22edo chords

22edo contains a huge wealth of harmonies to explore. It has not only 5-limit major and minor but also various 7-limit and 11-limit chords.

Triads

22edo contains many triads. This list is by no means an exhaustive one, but it highlights some common and interesting ones.

	ups and downs name
0-381-709 0-7-13	Downmajor, Down v	vM3, P5	Major M, Maj	M3, P5
0-327-709 0-6-13	Upminor ^m	^m3, P5	Minor m, min, -	m3, P5
0-436-709 0-8-13	Major (nothing needed)	M3, P5	SuperMajor S, Sup, ^	S3, P5
0-272-709 0-5-13	Minor m	m3, P5	SubMinor s, Sub, v	s3, P5
0-327-654 0-6-12	Upminor down5 ^m(v5)	^m3, v5	Magical mag, *	m3, m5
0-272-545 0-5-10	Diminished d, dim	m3, d5	Tiny t	s3, t5
0-436-872 0-8-16	Augmented a, aug	M3, aug5	Giant G	S3, G5

Seventh chords

While triads show promise, the real fun in 22edo is tetrads. There is a wealth of interesting tertian-based tetrads.

	ups and downs name
0-381-709-1090 0-7-13-20	Downmajor7 vM7	vM3, P5, vM7	Major 7th Maj7, M7	M3, P5, M7
0-327-709-1036 0-6-13-19	Upminor7 ^m7	^m3, P5, ^m7	Minor 7th min7, m7, -7	m3, P5, m7
0-436-709-1145 0-8-13-21	Major7 M7	M3, P5, M7	Super 7th Sup7, S7,^7	S3, P5, S7
0-272-709-981 0-5-13-18	Minor7 m7	m3, P5, m7	Sub 7th Sub7, s7	s3, P5, s7
0-381-709-981 0-7-13-18	Down add7 v,7	vM3, P5, m7	Harmonic 7th Harm7, H7	M3, P5, s7
0-327-654-981 0-6-12-18	Upminor add7 down5 ^m,7(v5)	^m3, v5, m7	Magical 7th Mag7, *7	m3, m5, s7
0-381-709-1145 0-7-13-21	Major7 down3 M7(v3)	vM3, P5, M7	Major Super 7th MS7, M^7	M7, P5, S7
0-327-709-981 0-6-13-18	Upminor add7 ^m,7	^m3, P5, m7	Minor Sub 7th ms7	m7, P5, s7
0-436-709-1036 0-8-13-19	Add upminor7 ,^m7	M3, P5, ^m7	Super Minor 7th Sm7	S3, P5, m7
0-272-709-1090 0-5-13-20	Minor downmajor7 m,vM7	m3, P5, vM7	Sub Major 7th sM7	s3, P5, M7
0-436-709-981 0-8-13-18	Dom7 7	M3, P5, m7	Super Sub 7th Ss7, Supsub7	S3, P5, s7
0-272-545-818 0-5-10-15	Diminished7 d7	m3, d5, d7	Tiny 7th t7	s3, t5, t7
0-436-872-1145 0-8-16-21	Major7 sharp5 M7(#5)	M3, #5, M7	Giant 6th G6	S3, G5, G6
0-327-709-927 0-6-13-17	Upminor 6 ^m6	^m3, P5, vM6	Harmonic Minor 6th Hm6	m3, P5, S6

Ups and downs notation

Todo: rework

Properly merge this section into the rest of the page, in order to avoid duplicate or contradictory information.

See also: Ups and downs notation § Chords and Chord Progressions

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

External links

microtonal theory: 22edo triads by xenpilled on YouTube