## 12-Edo + Za (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 + Ya (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

## 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

## 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

## Andromeda (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

## Andromeda (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

## 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

## Archagall (83 & 22)

Equal Temperament Mappings
27585
[ ⟨83517532]
22137141] ⟩

Reduced Mapping
27585
[ ⟨156]
031] ⟩

TE Generator Tunings (cents)
⟨1199.9826, 491.5392]

TE Step Tunings (cents)
⟨14.01936, 1.65342]

TE Tuning Map (cents)
⟨1199.983, 7474.530, 7691.435]

TE Mistunings (cents)
⟨-0.017, -0.052, 0.165]

Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE

 Complexity 0.200650 Adjusted Error 0.119346 cents TE Error 0.018620 cents/octave

## Archagall (83 & 61)

Equal Temperament Mappings
217/1575/64
[ ⟨831519]
611114] ⟩

Reduced Mapping
217/1575/64
[ ⟨11-1]
0-23] ⟩

TE Generator Tunings (cents)
⟨1199.4843, 491.3736]

TE Step Tunings (cents)
⟨13.31923, 1.54080]

TE Tuning Map (cents)
⟨1199.484, 216.737, 274.636]

TE Mistunings (cents)
⟨-0.516, 0.050, 0.054]

Show POTE tunings
These calculations use inharmonic TE. You can also use subgroup TE

 Complexity 9.890078 Adjusted Error 0.365015 cents TE Error 0.365015 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

## Arcturus (b13 & b2)

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

## Birugugu (31 & 27 & 7p)

Equal Temperament Mappings
2357
[ ⟨31497287]
27436376]
7111620] ⟩

Reduced Mapping
2357
[ ⟨1106]
0205]
001-2] ⟩

TE Generator Tunings (cents)
⟨1199.1808, 350.6521, 2788.8375]

TE Step Tunings (cents)
⟨23.44414, 16.37959, 4.30910]

TE Tuning Map (cents)
⟨1199.181, 1900.485, 2788.837, 3370.671]

TE Mistunings (cents)
⟨-0.819, -1.470, 2.524, 1.845]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.183325 Adjusted Error 2.489043 cents TE Error 0.886615 cents/octave

## Biruyo (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

## Biruyo Nowa (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

## 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

## Blacksmith-Farrier (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

## 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

## 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

## 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 (b13 & b62)

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

## Canou (99 & 19 & 94)

Equal Temperament Mappings
2357
[ ⟨99157230278]
19304453]
94149218264] ⟩

Reduced Mapping
2357
[ ⟨100-1]
0122]
004-3] ⟩

TE Generator Tunings (cents)
⟨1199.9597, 1902.3090, -254.6168]

TE Step Tunings (cents)
⟨8.61255, 3.38568, 3.01052]

TE Tuning Map (cents)
⟨1199.960, 1902.309, 2786.151, 3368.509]

TE Mistunings (cents)
⟨-0.040, 0.354, -0.163, -0.317]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.316194 Adjusted Error 0.369246 cents TE Error 0.131528 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 (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

## Cassandra (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

## 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 (b57 & b78)

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 (b21 & b57)

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 17.482798 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

## 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

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

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

## 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

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

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

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

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

## Etypyth (46 & 17g & 58)

Equal Temperament Mappings
237111317
[ ⟨4673129159170188]
172748596370]
5892163201215237] ⟩

Reduced Mapping
237111317
[ ⟨100712-13]
010-4-79]
001111] ⟩

TE Generator Tunings (cents)
⟨1199.3615, 1903.0184, 3368.8116]

TE Step Tunings (cents)
⟨11.19388, 5.71177, 10.12660]

TE Tuning Map (cents)
⟨1199.361, 1903.018, 3368.812, 4152.268, 4440.020, 4904.278]

TE Mistunings (cents)
⟨-0.639, 1.063, -0.014, 0.950, -0.507, -0.677]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.177887 Adjusted Error 1.651598 cents TE Error 0.404064 cents/octave

## Etypythia (46 & 58 & 121 & 29g)

Equal Temperament Mappings
2357111317
[ ⟨4673107129159170188]
5892135163201215237]
121192281340419448495]
29466781100107118] ⟩

