120.0208, 18.7632]
 
TE Step Tunings (cents)
<3.56180, 3.87986]
 
TE Tuning Map (cents)
<1200.208, 1901.569, 2786.683, 3368.023, 4151.879]
 
TE Mistunings (cents)
<0.208, -0.386, 0.369, -0.802, 0.561]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.049777
Adjusted Error 0.751108 cents
TE Error 0.217119 cents/octave

Decal (130 & 190)

Equal Temperament Mappings
23571113
[<130206302365450481]
<190301441533657703]>
 
Reduced Mapping
23571113
[<101624293637]
<0-1-5-6-90]>
 
TE Generator Tunings (cents)
<120.0182, 18.7510]
 
TE Step Tunings (cents)
<3.78548, 3.72668]
 
TE Tuning Map (cents)
<1200.182, 1901.540, 2786.682, 3368.022, 4151.897, 4440.674]
 
TE Mistunings (cents)
<0.182, -0.415, 0.368, -0.804, 0.579, 0.146]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.751846
Adjusted Error 0.737430 cents
TE Error 0.199282 cents/octave

Decibel (4p & 10p)

Equal Temperament Mappings
235711
[<4691114]
<1016232835]>
 
Reduced Mapping
235711
[<22457]
<02110]>
 
TE Generator Tunings (cents)
<599.5822, 356.2589]
 
TE Step Tunings (cents)
<17.45174, 112.93573]
 
TE Tuning Map (cents)
<1199.164, 1911.682, 2754.588, 3354.170, 4197.075]
 
TE Mistunings (cents)
<-0.836, 9.727, -31.726, -14.656, 45.757]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.923713
Adjusted Error 31.979188 cents
TE Error 9.244058 cents/octave

Decimal (4 & 10)

Equal Temperament Mappings
2357
[<46911]
<10162328]>
 
Reduced Mapping
2357
[<2245]
<0211]>
 
TE Generator Tunings (cents)
<603.3490, 350.3879]
 
TE Step Tunings (cents)
<58.10758, 97.42676]
 
TE Tuning Map (cents)
<1206.698, 1907.474, 2763.784, 3367.133]
 
TE Mistunings (cents)
<6.698, 5.519, -22.530, -1.693]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.919674
Adjusted Error 17.277237 cents
TE Error 6.154276 cents/octave

Decimal (4e & 10p)

Equal Temperament Mappings
235711
[<4691113]
<1016232835]>
 
Reduced Mapping
235711
[<22454]
<02115]>
 
TE Generator Tunings (cents)
<603.6249, 348.6008]
 
TE Step Tunings (cents)
<67.87058, 93.57675]
 
TE Tuning Map (cents)
<1207.250, 1904.452, 2763.101, 3366.726, 4157.504]
 
TE Mistunings (cents)
<7.250, 2.497, -23.213, -2.100, 6.186]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.107518
Adjusted Error 19.492663 cents
TE Error 5.634643 cents/octave

Decimated (4p & 14c)

Equal Temperament Mappings
235711
[<4691114]
<1422323948]>
 
Reduced Mapping
235711
[<22458]
<0211-2]>
 
TE Generator Tunings (cents)
<604.6073, 347.5822]
 
TE Step Tunings (cents)
<-14.64658, 90.55721]
 
TE Tuning Map (cents)
<1209.215, 1904.379, 2766.011, 3370.619, 4141.694]
 
TE Mistunings (cents)
<9.215, 2.424, -20.302, 1.793, -9.624]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.192936
Adjusted Error 20.281104 cents
TE Error 5.862554 cents/octave

Decoid (270 & 130)

Equal Temperament Mappings
2357
[<270428627758]
<130206302365]>
 
Reduced Mapping
2357
[<10162328]
<0-231]>
 
TE Generator Tunings (cents)
<119.9913, 8.9006]
 
TE Step Tunings (cents)
<4.28317, 0.33428]
 
TE Tuning Map (cents)
<1199.913, 1902.060, 2786.502, 3368.657]
 
TE Mistunings (cents)
<-0.087, 0.105, 0.188, -0.169]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.153794
Adjusted Error 0.208667 cents
TE Error 0.074329 cents/octave

Decoid (270 & 130)

Equal Temperament Mappings
235711
[<270428627758934]
<130206302365450]>
 
Reduced Mapping
235711
[<1016232834]
<0-2318]>
 
TE Generator Tunings (cents)
<119.9921, 8.9294]
 
TE Step Tunings (cents)
<3.90929, 1.11088]
 
TE Tuning Map (cents)
<1199.921, 1902.015, 2786.607, 3368.709, 4151.167]
 
TE Mistunings (cents)
<-0.079, 0.060, 0.293, -0.117, -0.150]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 12.066818
Adjusted Error 0.255326 cents
TE Error 0.073806 cents/octave

Decoid (270 & 130)

Equal Temperament Mappings
23571113
[<270428627758934999]
<130206302365450481]>
 
Reduced Mapping
23571113
[<101623283437]
<0-23180]>
 
TE Generator Tunings (cents)
<119.9964, 8.9165]
 
TE Step Tunings (cents)
<4.08155, 0.75342]
 
TE Tuning Map (cents)
<1199.964, 1902.109, 2786.667, 3368.816, 4151.210, 4439.867]
 
TE Mistunings (cents)
<-0.036, 0.154, 0.353, -0.010, -0.108, -0.661]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 11.197247
Adjusted Error 0.390407 cents
TE Error 0.105503 cents/octave

Deecee (72 & 41 & 9)

Equal Temperament Mappings
23571113
[<72114167202249266]
<416595115142152]
<91421253133]>
 
Reduced Mapping
23571113
[<100-51227]
<0102-1-3]
<0012-3-8]>
 
TE Generator Tunings (cents)
<1200.7549, 1901.6515, 2784.5682]
 
TE Step Tunings (cents)
<13.73960, 5.18024, -0.09851]
 
TE Tuning Map (cents)
<1200.755, 1901.651, 2784.568, 3368.665, 4153.702, 4438.881]
 
TE Mistunings (cents)
<0.755, -0.304, -1.745, -0.161, 2.384, -1.647]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.255259
Adjusted Error 2.053601 cents
TE Error 0.554961 cents/octave

Deep Blue And Large Reddish (19 & 5c)

Equal Temperament Mappings
2357
[<19304453]
<581114]>
 
Reduced Mapping
2357
[<1203]
<0-211-1]>
 
TE Generator Tunings (cents)
<1204.0441, 253.2333]
 
TE Step Tunings (cents)
<62.12239, 4.74375]
 
TE Tuning Map (cents)
<1204.044, 1901.622, 2785.566, 3358.899]
 
TE Mistunings (cents)
<4.044, -0.333, -0.747, -9.927]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.322932
Adjusted Error 7.559837 cents
TE Error 2.692868 cents/octave

Deep Blue Plus Yellow (19 & 10 & 5)

Equal Temperament Mappings
2357
[<19304453]
<10162328]
<581214]>
 
Reduced Mapping
2357
[<1002]
<0201]
<0010]>
 
TE Generator Tunings (cents)
<1202.8536, 951.8736, 2786.3137]
 
TE Step Tunings (cents)
<52.04663, 17.26039, 8.27276]
 
TE Tuning Map (cents)
<1202.854, 1903.747, 2786.314, 3357.581]
 
TE Mistunings (cents)
<2.854, 1.792, -0.000, -11.245]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.085584
Adjusted Error 7.083548 cents
TE Error 2.523211 cents/octave

Deep Reddish (12 & 10 & 4)

Equal Temperament Mappings
2357
[<12192834]
<10162328]
<46911]>
 
Reduced Mapping
2357
[<2001]
<0100]
<0011]>
 
TE Generator Tunings (cents)
<599.6767, 1901.9550, 2779.3415]
 
TE Step Tunings (cents)
<58.66777, 44.25715, 13.19215]
 
TE Tuning Map (cents)
<1199.353, 1901.955, 2779.341, 3379.018]
 
TE Mistunings (cents)
<-0.647, 0.000, -6.972, 10.192]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.088983
Adjusted Error 6.675330 cents
TE Error 2.377800 cents/octave

Deep Reddish And Large Yellow (12 & 22ccd)

Equal Temperament Mappings
2357
[<12192834]
<22355061]>
 
Reduced Mapping
2357
[<2367]
<01-8-8]>
 
TE Generator Tunings (cents)
<599.7660, 102.4162]
 
TE Step Tunings (cents)
<72.95410, 14.73104]
 
TE Tuning Map (cents)
<1199.532, 1901.714, 2779.267, 3379.033]
 
TE Mistunings (cents)
<-0.468, -0.241, -7.047, 10.207]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.518300
Adjusted Error 6.683597 cents
TE Error 2.380745 cents/octave

Deep Reddish Minus White (6 & 10)

Equal Temperament Mappings
257
[<61417]
<102328]>
 
Reduced Mapping
257
[<256]
<0-1-1]>
 
TE Generator Tunings (cents)
<599.6767, 219.0420]
 
TE Step Tunings (cents)
<104.14339, 57.44931]
 
TE Tuning Map (cents)
<1199.353, 2779.341, 3379.018]
 
TE Mistunings (cents)
<-0.647, -6.972, 10.192]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.376091
Adjusted Error 7.708007 cents
TE Error 2.745647 cents/octave

Deep Yellow And Large Triple Blue (10 & 11c)

Equal Temperament Mappings
2357
[<10162328]
<11172531]>
 
Reduced Mapping
2357
[<1123]
<063-2]>
 
TE Generator Tunings (cents)
<1203.9026, 117.4927]
 
TE Step Tunings (cents)
<88.51664, 28.97601]
 
TE Tuning Map (cents)
<1203.903, 1908.858, 2760.283, 3376.722]
 
TE Mistunings (cents)
<3.903, 6.903, -26.031, 7.896]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.707868
Adjusted Error 18.182620 cents
TE Error 6.476780 cents/octave

Deflated (9 & 3p)

Equal Temperament Mappings
2357
[<9142125]
<3578]>
 
Reduced Mapping
2357
[<3578]
<0-101]>
 
TE Generator Tunings (cents)
<402.0601, 118.9804]
 
TE Step Tunings (cents)
<118.98037, 45.11901]
 
TE Tuning Map (cents)
<1206.180, 1891.320, 2814.421, 3335.461]
 
TE Mistunings (cents)
<6.180, -10.635, 28.107, -33.365]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.061595
Adjusted Error 27.036638 cents
TE Error 9.630645 cents/octave

Degrees (80 & 60e)

Equal Temperament Mappings
235711
[<80127186225277]
<6095139168207]>
 
Reduced Mapping
235711
[<2032475770]
<0-1-2-3-3]>
 
TE Generator Tunings (cents)
<59.9929, 16.7666]
 
TE Step Tunings (cents)
<9.69314, 7.07344]
 
TE Tuning Map (cents)
<1199.858, 1903.006, 2786.133, 3369.295, 4149.203]
 
TE Mistunings (cents)
<-0.142, 1.051, -0.181, 0.470, -2.115]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.396047
Adjusted Error 1.441182 cents
TE Error 0.416595 cents/octave

Degrees (140 & 80)

Equal Temperament Mappings
23571113
[<140222325393484518]
<80127186225277296]>
 
Reduced Mapping
23571113
[<203247577074]
<0-1-2-3-30]>
 
TE Generator Tunings (cents)
<59.9996, 16.9197]
 
TE Step Tunings (cents)
<7.67911, 1.56145]
 
TE Tuning Map (cents)
<1199.992, 1903.067, 2786.141, 3369.218, 4149.212, 4439.970]
 
TE Mistunings (cents)
<-0.008, 1.112, -0.172, 0.392, -2.106, -0.558]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.466997
Adjusted Error 1.441653 cents
TE Error 0.389590 cents/octave

Delorean (4 & 17c)

Equal Temperament Mappings
235
[<469]
<172740]>
 
Reduced Mapping
235
[<134]
<0-6-7]>
 
TE Generator Tunings (cents)
<1198.1991, 283.8664]
 
TE Step Tunings (cents)
<32.93199, 62.73360]
 
TE Tuning Map (cents)
<1198.199, 1891.399, 2805.732]
 
TE Mistunings (cents)
<-1.801, -10.556, 19.418]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.635840
Adjusted Error 14.533727 cents
TE Error 6.259336 cents/octave

Demeter (19 & 27 & 10)

Equal Temperament Mappings
2357
[<19304453]
<27436376]
<10162328]>
 
Reduced Mapping
2357
[<1021]
<0101]
<0032]>
 
TE Generator Tunings (cents)
<1199.7590, 1903.7715, 129.7983]
 
TE Step Tunings (cents)
<27.88381, 23.44660, 3.69085]
 
TE Tuning Map (cents)
<1199.759, 1903.772, 2788.913, 3363.127]
 
TE Mistunings (cents)
<-0.241, 1.817, 2.599, -5.699]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.130368
Adjusted Error 3.645614 cents
TE Error 1.298594 cents/octave

Demeter (10p & 19e & 27e)

Equal Temperament Mappings
235711
[<1016232835]
<1930445365]
<2743637694]>
 
Reduced Mapping
235711
[<1021-3]
<01014]
<00321]>
 
TE Generator Tunings (cents)
<1199.4063, 1904.5751, 129.9744]
 
TE Step Tunings (cents)
<6.27906, 23.35729, 25.66027]
 
TE Tuning Map (cents)
<1199.406, 1904.575, 2788.736, 3363.930, 4150.056]
 
TE Mistunings (cents)
<-0.594, 2.620, 2.422, -4.896, -1.262]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.198434
Adjusted Error 4.193645 cents
TE Error 1.212235 cents/octave

Demeter (19e & 27e & 29)

Equal Temperament Mappings
23571113
[<193044536570]
<2743637694100]
<29466781100107]>
 
Reduced Mapping
23571113
[<1021-32]
<010141]
<003211]>
 
TE Generator Tunings (cents)
<1200.0478, 1905.1888, 129.6779]
 
TE Step Tunings (cents)
<17.68683, 23.80469, 7.63005]
 
TE Tuning Map (cents)
<1200.048, 1905.189, 2789.129, 3364.592, 4150.290, 4434.962]
 
TE Mistunings (cents)
<0.048, 3.234, 2.816, -4.234, -1.028, -5.565]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.171286
Adjusted Error 4.838926 cents
TE Error 1.307662 cents/octave

Demeter (10 & 27eg & 19eg)

Equal Temperament Mappings
2357111317
[<10162328353741]
<2743637694100111]
<19304453657077]>
 
Reduced Mapping
2357111317
[<1021-32-1]
<0101413]
<0032113]>
 
TE Generator Tunings (cents)
<1200.0341, 1905.2007, 129.7033]
 
TE Step Tunings (cents)
<7.54276, 23.94571, 25.16170]
 
TE Tuning Map (cents)
<1200.034, 1905.201, 2789.178, 3364.641, 4150.404, 4434.972, 4904.678]
 
TE Mistunings (cents)
<0.034, 3.246, 2.864, -4.185, -0.914, -5.556, -0.278]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.163832
Adjusted Error 4.950143 cents
TE Error 1.211055 cents/octave

Demeter (27eg & 29g & 19egh)

Equal Temperament Mappings
235711131719
[<2743637694100111115]
<29466781100107118123]
<1930445365707780]>
 
Reduced Mapping
235711131719
[<1021-32-1-2]
<01014134]
<0032113-1]>
 
TE Generator Tunings (cents)
<1200.2266, 1905.8251, 129.2935]
 
TE Step Tunings (cents)
<22.54582, 11.51404, 13.55696]
 
TE Tuning Map (cents)
<1200.227, 1905.825, 2788.334, 3364.639, 4151.914, 4435.572, 4905.129, 5093.553]
 
TE Mistunings (cents)
<0.227, 3.870, 2.020, -4.187, 0.596, -4.956, 0.174, -3.960]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.171566
Adjusted Error 5.134734 cents
TE Error 1.208762 cents/octave

Demolished (12 & 4e)

Equal Temperament Mappings
235711
[<1219283442]
<4691113]>
 
Reduced Mapping
235711
[<4691113]
<01113]>
 
TE Generator Tunings (cents)
<299.6589, 89.7791]
 
TE Step Tunings (cents)
<89.77912, 30.32157]
 
TE Tuning Map (cents)
<1198.636, 1887.733, 2786.709, 3386.027, 4164.903]
 
TE Mistunings (cents)
<-1.364, -14.222, 0.396, 17.201, 13.585]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.158119
Adjusted Error 18.000718 cents
TE Error 5.203374 cents/octave

Deutone (6 & 19)

Equal Temperament Mappings
295713
[<619141722]
<1960445370]>
 
Reduced Mapping
295713
[<13224]
<0125-2]>
 
TE Generator Tunings (cents)
<1203.3657, 191.5946]
 
TE Step Tunings (cents)
<30.19977, 53.79827]
 
TE Tuning Map (cents)
<1203.366, 3801.692, 2789.920, 3364.704, 4430.274]
 
TE Mistunings (cents)
<3.366, -2.218, 3.607, -4.122, -10.254]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.789857
Adjusted Error 8.118179 cents
TE Error 2.193842 cents/octave

Diana (31 & 53 & 29)

Equal Temperament Mappings
23571113
[<31497287107115]
<5384123149183196]
<29466781100107]>
 
Reduced Mapping
23571113
[<101-327]
<01141-2]
<002411]>
 
TE Generator Tunings (cents)
<1200.9152, 1902.4287, -159.1261]
 
TE Step Tunings (cents)
<9.20691, 12.81646, 8.14581]
 
TE Tuning Map (cents)
<1200.915, 1902.429, 2785.092, 3370.465, 4145.133, 4442.423]
 
TE Mistunings (cents)
<0.915, 0.474, -1.222, 1.639, -6.185, 1.895]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.221633
Adjusted Error 3.379180 cents
TE Error 0.913183 cents/octave

Diaschismic (12 & 46)

Equal Temperament Mappings
2357
[<12192834]
<4673107129]>
 
Reduced Mapping
2357
[<2357]
<01-2-8]>
 
TE Generator Tunings (cents)
<599.4466, 103.5853]
 
TE Step Tunings (cents)
<15.32554, 22.06493]
 
TE Tuning Map (cents)
<1198.893, 1901.925, 2790.062, 3367.444]
 
TE Mistunings (cents)
<-1.107, -0.030, 3.749, -1.382]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.627079
Adjusted Error 2.833293 cents
TE Error 1.009239 cents/octave

Diaschismic (12 & 46)

Equal Temperament Mappings
235711
[<1219283442]
<4673107129159]>
 
Reduced Mapping
235711
[<23579]
<01-2-8-12]>
 
TE Generator Tunings (cents)
<599.4488, 103.6189]
 
TE Step Tunings (cents)
<14.55982, 22.26478]
 
TE Tuning Map (cents)
<1198.898, 1901.965, 2790.006, 3367.190, 4151.612]
 
TE Mistunings (cents)
<-1.102, 0.010, 3.692, -1.636, 0.294]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.192346
Adjusted Error 3.129178 cents
TE Error 0.904535 cents/octave

Diaschismic (58 & 46)

Equal Temperament Mappings
23571113
[<5892135163201215]
<4673107129159170]>
 
Reduced Mapping
23571113
[<2357910]
<01-2-8-12-15]>
 
TE Generator Tunings (cents)
<599.4468, 103.6080]
 
TE Step Tunings (cents)
<14.80203, 7.39947]
 
TE Tuning Map (cents)
<1198.894, 1901.948, 2790.018, 3367.263, 4151.724, 4440.347]
 
TE Mistunings (cents)
<-1.106, -0.007, 3.704, -1.563, 0.406, -0.181]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.561293
Adjusted Error 3.057136 cents
TE Error 0.826155 cents/octave

Dichosis (3p & 10p)

Equal Temperament Mappings
235711
[<357810]
<1016232835]>
 
Reduced Mapping
235711
[<11245]
<021-4-5]>
 
TE Generator Tunings (cents)
<1197.8896, 360.0244]
 
TE Step Tunings (cents)
<6.57532, 117.81636]
 
TE Tuning Map (cents)
<1197.890, 1917.938, 2755.804, 3351.461, 4189.326]
 
TE Mistunings (cents)
<-2.110, 15.983, -30.510, -17.365, 38.008]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.061977
Adjusted Error 32.370346 cents
TE Error 9.357129 cents/octave

Dichotic (10 & 7p)

Equal Temperament Mappings
2357
[<10162328]
<7111620]>
 
Reduced Mapping
2357
[<1124]
<021-4]>
 
TE Generator Tunings (cents)
<1200.9794, 356.5546]
 
TE Step Tunings (cents)
<93.92316, 37.39254]
 
TE Tuning Map (cents)
<1200.979, 1914.089, 2758.513, 3377.699]
 
TE Mistunings (cents)
<0.979, 12.134, -27.800, 8.873]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.972583
Adjusted Error 20.481512 cents
TE Error 7.295662 cents/octave

Dichotic (7p & 10p)

Equal Temperament Mappings
235711
[<711162024]
<1016232835]>
 
Reduced Mapping
235711
[<11242]
<021-45]>
 
TE Generator Tunings (cents)
<1199.7252, 354.1814]
 
TE Step Tunings (cents)
<57.36200, 79.81912]
 
TE Tuning Map (cents)
<1199.725, 1908.088, 2753.632, 3382.175, 4170.357]
 
TE Mistunings (cents)
<-0.275, 6.133, -32.682, 13.350, 19.039]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.030746
Adjusted Error 25.235583 cents
TE Error 7.294719 cents/octave

Dicot (7 & 3)

Equal Temperament Mappings
235
[<71116]
<357]>
 
Reduced Mapping
235
[<112]
<021]>
 
TE Generator Tunings (cents)
<1206.4097, 350.4563]
 
TE Step Tunings (cents)
<155.04084, 40.37461]
 
TE Tuning Map (cents)
<1206.410, 1907.322, 2763.276]
 
TE Mistunings (cents)
<6.410, 5.367, -23.038]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.520928
Adjusted Error 16.472965 cents
TE Error 7.094520 cents/octave

Dicot (4 & 3d)

Equal Temperament Mappings
2357
[<46911]
<3579]>
 
Reduced Mapping
2357
[<1122]
<0213]>
 
TE Generator Tunings (cents)
<1206.2462, 338.1317]
 
TE Step Tunings (cents)
<191.85106, 146.28064]
 
TE Tuning Map (cents)
<1206.246, 1882.510, 2750.624, 3426.887]
 
