22edo chord names

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Various 22edo triads, 6th and 7th chords, named via ups and downs. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming.

Highly implausible chords are named as a more plausible homonym, e.g. 0–9–14 = C4(^5) becomes 9–14–22 = Fm, where "a" stands for augmented and "d" stands for diminished.

Third → m3 ^m3 vM3 M3 P4 ^4
Triads with P5 Cm C^m Cv C C4 C^4
Other
triads
v5 Cm(v5) C^m(v5) Cv(v5) C(v5) C4(v5) C^4(v5)
^d5 Cd(^5) C^d(^5) Cv(^b5) C(^b5) C4(^b5) C^4(^b5)
d5 Cd C^d Cv(b5) C(b5) C4(b5) C^4(b5)
^5 (Ab) C^m(^5) Cv(^5) C(^5) (Fm) C^4(^5)
va5 Cm(v#5) (^Abv) Cv(v#5) C(v#5) (F^m) C^4(v#5)
Tetrads
with a P5
vM6 Cmv6 C^mv6 Cv6 C,v6 C4v6 C^4v6
M6 Cm6 C^m,6 Cv,6 C6 C4,6 C^4,6
m7 Cm7 C^m,7 Cv,7 C7 C4,7 C^4,7
^m7 Cm^7 C^m7 Cv^7 C,^7 C4^7 C^4^7
vM7 CmvM7 C^mvM7 CvM7 C,vM7 C4vM7 C^4vM7
M7 CmM7 C^mM7 Cv,M7 CM7 C4M7 C^4M7

A punctuation comma (",") is spoken as "add", thus Cv,7 is "C-down add-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord.

4:5:6:7 = C vE G Bb is named Cv,7. To get a shorter name for this important chord, one could call it a harmonic7 chord, or one could borrow from color notation to call it a har7 chord, written Ch7. Names for subharmonic chords can be similarly shortened.

Chord Notes Ups and downs name Color name
4:5:6:7 C vE G Bb C-down add-7 Cv,7 C har7 Ch7
4:5:6:7:9 C vE G Bb D C-nine down-3 C9(v3) C har9 Ch9
7:6:5:4 C Eb ^Gb Bb C minor7 upflat-5 Cm7(^b5) C sub7 Cs7
12:10:8:7 C ^Eb G A C upminor add-6 C^m,6 C sub6 Cs6
9:7:6:5:4 C E G ^Bb D C-nine up-7 C9(^7) C sub9 Cs9

See also