# Middle Tyning Chord Notation

This is an extension of chord symbols for microtonal purposes,
assuming marvel tempering (225:224 tempered out).
Most of it will work with just intonation.
The base chord is a 4:5:6 triad.
Pitch names can follow tricycle notation.
The idea is that names look as conventional as possible
but the chords are still pinned down more precisely.
The tuning will depend on the temperament in effect.

## Added pitches

⁷ | 9/5 |

7 | 16/9 |

z | 7/4 |

-5 | 13/9 or 64/45 |

♭5 | 10/7 or 36/25 |

♯11 | 45/16 (45/32) |

+11 | 11/4 (11/8) |

♯4 | 7/5 |

+4 | 25/18 |

⁹ | 9/4 (9/8) |

9 | 20/9 (10/9) |

♯6 | 7/4 |

## Δ chords

A "Δ" chord follows the major-seventh pattern,
so these pitches are interpreted differently and
may be implied (obviously the 7 is).

7 | 15/8 |

9 | 9/4 (9/8) |

+11 | 11/4 |

13 | 13/4 |

As a variation, a "∇" chord follows the harmonic series,
with pitch numbers referring to harmonic partials
(with suitable octave equivalence).
An "h" can also be used before a pitch number to
specify the harmonic series, so "h7" as "harmonic seventh"
or "z".

## Thirds

These symbols replace the third rather than adding a pitch.

sm | 7/6 |

m | 6/5 |

n | 11/9 |

n₊ | 16/13 |

S | 9/7 |

## Examples

G | G B D₂ | 4:5:6 |

G⁷ | G B D₂ F₃ | 4:5:6:9/5 |

G7 | G B D₂ F₂ | 4:5:6:16/9 |

Gz | G B D₂ E♯₃ | 4:5:6:7 |

Gh7 | G B D₂ E♯₃ | 4:5:6:7 |

G∇7 | G B D₂ E♯₃ | 4:5:6:7 |

G9 | G B D₂ A₃ | 4:5:6:7:20/9 |

G⁹ | G B D₂ A₁ | 4:5:6:9 |

Gz⁹ | G B D₂ E♯₃ A₁ | 4:5:6:7:9 |

G∇9 | G B D₂ E♯₃ A₁ | 4:5:6:7:9 |

Gm | G B♭ D₂ | 10:12:15 |

Gsm | G A♯₁ D₂ | 6:7:9 |

## Roots (lower case for minors)

I | 1/1 |

♭II | 16/15 or 15/14 |

II₋ | 10/9 |

II₊ | 9/8 |

SII | 8/7 |

♯II | 7/6 |

s♭III | 7/6 |

♭III₋ | 32/27 |

♭III | 6/5 |

nIII | 11/9 |

nIII₊ | 16/13 |

III | 5/4 |

III₊ | 81/64 |

SIII | 9/7 |

IV | 4/3 |

♯IV₋ | 25/18 or 11/8 |

♯IV₊ | 45/32 or 7/5 |

♭V₋ | 64/45 or 10/7 |

♭V₊ | 36/25 or 16/11 |

V | 3/2 |

♭VI | 8/5 |

nIII₋ | 13/8 |

nIII | 18/11 |

VI | 5/3 |

♯VI | 7/4 |

♭VII₋ | 9/5 |

♭VII₊ | 16/9 |

VII | 15/8 |