TE Mistunings (cents)
<6.246, -19.445, -35.690, 58.062]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.500706
Adjusted Error 41.008929 cents
TE Error 14.607675 cents/octave

Dicot (3de & 4e)

Equal Temperament Mappings
235711
[<357911]
<4691113]>
 
Reduced Mapping
235711
[<11222]
<02135]>
 
TE Generator Tunings (cents)
<1204.1482, 343.3072]
 
TE Step Tunings (cents)
<169.08063, 174.22658]
 
TE Tuning Map (cents)
<1204.148, 1890.763, 2751.604, 3438.218, 4124.833]
 
TE Mistunings (cents)
<4.148, -11.192, -34.710, 69.392, -26.485]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.540188
Adjusted Error 47.938641 cents
TE Error 13.857375 cents/octave

Diesic (31 & 1ce)

Equal Temperament Mappings
235711
[<31497287107]
<12334]>
 
Reduced Mapping
235711
[<12334]
<0-13-21-6-17]>
 
TE Generator Tunings (cents)
<1200.5005, 38.5809]
 
TE Step Tunings (cents)
<38.58088, 4.49313]
 
TE Tuning Map (cents)
<1200.500, 1899.449, 2791.303, 3370.016, 4146.127]
 
TE Mistunings (cents)
<0.500, -2.506, 4.989, 1.190, -5.191]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.454361
Adjusted Error 4.842669 cents
TE Error 1.399845 cents/octave

Diesic (31 & 1ce)

Equal Temperament Mappings
23571113
[<31497287107115]
<123344]>
 
Reduced Mapping
23571113
[<123344]
<0-13-21-6-17-9]>
 
TE Generator Tunings (cents)
<1199.3181, 38.4218]
 
TE Step Tunings (cents)
<38.42184, 8.24110]
 
TE Tuning Map (cents)
<1199.318, 1899.152, 2791.096, 3367.423, 4144.101, 4451.476]
 
TE Mistunings (cents)
<-0.682, -2.803, 4.782, -1.403, -7.217, 10.948]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.283704
Adjusted Error 6.953864 cents
TE Error 1.879199 cents/octave

Diminished (12 & 4)

Equal Temperament Mappings
235
[<121928]
<469]>
 
Reduced Mapping
235
[<469]
<011]>
 
TE Generator Tunings (cents)
<299.6536, 99.3923]
 
TE Step Tunings (cents)
<99.39225, 1.47683]
 
TE Tuning Map (cents)
<1198.614, 1897.314, 2796.275]
 
TE Mistunings (cents)
<-1.386, -4.641, 9.961]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.054166
Adjusted Error 7.206471 cents
TE Error 3.103658 cents/octave

Diminished (12 & 4)

Equal Temperament Mappings
2357
[<12192834]
<46911]>
 
Reduced Mapping
2357
[<46911]
<0111]>
 
TE Generator Tunings (cents)
<299.0548, 99.2099]
 
TE Step Tunings (cents)
<99.20990, 1.42513]
 
TE Tuning Map (cents)
<1196.219, 1893.539, 2790.703, 3388.813]
 
TE Mistunings (cents)
<-3.781, -8.416, 4.390, 19.987]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.914754
Adjusted Error 13.806908 cents
TE Error 4.918120 cents/octave

Diminished (12 & 8d)

Equal Temperament Mappings
235711
[<1219283442]
<813192328]>
 
Reduced Mapping
235711
[<4691114]
<01110]>
 
TE Generator Tunings (cents)
<297.8775, 108.2476]
 
TE Step Tunings (cents)
<81.38235, 26.86521]
 
TE Tuning Map (cents)
<1191.510, 1895.512, 2789.145, 3384.900, 4170.285]
 
TE Mistunings (cents)
<-8.490, -6.443, 2.831, 16.074, 18.967]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.000471
Adjusted Error 19.132446 cents
TE Error 5.530517 cents/octave

Diminished (8d & 12f)

Equal Temperament Mappings
23571113
[<81319232830]
<121928344245]>
 
Reduced Mapping
23571113
[<4710121415]
<0-1-1-100]>
 
TE Generator Tunings (cents)
<297.2914, 184.5453]
 
TE Step Tunings (cents)
<40.94707, 71.79909]
 
TE Tuning Map (cents)
<1189.166, 1896.495, 2788.369, 3382.952, 4162.080, 4459.371]
 
TE Mistunings (cents)
<-10.834, -5.460, 2.055, 14.126, 10.762, 18.844]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.009635
Adjusted Error 20.876177 cents
TE Error 5.641540 cents/octave

Ditonic (53 & 50)

Equal Temperament Mappings
235
[<5384123]
<5079116]>
 
Reduced Mapping
235
[<163]
<0-13-2]>
 
TE Generator Tunings (cents)
<1200.2973, 407.6749]
 
TE Step Tunings (cents)
<21.31014, 1.41719]
 
TE Tuning Map (cents)
<1200.297, 1902.010, 2785.542]
 
TE Mistunings (cents)
<0.297, 0.055, -0.772]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.679404
Adjusted Error 0.599564 cents
TE Error 0.258218 cents/octave

Ditonic (50 & 3p)

Equal Temperament Mappings
23571113
[<5079116140173185]
<35781011]>
 
Reduced Mapping
23571113
[<163-4-32]
<0-13-220195]>
 
TE Generator Tunings (cents)
<1201.3993, 408.3627]
 
TE Step Tunings (cents)
<23.68886, 5.65206]
 
TE Tuning Map (cents)
<1201.399, 1899.680, 2787.472, 3361.657, 4154.694, 4444.612]
 
TE Mistunings (cents)
<1.399, -2.275, 1.159, -7.169, 3.376, 4.084]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.939798
Adjusted Error 5.438048 cents
TE Error 1.469568 cents/octave

Ditonic (53 & 50)

Equal Temperament Mappings
2351113
[<5384123183196]
<5079116173185]>
 
Reduced Mapping
2351113
[<163-32]
<0-13-2195]>
 
TE Generator Tunings (cents)
<1200.8035, 407.9652]
 
TE Step Tunings (cents)
<15.40068, 7.69134]
 
TE Tuning Map (cents)
<1200.803, 1901.274, 2786.480, 4148.928, 4441.433]
 
TE Mistunings (cents)
<0.803, -0.681, 0.166, -2.390, 0.905]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.447208
Adjusted Error 1.938898 cents
TE Error 0.523964 cents/octave

Divination (22 & 60)

Contorted Magic (order 2)
 
Equal Temperament Mappings
2357
[<22355162]
<6095139168]>
 
Reduced Mapping
2357
[<25510]
<0-5-1-12]>
 
TE Generator Tunings (cents)
<600.5412, 219.8461]
 
TE Step Tunings (cents)
<10.57050, 16.14219]
 
TE Tuning Map (cents)
<1201.082, 1903.476, 2782.860, 3367.259]
 
TE Mistunings (cents)
<1.082, 1.521, -3.454, -1.567]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.597358
Adjusted Error 3.015814 cents
TE Error 1.074254 cents/octave

Divination (22 & 38d)

Equal Temperament Mappings
235711
[<2235516276]
<386088106131]>
 
Reduced Mapping
235711
[<255108]
<0-5-1-12-3]>
 
TE Generator Tunings (cents)
<600.8336, 220.0719]
 
TE Step Tunings (cents)
<24.46975, 17.45613]
 
TE Tuning Map (cents)
<1201.667, 1903.809, 2784.096, 3367.474, 4146.453]
 
TE Mistunings (cents)
<1.667, 1.854, -2.217, -1.352, -4.865]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.333439
Adjusted Error 4.171165 cents
TE Error 1.205737 cents/octave

Divination (22f & 38df)

Equal Temperament Mappings
23571113
[<223551627682]
<386088106131140]>
 
Reduced Mapping
23571113
[<25510814]
<0-5-1-12-3-18]>
 
TE Generator Tunings (cents)
<600.9670, 220.4344]
 
TE Step Tunings (cents)
<18.51483, 20.91073]
 
TE Tuning Map (cents)
<1201.934, 1902.663, 2784.401, 3364.457, 4146.433, 4445.718]
 
TE Mistunings (cents)
<1.934, 0.708, -1.913, -4.369, -4.885, 5.191]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.826548
Adjusted Error 5.010982 cents
TE Error 1.354158 cents/octave

Dodifo (289 & 494)

Equal Temperament Mappings
235
[<289458671]
<4947831147]>
 
Reduced Mapping
235
[<1125]
<0-35-9]>
 
TE Generator Tunings (cents)
<1200.0201, 357.0937]
 
TE Step Tunings (cents)
<1.33149, 1.65024]
 
TE Tuning Map (cents)
<1200.020, 1901.962, 2786.257]
 
TE Mistunings (cents)
<0.020, 0.007, -0.057]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.626986
Adjusted Error 0.042694 cents
TE Error 0.018387 cents/octave

Dodifo (84 & 121)

Equal Temperament Mappings
23513
[<84133195311]
<121192281448]>
 
Reduced Mapping
23513
[<11254]
<0-35-9-1]>
 
TE Generator Tunings (cents)
<1199.7711, 357.0070]
 
TE Step Tunings (cents)
<6.08352, 5.69219]
 
TE Tuning Map (cents)
<1199.771, 1902.009, 2785.793, 4442.077]
 
TE Mistunings (cents)
<-0.229, 0.054, -0.521, 1.550]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.094965
Adjusted Error 0.977824 cents
TE Error 0.264245 cents/octave

Domain (171 & 1335)

Equal Temperament Mappings
2357
[<171271397480]
<1335211631003748]>
 
Reduced Mapping
2357
[<3-3-9-8]
<0173536]>
 
TE Generator Tunings (cents)
<400.0013, 182.4672]
 
TE Step Tunings (cents)
<2.33972, 0.59919]
 
TE Tuning Map (cents)
<1200.004, 1901.939, 2786.342, 3368.810]
 
TE Mistunings (cents)
<0.004, -0.016, 0.028, -0.016]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 17.348590
Adjusted Error 0.023954 cents
TE Error 0.008533 cents/octave

Dominant (12 & 5)

Equal Temperament Mappings
2357
[<12192834]
<581214]>
 
Reduced Mapping
2357
[<1242]
<0-1-42]>
 
TE Generator Tunings (cents)
<1195.4122, 496.5212]
 
TE Step Tunings (cents)
<91.78184, 18.80602]
 
TE Tuning Map (cents)
<1195.412, 1894.303, 2795.564, 3383.867]
 
TE Mistunings (cents)
<-4.588, -7.652, 9.250, 15.041]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.897840
Adjusted Error 13.237136 cents
TE Error 4.715163 cents/octave

Dominant (12 & 5p)

Equal Temperament Mappings
235711
[<1219283442]
<58121417]>
 
Reduced Mapping
235711
[<12421]
<0-1-426]>
 
TE Generator Tunings (cents)
<1194.1045, 494.3059]
 
TE Step Tunings (cents)
<83.32039, 38.85196]
 
TE Tuning Map (cents)
<1194.105, 1893.903, 2799.195, 3376.821, 4159.940]
 
TE Mistunings (cents)
<-5.895, -8.052, 12.881, 7.995, 8.622]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.178787
Adjusted Error 15.902907 cents
TE Error 4.596971 cents/octave

Dominatrix (7p & 5e)

Equal Temperament Mappings
23571113
[<71116202426]
<5812141819]>
 
Reduced Mapping
23571113
[<124265]
<0-1-42-6-3]>
 
TE Generator Tunings (cents)
<1193.3659, 498.6835]
 
TE Step Tunings (cents)
<106.68574, 89.31315]
 
TE Tuning Map (cents)
<1193.366, 1888.048, 2778.730, 3384.099, 4168.094, 4470.779]
 
TE Mistunings (cents)
<-6.634, -13.907, -7.584, 15.273, 16.776, 30.251]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.882143
Adjusted Error 23.963119 cents
TE Error 6.475749 cents/octave

Domineering (12 & 7p)

Equal Temperament Mappings
235711
[<1219283442]
<711162024]>
 
Reduced Mapping
235711
[<12426]
<0-1-42-6]>
 
TE Generator Tunings (cents)
<1194.8521, 499.0733]
 
TE Step Tunings (cents)
<91.04309, 14.61929]
 
TE Tuning Map (cents)
<1194.852, 1890.631, 2783.115, 3387.851, 4174.673]
 
TE Mistunings (cents)
<-5.148, -11.324, -3.199, 19.025, 23.355]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.963541
Adjusted Error 20.227906 cents
TE Error 5.847176 cents/octave

Dominion (5p & 12p)

Equal Temperament Mappings
23571113
[<5812141719]
<121928344244]>
 
Reduced Mapping
23571113
[<124217]
<0-1-426-8]>
 
TE Generator Tunings (cents)
<1195.1591, 493.0981]
 
TE Step Tunings (cents)
<58.61804, 75.17241]
 
TE Tuning Map (cents)
<1195.159, 1897.220, 2808.244, 3376.515, 4153.748, 4421.329]
 
TE Mistunings (cents)
<-4.841, -4.735, 21.930, 7.689, 2.430, -19.199]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.349678
Adjusted Error 18.897365 cents
TE Error 5.106789 cents/octave

Donar (270 & 494 & 684)

Equal Temperament Mappings
23571113
[<270428627758934999]
<4947831147138717091828]
<68410841588192023662531]>
 
Reduced Mapping
23571113
[<201-227]
<010753]
<002-8-6-5]>
 
TE Generator Tunings (cents)
<600.0175, 1901.9810, 1093.1197]
 
TE Step Tunings (cents)
<0.75195, 0.82817, 0.85949]
 
TE Tuning Map (cents)
<1200.035, 1901.981, 2786.257, 3368.874, 4151.222, 4440.467]
 
TE Mistunings (cents)
<0.035, 0.026, -0.057, 0.049, -0.096, -0.061]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.726719
Adjusted Error 0.088505 cents
TE Error 0.023917 cents/octave

Doublethink (9 & 53)

Equal Temperament Mappings
23571113
[<91421253133]
<5384123149183196]>
 
Reduced Mapping
23571113
[<103132]
<014-616415]>
 
TE Generator Tunings (cents)
<1200.6935, 135.8013]
 
TE Step Tunings (cents)
<6.69403, 21.51787]
 
TE Tuning Map (cents)
<1200.694, 1901.218, 2787.273, 3373.514, 4145.286, 4438.406]
 
TE Mistunings (cents)
<0.694, -0.737, 0.959, 4.688, -6.032, -2.122]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.781183
Adjusted Error 4.004279 cents
TE Error 1.082109 cents/octave

Doublewide (22 & 26)

Equal Temperament Mappings
235
[<223551]
<264160]>
 
Reduced Mapping
235
[<256]
<0-4-3]>
 
TE Generator Tunings (cents)
<600.6864, 274.7945]
 
TE Step Tunings (cents)
<31.79016, 19.30728]
 
TE Tuning Map (cents)
<1201.373, 1904.254, 2779.735]
 
TE Mistunings (cents)
<1.373, 2.299, -6.579]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.058442
Adjusted Error 4.647023 cents
TE Error 2.001364 cents/octave

Doublewide (22 & 4)

Equal Temperament Mappings
2357
[<22355162]
<46911]>
 
Reduced Mapping
2357
[<2567]
<0-4-3-3]>
 
TE Generator Tunings (cents)
<600.0467, 274.3022]
 
TE Step Tunings (cents)
<51.44224, 17.09105]
 
TE Tuning Map (cents)
<1200.093, 1903.025, 2777.374, 3377.420]
 
TE Mistunings (cents)
<0.093, 1.070, -8.940, 8.594]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.793221
Adjusted Error 6.970653 cents
TE Error 2.482997 cents/octave

Doublewide (22 & 26)

Equal Temperament Mappings
235711
[<2235516276]
<2641607390]>
 
Reduced Mapping
235711
[<25676]
<0-4-3-32]>
 
TE Generator Tunings (cents)
<600.1922, 274.5431]
 
TE Step Tunings (cents)
<32.09258, 19.01337]
 
TE Tuning Map (cents)
<1200.384, 1902.788, 2777.524, 3377.716, 4150.239]
 
TE Mistunings (cents)
<0.384, 0.833, -8.790, 8.890, -1.079]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.154473
Adjusted Error 7.717000 cents
TE Error 2.230713 cents/octave

Draco (58 & 53 & 34d)

Equal Temperament Mappings
235711
[<5892135163201]
<5384123149183]
<34547996118]>
 
Reduced Mapping
235711
[<100-2-6]
<02099]
<001-11]>
 
TE Generator Tunings (cents)
<1199.3884, 950.8215, 2788.2598]
 
TE Step Tunings (cents)
<12.50657, 10.18078, -1.92865]
 
TE Tuning Map (cents)
<1199.388, 1901.643, 2788.260, 3370.357, 4149.323]
 
TE Mistunings (cents)
<-0.612, -0.312, 1.946, 1.531, -1.995]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.308475
Adjusted Error 2.043853 cents
TE Error 0.590806 cents/octave

Draco (58 & 53 & 19e)

Equal Temperament Mappings
23571113
[<5892135163201215]
<5384123149183196]
<193044536570]>
 
Reduced Mapping
23571113
[<100-2-6-1]
<020993]
<001-111]>
 
TE Generator Tunings (cents)
<1199.3566, 950.7994, 2788.1041]
 
TE Step Tunings (cents)
<12.24569, 8.61908, 1.69975]
 
TE Tuning Map (cents)
<1199.357, 1901.599, 2788.104, 3370.377, 4149.159, 4441.146]
 
TE Mistunings (cents)
<-0.643, -0.356, 1.790, 1.551, -2.159, 0.618]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.268371
Adjusted Error 2.016510 cents
TE Error 0.544938 cents/octave

Duodecim (12 & 12e)

Equal Temperament Mappings
235711
[<1219283442]
<1219283441]>
 
Reduced Mapping
235711
[<1219283442]
<0000-1]>
 
TE Generator Tunings (cents)
<99.6710, 34.8622]
 
TE Step Tunings (cents)
<64.80875, 34.86220]
 
TE Tuning Map (cents)
<1196.051, 1893.748, 2790.787, 3388.812, 4151.318]
 
TE Mistunings (cents)
<-3.949, -8.207, 4.473, 19.987, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.392080
Adjusted Error 15.221382 cents
TE Error 4.399966 cents/octave

Dwynwen (15 & 46)

Equal Temperament Mappings
23571113
[<152435425256]
<4673107129159170]>
 
Reduced Mapping
23571113
[<112332]
<095-3726]>
 
TE Generator Tunings (cents)
<1200.1405, 78.2280]
 
TE Step Tunings (cents)
<-1.93382, 26.72061]
 
TE Tuning Map (cents)
<1200.141, 1904.192, 2791.421, 3365.738, 4148.018, 4434.209]
 
TE Mistunings (cents)
<0.141, 2.237, 5.107, -3.088, -3.300, -6.319]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.880939
Adjusted Error 5.208511 cents
TE Error 1.407539 cents/octave

Echidna (22 & 58)

Equal Temperament Mappings
2357
[<22355162]
<5892135163]>
 
Reduced Mapping
2357
[<2437]
<0-36-5]>
 
TE Generator Tunings (cents)
<599.3067, 164.9535]
 
TE Step Tunings (cents)
<10.80327, 16.56796]
 
TE Tuning Map (cents)
<1198.613, 1902.366, 2787.641, 3370.379]
 
TE Mistunings (cents)
<-1.387, 0.411, 1.327, 1.554]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.628444
Adjusted Error 2.273362 cents
TE Error 0.809788 cents/octave

Echidna (22 & 58)

Equal Temperament Mappings
235711
[<2235516276]
<5892135163201]>
 
Reduced Mapping
235711
[<24375]
<0-36-57]>
 
TE Generator Tunings (cents)
<599.3096, 164.9576]
 
TE Step Tunings (cents)
<10.70538, 16.60518]
 
TE Tuning Map (cents)
<1198.619, 1902.365, 2787.674, 3370.379, 4151.251]
 
TE Mistunings (cents)
<-1.381, 0.410, 1.361, 1.553, -0.067]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.730106
Adjusted Error 2.505948 cents
TE Error 0.724381 cents/octave

Echidna (58 & 22p)

Equal Temperament Mappings
23571113
[<5892135163201215]
<223551627681]>
 
Reduced Mapping
23571113
[<243753]
<0-36-5716]>
 
TE Generator Tunings (cents)
<599.3410, 165.0629]
 
TE Step Tunings (cents)
<17.66849, 7.90497]
 
TE Tuning Map (cents)
<1198.682, 1902.175, 2788.400, 3370.073, 4152.145, 4439.029]
 
TE Mistunings (cents)
<-1.318, 0.220, 2.086, 1.247, 0.827, -1.499]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.595975
Adjusted Error 2.608914 cents
TE Error 0.705028 cents/octave

Echidnic (46 & 10p)

Equal Temperament Mappings
235711
[<4673107129159]
<1016232835]>
 
Reduced Mapping
235711
[<22763]
<03-6-110]>
 
TE Generator Tunings (cents)
<599.8052, 235.0197]
 
TE Step Tunings (cents)
<24.51185, 7.20656]
 
TE Tuning Map (cents)
<1199.610, 1904.670, 2788.518, 3363.812, 4149.613]
 
TE Mistunings (cents)
<-0.390, 2.715, 2.205, -5.014, -1.705]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.802631
Adjusted Error 4.214202 cents
TE Error 1.218178 cents/octave

Echidnic (10p & 46)

Equal Temperament Mappings
23571113
[<101623283537]
<4673107129159170]>
 
Reduced Mapping
23571113
[<227637]
<03-6-1101]>
 
TE Generator Tunings (cents)
<599.9612, 235.0725]
 
TE Step Tunings (cents)
<7.01567, 24.56013]
 
TE Tuning Map (cents)
<1199.922, 1905.140, 2789.294, 3364.695, 4150.608, 4434.801]
 
TE Mistunings (cents)
<-0.078, 3.185, 2.980, -4.131, -0.709, -5.726]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.471183
Adjusted Error 4.846798 cents
TE Error 1.309790 cents/octave

Edson (29 & 41)

Equal Temperament Mappings
237/511/513/5
[<2946143340]
<4165204757]>
 
Reduced Mapping
237/511/513/5
[<12-2-3-4]
<0-161013]>
 
TE Generator Tunings (cents)
<1198.9836, 496.4505]
 
TE Step Tunings (cents)
<28.25310, 9.25960]
 
TE Tuning Map (cents)
<1198.984, 1901.517, 580.735, 1367.554, 1657.921]
 
