41edo chord names

Various 41edo 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	^m3	~3	vM3	M3	^M3	v4	P4	^4	~4
triad	Cvm	Cm	C^m	C~	Cv	C	C^	Cv4	C4	C^4	C~4
~6	Cvm~6	Cm~6	C^m~6	C~6	Cv,~6	C,~6	C^,~6	Cv4~6	C4~6	C^4~6	C~4~6
vM6	Cvm6	Cmv6	C^mv6	C~v6	Cv6	C,v6	C^v6	Cv4v6	C4v6	C^4v6	C~4v6
M6	Cvm,6	Cm6	C^m,6	C~,6	Cv,6	C6	C^,6	Cv4,6	C4,6	C^4,6	C~4,6
^M6	Cvm^6	Cm^6	C^m6	C~^6	Cv^6	C,^6	C^6	Cv4^6	C4^6	C^4^6	C~4^6
vm7	Cvm7	Cmv7	C^mv7	C~v7	Cv7	C,v7	C^v7	Cv4v7	C4v7	C^4v7	C~4v7
m7	Cvm,7	Cm7	C^m,7	C~,7	Cv,7	C7	C^,7	Cv4,7	C4,7	C^4,7	C~4,7
^m7	Cvm^7	Cm^7	C^m7	C~^7	Cv^7	C,^7	C^7	Cv4^7	C4^7	C^4^7	C~4^7
~7	Cvm~7	Cm~7	C^m~7	C~7	Cv,~7	C,~7	C^,~7	Cv4~7	C4~7	C^4~7	C~4~7
vM7	CvmM7	CmvM7	C^mvM7	C~vM7	CvM7	C,vM7	C^vM7	Cv4vM7	C4vM7	C^4vM7	C~4vM7
M7	Cvm,M7	CmM7	C^m,M7	C~M7	Cv,M7	CM7	C^,M7	Cv4M7	C4M7	C^4M7	C~4M7
^M7	Cvm^M7	Cm^M7	C^mM7	C~^M7	Cv^M7	C,^M7	C^M7	Cv4^M7	C4^M7	C^4^M7	C~4^M7

A comma (the actual punctuation mark ",") 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. C^,~6 is clear without a comma if limiting oneself to 41edo. 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 Kite guitar by bending the upminor 3rd up slightly more than half a fret.

P1-vm3-P5-M7 is named vm,M7 = downminor add major 7. One might think that the "add" could be omitted, and it could be named vmM7. But there's a rule that in a 7th chord, an initial arrow affects both the 3rd and the 7th. So vmM7 is a minor-major chord with both the 3rd and 7th downed, i.e. P1-vm3-P5-vM7.