31edo chord names

Various 31edo 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.

	vm3	m3	~3	M3	^M3	v4	P4	~4
triad	Cvm	Cm	C~	C	C^	Cv4	C4	C~4
~6	Cvm~6	Cm~6	C~6	C,~6	C^,~6	Cv4~6	C4~6	C~4~6
M6	Cvm,6	Cm6	C~,6	C6	C^,6	Cv4,6	C4,6	C~4,6
^M6	Cvm^6	Cm^6	C~^6	C,^6	C^6	Cv4^6	C4^6	C~4^6
vm7	Cvm7	Cmv7	C~v7	C,v7	C^v7	Cv4v7	C4v7	C~4v7
m7	Cvm,7	Cm7	C~,7	C7	C^,7	Cv4,7	C4,7	C~4,7
~7	Cvm~7	Cm~7	C~7	C,~7	C^,~7	Cv4~7	C4~7	C~4~7
M7	CvmM7	CmM7	C~M7	CM7	C^,M7	Cv4M7	C4M7	C~4M7
^M7	Cvm^M7	Cm^M7	C~^M7	C,^M7	C^M7	Cv4^M7	C4^M7	C~4^M7

A comma (the actual punctuation mark ",") is spoken as "add", thus C,v7 is "C add-down-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. C^,~6 is clear without a comma if limiting oneself to 31edo. However, 53-edo and other edos have an upmid 3rd and 7th, and C^~6 would be P1 ^~3 P5 ^~6. In addition, "upmid" is a general term for slightly sharp neutral. One could play an upmid chord on a 31edo guitar by bending the mid 3rd up slightly.

Note that 4:5:6:7 = C E G vBb is named C,v7 not Cv7 because Cv7 is an alternate name for C~v7. 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 E G vBb	C add-down-7	C,v7	C har7	Ch7
7/(7:6:5:4)	C vEb vGb vBb	C downminor7 downflat-5	Cvm7(vb5)	C sub7	Cs7
12/(12:10:8:7)	C Eb G ^A	C minor up-6	Cm^6	C sub6	Cs6