TE Mistunings (cents)
<-1.016, -0.438, -1.777, 2.549, 3.707]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 5.295594
Adjusted Error 3.666874 cents
TE Error 2.313540 cents/octave

Egads (1783 & 3125)

Equal Temperament Mappings
235
[<178328264140]
<312549537256]>
 
Reduced Mapping
235
[<11516]
<0-51-52]>
 
TE Generator Tunings (cents)
<1200.0006, 315.6481]
 
TE Step Tunings (cents)
<0.25306, 0.23961]
 
TE Tuning Map (cents)
<1200.001, 1901.957, 2786.309]
 
TE Mistunings (cents)
<0.001, 0.002, -0.004]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.468279
Adjusted Error 0.003059 cents
TE Error 0.001318 cents/octave

Ekadash (72 & 190)

Equal Temperament Mappings
23571113
[<72114167202249266]
<190301441533657703]>
 
Reduced Mapping
23571113
[<2585619]
<0-6-1123-38]>
 
TE Generator Tunings (cents)
<600.2583, 183.2662]
 
TE Step Tunings (cents)
<2.79734, 5.25846]
 
TE Tuning Map (cents)
<1200.517, 1901.694, 2786.138, 3367.824, 4151.348, 4440.792]
 
TE Mistunings (cents)
<0.517, -0.261, -0.176, -1.002, 0.030, 0.265]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.917398
Adjusted Error 0.993187 cents
TE Error 0.268397 cents/octave

Emerald (2 & 3)

Equal Temperament Mappings
2313
[<237]
<3511]>
 
Reduced Mapping
2313
[<113]
<011]>
 
TE Generator Tunings (cents)
<1213.7164, 705.4671]
 
TE Step Tunings (cents)
<311.03145, 197.21784]
 
TE Tuning Map (cents)
<1213.716, 1919.184, 4346.616]
 
TE Mistunings (cents)
<13.716, 17.229, -93.911]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.255470
Adjusted Error 65.862311 cents
TE Error 17.798509 cents/octave

Emeraldish-Green (5 & 3 & 12p)

Equal Temperament Mappings
23513
[<581219]
<35711]
<12192844]>
 
Reduced Mapping
23513
[<100-1]
<0100]
<0012]>
 
TE Generator Tunings (cents)
<1198.1273, 1901.9550, 2806.5061]
 
TE Step Tunings (cents)
<32.62687, 8.80458, 84.04827]
 
TE Tuning Map (cents)
<1198.127, 1901.955, 2806.506, 4414.885]
 
TE Mistunings (cents)
<-1.873, -0.000, 20.192, -25.643]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.055271
Adjusted Error 20.863577 cents
TE Error 5.638135 cents/octave

Emeraldish-Green Minus White (3 & 2f)

Equal Temperament Mappings
2513
[<3711]
<258]>
 
Reduced Mapping
2513
[<123]
<012]>
 
TE Generator Tunings (cents)
<1198.1273, 410.2514]
 
TE Step Tunings (cents)
<377.62453, 32.62687]
 
TE Tuning Map (cents)
<1198.127, 2806.506, 4414.885]
 
TE Mistunings (cents)
<-1.873, 20.192, -25.643]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.233605
Adjusted Error 24.091184 cents
TE Error 6.510357 cents/octave

Emka (224 & 87)

Equal Temperament Mappings
235
[<224355520]
<87138202]>
 
Reduced Mapping
235
[<1146]
<0-27-8]>
 
TE Generator Tunings (cents)
<1200.1125, 551.8361]
 
TE Step Tunings (cents)
<5.24097, 0.30040]
 
TE Tuning Map (cents)
<1200.113, 1902.000, 2785.986]
 
TE Mistunings (cents)
<0.113, 0.045, -0.328]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.353412
Adjusted Error 0.244883 cents
TE Error 0.105466 cents/octave

Emka (50 & 87)

Equal Temperament Mappings
2357
[<5079116140]
<87138202244]>
 
Reduced Mapping
2357
[<114612]
<0-27-8-20]>
 
TE Generator Tunings (cents)
<1200.4715, 551.9991]
 
TE Step Tunings (cents)
<5.05860, 10.89128]
 
TE Tuning Map (cents)
<1200.472, 1902.626, 2786.837, 3365.677]
 
TE Mistunings (cents)
<0.472, 0.671, 0.523, -3.149]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.367636
Adjusted Error 1.835937 cents
TE Error 0.653974 cents/octave

Emka (87 & 50)

Equal Temperament Mappings
235711
[<87138202244301]
<5079116140173]>
 
Reduced Mapping
235711
[<1146123]
<0-27-8-201]>
 
TE Generator Tunings (cents)
<1200.2568, 551.8832]
 
TE Step Tunings (cents)
<11.74492, 3.56898]
 
TE Tuning Map (cents)
<1200.257, 1902.748, 2786.475, 3365.417, 4152.654]
 
TE Mistunings (cents)
<0.257, 0.793, 0.161, -3.409, 1.336]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.381019
Adjusted Error 2.157438 cents
TE Error 0.623640 cents/octave

Emka (87 & 50)

Equal Temperament Mappings
23571113
[<87138202244301322]
<5079116140173185]>
 
Reduced Mapping
23571113
[<11461236]
<0-27-8-201-5]>
 
TE Generator Tunings (cents)
<1200.1524, 551.8284]
 
TE Step Tunings (cents)
<12.08354, 2.97769]
 
TE Tuning Map (cents)
<1200.152, 1902.766, 2786.287, 3365.260, 4152.286, 4441.772]
 
TE Mistunings (cents)
<0.152, 0.811, -0.027, -3.566, 0.968, 1.244]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.023687
Adjusted Error 2.183871 cents
TE Error 0.590165 cents/octave

Emka (87 & 224)

Equal Temperament Mappings
2351113
[<87138202301322]
<224355520775829]>
 
Reduced Mapping
2351113
[<114636]
<0-27-81-5]>
 
TE Generator Tunings (cents)
<1199.9718, 551.7624]
 
TE Step Tunings (cents)
<2.32638, 4.45347]
 
TE Tuning Map (cents)
<1199.972, 1902.021, 2785.732, 4151.678, 4441.019]
 
TE Mistunings (cents)
<-0.028, 0.066, -0.582, 0.360, 0.491]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.498734
Adjusted Error 0.506800 cents
TE Error 0.136957 cents/octave

Emka (87 & 37)

Equal Temperament Mappings
251113
[<87202301322]
<3786128137]>
 
Reduced Mapping
251113
[<1636]
<0-81-5]>
 
TE Generator Tunings (cents)
<1199.8959, 551.6509]
 
TE Step Tunings (cents)
<12.85077, 2.21296]
 
TE Tuning Map (cents)
<1199.896, 2786.169, 4151.339, 4441.121]
 
TE Mistunings (cents)
<-0.104, -0.145, 0.021, 0.594]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.474972
Adjusted Error 0.372354 cents
TE Error 0.100624 cents/octave

Emkay (224 & 311)

Equal Temperament Mappings
235711
[<224355520629775]
<3114937228731076]>
 
Reduced Mapping
235711
[<1146-283]
<0-27-8671]>
 
TE Generator Tunings (cents)
<1199.9959, 551.7727]
 
TE Step Tunings (cents)
<1.90439, 2.48686]
 
TE Tuning Map (cents)
<1199.996, 1902.079, 2785.794, 3368.887, 4151.760]
 
TE Mistunings (cents)
<-0.004, 0.124, -0.520, 0.062, 0.442]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.183589
Adjusted Error 0.418450 cents
TE Error 0.120959 cents/octave

Emkay (224 & 87)

Equal Temperament Mappings
23571113
[<224355520629775829]
<87138202244301322]>
 
Reduced Mapping
23571113
[<1146-2836]
<0-27-8671-5]>
 
TE Generator Tunings (cents)
<1199.9695, 551.7609]
 
TE Step Tunings (cents)
<4.41851, 2.41637]
 
TE Tuning Map (cents)
<1199.969, 1902.029, 2785.730, 3368.834, 4151.669, 4441.012]
 
TE Mistunings (cents)
<-0.031, 0.074, -0.584, 0.008, 0.351, 0.485]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 12.060265
Adjusted Error 0.462754 cents
TE Error 0.125054 cents/octave

Enipucrop (7 & 1p)

Equal Temperament Mappings
235
[<71116]
<122]>
 
Reduced Mapping
235
[<122]
<0-32]>
 
TE Generator Tunings (cents)
<1210.2699, 174.5816]
 
TE Step Tunings (cents)
<174.58158, -11.80110]
 
TE Tuning Map (cents)
<1210.270, 1896.795, 2769.703]
 
TE Mistunings (cents)
<10.270, -5.160, -16.611]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.140571
Adjusted Error 17.336749 cents
TE Error 7.466531 cents/octave

Enjera (12f & 2cde)

Equal Temperament Mappings
23571113
[<121928344245]
<234567]>
 
Reduced Mapping
23571113
[<234567]
<014463]>
 
TE Generator Tunings (cents)
<599.2609, 94.0046]
 
TE Step Tunings (cents)
<94.00458, 35.23343]
 
TE Tuning Map (cents)
<1198.522, 1891.787, 2773.062, 3372.323, 4159.593, 4476.840]
 
TE Mistunings (cents)
<-1.478, -10.168, -13.252, 3.497, 8.275, 36.313]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.265551
Adjusted Error 20.238809 cents
TE Error 5.469298 cents/octave

Enlil (72 & 87 & 53)

Equal Temperament Mappings
235711
[<72114167202249]
<87138202244301]
<5384123149183]>
 
Reduced Mapping
235711
[<10106]
<06501]
<0001-1]>
 
TE Generator Tunings (cents)
<1200.3808, 317.0421, 3368.5016]
 
TE Step Tunings (cents)
<7.38207, 5.28237, 3.94917]
 
TE Tuning Map (cents)
<1200.381, 1902.253, 2785.591, 3368.502, 4150.826]
 
TE Mistunings (cents)
<0.381, 0.298, -0.722, -0.324, -0.492]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.305746
Adjusted Error 0.862347 cents
TE Error 0.249274 cents/octave

Enlil (72 & 87 & 53)

Equal Temperament Mappings
23571113
[<72114167202249266]
<87138202244301322]
<5384123149183196]>
 
Reduced Mapping
23571113
[<101060]
<0650114]
<0001-10]>
 
TE Generator Tunings (cents)
<1200.3561, 317.1025, 3368.4666]
 
TE Step Tunings (cents)
<5.27367, 6.71953, 4.45383]
 
TE Tuning Map (cents)
<1200.356, 1902.615, 2785.868, 3368.467, 4150.772, 4439.435]
 
TE Mistunings (cents)
<0.356, 0.660, -0.445, -0.359, -0.546, -1.093]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.309713
Adjusted Error 1.030586 cents
TE Error 0.278504 cents/octave

Enneadecal (171 & 323)

Equal Temperament Mappings
235
[<171271397]
<323512750]>
 
Reduced Mapping
235
[<193044]
<011]>
 
TE Generator Tunings (cents)
<63.1586, 7.2418]
 
TE Step Tunings (cents)
<3.20620, 2.01781]
 
TE Tuning Map (cents)
<1200.013, 1901.999, 2786.219]
 
TE Mistunings (cents)
<0.013, 0.044, -0.095]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.001499
Adjusted Error 0.068354 cents
TE Error 0.029438 cents/octave

Enneadecal (171 & 323)

Equal Temperament Mappings
2357
[<171271397480]
<323512750907]>
 
Reduced Mapping
2357
[<19304453]
<0113]>
 
TE Generator Tunings (cents)
<63.1599, 7.1437]
 
TE Step Tunings (cents)
<4.87612, 1.13381]
 
TE Tuning Map (cents)
<1200.038, 1901.941, 2786.179, 3368.906]
 
TE Mistunings (cents)
<0.038, -0.014, -0.134, 0.080]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.303278
Adjusted Error 0.105920 cents
TE Error 0.037729 cents/octave

Ennealim (72 & 27e)

Equal Temperament Mappings
23571113
[<72114167202249266]
<2743637694100]>
 
Reduced Mapping
23571113
[<91522263334]
<0-2-3-2-5-2]>
 
TE Generator Tunings (cents)
<133.4088, 49.7357]
 
TE Step Tunings (cents)
<15.79841, 2.34050]
 
TE Tuning Map (cents)
<1200.679, 1901.661, 2785.787, 3369.158, 4153.812, 4436.428]
 
TE Mistunings (cents)
<0.679, -0.294, -0.527, 0.332, 2.494, -4.099]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.575934
Adjusted Error 2.295347 cents
TE Error 0.620290 cents/octave

Ennealiminal (72 & 99p)

Equal Temperament Mappings
235711
[<72114167202249]
<99157230278342]>
 
Reduced Mapping
235711
[<915222630]
<0-2-3-23]>
 
TE Generator Tunings (cents)
<133.3884, 49.5240]
 
TE Step Tunings (cents)
<11.21044, 3.97317]
 
TE Tuning Map (cents)
<1200.495, 1901.778, 2785.972, 3369.050, 4150.223]
 
TE Mistunings (cents)
<0.495, -0.177, -0.341, 0.224, -1.095]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.385776
Adjusted Error 0.961246 cents
TE Error 0.277862 cents/octave

Ennealimmal (612 & 441)

Equal Temperament Mappings
235
[<6129701421]
<4416991024]>
 
Reduced Mapping
235
[<91522]
<0-2-3]>
 
TE Generator Tunings (cents)
<133.3333, 49.0141]
 
TE Step Tunings (cents)
<1.69299, 0.37163]
 
TE Tuning Map (cents)
<1200.000, 1901.971, 2786.290]
 
TE Mistunings (cents)
<-0.000, 0.016, -0.023]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.418750
Adjusted Error 0.019312 cents
TE Error 0.008317 cents/octave

Ennealimmal (171 & 441)

Equal Temperament Mappings
2357
[<171271397480]
<44169910241238]>
 
Reduced Mapping
2357
[<9152226]
<0-2-3-2]>
 
TE Generator Tunings (cents)
<133.3357, 49.0214]
 
TE Step Tunings (cents)
<2.00342, 1.94430]
 
TE Tuning Map (cents)
<1200.022, 1901.993, 2786.322, 3368.687]
 
TE Mistunings (cents)
<0.022, 0.038, 0.009, -0.139]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.723799
Adjusted Error 0.083445 cents
TE Error 0.029724 cents/octave

Ennealimmal (270 & 99e)

Equal Temperament Mappings
235711
[<270428627758934]
<99157230278343]>
 
Reduced Mapping
235711
[<915222637]
<0-2-3-2-16]>
 
TE Generator Tunings (cents)
<133.3229, 48.8616]
 
TE Step Tunings (cents)
<4.18570, 0.70472]
 
TE Tuning Map (cents)
<1199.906, 1902.121, 2786.519, 3368.673, 4151.163]
 
TE Mistunings (cents)
<-0.094, 0.166, 0.206, -0.153, -0.155]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 14.347856
Adjusted Error 0.279114 cents
TE Error 0.080682 cents/octave

Ennealimmic (72 & 270 & 99e)

Equal Temperament Mappings
235711
[<72114167202249]
<270428627758934]
<99157230278343]>
 
Reduced Mapping
235711
[<911120]
<02320]
<00001]>
 
TE Generator Tunings (cents)
<133.3357, 884.3288, 4151.3179]
 
TE Step Tunings (cents)
<2.23725, 3.65478, 0.52677]
 
TE Tuning Map (cents)
<1200.022, 1901.993, 2786.322, 3368.687, 4151.318]
 
TE Mistunings (cents)
<0.022, 0.038, 0.009, -0.139, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.488530
Adjusted Error 0.091972 cents
TE Error 0.026586 cents/octave

Ennealimmic (270 & 72 & 171)

Equal Temperament Mappings
23571113
[<270428627758934999]
<72114167202249266]
<171271397480592633]>
 
Reduced Mapping
23571113
[<911120-31]
<023205]
<000011]>
 
TE Generator Tunings (cents)
<133.3276, 884.3660, 4151.5679]
 
TE Step Tunings (cents)
<3.60698, -0.06699, 1.35022]
 
TE Tuning Map (cents)
<1199.949, 1902.060, 2786.426, 3368.664, 4151.568, 4440.242]
 
TE Mistunings (cents)
<-0.051, 0.105, 0.112, -0.162, 0.250, -0.286]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.685706
Adjusted Error 0.233383 cents
TE Error 0.063069 cents/octave

Ennealimnic (72 & 99e)

Equal Temperament Mappings
235711
[<72114167202249]
<99157230278343]>
 
Reduced Mapping
235711
[<915222633]
<0-2-3-2-5]>
 
TE Generator Tunings (cents)
<133.3514, 49.4015]
 
TE Step Tunings (cents)
<10.01058, 4.84244]
 
TE Tuning Map (cents)
<1200.163, 1901.469, 2785.527, 3368.335, 4153.590]
 
TE Mistunings (cents)
<0.163, -0.486, -0.786, -0.491, 2.272]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.792622
Adjusted Error 1.292073 cents
TE Error 0.373493 cents/octave

Ennealimnic (72 & 99ef)

Equal Temperament Mappings
23571113
[<72114167202249266]
<99157230278343367]>
 
Reduced Mapping
23571113
[<91522263337]
<0-2-3-2-5-10]>
 
TE Generator Tunings (cents)
<133.3468, 49.3464]
 
TE Step Tunings (cents)
<9.42267, 5.26958]
 
TE Tuning Map (cents)
<1200.121, 1901.509, 2785.591, 3368.324, 4153.713, 4440.368]
 
TE Mistunings (cents)
<0.121, -0.446, -0.723, -0.502, 2.395, -0.159]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.347484
Adjusted Error 1.267325 cents
TE Error 0.342480 cents/octave

Enneaportent (72 & 9)

Equal Temperament Mappings
235711
[<72114167202249]
<914212531]>
 
Reduced Mapping
235711
[<914212531]
<02-121]>
 
TE Generator Tunings (cents)
<133.4072, 16.8633]
 
TE Step Tunings (cents)
<16.86335, -1.49958]
 
TE Tuning Map (cents)
<1200.665, 1901.428, 2784.688, 3368.907, 4152.487]
 
TE Mistunings (cents)
<0.665, -0.527, -1.626, 0.081, 1.169]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.240527
Adjusted Error 1.664828 cents
TE Error 0.481243 cents/octave

Enneaportent (72 & 9)

Equal Temperament Mappings
23571113
[<72114167202249266]
<91421253133]>
 
Reduced Mapping
23571113
[<91421253133]
<02-1212]>
 
TE Generator Tunings (cents)
<133.4247, 16.9650]
 
TE Step Tunings (cents)
<16.96501, -2.29543]
 
TE Tuning Map (cents)
<1200.822, 1901.875, 2784.953, 3369.547, 4153.130, 4436.944]
 
TE Mistunings (cents)
<0.822, -0.080, -1.361, 0.721, 1.812, -3.583]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.818699
Adjusted Error 2.290939 cents
TE Error 0.619099 cents/octave

Erato (31 & 12 & 19p)

Equal Temperament Mappings
235711
[<31497287107]
<1219283442]
<1930445366]>
 
Reduced Mapping
235711
[<10-4-130]
<014100]
<00001]>
 
TE Generator Tunings (cents)
<1201.2422, 1898.4580, 4151.3179]
 
TE Step Tunings (cents)
<31.97721, 1.46038, 10.12759]
 
TE Tuning Map (cents)
<1201.242, 1898.458, 2788.863, 3368.432, 4151.318]
 
TE Mistunings (cents)
<1.242, -3.497, 2.550, -0.394, 0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.139617
Adjusted Error 4.275290 cents
TE Error 1.235836 cents/octave

Erato (31 & 12f & 19p)

Equal Temperament Mappings
23571113
[<31497287107115]
<121928344245]
<193044536670]>
 
Reduced Mapping
23571113
[<10-4-130-20]
<01410015]
<000010]>
 
TE Generator Tunings (cents)
<1201.6315, 1898.5660, 4151.3179]
 
TE Step Tunings (cents)
<30.28950, -6.47856, 17.91578]
 
TE Tuning Map (cents)
<1201.631, 1898.566, 2787.738, 3364.451, 4151.318, 4445.861]
 
TE Mistunings (cents)
<1.631, -3.389, 1.425, -4.375, -0.000, 5.334]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.155952
Adjusted Error 5.258362 cents
TE Error 1.421010 cents/octave

Eris (31 & 224)

Equal Temperament Mappings
235711
[<31497287107]
<224355520629775]>
 
Reduced Mapping
235711
[<1100620]
<0-298-11-57]>
 
TE Generator Tunings (cents)
<1200.0220, 348.2255]
 
TE Step Tunings (cents)
<1.08829, 5.20663]
 
TE Tuning Map (cents)
<1200.022, 1901.680, 2785.804, 3369.651, 4151.585]
 
TE Mistunings (cents)
<0.022, -0.275, -0.510, 0.825, 0.267]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.775038
Adjusted Error 0.640096 cents
TE Error 0.185029 cents/octave

Eros (31 & 46 & 29)

Equal Temperament Mappings
23571113
[<31497287107115]
<4673107129159170]
<29466781100107]>
 
Reduced Mapping
23571113
[<101327]
<01101-2]
<004322]>
 
TE Generator Tunings (cents)
<1200.6458, 1902.5247, -78.6566]
 
TE Step Tunings (cents)
<13.88622, 12.94092, 6.03071]
 
TE Tuning Map (cents)
<1200.646, 1902.525, 2788.544, 3365.967, 4146.503, 4442.158]
 
TE Mistunings (cents)
<0.646, 0.570, 2.230, -2.858, -4.815, 1.630]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.226666
Adjusted Error 3.253024 cents
TE Error 0.879091 cents/octave

Eros (46 & 31 & 29g)

Equal Temperament Mappings
2357111317
[<4673107129159170188]
<31497287107115127]
<29466781100107118]>
 
Reduced Mapping
2357111317
[<1013276]
<01101-2-1]
<0043225]>
 
TE Generator Tunings (cents)
<1200.6213, 1902.7264, -78.7966]
 
TE Step Tunings (cents)
<13.19453, 12.54235, 7.06415]
 
TE Tuning Map (cents)
<1200.621, 1902.726, 2788.161, 3365.474, 4146.376, 4441.304, 4907.019]
 
TE Mistunings (cents)
<0.621, 0.771, 1.848, -3.352, -4.942, 0.776, 2.063]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.220878
Adjusted Error 3.461810 cents
TE Error 0.846934 cents/octave