Reduced Mapping
2357111317
[ ⟨1000712-13]
0100-4-79]
0010000]
0001111] ⟩

TE Generator Tunings (cents)
⟨1199.3615, 1903.0184, 2786.3137, 3368.8116]

TE Step Tunings (cents)
⟨2.91870, 3.13312, 6.99347, 1.28170]

TE Tuning Map (cents)
⟨1199.361, 1903.018, 2786.314, 3368.812, 4152.268, 4440.020, 4904.278]

TE Mistunings (cents)
⟨-0.639, 1.063, 0.000, -0.014, 0.950, -0.507, -0.677]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.022979 Adjusted Error 1.529082 cents TE Error 0.374091 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

## Galaxy (46 & 121 & 270)

Equal Temperament Mappings
2357111317
[ ⟨4673107129159170188]
121192281340419448495]
2704286277589349991104] ⟩

Reduced Mapping
2357111317
[ ⟨105-4-5-4-1]
013-3-3-4-2]
009-14-16-17-10] ⟩

TE Generator Tunings (cents)
⟨1199.9096, 1901.9711, -991.0288]

TE Step Tunings (cents)
⟨-1.43783, 0.04857, 4.66731]

TE Tuning Map (cents)
⟨1199.910, 1901.971, 2786.202, 3368.852, 4151.000, 4439.968, 4906.437]

TE Mistunings (cents)
⟨-0.090, 0.016, -0.112, 0.026, -0.318, -0.560, 1.481]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.562315 Adjusted Error 0.643247 cents TE Error 0.157371 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

## 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

## Gentsemicanou (80 & 14cf & 38df)

Equal Temperament Mappings
23571113
[ ⟨80127186225277296]
142232394851]
386088106131140] ⟩

Reduced Mapping
23571113
[ ⟨200-210]
012223]
004-315] ⟩

TE Generator Tunings (cents)
⟨599.9839, 1902.7366, -254.3343]

TE Step Tunings (cents)
⟨11.46953, -1.92829, 8.14214]

TE Tuning Map (cents)
⟨1199.968, 1902.737, 2788.136, 3368.508, 4151.123, 4436.538]

TE Mistunings (cents)
⟨-0.032, 0.782, 1.822, -0.318, -0.195, -3.989]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.486440 Adjusted Error 2.156855 cents TE Error 0.582865 cents/octave

## Gentsemiparakleismic (80 & 38df)

Equal Temperament Mappings
23571113
[ ⟨80127186225277296]
386088106131140] ⟩

Reduced Mapping
23571113
[ ⟨2-3-2-11-4-4]
01314352324] ⟩

TE Generator Tunings (cents)
⟨600.0578, 284.8435]

TE Step Tunings (cents)
⟨11.50703, 7.35667]

TE Tuning Map (cents)
⟨1200.116, 1902.793, 2787.694, 3368.888, 4151.170, 4436.014]

TE Mistunings (cents)
⟨0.116, 0.838, 1.380, 0.062, -0.148, -4.514]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 7.342457 Adjusted Error 2.208053 cents TE Error 0.596700 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

## 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

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 (31 & 24)

Equal Temperament Mappings
23711
[ ⟨314987107]
24386783] ⟩

Reduced Mapping
23711
[ ⟨1162]
02-115] ⟩

TE Generator Tunings (cents)
⟨1201.7305, 349.3433]

TE Step Tunings (cents)
⟨27.87525, 14.06657]

TE Tuning Map (cents)
⟨1201.731, 1900.417, 3367.607, 4150.177]

TE Mistunings (cents)
⟨1.731, -1.538, -1.219, -1.140]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 2.157182 Adjusted Error 3.558935 cents TE Error 1.028763 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

## Hemif (17 & 24)

Equal Temperament Mappings
2313
[ ⟨172763]
243889] ⟩

Reduced Mapping
2313
[ ⟨114]
02-1] ⟩

TE Generator Tunings (cents)
⟨1198.8943, 351.6847]

TE Step Tunings (cents)
⟨48.17267, 15.83162]

TE Tuning Map (cents)
⟨1198.894, 1902.264, 4443.892]

TE Mistunings (cents)
⟨-1.106, 0.309, 3.365]

Show POTE tunings
This is a trivial subgroup of the rational numbers so TE is TE is TE.

 Complexity 0.668335 Adjusted Error 3.086669 cents TE Error 0.834136 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 rationa