Eros (31 & 29g & 46p)

Equal Temperament Mappings
235711131719
[<31497287107115127132]
<29466781100107118123]
<4673107129159170188195]>
 
Reduced Mapping
235711131719
[<10132769]
<01101-2-1-3]
<00432250]>
 
TE Generator Tunings (cents)
<1200.6266, 1902.7249, -78.8007]
 
TE Step Tunings (cents)
<12.58700, 7.10804, 13.13688]
 
TE Tuning Map (cents)
<1200.627, 1902.725, 2788.149, 3365.478, 4146.377, 4441.335, 4907.031, 5097.464]
 
TE Mistunings (cents)
<0.627, 0.770, 1.835, -3.348, -4.941, 0.807, 2.075, -0.049]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.258670
Adjusted Error 3.365443 cents
TE Error 0.792255 cents/octave

Eros (46p & 29g & 31)

Equal Temperament Mappings
23571113171923
[<4673107129159170188195208]
<29466781100107118123131]
<31497287107115127132140]>
 
Reduced Mapping
23571113171923
[<101327693]
<01101-2-1-31]
<004322501]>
 
TE Generator Tunings (cents)
<1200.7312, 1902.9800, -78.8827]
 
TE Step Tunings (cents)
<13.11959, 7.69535, 12.06662]
 
TE Tuning Map (cents)
<1200.731, 1902.980, 2788.180, 3365.545, 4146.677, 4441.393, 4906.994, 5097.640, 5426.291]
 
TE Mistunings (cents)
<0.731, 1.025, 1.867, -3.280, -4.641, 0.865, 2.038, 0.127, -1.984]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.241926
Adjusted Error 3.458487 cents
TE Error 0.764550 cents/octave

Escapade (65 & 152)

Equal Temperament Mappings
235
[<65103151]
<152241353]>
 
Reduced Mapping
235
[<122]
<0-97]>
 
TE Generator Tunings (cents)
<1199.8082, 55.2840]
 
TE Step Tunings (cents)
<4.51155, 5.96419]
 
TE Tuning Map (cents)
<1199.808, 1902.060, 2786.605]
 
TE Mistunings (cents)
<-0.192, 0.105, 0.291]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.604625
Adjusted Error 0.319725 cents
TE Error 0.137698 cents/octave

Escapade (22 & 43)

Equal Temperament Mappings
2357
[<22355162]
<4368100121]>
 
Reduced Mapping
2357
[<1223]
<0-97-4]>
 
TE Generator Tunings (cents)
<1198.9997, 55.2812]
 
TE Step Tunings (cents)
<20.90832, 17.18643]
 
TE Tuning Map (cents)
<1199.000, 1900.469, 2784.968, 3375.874]
 
TE Mistunings (cents)
<-1.000, -1.486, -1.346, 7.048]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.132455
Adjusted Error 4.097116 cents
TE Error 1.459422 cents/octave

Escaped (22 & 87)

Equal Temperament Mappings
2357
[<22355162]
<87138202244]>
 
Reduced Mapping
2357
[<1224]
<0-97-26]>
 
TE Generator Tunings (cents)
<1199.9207, 55.1186]
 
TE Step Tunings (cents)
<4.36109, 12.68939]
 
TE Tuning Map (cents)
<1199.921, 1903.774, 2785.672, 3366.598]
 
TE Mistunings (cents)
<-0.079, 1.819, -0.642, -2.228]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.784514
Adjusted Error 1.999443 cents
TE Error 0.712216 cents/octave

Essence (58 & 190)

Equal Temperament Mappings
235711
[<5892135163201]
<190301441533657]>
 
Reduced Mapping
235711
[<2-1-9-5-9]
<011362842]>
 
TE Generator Tunings (cents)
<600.0989, 227.4387]
 
TE Step Tunings (cents)
<3.11389, 5.36628]
 
TE Tuning Map (cents)
<1200.198, 1901.726, 2786.902, 3367.788, 4151.534]
 
TE Mistunings (cents)
<0.198, -0.229, 0.588, -1.038, 0.216]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.517691
Adjusted Error 0.795864 cents
TE Error 0.230056 cents/octave

Essence (58 & 190)

Equal Temperament Mappings
23571113
[<5892135163201215]
<190301441533657703]>
 
Reduced Mapping
23571113
[<2-1-9-5-9-7]
<01136284238]>
 
TE Generator Tunings (cents)
<600.0807, 227.4286]
 
TE Step Tunings (cents)
<2.81352, 5.45777]
 
TE Tuning Map (cents)
<1200.161, 1901.634, 2786.704, 3367.598, 4151.275, 4441.722]
 
TE Mistunings (cents)
<0.161, -0.321, 0.390, -1.228, -0.043, 1.195]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.654716
Adjusted Error 0.944738 cents
TE Error 0.255304 cents/octave

Eugene (15 & 12e)

Equal Temperament Mappings
235711
[<1524354252]
<1219283441]>
 
Reduced Mapping
235711
[<357811]
<0-102-3]>
 
TE Generator Tunings (cents)
<399.1943, 85.6766]
 
TE Step Tunings (cents)
<56.48782, 29.18880]
 
TE Tuning Map (cents)
<1197.583, 1910.295, 2794.360, 3364.908, 4134.108]
 
TE Mistunings (cents)
<-2.417, 8.340, 8.047, -3.918, -17.210]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.665120
Adjusted Error 13.149191 cents
TE Error 3.800969 cents/octave

Euterpe (31 & 12 & 14c)

Equal Temperament Mappings
235711
[<31497287107]
<1219283442]
<1422323948]>
 
Reduced Mapping
235711
[<10-401]
<0140-2]
<00012]>
 
TE Generator Tunings (cents)
<1201.2821, 1898.2241, 3372.0269]
 
TE Step Tunings (cents)
<32.76447, 7.93679, 6.45301]
 
TE Tuning Map (cents)
<1201.282, 1898.224, 2787.768, 3372.027, 4148.888]
 
TE Mistunings (cents)
<1.282, -3.731, 1.454, 3.201, -2.430]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.131905
Adjusted Error 4.735930 cents
TE Error 1.368991 cents/octave

Fantastic (72 & 22 & 12)

Equal Temperament Mappings
235711
[<72114167202249]
<2235516276]
<1219283442]>
 
Reduced Mapping
235711
[<200-10-7]
<01020]
<00123]>
 
TE Generator Tunings (cents)
<600.2901, 1901.5430, 2784.6434]
 
TE Step Tunings (cents)
<15.46126, 3.74697, 0.41131]
 
TE Tuning Map (cents)
<1200.580, 1901.543, 2784.643, 3369.472, 4151.900]
 
TE Mistunings (cents)
<0.580, -0.412, -1.670, 0.646, 0.582]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.235104
Adjusted Error 1.549333 cents
TE Error 0.447858 cents/octave

Fasum (53 & 67p)

Equal Temperament Mappings
23513
[<5384123196]
<67106156248]>
 
Reduced Mapping
23513
[<1-2128]
<010-27-12]>
 
TE Generator Tunings (cents)
<1200.2713, 430.2487]
 
TE Step Tunings (cents)
<20.15300, 1.97257]
 
TE Tuning Map (cents)
<1200.271, 1901.945, 2786.540, 4439.186]
 
TE Mistunings (cents)
<0.271, -0.010, 0.227, -1.342]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.464096
Adjusted Error 0.857234 cents
TE Error 0.231657 cents/octave

Father (3 & 5)

Equal Temperament Mappings
235
[<357]
<5812]>
 
Reduced Mapping
235
[<122]
<0-11]>
 
TE Generator Tunings (cents)
<1181.3029, 448.9085]
 
TE Step Tunings (cents)
<118.06310, 165.42272]
 
TE Tuning Map (cents)
<1181.303, 1913.697, 2811.514]
 
TE Mistunings (cents)
<-18.697, 11.742, 25.201]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.442834
Adjusted Error 30.636037 cents
TE Error 13.194223 cents/octave

Father (5 & 3d)

Equal Temperament Mappings
2357
[<581214]
<3579]>
 
Reduced Mapping
2357
[<1224]
<0-11-3]>
 
TE Generator Tunings (cents)
<1181.0653, 450.7714]
 
TE Step Tunings (cents)
<171.24892, 108.27359]
 
TE Tuning Map (cents)
<1181.065, 1911.359, 2812.902, 3371.947]
 
TE Mistunings (cents)
<-18.935, 9.404, 26.588, 3.121]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.584293
Adjusted Error 32.195608 cents
TE Error 11.468307 cents/octave

Fermionic (130 & 156e)

Equal Temperament Mappings
23571113
[<130206302365450481]
<156247362438539577]>
 
Reduced Mapping
23571113
[<264160738996]
<012051]>
 
TE Generator Tunings (cents)
<46.1573, 8.7307]
 
TE Step Tunings (cents)
<6.22686, 2.50384]
 
TE Tuning Map (cents)
<1200.090, 1901.181, 2786.901, 3369.485, 4151.655, 4439.834]
 
TE Mistunings (cents)
<0.090, -0.774, 0.587, 0.659, 0.337, -0.694]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.370455
Adjusted Error 0.967711 cents
TE Error 0.261512 cents/octave

Ferrier (15 & 5e)

Equal Temperament Mappings
235711
[<1524354252]
<58121418]>
 
Reduced Mapping
235711
[<58121418]
<00-10-2]>
 
TE Generator Tunings (cents)
<239.4094, 81.7287]
 
TE Step Tunings (cents)
<81.72871, -5.77672]
 
TE Tuning Map (cents)
<1197.047, 1915.275, 2791.184, 3351.732, 4145.912]
 
TE Mistunings (cents)
<-2.953, 13.320, 4.871, -17.094, -5.406]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.260419
Adjusted Error 17.176938 cents
TE Error 4.965249 cents/octave

Fervor (27e & 2)

Equal Temperament Mappings
235711
[<2743637694]
<23567]>
 
Reduced Mapping
235711
[<14-2-23]
<0-59101]>
 
TE Generator Tunings (cents)
<1195.4439, 575.6559]
 
TE Step Tunings (cents)
<44.13213, 1.93818]
 
TE Tuning Map (cents)
<1195.444, 1903.496, 2790.015, 3365.671, 4161.988]
 
TE Mistunings (cents)
<-4.556, 1.541, 3.701, -3.155, 10.670]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.600856
Adjusted Error 9.155422 cents
TE Error 2.646511 cents/octave

Fervor (27e & 2f)

Equal Temperament Mappings
23571113
[<2743637694100]
<235678]>
 
Reduced Mapping
23571113
[<14-2-23-4]
<0-5910116]>
 
TE Generator Tunings (cents)
<1195.6630, 575.9712]
 
TE Step Tunings (cents)
<43.72052, 7.60448]
 
TE Tuning Map (cents)
<1195.663, 1902.796, 2792.415, 3368.386, 4162.960, 4432.888]
 
TE Mistunings (cents)
<-4.337, 0.841, 6.101, -0.440, 11.642, -7.640]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.694632
Adjusted Error 9.744740 cents
TE Error 2.633401 cents/octave

Festival (12 & 14c & 10p)

Equal Temperament Mappings
235711
[<1219283442]
<1422323948]
<1016232835]>
 
Reduced Mapping
235711
[<2001-4]
<01002]
<00111]>
 
TE Generator Tunings (cents)
<600.8749, 1896.3869, 2775.3068]
 
TE Step Tunings (cents)
<48.97726, 41.54332, 3.24162]
 
TE Tuning Map (cents)
<1201.750, 1896.387, 2775.307, 3376.182, 4164.581]
 
TE Mistunings (cents)
<1.750, -5.568, -11.007, 7.356, 13.263]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.100777
Adjusted Error 11.927682 cents
TE Error 3.447873 cents/octave

Fibo (103 & 140)

Equal Temperament Mappings
235711
[<103163239289356]
<140222325393484]>
 
Reduced Mapping
235711
[<1198108]
<0-46-15-19-12]>
 
TE Generator Tunings (cents)
<1200.4067, 454.4716]
 
TE Step Tunings (cents)
<4.47153, 5.28456]
 
TE Tuning Map (cents)
<1200.407, 1902.033, 2786.179, 3369.106, 4149.594]
 
TE Mistunings (cents)
<0.407, 0.078, -0.134, 0.280, -1.724]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.232107
Adjusted Error 1.013822 cents
TE Error 0.293060 cents/octave

Fibo (103 & 140)

Equal Temperament Mappings
23571113
[<103163239289356381]
<140222325393484518]>
 
Reduced Mapping
23571113
[<11981089]
<0-46-15-19-12-14]>
 
TE Generator Tunings (cents)
<1200.3732, 454.4578]
 
TE Step Tunings (cents)
<4.30784, 5.40476]
 
TE Tuning Map (cents)
<1200.373, 1902.034, 2786.119, 3369.034, 4149.492, 4440.950]
 
TE Mistunings (cents)
<0.373, 0.078, -0.195, 0.209, -1.826, 0.422]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.551973
Adjusted Error 1.008637 cents
TE Error 0.272572 cents/octave

Fifive (34 & 60)

Equal Temperament Mappings
235
[<345479]
<6095139]>
 
Reduced Mapping
235
[<223]
<057]>
 
TE Generator Tunings (cents)
<600.0173, 140.6277]
 
TE Step Tunings (cents)
<18.71076, 9.39781]
 
TE Tuning Map (cents)
<1200.035, 1903.173, 2784.446]
 
TE Mistunings (cents)
<0.035, 1.218, -1.868]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.910433
Adjusted Error 1.492195 cents
TE Error 0.642653 cents/octave

Fifives (26 & 60)

Equal Temperament Mappings
2357
[<26416073]
<6095139168]>
 
Reduced Mapping
2357
[<2237]
<057-6]>
 
TE Generator Tunings (cents)
<600.9338, 140.1267]
 
TE Step Tunings (cents)
<2.73484, 18.84603]
 
TE Tuning Map (cents)
<1201.868, 1902.501, 2783.688, 3365.776]
 
TE Mistunings (cents)
<1.868, 0.546, -2.625, -3.050]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.413955
Adjusted Error 3.456893 cents
TE Error 1.231370 cents/octave

Fifives (34 & 8)

Equal Temperament Mappings
23511
[<345479118]
<8131928]>
 
Reduced Mapping
23511
[<2236]
<0574]>
 
TE Generator Tunings (cents)
<599.3177, 140.7817]
 
TE Step Tunings (cents)
<36.19086, -3.98172]
 
TE Tuning Map (cents)
<1198.635, 1902.544, 2783.425, 4159.033]
 
TE Mistunings (cents)
<-1.365, 0.589, -2.889, 7.715]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.641390
Adjusted Error 5.049334 cents
TE Error 1.459585 cents/octave

Fifives (34 & 8)

Equal Temperament Mappings
2351113
[<345479118126]
<813192830]>
 
Reduced Mapping
2351113
[<22366]
<05746]>
 
TE Generator Tunings (cents)
<599.3154, 140.7816]
 
TE Step Tunings (cents)
<36.18894, -3.97413]
 
TE Tuning Map (cents)
<1198.631, 1902.539, 2783.418, 4159.019, 4440.582]
 
TE Mistunings (cents)
<-1.369, 0.584, -2.896, 7.701, 0.055]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.368519
Adjusted Error 4.830973 cents
TE Error 1.305513 cents/octave

Fifthplus (171 & 22)

Equal Temperament Mappings
2357
[<171271397480]
<22355162]>
 
Reduced Mapping
2357
[<111-320]
<0-2313-42]>
 
TE Generator Tunings (cents)
<1200.0934, 491.2643]
 
TE Step Tunings (cents)
<6.97449, 0.33888]
 
TE Tuning Map (cents)
<1200.093, 1901.948, 2786.156, 3368.767]
 
TE Mistunings (cents)
<0.093, -0.007, -0.158, -0.059]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.989098
Adjusted Error 0.164929 cents
TE Error 0.058749 cents/octave

Flat (4 & 3p)

Equal Temperament Mappings
2357
[<46911]
<3578]>
 
Reduced Mapping
2357
[<1123]
<021-1]>
 
TE Generator Tunings (cents)
<1221.0611, 337.7412]
 
TE Step Tunings (cents)
<207.83736, 129.90388]
 
TE Tuning Map (cents)
<1221.061, 1896.544, 2779.863, 3325.442]
 
TE Mistunings (cents)
<21.061, -5.411, -6.450, -43.384]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.593321
Adjusted Error 37.184446 cents
TE Error 13.245367 cents/octave

Flattone (19 & 26)

Equal Temperament Mappings
2357
[<19304453]
<26416073]>
 
Reduced Mapping
2357
[<124-1]
<0-1-49]>
 
TE Generator Tunings (cents)
<1203.6458, 507.7589]
 
TE Step Tunings (cents)
<38.37218, 18.25286]
 
TE Tuning Map (cents)
<1203.646, 1899.533, 2783.547, 3366.184]
 
TE Mistunings (cents)
<3.646, -2.422, -2.766, -2.642]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.828956
Adjusted Error 5.944067 cents
TE Error 2.117319 cents/octave

Flattone (7p & 19p)

Equal Temperament Mappings
235711
[<711162024]
<1930445366]>
 
Reduced Mapping
235711
[<124-16]
<0-1-49-6]>
 
TE Generator Tunings (cents)
<1202.3659, 507.8733]
 
TE Step Tunings (cents)
<30.66578, 51.98449]
 
TE Tuning Map (cents)
<1202.366, 1896.858, 2777.970, 3368.494, 4166.955]
 
TE Mistunings (cents)
<2.366, -5.097, -8.343, -0.332, 15.637]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.812780
Adjusted Error 10.862374 cents
TE Error 3.139930 cents/octave

Flattone (7p & 19p)

Equal Temperament Mappings
23571113
[<71116202426]
<193044536670]>
 
Reduced Mapping
23571113
[<124-162]
<0-1-49-64]>
 
TE Generator Tunings (cents)
<1202.5577, 508.0227]
 
TE Step Tunings (cents)
<31.97044, 51.51393]
 
TE Tuning Map (cents)
<1202.558, 1897.093, 2778.140, 3369.647, 4167.210, 4437.206]
 
TE Mistunings (cents)
<2.558, -4.862, -8.174, 0.821, 15.892, -3.321]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.719377
Adjusted Error 10.718452 cents
TE Error 2.896535 cents/octave

Fleetwood (22 & 4e)

Equal Temperament Mappings
235711
[<2235516276]
<4691113]>
 
Reduced Mapping
235711
[<256711]
<0-4-3-3-9]>
 
TE Generator Tunings (cents)
<599.6223, 272.7899]
 
TE Step Tunings (cents)
<54.04257, 2.57701]
 
TE Tuning Map (cents)
<1199.245, 1906.952, 2779.364, 3378.987, 4140.737]
 
TE Mistunings (cents)
<-0.755, 4.997, -6.949, 10.161, -10.581]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.948675
Adjusted Error 10.017260 cents
TE Error 2.895637 cents/octave

Fleetwood (22p & 18ddde)

Equal Temperament Mappings
23571113
[<223551627681]
<182942496367]>
 
Reduced Mapping
23571113
[<256-31111]
<0-4-319-9-8]>
 
TE Generator Tunings (cents)
<599.9480, 272.0893]
 
TE Step Tunings (cents)
<49.01132, 6.75816]
 
TE Tuning Map (cents)
<1199.896, 1911.383, 2783.420, 3369.852, 4150.625, 4422.714]
 
TE Mistunings (cents)
<-0.104, 9.428, -2.893, 1.026, -0.693, -17.813]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.570109
Adjusted Error 11.730533 cents
TE Error 3.170038 cents/octave

Fluorine (9 & 2cdd)

Equal Temperament Mappings
2357
[<9142125]
<2347]>
 
Reduced Mapping
2357
[<125-3]
<0-1-613]>
 
TE Generator Tunings (cents)
<1206.5806, 538.0372]
 
TE Step Tunings (cents)
<130.50615, 16.01260]
 
TE Tuning Map (cents)
<1206.581, 1875.124, 2804.680, 3374.742]
 
TE Mistunings (cents)
<6.581, -26.831, 18.366, 5.916]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.632061
Adjusted Error 27.963985 cents
TE Error 9.960972 cents/octave

Foreboding (31 & 15 & 41)

Equal Temperament Mappings
23571113
[<31497287107115]
<152435425256]
<416595115142152]>
 
Reduced Mapping
23571113
[<110351]
<030-142]
<0010-11]>
 
TE Generator Tunings (cents)
<1200.2334, 233.4118, 2782.8836]
 
TE Step Tunings (cents)
<13.36558, -1.75036, 19.80868]
 
TE Tuning Map (cents)
<1200.233, 1900.469, 2782.884, 3367.288, 4151.931, 4449.941]
 
TE Mistunings (cents)
<0.233, -1.486, -3.430, -1.538, 0.613, 9.413]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.163292
Adjusted Error 4.757609 cents
TE Error 1.285688 cents/octave

Fortune (2513 & 612)

Equal Temperament Mappings
235
[<251339835835]
<6129701421]>
 
Reduced Mapping
235
[<1-111]
<014-47]>
 
TE Generator Tunings (cents)
<1200.0016, 221.5682]
 
TE Step Tunings (cents)
<0.44577, 0.13037]
 
TE Tuning Map (cents)
<1200.002, 1901.953, 2786.313]
 
TE Mistunings (cents)
<0.002, -0.002, -0.001]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 12.170501
Adjusted Error 0.002764 cents
TE Error 0.001190 cents/octave

Freivald (24p & 37)

Equal Temperament Mappings
23571113
[<243856678389]
<375986104128137]>
 
Reduced Mapping
23571113
[<1-36-536]
<010-8171-5]>
 
TE Generator Tunings (cents)
<1198.7891, 550.3503]
 
TE Step Tunings (cents)
<16.45362, 21.72709]
 
TE Tuning Map (cents)
<1198.789, 1907.136, 2789.932, 3362.010, 4146.718, 4440.983]
 
TE Mistunings (cents)
<-1.211, 5.181, 3.619, -6.816, -4.600, 0.455]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.654418
Adjusted Error 7.127194 cents
TE Error 1.926040 cents/octave

Freya (270 & 342 & 31)

Equal Temperament Mappings
235711
[<270428627758934]
<3425427949601183]
<31497287107]>
 
Reduced Mapping
235711
[<11332]
<02321]
<0042-3]>
 
TE Generator Tunings (cents)
<1200.0491, 350.9820, -466.6977]
 
TE Step Tunings (cents)
<1.45508, 2.37963, -0.21476]
 
TE Tuning Map (cents)
<1200.049, 1902.013, 2786.302, 3368.716, 4151.173]
 
TE Mistunings (cents)
<0.049, 0.058, -0.011, -0.110, -0.145]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.350839
Adjusted Error 0.130007 cents
TE Error 0.037580 cents/octave

Freya (270 & 311 & 301)

Equal Temperament Mappings
23571113
[<270428627758934999]
<31149372287310761151]
<30147769984510411114]>
 
Reduced Mapping
23571113
[<113324]
<02321-9]
<0042-3-6]>
 
TE Generator Tunings (cents)
<1199.9870, 351.0502, -466.6900]
 
TE Step Tunings (cents)
<1.85059, 1.39606, 0.88423]
 
TE Tuning Map (cents)
<1199.987, 1902.087, 2786.352, 3368.681, 4151.094, 4440.636]
 
TE Mistunings (cents)
<-0.013, 0.132, 0.038, -0.145, -0.224, 0.108]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.818233
Adjusted Error 0.185676 cents
TE Error 0.050177 cents/octave

Frigg (270 & 58 & 373)

Equal Temperament Mappings
23571113
[<270428627758934999]
<5892135163201215]
<373591866104712901380]>
 
Reduced Mapping
23571113
[<113345]
<023243]
<001051114]>
 
TE Generator Tunings (cents)
<1200.0387, 350.9502, -186.6322]
 
TE Step Tunings (cents)
<2.46947, 0.46446, 1.35749]
 
TE Tuning Map (cents)
<1200.039, 1901.939, 2786.645, 3368.856, 4151.001, 4440.193]
 
TE Mistunings (cents)
<0.039, -0.016, 0.331, 0.030, -0.317, -0.334]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.676451
Adjusted Error 0.296676 cents
TE Error 0.080173 cents/octave

Gallium (31 & 31f)

Equal Temperament Mappings
23571113
[<31497287107115]
<31497287107114]>
 
Reduced Mapping
23571113
[<31497287107115]
<00000-1]>
 
TE Generator Tunings (cents)
<38.7486, 15.5566]
 
TE Step Tunings (cents)
<23.19198, 15.55658]
 
TE Tuning Map (cents)
<1201.205, 1898.679, 2789.896, 3371.125, 4146.096, 4440.528]
 
TE Mistunings (cents)
<1.205, -3.276, 3.583, 2.299, -5.222, -0.000]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.118931
Adjusted Error 5.022641 cents
TE Error 1.357309 cents/octave

Gamel (31 & 41 & 5e)

Equal Temperament Mappings
235711
[<31497287107]
<416595115142]
<58121418]>
 
Reduced Mapping
235711
[<1103-1]
<030-111]
<00101]>
 
TE Generator Tunings (cents)
<1200.6471, 233.4167, 2785.7134]
 
TE Step Tunings (cents)
<18.27576, 15.28759, 1.46146]
 
TE Tuning Map (cents)
<1200.647, 1900.897, 2785.713, 3368.525, 4152.651]
 
TE Mistunings (cents)
<0.647, -1.058, -0.600, -0.301, 1.333]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.244216
Adjusted Error 1.615807 cents
TE Error 0.467073 cents/octave

Gamelan (31 & 41 & 46)

Equal Temperament Mappings
2357
[<31497287]
<416595115]
<4673107129]>
 
Reduced Mapping
2357
[<1103]
<030-1]
<0010]>
 
TE Generator Tunings (cents)
<1200.4862, 233.7822, 2786.3137]
 
TE Step Tunings (cents)
<12.50212, 12.88714, 6.18582]
 
TE Tuning Map (cents)
<1200.486, 1901.833, 2786.314, 3367.676]
 
TE Mistunings (cents)
<0.486, -0.122, -0.000, -1.150]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.159340
Adjusted Error 0.898786 cents
TE Error 0.320154 cents/octave

Gamera (99 & 224)

Equal Temperament Mappings
2357
[<99157230278]
<224355520629]>
 
Reduced Mapping
2357
[<16103]
<0-23-40-1]>
 
TE Generator Tunings (cents)
<1199.8484, 230.3068]
 
TE Step Tunings (cents)
<4.74934, 3.25743]
 
TE Tuning Map (cents)
<1199.848, 1902.033, 2786.210, 3369.238]
 
TE Mistunings (cents)
<-0.152, 0.078, -0.103, 0.412]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.906094
Adjusted Error 0.310636 cents
TE Error 0.110651 cents/octave

Gammic (171 & 205)

Equal Temperament Mappings
235
[<171271397]
<205325476]>
 
Reduced Mapping
235
[<112]
<02011]>
 
TE Generator Tunings (cents)
<1200.0419, 35.0977]
 
TE Step Tunings (cents)
<5.23284, 1.48891]
 
TE Tuning Map (cents)
<1200.042, 1901.995, 2786.158]
 
TE Mistunings (cents)
<0.042, 0.040, -0.156]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.204356
Adjusted Error 0.111271 cents
TE Error 0.047922 cents/octave

Gammic (171 & 34d)

Equal Temperament Mappings
2357
[<171271397480]
<34547996]>
 
Reduced Mapping
2357
[<1120]
<0201196]>
 
TE Generator Tunings (cents)
<1200.0712, 35.0924]
 
TE Step Tunings (cents)
<6.92811, 0.45191]
 
TE Tuning Map (cents)
<1200.071, 1901.920, 2786.159, 3368.875]
 
TE Mistunings (cents)
<0.071, -0.035, -0.154, 0.049]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.101044
Adjusted Error 0.142316 cents
TE Error 0.050694 cents/octave

Ganesha (270 & 152 & 31)

Equal Temperament Mappings
235711
[<270428627758934]
<152241353427526]
<31497287107]>
 
Reduced Mapping
235711
[<100-22-9]
<01012]
<001104]>
 
TE Generator Tunings (cents)
<1199.9177, 1902.0945, 2786.4995]
 
TE Step Tunings (cents)
<3.88740, 0.92364, 0.32016]
 
TE Tuning Map (cents)
<1199.918, 1902.095, 2786.500, 3368.901, 4150.928]
 
TE Mistunings (cents)
<-0.082, 0.140, 0.186, 0.075, -0.390]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.356837
Adjusted Error 0.286717 cents
TE Error 0.082880 cents/octave

Garibaldi (41 & 53)

Equal Temperament Mappings
2357
[<416595115]
<5384123149]>
 
Reduced Mapping
2357
[<12-1-3]
<0-1814]>
 
TE Generator Tunings (cents)
<1200.1250, 497.9667]
 
TE Step Tunings (cents)
<10.51411, 14.51031]
 
TE Tuning Map (cents)
<1200.125, 1902.283, 2783.609, 3371.159]
 
TE Mistunings (cents)
<0.125, 0.328, -2.705, 2.333]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.340841
Adjusted Error 2.037206 cents
TE Error 0.725667 cents/octave

Garibaldi (41 & 53)

Equal Temperament Mappings
235711
[<416595115142]
<5384123149183]>
 
Reduced Mapping
235711
[<12-1-313]
<0-1814-23]>
 
TE Generator Tunings (cents)
<1200.3108, 497.9720]
 
TE Step Tunings (cents)
<14.32163, 11.56838]
 
TE Tuning Map (cents)
<1200.311, 1902.650, 2783.465, 3370.676, 4150.684]
 
TE Mistunings (cents)
<0.311, 0.695, -2.848, 1.850, -0.633]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.025735
Adjusted Error 2.326486 cents
TE Error 0.672505 cents/octave

Garibaldi (41 & 53)

Equal Temperament Mappings
23571113
[<416595115142152]
<5384123149183196]>
 
Reduced Mapping
23571113
[<12-1-31312]
<0-1814-23-20]>
 
TE Generator Tunings (cents)
<1200.1727, 497.9591]
 
TE Step Tunings (cents)
<11.96746, 13.38692]
 
TE Tuning Map (cents)
<1200.173, 1902.386, 2783.500, 3370.909, 4149.186, 4442.891]
 
TE Mistunings (cents)
<0.173, 0.431, -2.814, 2.083, -2.132, 2.363]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.232965
Adjusted Error 2.577287 cents
TE Error 0.696481 cents/octave

Gariberttet (4 & 9qrr)

Equal Temperament Mappings
25/37/313/11
[<4351]
<96102]>
 
Reduced Mapping
25/37/313/11
[<1000]
<0351]>
 
TE Generator Tunings (cents)
<1200.0000, 292.4181]
 
TE Step Tunings (cents)
<231.76332, 30.32741]
 
TE Tuning Map (cents)
<1200.000, 877.254, 1462.091, 292.418]
 
TE Mistunings (cents)
<0.000, -7.104, -4.780, 3.208]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 1.776901
Adjusted Error 10.326198 cents
TE Error 8.447531 cents/octave

Gidorah (5 & 1b)

Equal Temperament Mappings
2357
[<581214]
<1123]>
 
Reduced Mapping
2357
[<1123]
<032-1]>
 
TE Generator Tunings (cents)
<1193.2399, 229.4622]
 
TE Step Tunings (cents)
<229.46225, 45.92861]
 
TE Tuning Map (cents)
<1193.240, 1881.627, 2845.404, 3350.257]
 
TE Mistunings (cents)
<-6.760, -20.328, 59.090, -18.569]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.872852
Adjusted Error 42.147623 cents
TE Error 15.013286 cents/octave

Gizzard (72 & 94)

Equal Temperament Mappings
23571113
[<72114167202249266]
<94149218264325348]>
 
Reduced Mapping
23571113
[<21528-2]
<06-110-326]>
 
TE Generator Tunings (cents)
<600.2900, 216.9345]
 
TE Step Tunings (cents)
<9.00959, 5.87117]
 
TE Tuning Map (cents)
<1200.580, 1901.897, 2784.516, 3369.925, 4151.517, 4439.717]
 
TE Mistunings (cents)
<0.580, -0.058, -1.798, 1.099, 0.199, -0.811]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.702621
Adjusted Error 1.614450 cents
TE Error 0.436286 cents/octave

Glacial (6 & 13)

Equal Temperament Mappings
2951113
[<619142122]
<1341304548]>
 
Reduced Mapping
2951113
[<13234]
<0123-2]>
 
TE Generator Tunings (cents)
<1202.7334, 186.1510]
 
TE Step Tunings (cents)
<14.49651, 85.82726]
 
TE Tuning Map (cents)
<1202.733, 3794.351, 2777.769, 4166.653, 4438.632]
 
TE Mistunings (cents)
<2.733, -9.559, -8.545, 15.335, -1.896]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.534218
Adjusted Error 11.704229 cents
TE Error 3.162929 cents/octave

Glamour (19p & 3de)

Equal Temperament Mappings
23571113
[<193044536670]
<35791111]>
 
Reduced Mapping
23571113
[<102-104]
<0511211-1]>
 
TE Generator Tunings (cents)
<1202.3024, 379.8436]
 
TE Step Tunings (cents)
<62.77168, 3.21350]
 
TE Tuning Map (cents)
<1202.302, 1899.218, 2784.448, 3355.820, 4178.279, 4429.366]
 
TE Mistunings (cents)
<2.302, -2.737, -1.865, -13.006, 26.961, -11.162]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.788313
Adjusted Error 15.124191 cents
TE Error 4.087134 cents/octave

Godzilla (19 & 24)

Contorted Meantone (order 2)
 
Equal Temperament Mappings
235
[<193044]
<243856]>
 
Reduced Mapping
235
[<124]
<0-2-8]>
 
TE Generator Tunings (cents)
<1201.3969, 252.1739]
 
TE Step Tunings (cents)
<45.18863, 14.28387]
 
TE Tuning Map (cents)
<1201.397, 1898.446, 2788.196]
 
TE Mistunings (cents)
<1.397, -3.509, 1.883]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.421604
Adjusted Error 3.673804 cents
TE Error 1.582221 cents/octave

Godzilla (19 & 5)

Equal Temperament Mappings
2357
[<19304453]
<581214]>
 
Reduced Mapping
2357
[<1243]
<0-2-8-1]>
 
TE Generator Tunings (cents)
<1203.8528, 253.4461]
 
TE Step Tunings (cents)
<63.37782, -0.06516]
 
TE Tuning Map (cents)
<1203.853, 1900.813, 2787.842, 3358.112]
 
TE Mistunings (cents)
<3.853, -1.142, 1.529, -10.713]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.335513
Adjusted Error 7.734272 cents
TE Error 2.755003 cents/octave

Godzilla (14c & 5e)

Equal Temperament Mappings
235711
[<1422323948]
<58121418]>
 
Reduced Mapping
235711
[<12436]
<0-2-8-1-12]>
 
TE Generator Tunings (cents)
<1204.4719, 254.9740]
 
TE Step Tunings (cents)
<70.39817, 43.77952]
 
TE Tuning Map (cents)
<1204.472, 1898.996, 2778.096, 3358.442, 4167.143]
 
TE Mistunings (cents)
<4.472, -2.959, -8.218, -10.384, 15.825]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.481913
Adjusted Error 13.001171 cents
TE Error 3.758181 cents/octave

Godzilla (5e & 14cf)

Equal Temperament Mappings
23571113
[<5812141819]
<142232394851]>
 
Reduced Mapping
23571113
[<124366]
<0-2-8-1-12-11]>
 
TE Generator Tunings (cents)
<1204.4822, 254.5504]
 
TE Step Tunings (cents)
<49.74069, 68.26991]
 
TE Tuning Map (cents)
<1204.482, 1899.864, 2781.525, 3358.896, 4172.288, 4426.839]
 
TE Mistunings (cents)
<4.482, -2.091, -4.788, -9.930, 20.970, -13.689]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.432137
Adjusted Error 14.253851 cents
TE Error 3.851934 cents/octave

Gorgik (58 & 37)

Equal Temperament Mappings
235711
[<5892135163201]
<375986104128]>
 
Reduced Mapping
235711
[<15131]
<0-187-113]>
 
TE Generator Tunings (cents)
<1198.4647, 227.2086]
 
TE Step Tunings (cents)
<17.46364, 5.01550]
 
TE Tuning Map (cents)
<1198.465, 1902.570, 2788.925, 3368.186, 4152.176]
 
TE Mistunings (cents)
<-1.535, 0.615, 2.611, -0.640, 0.858]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.437073
Adjusted Error 3.049553 cents
TE Error 0.881518 cents/octave

Gorgik (58 & 37)

Equal Temperament Mappings
23571113
[<5892135163201215]
<375986104128137]>
 
Reduced Mapping
23571113
[<151312]
<0-187-1139]>
 
TE Generator Tunings (cents)
<1198.4046, 227.1909]
 
TE Step Tunings (cents)
<17.23092, 5.37868]
 
TE Tuning Map (cents)
<1198.405, 1902.587, 2788.741, 3368.023, 4151.886, 4441.527]
 
TE Mistunings (cents)
<-1.595, 0.632, 2.427, -0.803, 0.568, 0.999]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.125067
Adjusted Error 3.013343 cents
TE Error 0.814320 cents/octave

Gorgo (5 & 16)

Equal Temperament Mappings
2357
[<581214]
<16253745]>
 
Reduced Mapping
2357
[<1113]
<037-1]>
 
TE Generator Tunings (cents)
<1201.0993, 228.5428]
 
TE Step Tunings (cents)
<53.38679, 58.38534]
 
TE Tuning Map (cents)
<1201.099, 1886.728, 2800.899, 3374.755]
 
TE Mistunings (cents)
<1.099, -15.227, 14.585, 5.929]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.378885
Adjusted Error 16.455245 cents
TE Error 5.861476 cents/octave

Gorgo (5e & 16)

Equal Temperament Mappings
235711
[<58121418]
<1625374555]>
 
Reduced Mapping
235711
[<11131]
<037-113]>
 
TE Generator Tunings (cents)
<1201.4896, 227.6556]
 
TE Step Tunings (cents)
<38.02055, 63.21168]
 
TE Tuning Map (cents)
<1201.490, 1884.456, 2795.079, 3376.813, 4161.012]
 
TE Mistunings (cents)
<1.490, -17.499, 8.765, 7.987, 9.694]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.617285
Adjusted Error 19.218186 cents
TE Error 5.555302 cents/octave

Gorgo (5e & 16)

Equal Temperament Mappings
23571113
[<5812141819]
<162537455559]>
 
Reduced Mapping
23571113
[<111312]
<037-1139]>
 
TE Generator Tunings (cents)
<1201.2346, 227.4634]
 
TE Step Tunings (cents)
<35.71050, 63.91763]
 
TE Tuning Map (cents)
<1201.235, 1883.625, 2793.478, 3376.240, 4158.259, 4449.640]
 
TE Mistunings (cents)
<1.235, -18.330, 7.165, 7.415, 6.941, 9.112]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.504274
Adjusted Error 19.219791 cents
TE Error 5.193921 cents/octave

Gracecordial (125 & 113)

Equal Temperament Mappings
235711
[<125198290351432]
<113179262317391]>
 
Reduced Mapping
235711
[<12-6-1328]
<0-12038-59]>
 
TE Generator Tunings (cents)
<1200.5580, 499.3986]
 
TE Step Tunings (cents)
<5.81327, 4.19380]
 
TE Tuning Map (cents)
<1200.558, 1901.717, 2784.624, 3369.892, 4151.108]
 
TE Mistunings (cents)
<0.558, -0.238, -1.690, 1.066, -0.210]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.432514
Adjusted Error 1.556031 cents
TE Error 0.449794 cents/octave

Gracecordial (113 & 125f)

Equal Temperament Mappings
23571113
[<113179262317391418]
<125198290351432462]>
 
Reduced Mapping
23571113
[<12-6-132822]
<0-12038-59-44]>
 
TE Generator Tunings (cents)
<1200.6292, 499.4206]
 
TE Step Tunings (cents)
<5.13970, 4.95874]
 
TE Tuning Map (cents)
<1200.629, 1901.838, 2784.637, 3369.804, 4151.801, 4439.335]
 
TE Mistunings (cents)
<0.629, -0.117, -1.676, 0.978, 0.483, -1.193]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.647025
Adjusted Error 1.632274 cents
TE Error 0.441103 cents/octave

Gracecordial (113 & 12e)

Equal Temperament Mappings
2357111317
[<113179262317391418462]
<12192834414449]>
 
Reduced Mapping
2357111317
[<12-6-1328227]
<0-12038-59-44-7]>
 
TE Generator Tunings (cents)
<1200.5073, 499.3704]
 
TE Step Tunings (cents)
<10.09128, 5.01601]
 
TE Tuning Map (cents)
<1200.507, 1901.644, 2784.365, 3369.482, 4151.349, 4438.861, 4907.958]
 
TE Mistunings (cents)
<0.507, -0.311, -1.949, 0.656, 0.031, -1.666, 3.003]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.859629
Adjusted Error 2.071149 cents
TE Error 0.506708 cents/octave

Gracecordial (113 & 12e)

Equal Temperament Mappings
235711131719
[<113179262317391418462480]
<1219283441444951]>
 
Reduced Mapping
235711131719
[<12-6-13282273]
<0-12038-59-44-73]>
 
TE Generator Tunings (cents)
<1200.4435, 499.3426]
 
TE Step Tunings (cents)
<10.10615, 4.87070]
 
TE Tuning Map (cents)
<1200.443, 1901.544, 2784.191, 3369.254, 4151.204, 4438.682, 4907.706, 5099.358]
 
TE Mistunings (cents)
<0.443, -0.411, -2.122, 0.428, -0.114, -1.846, 2.751, 1.845]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.247279
Adjusted Error 2.131421 cents
TE Error 0.501756 cents/octave

Gracecordial (113 & 12e)

Equal Temperament Mappings
23571113171923
[<113179262317391418462480511]
<121928344144495154]>
 
Reduced Mapping
23571113171923
[<12-6-1328227317]
<0-12038-59-44-73-30]>
 
TE Generator Tunings (cents)
<1200.4658, 499.3503]
 
TE Step Tunings (cents)
<10.12505, 4.69458]
 
TE Tuning Map (cents)
<1200.466, 1901.581, 2784.212, 3369.257, 4151.373, 4438.833, 4907.808, 5099.448, 5427.409]
 
TE Mistunings (cents)
<0.466, -0.374, -2.102, 0.431, 0.055, -1.695, 2.853, 1.935, -0.866]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.892603
Adjusted Error 2.162569 cents
TE Error 0.478068 cents/octave

Gracecordial (113 & 12e)

Equal Temperament Mappings
2357111317192329
[<113179262317391418462480511549]
<12192834414449515458]>
 
Reduced Mapping
2357111317192329
[<12-6-132822731719]
<0-12038-59-44-73-30-34]>
 
TE Generator Tunings (cents)
<1200.4417, 499.3421]
 
TE Step Tunings (cents)
<10.10300, 4.90021]
 
TE Tuning Map (cents)
<1200.442, 1901.541, 2784.192, 3369.259, 4151.182, 4438.664, 4907.697, 5099.352, 5427.245, 5830.760]
 
TE Mistunings (cents)
<0.442, -0.414, -2.121, 0.433, -0.136, -1.864, 2.742, 1.839, -1.029, 1.183]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.586234
Adjusted Error 2.239524 cents
TE Error 0.460999 cents/octave

Gracecordial (113p & 12e)

Equal Temperament Mappings
235711131719232931
[<113179262317391418462480511549560]
<1219283441444951545859]>
 
Reduced Mapping
235711131719232931
[<12-6-13282273171927]
<0-12038-59-44-73-30-34-53]>
 
TE Generator Tunings (cents)
<1200.4196, 499.3364]
 
TE Step Tunings (cents)
<10.06190, 5.28539]
 
TE Tuning Map (cents)
<1200.420, 1901.503, 2784.209, 3369.326, 4150.905, 4438.432, 4907.583, 5099.268, 5427.043, 5830.537, 5946.503]
 
TE Mistunings (cents)
<0.420, -0.452, -2.104, 0.500, -0.413, -2.095, 2.628, 1.755, -1.231, 0.960, 1.468]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.542768
Adjusted Error 2.230799 cents
TE Error 0.450285 cents/octave

Grackle (12 & 77)

Equal Temperament Mappings
2357
[<12192834]
<77122179216]>
 
Reduced Mapping
2357
[<12-1-8]
<0-1826]>
 
TE Generator Tunings (cents)
<1199.7997, 498.6774]
 
TE Step Tunings (cents)
<4.56800, 14.86992]
 
TE Tuning Map (cents)
<1199.800, 1900.922, 2789.619, 3367.214]
 
TE Mistunings (cents)
<-0.200, -1.033, 3.306, -1.612]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.924477
Adjusted Error 2.357693 cents
TE Error 0.839827 cents/octave

Gravid (58 & 7d)

Equal Temperament Mappings
2357
[<5892135163]
<7111619]>
 
Reduced Mapping
2357
[<1-1-5-14]
<061739]>
 
TE Generator Tunings (cents)
<1199.3441, 516.8578]
 
TE Step Tunings (cents)
<19.97251, 5.84840]
 
TE Tuning Map (cents)
<1199.344, 1901.803, 2789.863, 3366.638]
 
TE Mistunings (cents)
<-0.656, -0.152, 3.549, -2.188]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.118588
Adjusted Error 2.581738 cents
TE Error 0.919634 cents/octave

Gravity (65 & 72)

Equal Temperament Mappings
235
[<65103151]
<72114167]>
 
Reduced Mapping
235
[<1-1-5]
<0617]>
 
TE Generator Tunings (cents)
<1200.1833, 516.9227]
 
TE Step Tunings (cents)
<12.75386, 5.15531]
 
TE Tuning Map (cents)
<1200.183, 1901.353, 2786.770]
 
TE Mistunings (cents)
<0.183, -0.602, 0.456]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.989113
Adjusted Error 0.623652 cents
TE Error 0.268592 cents/octave

Greeley (8 & 23)

Equal Temperament Mappings
25/37/311/3
[<861015]
<23172843]>
 
Reduced Mapping
25/37/311/3
[<1122]
<0-2-6-1]>
 
TE Generator Tunings (cents)
<1200.1723, 156.0779]
 
TE Step Tunings (cents)
<10.72638, 48.45049]
 
TE Tuning Map (cents)
<1200.172, 888.017, 1463.878, 2244.267]
 
TE Mistunings (cents)
<0.172, 3.658, -2.993, -5.096]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 1.943479
Adjusted Error 5.781580 cents
TE Error 3.084383 cents/octave

Green And Jadish-Bluish (7d & 19e & 5e)

Equal Temperament Mappings
235711
[<711161924]
<1930445365]
<58121418]>
 
Reduced Mapping
235711
[<10-40-8]
<01409]
<0001-1]>
 
TE Generator Tunings (cents)
<1201.3477, 1901.1610, 3360.6957]
 
TE Step Tunings (cents)
<-14.83977, 59.90796, 33.39497]
 
TE Tuning Map (cents)
<1201.348, 1901.161, 2799.253, 3360.696, 4138.972]
 
TE Mistunings (cents)
<1.348, -0.794, 12.940, -8.130, -12.346]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.130146
Adjusted Error 11.394765 cents
TE Error 3.293826 cents/octave

Green And Large Triple Blue Deep Yellow (19 & 2c)

Equal Temperament Mappings
2357
[<19304453]
<2346]>
 
Reduced Mapping
2357
[<138-1]
<0-3-128]>
 
TE Generator Tunings (cents)
<1204.2527, 570.8172]
 
TE Step Tunings (cents)
<62.61830, 7.25250]
 
TE Tuning Map (cents)
<1204.253, 1900.306, 2784.215, 3362.285]
 
TE Mistunings (cents)
<4.253, -1.649, -2.099, -6.541]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.904275
Adjusted Error 7.076086 cents
TE Error 2.520553 cents/octave

Green Deep Red And Reddish-Red (12 & 8cd)

Equal Temperament Mappings
2357
[<12192834]
<8131823]>
 
Reduced Mapping
2357
[<461011]
<01-21]>
 
TE Generator Tunings (cents)
<298.9983, 101.5586]
 
TE Step Tunings (cents)
<95.88116, 5.67740]
 
TE Tuning Map (cents)
<1195.993, 1895.548, 2786.866, 3390.540]
 
TE Mistunings (cents)
<-4.007, -6.407, 0.552, 21.714]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.255115
Adjusted Error 13.483705 cents
TE Error 4.802993 cents/octave

Greenland (270 & 72 & 130)

Equal Temperament Mappings
23571113
[<270428627758934999]
<72114167202249266]
<130206302365450481]>
 
Reduced Mapping
23571113
[<20137-1]
<0211-24]
<002132]>
 
TE Generator Tunings (cents)
<599.9868, 951.0539, 617.8062]
 
TE Step Tunings (cents)
<4.06424, 0.15280, 0.70482]
 
TE Tuning Map (cents)
<1199.974, 1902.108, 2786.653, 3368.820, 4151.218, 4439.841]
 
TE Mistunings (cents)
<-0.026, 0.153, 0.339, -0.005, -0.100, -0.686]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.406619
Adjusted Error 0.389866 cents
TE Error 0.105357 cents/octave

Greenwood (14c & 21p)

Equal Temperament Mappings
235711
[<1422323948]
<2133495973]>
 
Reduced Mapping
235711
[<711151923]
<00212]>
 
TE Generator Tunings (cents)
<172.0869, 100.5302]
 
TE Step Tunings (cents)
<42.58302, 28.97361]
 
TE Tuning Map (cents)
<1204.608, 1892.955, 2782.363, 3370.181, 4159.058]
 
TE Mistunings (cents)
<4.608, -9.000, -3.950, 1.355, 7.740]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.329799
Adjusted Error 12.143339 cents
TE Error 3.510212 cents/octave

Greenwood (14c & 21p)

Equal Temperament Mappings
23571113
[<142232394852]
<213349597378]>
 
Reduced Mapping
23571113
[<71115192326]
<002120]>
 
TE Generator Tunings (cents)
<171.6919, 104.4103]
 
TE Step Tunings (cents)
<30.15302, 37.12862]
 
TE Tuning Map (cents)
<1201.843, 1888.611, 2784.199, 3366.557, 4157.735, 4463.990]
 
TE Mistunings (cents)
<1.843, -13.344, -2.114, -2.269, 6.417, 23.462]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.327913
Adjusted Error 16.507610 cents
TE Error 4.460986 cents/octave

Grendel (31 & 152)

Equal Temperament Mappings
2357
[<31497287]
<152241353427]>
 
Reduced Mapping
2357
[<1927]
<0-231-13]>
 
TE Generator Tunings (cents)
<1199.7350, 386.7774]
 
TE Step Tunings (cents)
<3.14758, 7.25105]
 
TE Tuning Map (cents)
<1199.735, 1901.735, 2786.247, 3370.039]
 
TE Mistunings (cents)
<-0.265, -0.220, -0.066, 1.213]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.015477
Adjusted Error 0.738770 cents
TE Error 0.263155 cents/octave

Grendel (31 & 152)

Equal Temperament Mappings
235711
[<31497287107]
<152241353427526]>
 
Reduced Mapping
235711
[<192717]
<0-231-13-42]>
 
TE Generator Tunings (cents)
<1199.7357, 386.7733]
 
TE Step Tunings (cents)
<2.49161, 7.38484]
 
TE Tuning Map (cents)
<1199.736, 1901.836, 2786.245, 3370.097, 4151.029]
 
TE Mistunings (cents)
<-0.264, -0.119, -0.069, 1.271, -0.289]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.153355
Adjusted Error 0.830905 cents
TE Error 0.240185 cents/octave

Grendel (31 & 121)

Equal Temperament Mappings
23571113
[<31497287107115]
<121192281340419448]>
 
Reduced Mapping
23571113
[<192717-5]
<0-231-13-4227]>
 
TE Generator Tunings (cents)
<1199.4419, 386.6458]
 
TE Step Tunings (cents)
<5.91465, 8.39742]
 
TE Tuning Map (cents)
<1199.442, 1902.122, 2785.530, 3369.697, 4151.386, 4442.229]
 
TE Mistunings (cents)
<-0.558, 0.167, -0.784, 0.871, 0.068, 1.701]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.535278
Adjusted Error 1.303632 cents
TE Error 0.352291 cents/octave

Gross (1783 & 3684)

Equal Temperament Mappings
235
[<178328264140]
<368458398554]>
 
Reduced Mapping
235
[<1-24]
<047-22]>
 
TE Generator Tunings (cents)
<1199.9990, 91.5309]
 
TE Step Tunings (cents)
<0.20837, 0.22489]
 
TE Tuning Map (cents)
<1199.999, 1901.955, 2786.316]
 
TE Mistunings (cents)
<-0.001, 0.000, 0.002]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 16.667474
Adjusted Error 0.001788 cents
TE Error 0.000770 cents/octave

Grosstone (31 & 12p)

Equal Temperament Mappings
23571113
[<31497287107115]
<121928344244]>
 
Reduced Mapping
23571113
[<124711-3]
<0-1-4-10-1816]>
 
TE Generator Tunings (cents)
<1199.9495, 502.7151]
 
TE Step Tunings (cents)
<32.83388, 15.17495]
 
TE Tuning Map (cents)
<1199.950, 1897.184, 2788.938, 3372.495, 4150.572, 4443.593]
 
TE Mistunings (cents)
<-0.050, -4.771, 2.624, 3.669, -0.745, 3.066]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.003648
Adjusted Error 5.401098 cents
TE Error 1.459583 cents/octave

Guanyin (31 & 22 & 58)

Equal Temperament Mappings
235711
[<31497287107]
<2235516276]
<5892135163201]>
 
Reduced Mapping
235711
[<1002-2]
<01011]
<003-15]>
 
TE Generator Tunings (cents)
<1199.2352, 1901.6519, 929.3140]
 
TE Step Tunings (cents)
<9.09511, 9.52165, 12.20363]
 
TE Tuning Map (cents)
<1199.235, 1901.652, 2787.942, 3370.808, 4149.751]
 
TE Mistunings (cents)
<-0.765, -0.303, 1.628, 1.982, -1.566]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.164735
Adjusted Error 2.085398 cents
TE Error 0.602815 cents/octave

Guanyin (58 & 31 & 53)

Equal Temperament Mappings
23571113
[<5892135163201215]
<31497287107115]
<5384123149183196]>
 
Reduced Mapping
23571113
[<1002-23]
<01011-2]
<003-155]>
 
TE Generator Tunings (cents)
<1199.2030, 1901.6993, 929.2893]
 
TE Step Tunings (cents)
<12.30339, -1.11422, 9.81410]
 
TE Tuning Map (cents)
<1199.203, 1901.699, 2787.868, 3370.816, 4149.740, 4440.657]
 
TE Mistunings (cents)
<-0.797, -0.256, 1.554, 1.990, -1.578, 0.129]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.232411
Adjusted Error 2.038665 cents
TE Error 0.550925 cents/octave

Guanyintet (9 & 40)

Equal Temperament Mappings
257/311/3
[<9211117]
<40934975]>
 
Reduced Mapping
257/311/3
[<1313]
<0-31-5]>
 
TE Generator Tunings (cents)
<1198.5799, 269.2999]
 
TE Step Tunings (cents)
<15.22498, 26.53888]
 
TE Tuning Map (cents)
<1198.580, 2787.840, 1467.880, 2249.241]
 
TE Mistunings (cents)
<-1.420, 1.527, 1.009, -0.122]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 1.323178
Adjusted Error 2.055351 cents
TE Error 0.885191 cents/octave

Guiron (41 & 118)

Equal Temperament Mappings
2357
[<416595115]
<118187274331]>
 
Reduced Mapping
2357
[<1173]
<03-24-1]>
 
TE Generator Tunings (cents)
<1200.3400, 233.9964]
 
TE Step Tunings (cents)
<3.75956, 8.86608]
 
TE Tuning Map (cents)
<1200.340, 1902.329, 2786.465, 3367.024]
 
TE Mistunings (cents)
<0.340, 0.374, 0.152, -1.802]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.773290
Adjusted Error 1.076192 cents
TE Error 0.383347 cents/octave

Guiron (41 & 118)

Equal Temperament Mappings
235711
[<416595115142]
<118187274331408]>
 
Reduced Mapping
235711
[<1173-2]
<03-24-128]>
 
TE Generator Tunings (cents)
<1200.3458, 233.9989]
 
TE Step Tunings (cents)
<3.91559, 8.81192]
 
TE Tuning Map (cents)
<1200.346, 1902.343, 2786.447, 3367.039, 4151.277]
 
TE Mistunings (cents)
<0.346, 0.388, 0.134, -1.787, -0.041]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.930534
Adjusted Error 1.186491 cents
TE Error 0.342973 cents/octave

Guiron (41 & 77)

Equal Temperament Mappings
23571113
[<416595115142152]
<77122179216266285]>
 
Reduced Mapping
23571113
[<1173-20]
<03-24-12819]>
 
TE Generator Tunings (cents)
<1200.1241, 233.9232]
 
TE Step Tunings (cents)
<10.22187, 10.14321]
 
TE Tuning Map (cents)
<1200.124, 1901.894, 2786.713, 3366.449, 4149.600, 4444.540]
 
TE Mistunings (cents)
<0.124, -0.061, 0.399, -2.377, -1.718, 4.012]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.760649
Adjusted Error 2.233306 cents
TE Error 0.603524 cents/octave

Gwazy (22 & 52p)

Equal Temperament Mappings
235711
[<2235516276]
<5282121146180]>
 
Reduced Mapping
235711
[<21648]
<08-56-4]>
 
TE Generator Tunings (cents)
<599.8543, 162.5525]
 
TE Step Tunings (cents)
<27.38614, 11.48487]
 
TE Tuning Map (cents)
<1199.709, 1900.275, 2786.363, 3374.732, 4148.624]
 
TE Mistunings (cents)
<-0.291, -1.680, 0.049, 5.906, -2.694]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.140526
Adjusted Error 3.865380 cents
TE Error 1.117345 cents/octave

Gwazy (118 & 22)

Equal Temperament Mappings
23511
[<118187274408]
<22355176]>
 
Reduced Mapping
23511
[<2168]
<08-5-4]>
 
TE Generator Tunings (cents)
<600.0926, 162.7338]
 
TE Step Tunings (cents)
<10.20587, -0.18668]
 
TE Tuning Map (cents)
<1200.185, 1901.963, 2786.886, 4149.805]
 
TE Mistunings (cents)
<0.185, 0.008, 0.573, -1.512]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.539510
Adjusted Error 0.925540 cents
TE Error 0.267541 cents/octave

Hades (72 & 130 & 152)

Equal Temperament Mappings
2357
[<72114167202]
<130206302365]
<152241353427]>
 
Reduced Mapping
2357
[<2102]
<0305]
<0010]>
 
TE Generator Tunings (cents)
<599.9938, 433.8840, 2786.3137]
 
TE Step Tunings (cents)
<3.75386, 3.15369, 3.41928]
 
TE Tuning Map (cents)
<1199.988, 1901.646, 2786.314, 3369.408]
 
TE Mistunings (cents)
<-0.012, -0.309, 0.000, 0.582]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.280092
Adjusted Error 0.399850 cents
TE Error 0.142430 cents/octave

Hades (72 & 152 & 130)

Equal Temperament Mappings
235711
[<72114167202249]
<152241353427526]
<130206302365450]>
 
Reduced Mapping
235711
[<21023]
<0305-1]
<00101]>
 
TE Generator Tunings (cents)
<599.9487, 433.9084, 2786.0238]
 
TE Step Tunings (cents)
<3.59483, 4.54972, 1.91932]
 
TE Tuning Map (cents)
<1199.897, 1901.674, 2786.024, 3369.440, 4151.961]
 
TE Mistunings (cents)
<-0.103, -0.281, -0.290, 0.614, 0.644]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.261229
Adjusted Error 0.578737 cents
TE Error 0.167293 cents/octave

Hades (72 & 130 & 224)

Equal Temperament Mappings
23571113
[<72114167202249266]
<130206302365450481]
<224355520629775829]>
 
Reduced Mapping
23571113
[<21023-2]
<0305-113]
<001010]>
 
TE Generator Tunings (cents)
<599.9598, 433.8891, 2786.0074]
 
TE Step Tunings (cents)
<-0.23023, 2.08443, 4.22107]
 
TE Tuning Map (cents)
<1199.920, 1901.627, 2786.007, 3369.365, 4151.998, 4440.639]
 
TE Mistunings (cents)
<-0.080, -0.328, -0.306, 0.540, 0.680, 0.112]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.369031
Adjusted Error 0.571410 cents
TE Error 0.154417 cents/octave

Hagrid (72 & 58 & 34d)

Equal Temperament Mappings
235711
[<72114167202249]
<5892135163201]
<34547996118]>
 
Reduced Mapping
235711
[<200-4-1]
<02095]
<001-10]>
 
TE Generator Tunings (cents)
<600.0303, 950.5813, 2786.3017]
 
TE Step Tunings (cents)
<11.70677, 5.81690, 0.58215]
 
TE Tuning Map (cents)
<1200.061, 1901.163, 2786.302, 3368.808, 4152.876]
 
TE Mistunings (cents)
<0.061, -0.792, -0.012, -0.018, 1.558]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.323777
Adjusted Error 1.045389 cents
TE Error 0.302185 cents/octave

Hagrid (58 & 72 & 34d)

Equal Temperament Mappings
23571113
[<5892135163201215]
<72114167202249266]
<34547996118126]>
 
Reduced Mapping
23571113
[<200-4-1-2]
<020953]
<001-101]>
 
TE Generator Tunings (cents)
<599.9899, 950.6472, 2786.9793]
 
TE Step Tunings (cents)
<7.76253, 10.32106, 0.19519]
 
TE Tuning Map (cents)
<1199.980, 1901.294, 2786.979, 3368.886, 4153.246, 4438.941]
 
TE Mistunings (cents)
<-0.020, -0.661, 0.666, 0.060, 1.928, -1.587]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.311801
Adjusted Error 1.309375 cents
TE Error 0.353843 cents/octave

Hamity (14c & 53)

Equal Temperament Mappings
235711
[<1422323948]
<5384123149183]>
 
Reduced Mapping
235711
[<1-2-7-4-3]
<010261918]>
 
TE Generator Tunings (cents)
<1200.2284, 430.2738]
 
TE Step Tunings (cents)
<-0.17221, 22.69131]
 
TE Tuning Map (cents)
<1200.228, 1902.281, 2785.520, 3374.289, 4144.243]
 
TE Mistunings (cents)
<0.228, 0.326, -0.794, 5.463, -7.075]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.584859
Adjusted Error 4.424822 cents
TE Error 1.279060 cents/octave

Hamity (53 & 14cf)

Equal Temperament Mappings
23571113
[<5384123149183196]
<142232394851]>
 
Reduced Mapping
23571113
[<1-2-7-4-3-11]
<01026191841]>
 
TE Generator Tunings (cents)
<1200.1448, 430.2683]
 
TE Step Tunings (cents)
<23.03192, -1.46764]
 
TE Tuning Map (cents)
<1200.145, 1902.393, 2785.962, 3374.518, 4144.395, 4439.407]
 
TE Mistunings (cents)
<0.145, 0.438, -0.352, 5.692, -6.923, -1.121]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.800347
Adjusted Error 4.359741 cents
TE Error 1.178168 cents/octave

Hanson (53 & 34)

Equal Temperament Mappings
235
[<5384123]
<345479]>
 
Reduced Mapping
235
[<101]
<065]>
 
TE Generator Tunings (cents)
<1200.1661, 317.0504]
 
TE Step Tunings (cents)
<21.77955, 1.34853]
 
TE Tuning Map (cents)
<1200.166, 1902.303, 2785.418]
 
TE Mistunings (cents)
<0.166, 0.348, -0.895]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.550116
Adjusted Error 0.635053 cents
TE Error 0.273502 cents/octave

Hanuman (72 & 152 & 87)

Equal Temperament Mappings
235711
[<72114167202249]
<152241353427526]
<87138202244301]>
 
Reduced Mapping
235711
[<120-81]
<030-11-1]
<00141]>
 
TE Generator Tunings (cents)
<1199.9540, -165.9317, 2785.8301]
 
TE Step Tunings (cents)
<3.75581, 4.69214, 2.48655]
 
TE Tuning Map (cents)
<1199.954, 1902.113, 2785.830, 3368.937, 4151.716]
 
TE Mistunings (cents)
<-0.046, 0.158, -0.484, 0.111, 0.398]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.341341
Adjusted Error 0.409960 cents
TE Error 0.118505 cents/octave

Hanuman (72 & 224 & 87)

Equal Temperament Mappings
23571113
[<72114167202249266]
<224355520629775829]
<87138202244301322]>
 
Reduced Mapping
23571113
[<120-81-6]
<030-11-1-3]
<001414]>
 
TE Generator Tunings (cents)
<1200.0189, -166.0060, 2785.7243]
 
TE Step Tunings (cents)
<0.84882, 4.13390, 2.44725]
 
TE Tuning Map (cents)
<1200.019, 1902.020, 2785.724, 3368.812, 4151.749, 4440.802]
 
TE Mistunings (cents)
<0.019, 0.065, -0.589, -0.013, 0.431, 0.274]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.460787
Adjusted Error 0.446922 cents
TE Error 0.120775 cents/octave

Harry (72 & 130)

Equal Temperament Mappings
2357
[<72114167202]
<130206302365]>
 
Reduced Mapping
2357
[<2477]
<0-6-17-10]>
 
TE Generator Tunings (cents)
<600.0857, 83.1679]
 
TE Step Tunings (cents)
<5.14378, 6.38322]
 
TE Tuning Map (cents)
<1200.171, 1901.335, 2786.745, 3368.921]
 
TE Mistunings (cents)
<0.171, -0.620, 0.431, 0.095]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.178772
Adjusted Error 0.655297 cents
TE Error 0.233421 cents/octave

Harry (72 & 58)

Equal Temperament Mappings
235711
[<72114167202249]
<5892135163201]>
 
Reduced Mapping
235711
[<24779]
<0-6-17-10-15]>
 
TE Generator Tunings (cents)
<600.0506, 83.1740]
 
TE Step Tunings (cents)
<11.84457, 5.98780]
 
TE Tuning Map (cents)
<1200.101, 1901.158, 2786.396, 3368.614, 4152.845]
 
TE Mistunings (cents)
<0.101, -0.797, 0.082, -0.212, 1.527]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.663086
Adjusted Error 1.054700 cents
TE Error 0.304877 cents/octave

Harry (72 & 58)

Equal Temperament Mappings
23571113
[<72114167202249266]
<5892135163201215]>
 
Reduced Mapping
23571113
[<2477911]
<0-6-17-10-15-26]>
 
TE Generator Tunings (cents)
<599.9970, 83.1160]
 
TE Step Tunings (cents)
<10.37651, 7.80837]
 
TE Tuning Map (cents)
<1199.994, 1901.292, 2787.007, 3368.819, 4153.233, 4438.951]
 
TE Mistunings (cents)
<-0.006, -0.663, 0.693, -0.007, 1.915, -1.577]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.889000
Adjusted Error 1.310185 cents
TE Error 0.354062 cents/octave

Harry (72 & 58)

Equal Temperament Mappings
2357111317
[<72114167202249266294]
<5892135163201215237]>
 
Reduced Mapping
2357111317
[<24779119]
<0-6-17-10-15-26-6]>
 
TE Generator Tunings (cents)
<600.1626, 83.1905]
 
TE Step Tunings (cents)
<11.87468, 5.95428]
 
TE Tuning Map (cents)
<1200.325, 1901.507, 2786.899, 3369.233, 4153.605, 4438.835, 4902.320]
 
TE Mistunings (cents)
<0.325, -0.448, 0.586, 0.407, 2.288, -1.693, -2.635]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.950802
Adjusted Error 1.783239 cents
TE Error 0.436270 cents/octave

Haumea (29 & 140)

Equal Temperament Mappings
237/511/513/5
[<2946143340]
<14022268159193]>
 
Reduced Mapping
237/511/513/5
[<12-232]
<0-212-9-3]>
 
TE Generator Tunings (cents)
<1200.2483, 248.5714]
 
TE Step Tunings (cents)
<7.20479, 7.08078]
 
TE Tuning Map (cents)
<1200.248, 1903.354, 582.360, 1363.602, 1654.782]
 
TE Mistunings (cents)
<0.248, 1.399, -0.152, -1.402, 0.569]
 
Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE
 
Complexity 11.349123
Adjusted Error 1.148979 cents
TE Error 0.724925 cents/octave

Hecate (72 & 41 & 53)

Equal Temperament Mappings
23571113
[<72114167202249266]
<416595115142152]
<5384123149183196]>
 
Reduced Mapping
23571113
[<100-5122]
<0102-14]
<0012-3-2]>
 
TE Generator Tunings (cents)
<1200.5798, 1901.8964, 2784.5069]
 
TE Step Tunings (cents)
<9.01861, 5.91915, 5.82178]
 
TE Tuning Map (cents)
<1200.580, 1901.896, 2784.507, 3369.908, 4151.540, 4439.731]
 
TE Mistunings (cents)
<0.580, -0.059, -1.807, 1.082, 0.222, -0.796]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.254823
Adjusted Error 1.614370 cents
TE Error 0.436264 cents/octave

Hedgehog (22 & 14c)

Equal Temperament Mappings
2357
[<22355162]
<14223239]>
 
Reduced Mapping
2357
[<2467]
<0-3-5-5]>
 
TE Generator Tunings (cents)
<599.6190, 164.2476]
 
TE Step Tunings (cents)
<49.50466, 7.86683]
 
TE Tuning Map (cents)
<1199.238, 1905.733, 2776.476, 3376.095]
 
TE Mistunings (cents)
<-0.762, 3.778, -9.838, 7.269]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.704799
Adjusted Error 7.805081 cents
TE Error 2.780226 cents/octave

Hedgehog (22 & 14c)

Equal Temperament Mappings
235711
[<2235516276]
<1422323948]>
 
Reduced Mapping
235711
[<24678]
<0-3-5-5-4]>
 
TE Generator Tunings (cents)
<600.1297, 164.6498]
 
TE Step Tunings (cents)
<47.71110, 10.75822]
 
TE Tuning Map (cents)
<1200.259, 1906.569, 2777.529, 3377.659, 4142.438]
 
TE Mistunings (cents)
<0.259, 4.614, -8.784, 8.833, -8.879]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.542366
Adjusted Error 9.704246 cents
TE Error 2.805156 cents/octave

Hedgehog (8d & 14cf)

Equal Temperament Mappings
23571113
[<81319232830]
<142232394851]>
 
Reduced Mapping
23571113
[<246789]
<0-3-5-5-4-6]>
 
TE Generator Tunings (cents)
<600.4001, 164.2488]
 
TE Step Tunings (cents)
<51.05857, 56.59511]
 
TE Tuning Map (cents)
<1200.800, 1908.854, 2781.156, 3381.557, 4146.205, 4418.108]
 
TE Mistunings (cents)
<0.800, 6.899, -5.157, 12.731, -5.113, -22.420]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.417248
Adjusted Error 13.843741 cents
TE Error 3.741107 cents/octave

Heimdall (72 & 270 & 251e)

Equal Temperament Mappings
235711
[<72114167202249]
<270428627758934]
<251398583705869]>
 
Reduced Mapping
235711
[<10012]
<0201437]
<001-4-12]>
 
TE Generator Tunings (cents)
<1200.0031, 950.9942, 2786.2875]
 
TE Step Tunings (cents)
<2.24219, 3.37499, 0.50724]
 
TE Tuning Map (cents)
<1200.003, 1901.988, 2786.287, 3368.772, 4151.341]
 
TE Mistunings (cents)
<0.003, 0.033, -0.026, -0.054, 0.023]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.653139
Adjusted Error 0.048871 cents
TE Error 0.014127 cents/octave

Heinz (46 & 103)

Equal Temperament Mappings
235711
[<4673107129159]
<103163239289356]>
 
Reduced Mapping
235711
[<1-8-1063]
<02127-71]>
 
TE Generator Tunings (cents)
<1200.6103, 547.9099]
 
TE Step Tunings (cents)
<6.03401, 8.96161]
 
TE Tuning Map (cents)
<1200.610, 1901.225, 2787.464, 3368.292, 4149.741]
 
TE Mistunings (cents)
<0.610, -0.730, 1.150, -0.533, -1.577]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.542674
Adjusted Error 1.603178 cents
TE Error 0.463422 cents/octave

Heinz (46 & 103)

Equal Temperament Mappings
23571113
[<4673107129159170]
<103163239289356381]>
 
Reduced Mapping
23571113
[<1-8-106311]
<02127-71-16]>
 
TE Generator Tunings (cents)
<1200.6352, 547.9186]
 
TE Step Tunings (cents)
<5.76030, 9.08409]
 
TE Tuning Map (cents)
<1200.635, 1901.209, 2787.450, 3368.381, 4149.824, 4440.290]
 
TE Mistunings (cents)
<0.635, -0.746, 1.136, -0.445, -1.494, -0.238]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.823353
Adjusted Error 1.570165 cents
TE Error 0.424319 cents/octave

Helenus (12 & 53)

Equal Temperament Mappings
235711
[<1219283442]
<5384123149183]>
 
Reduced Mapping
235711
[<12-1-3-9]
<0-181430]>
 
TE Generator Tunings (cents)
<1199.7153, 498.1566]
 
TE Step Tunings (cents)
<8.56452, 20.69700]
 
TE Tuning Map (cents)
<1199.715, 1901.274, 2785.538, 3375.047, 4147.261]
 
TE Mistunings (cents)
<-0.285, -0.681, -0.776, 6.221, -4.057]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.408639
Adjusted Error 3.993516 cents
TE Error 1.154385 cents/octave

Helenus (12f & 53)

Equal Temperament Mappings
23571113
[<121928344245]
<5384123149183196]>
 
Reduced Mapping
23571113
[<12-1-3-9-10]
<0-18143033]>
 
TE Generator Tunings (cents)
<1199.7427, 498.1457]
 
TE Step Tunings (cents)
<7.38201, 20.96526]
 
TE Tuning Map (cents)
<1199.743, 1901.340, 2785.423, 3374.811, 4146.686, 4441.381]
 
TE Mistunings (cents)
<-0.257, -0.615, -0.891, 5.986, -4.632, 0.853]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.751732
Adjusted Error 3.926563 cents
TE Error 1.061107 cents/octave

Helmholtz (118 & 171)

Equal Temperament Mappings
235
[<118187274]
<171271397]>
 
Reduced Mapping
235
[<12-1]
<0-18]>
 
TE Generator Tunings (cents)
<1200.0749, 498.2952]
 
TE Step Tunings (cents)
<3.16220, 4.83588]
 
TE Tuning Map (cents)
<1200.075, 1901.855, 2786.287]
 
TE Mistunings (cents)
<0.075, -0.100, -0.027]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.791396
Adjusted Error 0.132425 cents
TE Error 0.057032 cents/octave

Hemiamity (152 & 46)

Equal Temperament Mappings
235711
[<152241353427526]
<4673107129159]>
 
Reduced Mapping
235711
[<21-11313]
<0513-17-14]>
 
TE Generator Tunings (cents)
<599.8219, 260.4833]
 
TE Step Tunings (cents)
<7.10313, 2.60802]
 
TE Tuning Map (cents)
<1199.644, 1902.238, 2786.461, 3369.469, 4150.919]
 
TE Mistunings (cents)
<-0.356, 0.283, 0.147, 0.643, -0.399]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.673499
Adjusted Error 0.739729 cents
TE Error 0.213830 cents/octave

Hemiaug (27e & 3de)

Equal Temperament Mappings
235711
[<2743637694]
<357911]>
 
Reduced Mapping
235711
[<357911]
<0-20-5-5]>
 
TE Generator Tunings (cents)
<398.9029, 45.6629]
 
TE Step Tunings (cents)
<45.66290, -12.06319]
 
TE Tuning Map (cents)
<1196.709, 1903.189, 2792.320, 3361.812, 4159.618]
 
TE Mistunings (cents)
<-3.291, 1.234, 6.007, -7.014, 8.300]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.260992
Adjusted Error 8.492025 cents
TE Error 2.454746 cents/octave

Hemiaug (27e & 24p)

Equal Temperament Mappings
23571113
[<2743637694100]
<243856678389]>
 
Reduced Mapping
23571113
[<35791111]
<0-20-5-51]>
 
TE Generator Tunings (cents)
<399.1142, 46.1473]
 
TE Step Tunings (cents)
<29.93562, 16.21170]
 
TE Tuning Map (cents)
<1197.343, 1903.277, 2793.800, 3361.291, 4159.520, 4436.404]
 
TE Mistunings (cents)
<-2.657, 1.322, 7.486, -7.534, 8.202, -4.124]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.442964
Adjusted Error 8.574681 cents
TE Error 2.317206 cents/octave

Hemidim (12 & 4bcdee)

Equal Temperament Mappings
235711
[<1219283442]
<47101215]>
 
Reduced Mapping
235711
[<47101215]
<0-2-2-2-3]>
 
TE Generator Tunings (cents)
<298.8163, 101.2776]
 
TE Step Tunings (cents)
<101.27763, -5.01659]
 
TE Tuning Map (cents)
<1195.265, 1889.159, 2785.608, 3383.240, 4178.411]
 
TE Mistunings (cents)
<-4.735, -12.796, -0.706, 14.414, 27.094]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.657250
Adjusted Error 20.489223 cents
TE Error 5.922714 cents/octave

Hemidim (4e & 24p)

Equal Temperament Mappings
235711
[<4691113]
<2438566783]>
 
Reduced Mapping
235711
[<4691113]
<02215]>
 
TE Generator Tunings (cents)
<300.4441, 48.4138]
 
TE Step Tunings (cents)
<9.96138, 48.41379]
 
TE Tuning Map (cents)
<1201.776, 1899.492, 2800.824, 3353.299, 4147.842]
 
TE Mistunings (cents)
<1.776, -2.463, 14.511, -15.527, -3.476]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.165144
Adjusted Error 13.507319 cents
TE Error 3.904491 cents/octave

Hemidim (4ef & 24p)

Equal Temperament Mappings
23571113
[<469111314]
<243856678389]>
 
Reduced Mapping
23571113
[<469111314]
<022155]>
 
TE Generator Tunings (cents)
<300.4817, 47.8513]
 
TE Step Tunings (cents)
<13.37364, 47.85133]
 
TE Tuning Map (cents)
<1201.927, 1898.593, 2800.038, 3353.150, 4145.518, 4446.000]
 
TE Mistunings (cents)
<1.927, -3.362, 13.724, -15.676, -5.800, 5.472]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.148433
Adjusted Error 13.455038 cents
TE Error 3.636065 cents/octave

Hemienneadecal (342 & 494)

Equal Temperament Mappings
235711
[<3425427949601183]
<494783114713871709]>
 
Reduced Mapping
235711
[<386088106131]
<01132]>
 
TE Generator Tunings (cents)
<31.5800, 7.1448]
 
TE Step Tunings (cents)
<1.85803, 1.14290]
 
TE Tuning Map (cents)
<1200.041, 1901.946, 2786.187, 3368.917, 4151.273]
 
TE Mistunings (cents)
<0.041, -0.009, -0.127, 0.091, -0.045]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.082822
Adjusted Error 0.118925 cents
TE Error 0.034377 cents/octave

Hemiennealimmal (342 & 270)

Equal Temperament Mappings
235711
[<3425427949601183]
<270428627758934]>
 
Reduced Mapping
235711
[<1828415062]
<02321]>
 
TE Generator Tunings (cents)
<66.6697, 17.6227]
 
TE Step Tunings (cents)
<2.33774, 1.48350]
 
TE Tuning Map (cents)
<1200.054, 1901.996, 2786.325, 3368.729, 4151.143]
 
TE Mistunings (cents)
<0.054, 0.041, 0.011, -0.097, -0.175]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.264229
Adjusted Error 0.133017 cents
TE Error 0.038450 cents/octave

Hemiennealimmal (270 & 72)

Equal Temperament Mappings
23571113
[<270428627758934999]
<72114167202249266]>
 
Reduced Mapping
23571113
[<182841506265]
<023216]>
 
TE Generator Tunings (cents)
<66.6667, 17.7504]
 
TE Step Tunings (cents)
<4.33482, 0.41108]
 
TE Tuning Map (cents)
<1200.000, 1902.168, 2786.585, 3368.835, 4151.084, 4439.836]
 
TE Mistunings (cents)
<0.000, 0.213, 0.271, 0.009, -0.234, -0.691]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 10.431761
Adjusted Error 0.402904 cents
TE Error 0.108880 cents/octave

Hemif (17 & 41)

Equal Temperament Mappings
2371113
[<1727485963]
<4165115142152]>
 
Reduced Mapping
2371113
[<11-124]
<02135-1]>
 
TE Generator Tunings (cents)
<1198.7629, 351.3282]
 
TE Step Tunings (cents)
<19.30374, 21.23413]
 
TE Tuning Map (cents)
<1198.763, 1901.419, 3368.504, 4154.167, 4443.723]
 
TE Mistunings (cents)
<-1.237, -0.536, -0.322, 2.849, 3.196]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.745777
Adjusted Error 2.905167 cents
TE Error 0.785087 cents/octave

Hemifamity (99 & 41 & 53)

Equal Temperament Mappings
2357
[<99157230278]
<416595115]
<5384123149]>
 
Reduced Mapping
2357
[<10010]
<010-6]
<0011]>
 
TE Generator Tunings (cents)
<1199.7174, 1902.3810, 2786.1613]
 
TE Step Tunings (cents)
<9.44929, 2.69056, 2.90424]
 
TE Tuning Map (cents)
<1199.717, 1902.381, 2786.161, 3369.049]
 
TE Mistunings (cents)
<-0.283, 0.426, -0.152, 0.223]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.172683
Adjusted Error 0.566265 cents
TE Error 0.201708 cents/octave

Hemififths (99 & 41)

Equal Temperament Mappings
2357
[<99157230278]
<416595115]>
 
Reduced Mapping
2357
[<11-5-1]
<022513]>
 
TE Generator Tunings (cents)
<1199.7414, 351.4017]
 
TE Step Tunings (cents)
<10.57251, 3.73324]
 
TE Tuning Map (cents)
<1199.741, 1902.545, 2786.335, 3368.481]
 
TE Mistunings (cents)
<-0.259, 0.590, 0.022, -0.345]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.171558
Adjusted Error 0.659216 cents
TE Error 0.234818 cents/octave

Hemififths (41 & 58)

Equal Temperament Mappings
235711
[<416595115142]
<5892135163201]>
 
Reduced Mapping
235711
[<11-5-12]
<0225135]>
 
TE Generator Tunings (cents)
<1199.2860, 351.3115]
 
TE Step Tunings (cents)
<11.79788, 12.33747]
 
TE Tuning Map (cents)
<1199.286, 1901.909, 2786.356, 3367.763, 4155.129]
 
TE Mistunings (cents)
<-0.714, -0.046, 0.043, -1.063, 3.811]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.888038
Adjusted Error 2.114583 cents
TE Error 0.611252 cents/octave

Hemififths (58 & 41)

Equal Temperament Mappings
23571113
[<5892135163201215]
<416595115142152]>
 
Reduced Mapping
23571113
[<11-5-124]
<0225135-1]>
 
TE Generator Tunings (cents)
<1198.8903, 351.2483]
 
TE Step Tunings (cents)
<14.49750, 8.73257]
 
TE Tuning Map (cents)
<1198.890, 1901.387, 2786.757, 3367.338, 4154.022, 4444.313]
 
TE Mistunings (cents)
<-1.110, -0.568, 0.443, -1.488, 2.704, 3.785]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.835694
Adjusted Error 2.758677 cents
TE Error 0.745500 cents/octave

Hemififths (41 & 58)

Equal Temperament Mappings
237
[<4165115]
<5892163]>
 
Reduced Mapping
237
[<11-1]
<0213]>
 
TE Generator Tunings (cents)
<1199.7305, 351.4056]
 
TE Step Tunings (cents)
<13.89184, 10.86491]
 
TE Tuning Map (cents)
<1199.730, 1902.542, 3368.543]
 
TE Mistunings (cents)
<-0.270, 0.587, -0.283]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.955053
Adjusted Error 0.759991 cents
TE Error 0.270714 cents/octave

Hemififths (17 & 41)

Equal Temperament Mappings
23711
[<17274859]
<4165115142]>
 
Reduced Mapping
23711
[<11-12]
<02135]>
 
TE Generator Tunings (cents)
<1199.2648, 351.3193]
 
TE Step Tunings (cents)
<12.91356, 23.89596]
 
TE Tuning Map (cents)
<1199.265, 1901.903, 3367.886, 4155.126]
 
TE Mistunings (cents)
<-0.735, -0.052, -0.940, 3.808]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 1.708637
Adjusted Error 2.362451 cents
TE Error 0.682901 cents/octave

Hemigamera (224 & 198)

Contorted Gamera (order 2)
 
Equal Temperament Mappings
2357
[<224355520629]
<198314460556]>
 
Reduced Mapping
2357
[<212206]
<0-23-40-1]>
 
TE Generator Tunings (cents)
<599.9242, 230.3068]
 
TE Step Tunings (cents)
<3.25743, 2.37467]
 
TE Tuning Map (cents)
<1199.848, 1902.033, 2786.210, 3369.238]
 
TE Mistunings (cents)
<-0.152, 0.078, -0.103, 0.412]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 15.812189
Adjusted Error 0.310636 cents
TE Error 0.110651 cents/octave

Hemigamera (224 & 198)

Equal Temperament Mappings
235711
[<224355520629775]
<198314460556685]>
 
Reduced Mapping
235711
[<2122065]
<0-23-40-15]>
 
TE Generator Tunings (cents)
<599.9323, 230.3111]
 
TE Step Tunings (cents)
<3.36724, 2.25052]
 
TE Tuning Map (cents)
<1199.865, 1902.033, 2786.204, 3369.283, 4151.217]
 
TE Mistunings (cents)
<-0.135, 0.078, -0.110, 0.457, -0.101]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 16.044043
Adjusted Error 0.347161 cents
TE Error 0.100352 cents/octave

Hemigamera (224 & 198)

Equal Temperament Mappings
23571113
[<224355520629775829]
<198314460556685733]>
 
Reduced Mapping
23571113
[<212206517]
<0-23-40-15-25]>
 
TE Generator Tunings (cents)
<599.9208, 230.3069]
 
TE Step Tunings (cents)
<3.39077, 2.22378]
 
TE Tuning Map (cents)
<1199.842, 1901.991, 2786.141, 3369.218, 4151.138, 4440.981]
 
TE Mistunings (cents)
<-0.158, 0.036, -0.173, 0.392, -0.180, 0.454]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 14.653856
Adjusted Error 0.395108 cents
TE Error 0.106773 cents/octave

Hemigari (53 & 29)

Equal Temperament Mappings
235711
[<5384123149183]
<29466781100]>
 
Reduced Mapping
235711
[<12-1-32]
<0-216287]>
 
TE Generator Tunings (cents)
<1200.7357, 249.0709]
 
TE Step Tunings (cents)
<18.64254, 7.33384]
 
TE Tuning Map (cents)
<1200.736, 1903.330, 2784.399, 3371.779, 4144.968]
 
TE Mistunings (cents)
<0.736, 1.375, -1.915, 2.953, -6.350]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.252037
Adjusted Error 3.928863 cents
TE Error 1.135696 cents/octave

Hemigari (53 & 29)

Equal Temperament Mappings
23571113
[<5384123149183196]
<29466781100107]>
 
Reduced Mapping
23571113
[<12-1-321]
<0-21628713]>
 
TE Generator Tunings (cents)
<1200.8201, 249.0884]
 
TE Step Tunings (cents)
<18.64241, 7.33698]
 
TE Tuning Map (cents)
<1200.820, 1903.463, 2784.594, 3372.014, 4145.259, 4438.969]
 
TE Mistunings (cents)
<0.820, 1.508, -1.720, 3.189, -6.059, -1.558]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.881291
Adjusted Error 3.899198 cents
TE Error 1.053712 cents/octave

Hemikleismic (53 & 68)

Equal Temperament Mappings
2357
[<5384123149]
<68108158191]>
 
Reduced Mapping
2357
[<1014]
<01210-9]>
 
TE Generator Tunings (cents)
<1199.3960, 158.5687]
 
TE Step Tunings (cents)
<11.89078, 8.37036]
 
TE Tuning Map (cents)
<1199.396, 1902.825, 2785.083, 3370.466]
 
TE Mistunings (cents)
<-0.604, 0.870, -1.230, 1.640]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.105329
Adjusted Error 1.592925 cents
TE Error 0.567411 cents/octave

Hemikleismic (15 & 53)

Equal Temperament Mappings
235711
[<1524354252]
<5384123149183]>
 
Reduced Mapping
235711
[<10142]
<01210-911]>
 
TE Generator Tunings (cents)
<1199.8057, 158.6514]
 
TE Step Tunings (cents)
<9.88501, 19.84020]
 
TE Tuning Map (cents)
<1199.806, 1903.817, 2786.320, 3371.360, 4144.777]
 
TE Mistunings (cents)
<-0.194, 1.862, 0.006, 2.534, -6.541]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.692909
Adjusted Error 3.728395 cents
TE Error 1.077748 cents/octave

Hemikleismic (15 & 53)

Equal Temperament Mappings
23571113
[<152435425256]
<5384123149183196]>
 
Reduced Mapping
23571113
[<101420]
<01210-91128]>
 
TE Generator Tunings (cents)
<1199.8001, 158.6286]
 
TE Step Tunings (cents)
<8.71408, 20.17149]
 
TE Tuning Map (cents)
<1199.800, 1903.543, 2786.086, 3371.543, 4144.515, 4441.600]
 
TE Mistunings (cents)
<-0.200, 1.588, -0.228, 2.717, -6.803, 1.073]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.887960
Adjusted Error 3.682450 cents
TE Error 0.995139 cents/octave

Hemimaquila (130 & 121)

Equal Temperament Mappings
235711
[<130206302365450]
<121192281340419]>
 
Reduced Mapping
235711
[<1-65-5-1]
<034-123520]>
 
TE Generator Tunings (cents)
<1199.5849, 267.6249]
 
TE Step Tunings (cents)
<6.18063, 3.27357]
 
TE Tuning Map (cents)
<1199.585, 1901.737, 2786.426, 3368.947, 4152.913]
 
TE Mistunings (cents)
<-0.415, -0.218, 0.112, 0.121, 1.595]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 9.354647
Adjusted Error 0.988205 cents
TE Error 0.285655 cents/octave

Hemimaquila (130 & 121)

Equal Temperament Mappings
23571113
[<130206302365450481]
<121192281340419448]>
 
Reduced Mapping
23571113
[<1-65-5-1-5]
<034-12352039]>
 
TE Generator Tunings (cents)
<1199.6188, 267.6344]
 
TE Step Tunings (cents)
<5.94186, 3.53039]
 
TE Tuning Map (cents)
<1199.619, 1901.858, 2786.481, 3369.111, 4153.070, 4439.649]
 
TE Mistunings (cents)
<-0.381, -0.097, 0.167, 0.285, 1.752, -0.879]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.646074
Adjusted Error 1.043829 cents
TE Error 0.282082 cents/octave

Hemimeantone (19e & 43)

Equal Temperament Mappings
23571113
[<193044536570]
<4368100121149159]>
 
Reduced Mapping
23571113
[<1247116]
<0-2-8-20-36-11]>
 
TE Generator Tunings (cents)
<1201.0483, 251.7545]
 
TE Step Tunings (cents)
<16.00774, 20.85817]
 
TE Tuning Map (cents)
<1201.048, 1898.588, 2790.157, 3372.249, 4148.370, 4436.991]
 
TE Mistunings (cents)
<1.048, -3.367, 3.844, 3.423, -2.948, -3.537]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.542266
Adjusted Error 5.118377 cents
TE Error 1.383181 cents/octave

Hemimiracle (41 & 21p)

Equal Temperament Mappings
235711
[<416595115142]
<2133495973]>
 
Reduced Mapping
235711
[<11334]
<012-14-4-11]>
 
TE Generator Tunings (cents)
<1200.2961, 58.4220]
 
TE Step Tunings (cents)
<26.56607, 5.28987]
 
TE Tuning Map (cents)
<1200.296, 1901.360, 2782.980, 3367.200, 4158.542]
 
TE Mistunings (cents)
<0.296, -0.595, -3.334, -1.626, 7.224]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.558291
Adjusted Error 4.089166 cents
TE Error 1.182034 cents/octave

Hemimiracle (41 & 21p)

Equal Temperament Mappings
23571113
[<416595115142152]
<213349597378]>
 
Reduced Mapping
23571113
[<113344]
<012-14-4-11-6]>
 
TE Generator Tunings (cents)
<1199.8564, 58.4225]
 
TE Step Tunings (cents)
<27.01633, 4.38985]
 
TE Tuning Map (cents)
<1199.856, 1900.926, 2781.654, 3365.879, 4156.778, 4448.890]
 
TE Mistunings (cents)
<-0.144, -1.029, -4.660, -2.947, 5.460, 8.363]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.179604
Adjusted Error 5.482239 cents
TE Error 1.481510 cents/octave

Hemimist (87 & 111)

Equal Temperament Mappings
23571113
[<87138202244301322]
<111176258312384411]>
 
Reduced Mapping
23571113
[<3410161013]
<02-8-201-5]>
 
TE Generator Tunings (cents)
<399.8819, 151.4807]
 
TE Step Tunings (cents)
<6.43793, 5.76168]
 
TE Tuning Map (cents)
<1199.646, 1902.489, 2786.974, 3368.497, 4150.300, 4441.061]
 
TE Mistunings (cents)
<-0.354, 0.534, 0.660, -0.329, -1.018, 0.534]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.505774
Adjusted Error 1.003176 cents
TE Error 0.271096 cents/octave

Hemipaj (22 & 2)

Equal Temperament Mappings
235711
[<2235516276]
<23567]>
 
Reduced Mapping
235711
[<23567]
<02-4-4-1]>
 
TE Generator Tunings (cents)
<599.2460, 53.5496]
 
TE Step Tunings (cents)
<53.54965, 10.19991]
 
TE Tuning Map (cents)
<1198.492, 1904.837, 2782.031, 3381.277, 4141.172]
 
TE Mistunings (cents)
<-1.508, 2.882, -4.282, 12.452, -10.145]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 2.143304
Adjusted Error 9.443100 cents
TE Error 2.729668 cents/octave

Hemischis (53 & 130)

Equal Temperament Mappings
2357
[<5384123149]
<130206302365]>
 
Reduced Mapping
2357
[<12-18]
<0-216-25]>
 
TE Generator Tunings (cents)
<1199.8582, 249.1733]
 
TE Step Tunings (cents)
<3.64841, 7.74225]
 
TE Tuning Map (cents)
<1199.858, 1901.370, 2786.914, 3369.534]
 
TE Mistunings (cents)
<-0.142, -0.585, 0.600, 0.708]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.606342
Adjusted Error 0.751799 cents
TE Error 0.267796 cents/octave

Hemischis (130 & 53)

Equal Temperament Mappings
235711
[<130206302365450]
<5384123149183]>
 
Reduced Mapping
235711
[<12-18-9]
<0-216-2560]>
 
TE Generator Tunings (cents)
<1199.8485, 249.1674]
 
TE Step Tunings (cents)
<7.54025, 4.14370]
 
TE Tuning Map (cents)
<1199.848, 1901.362, 2786.830, 3369.602, 4151.409]
 
TE Mistunings (cents)
<-0.152, -0.593, 0.517, 0.776, 0.091]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.828443
Adjusted Error 0.832499 cents
TE Error 0.240646 cents/octave

Hemischis (130 & 53)

Equal Temperament Mappings
23571113
[<130206302365450481]
<5384123149183196]>
 
Reduced Mapping
23571113
[<12-18-91]
<0-216-256013]>
 
TE Generator Tunings (cents)
<1199.9143, 249.1817]
 
TE Step Tunings (cents)
<7.57288, 4.06490]
 
TE Tuning Map (cents)
<1199.914, 1901.465, 2786.993, 3369.772, 4151.674, 4439.277]
 
TE Mistunings (cents)
<-0.086, -0.490, 0.679, 0.946, 0.356, -1.251]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 8.063003
Adjusted Error 0.986989 cents
TE Error 0.266722 cents/octave

Hemisecordite (41 & 103)

Equal Temperament Mappings
23571113
[<416595115142152]
<103163239289356381]>
 
Reduced Mapping
23571113
[<113322]
<012-14-43035]>
 
TE Generator Tunings (cents)
<1200.6984, 58.3218]
 
TE Step Tunings (cents)
<3.65188, 10.20361]
 
TE Tuning Map (cents)
<1200.698, 1900.560, 2785.590, 3368.808, 4151.050, 4442.659]
 
TE Mistunings (cents)
<0.698, -1.395, -0.724, -0.018, -0.268, 2.131]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.840070
Adjusted Error 1.968298 cents
TE Error 0.531909 cents/octave

Hemisecordite (41p & 103)

Equal Temperament Mappings
2357111317
[<416595115142152168]
<103163239289356381421]>
 
Reduced Mapping
2357111317
[<1133222]
<012-14-4303543]>
 
TE Generator Tunings (cents)
<1200.6577, 58.2933]
 
TE Step Tunings (cents)
<0.91956, 11.29083]
 
TE Tuning Map (cents)
<1200.658, 1900.177, 2785.867, 3368.800, 4150.114, 4441.580, 4907.927]
 
TE Mistunings (cents)
<0.658, -1.778, -0.446, -0.026, -1.204, 1.053, 2.971]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.006445
Adjusted Error 2.422301 cents
TE Error 0.592617 cents/octave

Hemisensi (27e & 38d)

Equal Temperament Mappings
235711
[<2743637694]
<386088106131]>
 
Reduced Mapping
235711
[<1-1-1-2-3]
<014182635]>
 
TE Generator Tunings (cents)
<1199.9333, 221.5931]
 
TE Step Tunings (cents)
<21.00402, 16.65328]
 
TE Tuning Map (cents)
<1199.933, 1902.370, 2788.742, 3361.554, 4155.958]
 
TE Mistunings (cents)
<-0.067, 0.415, 2.429, -7.272, 4.640]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.676363
Adjusted Error 4.812559 cents
TE Error 1.391141 cents/octave

Hemiseven (72 & 77)

Equal Temperament Mappings
2357
[<72114167202]
<77122179216]>
 
Reduced Mapping
2357
[<14142]
<0-6-292]>
 
TE Generator Tunings (cents)
<1200.5617, 483.4927]
 
TE Step Tunings (cents)
<11.52668, 4.81352]
 
TE Tuning Map (cents)
<1200.562, 1901.290, 2786.575, 3368.109]
 
TE Mistunings (cents)
<0.562, -0.665, 0.261, -0.717]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.248226
Adjusted Error 1.058998 cents
TE Error 0.377223 cents/octave

Hemiseven (72 & 77)

Equal Temperament Mappings
235711
[<72114167202249]
<77122179216266]>
 
Reduced Mapping
235711
[<14142-5]
<0-6-29221]>
 
TE Generator Tunings (cents)
<1200.6248, 483.5276]
 
TE Step Tunings (cents)
<12.25615, 4.13223]
 
TE Tuning Map (cents)
<1200.625, 1901.334, 2786.447, 3368.305, 4150.955]
 
TE Mistunings (cents)
<0.625, -0.621, 0.133, -0.521, -0.363]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.155639
Adjusted Error 1.191168 cents
TE Error 0.344325 cents/octave

Hemiseven (72 & 77)

Equal Temperament Mappings
23571113
[<72114167202249266]
<77122179216266285]>
 
Reduced Mapping
23571113
[<14142-519]
<0-6-29221-38]>
 
TE Generator Tunings (cents)
<1200.6789, 483.5288]
 
TE Step Tunings (cents)
<10.67329, 5.61301]
 
TE Tuning Map (cents)
<1200.679, 1901.543, 2787.169, 3368.415, 4150.711, 4438.804]
 
TE Mistunings (cents)
<0.679, -0.412, 0.855, -0.411, -0.607, -1.724]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 6.426054
Adjusted Error 1.459508 cents
TE Error 0.394415 cents/octave

Hemiskidoo (29 & 34d)

Equal Temperament Mappings
257111323
[<296781100107131]
<347996118126154]>
 
Reduced Mapping
257111323
[<159877]
<0-13-30-22-16-12]>
 
TE Generator Tunings (cents)
<1200.6140, 247.8140]
 
TE Step Tunings (cents)
<21.37809, 17.07793]
 
TE Tuning Map (cents)
<1200.614, 2781.488, 3371.106, 4153.004, 4439.274, 5430.530]
 
TE Mistunings (cents)
<0.614, -4.826, 2.280, 1.686, -1.254, 2.256]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.301901
Adjusted Error 4.507333 cents
TE Error 0.996412 cents/octave

Hemitert (342 & 31)

Equal Temperament Mappings
235711
[<3425427949601183]
<31497287107]>
 
Reduced Mapping
235711
[<13236]
<0-4410-6-79]>
 
TE Generator Tunings (cents)
<1200.1008, 38.5988]
 
TE Step Tunings (cents)
<3.53739, -0.31242]
 
TE Tuning Map (cents)
<1200.101, 1901.954, 2786.190, 3368.710, 4151.298]
 
TE Mistunings (cents)
<0.101, -0.001, -0.124, -0.116, -0.020]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 13.008348
Adjusted Error 0.187971 cents
TE Error 0.054336 cents/octave

Hemithir (31 & 68e)

Equal Temperament Mappings
23571113
[<31497287107115]
<68108158191236252]>
 
Reduced Mapping
23571113
[<1-122-35]
<0162540-8]>
 
TE Generator Tunings (cents)
<1199.1425, 193.7793]
 
TE Step Tunings (cents)
<13.57382, 11.44638]
 
TE Tuning Map (cents)
<1199.142, 1901.327, 2785.844, 3367.181, 4153.745, 4445.478]
 
TE Mistunings (cents)
<-0.858, -0.628, -0.470, -1.644, 2.427, 4.950]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.207988
Adjusted Error 2.849761 cents
TE Error 0.770114 cents/octave

Hemithirds (31 & 118)

Equal Temperament Mappings
2357
[<31497287]
<118187274331]>
 
Reduced Mapping
2357
[<1422]
<0-1525]>
 
TE Generator Tunings (cents)
<1200.3109, 193.2945]
 
TE Step Tunings (cents)
<2.83915, 9.42625]
 
TE Tuning Map (cents)
<1200.311, 1901.827, 2787.211, 3367.094]
 
TE Mistunings (cents)
<0.311, -0.128, 0.897, -1.732]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.522291
Adjusted Error 1.116782 cents
TE Error 0.397806 cents/octave

Hemithirds (31 & 118)

Equal Temperament Mappings
235711
[<31497287107]
<118187274331408]>
 
Reduced Mapping
235711
[<14227]
<0-1525-22]>
 
TE Generator Tunings (cents)
<1200.3582, 193.2845]
 
TE Step Tunings (cents)
<0.76472, 9.97163]
 
TE Tuning Map (cents)
<1200.358, 1902.165, 2787.285, 3367.139, 4150.249]
 
TE Mistunings (cents)
<0.358, 0.210, 0.972, -1.687, -1.069]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.452319
Adjusted Error 1.364379 cents
TE Error 0.394394 cents/octave

Hemithirds (31 & 87)

Equal Temperament Mappings
23571113
[<31497287107115]
<87138202244301322]>
 
Reduced Mapping
23571113
[<142270]
<0-1525-2223]>
 
TE Generator Tunings (cents)
<1200.0616, 193.1759]
 
TE Step Tunings (cents)
<5.44564, 11.85341]
 
TE Tuning Map (cents)
<1200.062, 1902.607, 2786.475, 3366.003, 4150.560, 4443.047]
 
TE Mistunings (cents)
<0.062, 0.652, 0.161, -2.823, -0.758, 2.519]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.235320
Adjusted Error 1.969998 cents
TE Error 0.532369 cents/octave

Hemiwar (31 & 6f)

Equal Temperament Mappings
23571113
[<31497287107115]
<61014172123]>
 
Reduced Mapping
23571113
[<1-12220]
<01625923]>
 
TE Generator Tunings (cents)
<1199.9666, 193.6921]
 
TE Step Tunings (cents)
<37.81389, 4.62265]
 
TE Tuning Map (cents)
<1199.967, 1899.107, 2787.317, 3368.394, 4143.162, 4454.919]
 
TE Mistunings (cents)
<-0.033, -2.848, 1.004, -0.432, -8.156, 14.391]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.506972
Adjusted Error 7.419688 cents
TE Error 2.005083 cents/octave

Hemiwur (31 & 68p)

Equal Temperament Mappings
235711
[<31497287107]
<68108158191235]>
 
Reduced Mapping
235711
[<1-1222]
<016259]>
 
TE Generator Tunings (cents)
<1200.1773, 193.9122]
 
TE Step Tunings (cents)
<15.92317, 10.39057]
 
TE Tuning Map (cents)
<1200.177, 1902.417, 2788.179, 3369.915, 4145.564]
 
TE Mistunings (cents)
<0.177, 0.462, 1.865, 1.089, -5.754]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.619760
Adjusted Error 2.967379 cents
TE Error 0.857765 cents/octave

Hemiwur (31 & 37)

Equal Temperament Mappings
23571113
[<31497287107115]
<375986104128137]>
 
Reduced Mapping
23571113
[<1-12225]
<016259-8]>
 
TE Generator Tunings (cents)
<1199.5034, 193.9241]
 
TE Step Tunings (cents)
<21.82813, 14.13058]
 
TE Tuning Map (cents)
<1199.503, 1903.282, 2786.855, 3368.627, 4144.324, 4446.124]
 
TE Mistunings (cents)
<-0.497, 1.327, 0.541, -0.199, -6.994, 5.596]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 3.838338
Adjusted Error 4.104578 cents
TE Error 1.109214 cents/octave

Hemiwürschmidt (99 & 31)

Equal Temperament Mappings
2357
[<99157230278]
<31497287]>
 
Reduced Mapping
2357
[<1-122]
<01625]>
 
TE Generator Tunings (cents)
<1199.7154, 193.8522]
 
TE Step Tunings (cents)
<10.84243, 4.07466]
 
TE Tuning Map (cents)
<1199.715, 1901.920, 2787.135, 3368.692]
 
TE Mistunings (cents)
<-0.285, -0.035, 0.822, -0.134]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.040174
Adjusted Error 0.641625 cents
TE Error 0.228551 cents/octave

Hemiwürschmidt (31 & 130)

Equal Temperament Mappings
235711
[<31497287107]
<130206302365450]>
 
Reduced Mapping
235711
[<1-122-3]
<0162540]>
 
TE Generator Tunings (cents)
<1199.7868, 193.8059]
 
TE Step Tunings (cents)
<0.75121, 9.04999]
 
TE Tuning Map (cents)
<1199.787, 1901.108, 2787.186, 3368.603, 4152.877]
 
TE Mistunings (cents)
<-0.213, -0.847, 0.872, -0.223, 1.559]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.928704
Adjusted Error 1.276973 cents
TE Error 0.369128 cents/octave

Hemiwürschmidt (31 & 130)

Equal Temperament Mappings
23571113
[<31497287107115]
<130206302365450481]>
 
Reduced Mapping
23571113
[<1-122-310]
<0162540-39]>
 
TE Generator Tunings (cents)
<1199.8631, 193.8064]
 
TE Step Tunings (cents)
<2.29311, 8.68290]
 
TE Tuning Map (cents)
<1199.863, 1901.039, 2787.339, 3368.758, 4152.667, 4440.182]
 
TE Mistunings (cents)
<-0.137, -0.916, 1.025, -0.068, 1.349, -0.346]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 7.292742
Adjusted Error 1.271908 cents
TE Error 0.343718 cents/octave

Hendec (72 & 46)

Equal Temperament Mappings
23571113
[<72114167202249266]
<4673107129159170]>
 
Reduced Mapping
23571113
[<258568]
<0-6-1123-2]>
 
TE Generator Tunings (cents)
<600.3833, 183.3149]
 
TE Step Tunings (cents)
<13.56092, 4.87783]
 
TE Tuning Map (cents)
<1200.767, 1902.027, 2786.602, 3368.546, 4152.244, 4436.436]
 
TE Mistunings (cents)
<0.767, 0.072, 0.288, -0.280, 0.927, -4.091]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.393470
Adjusted Error 2.087353 cents
TE Error 0.564082 cents/octave

Hendecatonic (99 & 22)

Equal Temperament Mappings
2357
[<99157230278]
<22355162]>
 
Reduced Mapping
2357
[<11172630]
<01-12]>
 
TE Generator Tunings (cents)
<109.0526, 48.4912]
 
TE Step Tunings (cents)
<12.07021, 0.21039]
 
TE Tuning Map (cents)
<1199.579, 1902.386, 2786.877, 3368.562]
 
TE Mistunings (cents)
<-0.421, 0.431, 0.564, -0.264]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 5.169614
Adjusted Error 0.792784 cents
TE Error 0.282395 cents/octave

Hendecatonic (22 & 77)

Equal Temperament Mappings
235711
[<2235516276]
<77122179216266]>
 
Reduced Mapping
235711
[<1118253238]
<0-11-20]>
 
TE Generator Tunings (cents)
<109.0980, 61.0038]
 
TE Step Tunings (cents)
<9.36497, 12.90972]
 
TE Tuning Map (cents)
<1200.078, 1902.760, 2788.453, 3369.127, 4145.723]
 
TE Mistunings (cents)
<0.078, 0.805, 2.139, 0.302, -5.595]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 4.729683
Adjusted Error 2.991964 cents
TE Error 0.864871 cents/octave

Hestia (72 & 34d & 29)

Equal Temperament Mappings
235711
[<72114167202249]
<34547996118]
<29466781100]>
 
Reduced Mapping
235711
[<100-5-2]
<02164]
<00243]>
 
TE Generator Tunings (cents)
<1200.5414, 950.6437, 917.0449]
 
TE Step Tunings (cents)
<15.34847, 2.25961, 0.64222]
 
TE Tuning Map (cents)
<1200.541, 1901.287, 2784.733, 3369.335, 4152.627]
 
TE Mistunings (cents)
<0.541, -0.668, -1.580, 0.509, 1.309]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.318449
Adjusted Error 1.629739 cents
TE Error 0.471100 cents/octave

Hestia (72 & 34d & 29)

Equal Temperament Mappings
23571113
[<72114167202249266]
<34547996118126]
<29466781100107]>
 
Reduced Mapping
23571113
[<100-5-2-1]
<021644]
<002432]>
 
TE Generator Tunings (cents)
<1200.7278, 950.8852, 917.0524]
 
TE Step Tunings (cents)
<14.65264, 2.88828, 1.63918]
 
TE Tuning Map (cents)
<1200.728, 1901.770, 2784.990, 3369.882, 4153.242, 4436.918]
 
TE Mistunings (cents)
<0.728, -0.185, -1.324, 1.056, 1.924, -3.610]
 
Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.
 
Complexity 0.267592
Adjusted Error 2.276514 cents
TE Error 0.615201 cents/octave

Hestia (72 & 29g & 34d)

Equal Temperament Mappings
2357111317
[<72114167202249266294]
<29466781100107118]
<34547996118126139]>
 
Reduced Mapping
2357111317
[<100-5-2-11]
<