22edo chords: Difference between revisions

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22 EDO contains a huge wealth of harmonic sonorities for a curious musician to explore. Besides normal major and minor, 22 EDO features a nice amount of 7-limit and 11-limit 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]] [[chord]]s.


=Triads=
== Triads ==
22 EDO contains many possibilities for [[triad|triad]]s, this list is by no means an exhaustive one, but it highlights some common and interesting one's.
22edo contains many [[triad]]s. This list is by no means an exhaustive one, but it highlights some common and interesting ones.


{| class="wikitable"
{| class="wikitable"
!
! colspan="2" |[[Ups and downs notation|ups and downs]] name
! colspan="2" |
!
|-
|-
| | Major
| |0-381-709
| | M3, P5
0-7-13
| | 0-381-709
|Downmajor, Down
| | M, Maj
v
| | [[File:major_triad.mp3]]
|vM3, P5
| |Major
M, Maj
|M3, P5
| |[[File:major_triad.mp3]]
|-
|-
| |0-327-709
0-6-13
|Upminor
^m
|^m3, P5
| | Minor
| | Minor
| | m3, P5
m, min, -
| | 0-327-709
|m3, P5
| | m, min, -
| |[[File:minor_triad.mp3]]
| | [[File:minor_triad.mp3]]
|-
|-
| | SuperMajor
| | S3, P5
| | 0-436-709
| | 0-436-709
| | S, Sup, ^
0-8-13
| | [[File:super_triad.mp3]]
|Major
(nothing needed)
|M3, P5
| |SuperMajor
S, Sup, ^
|S3, P5
| |
[[File:super_triad.mp3]]
|-
|-
| | SubMinor
| | s3, P5
| | 0-272-709
| | 0-272-709
| | s, Sub, v
0-5-13
| | [[File:sub_triad.mp3]]
|Minor
m
|m3, P5
| |SubMinor
s, Sub, v
|s3, P5
| |[[File:sub_triad.mp3]]
|-
|-
| | Magical
| | m3, m5
| | 0-327-654
| | 0-327-654
| | mag, *
0-6-12
| | [[File:magic_triad.mp3]]
|Upminor down5
^m(v5)
|^m3, v5
| |Magical
mag, *
|m3, m5
| |[[File:magic_triad.mp3]]
|-
|-
| |0-272-545
0-5-10
|Diminished
d, dim
|m3, d5
| | Tiny
| | Tiny
| | s3, t5
t
| | 0-272-545
|s3, t5
| | t
| |[[File:tiny_triad.mp3]]
| | [[File:tiny_triad.mp3]]
|-
|-
| | Giant
| | S3, G5
| | 0-436-872
| | 0-436-872
| | G
0-8-16
| | [[File:giant_chord.mp3]]
|Augmented
a, aug
|M3, aug5
| |Giant
G
|S3, G5
| |[[File:giant_chord.mp3]]
|}
|}


=Seventh Chords=
== Seventh chords ==
While triads show promise, the real fun is [[tetrad|tetrad]]s in 22 EDO. There are a wealth of interesting sonorities by a variety of four note tertian based chords.
While triads show promise, the real fun in 22edo is [[tetrad]]s. There is a wealth of interesting tertian-based tetrads.


{| class="wikitable"
{| class="wikitable"
!
! colspan="2" |[[Ups and downs notation|ups and downs]] name
! colspan="2" |
!
|-
|-
| | Major Seventh
| |0-381-709-1090
| | M3, P5, M7
0-7-13-20
| | 000-381-709-1090
|Downmajor7
| | Maj7, M7
vM7
| |  
|vM3, P5, vM7
| | Major 7th
Maj7, M7
| |M3, P5, M7
| |
|-
|-
| | Minor Seventh
| |0-327-709-1036
| | m3, P5, m7
0-6-13-19
| | 000-327-709-1036
|Upminor7
| | min7, m7, -7
^m7
| | [[File:min7.mp3]]
|^m3, P5, ^m7
| |Minor 7th
min7, m7, -7
| |m3, P5, m7
| |[[File:min7.mp3]]
|-
|-
| | Super Seventh
| |0-436-709-1145
| | S3, P5, S7
0-8-13-21
| | 000-436-709-1145
|Major7
| | Sup7, S7,^7
M7
| | [[File:sup7.mp3]]
|M3, P5, M7
| | Super 7th
Sup7, S7,^7
| |S3, P5, S7
| |[[File:sup7.mp3]]
|-
|-
| | Sub Seventh
| |0-272-709-981
| | s3, P5, s7
0-5-13-18
| | 000-272-709-981
|Minor7
| | Sub7, s7
m7
| | [[File:sub7.mp3]]
|m3, P5, m7
| |Sub 7th
Sub7, s7
| |s3, P5, s7
| |[[File:sub7.mp3]]
|-
|-
| | Magical Seventh
| | 0-381-709-981
| | m3, m5, s7
0-7-13-18
| | 000-327-654-981
|Down add7
| | Mag7, *7
v,7
| |  
|vM3, P5, m7
| |Harmonic 7th
Harm7, H7
| |M3, P5, s7
| |[[File:har7_chord.mp3]]
|-
|-
| | Major Super seventh
| | 0-327-654-981
| | M7, P5, S7
0-6-12-18
| | 000-381-709-1145
| Upminor add7 down5
| | MS7, M^7
^m,7(v5)
| |  
| ^m3, v5, m7
| |Magical 7th
Mag7, *7
| |m3, m5, s7
| |
|-
|-
| | Minor Sub Seventh
| |0-381-709-1145
| | m7, P5, s7
0-7-13-21
| | 000-327-709-981
| Major7 down3
| | ms7
M7(v3)
| |  
|vM3, P5, M7
| |Major Super 7th
MS7, M^7
| |M7, P5, S7
| |
|-
|-
| | Super Minor Seventh
| |0-327-709-981
| | S3, P5, m7
0-6-13-18
| | 000-436-709-1036
|Upminor add7
| | Sm7
^m,7
| |  
|^m3, P5, m7
| |Minor Sub 7th
ms7
| |m7, P5, s7
| |
|-
|-
| | Sub Major Seventh
| |0-436-709-1036
| | s3, P5, M7
0-8-13-19
| | 000-272-709-1090
|Add upminor7
| | sM7
,^m7
| |  
|M3, P5, ^m7
| |Super Minor 7th
Sm7
| |S3, P5, m7
| |
|-
|-
| | Super Sub Seventh
| | 0-272-709-1090
| | S3, P5, s7
0-5-13-20
| | 000-436-709-981
|Minor downmajor7
| | Ss7, Supsub7
m,vM7
| |  
|m3, P5, vM7
| |Sub Major 7th
sM7
| |s3, P5, M7
| |
|-
|-
| | Harmonic Seventh
| |0-436-709-981
| | M3, P5, s7
0-8-13-18
| | 000-381-709-981
|Dom7
| | Harm7, H7
7
| | [[File:har7_chord.mp3]]
|M3, P5, m7
| |Super Sub 7th
Ss7, Supsub7
| |S3, P5, s7
| |
|-
|-
| | Tiny seventh
| |0-272-545-818
| | s3, t5, t7
0-5-10-15
| | 000-272-545-818
|Diminished7
| | t7
d7
| |  
|m3, d5, d7
| |Tiny 7th
t7
| |s3, t5, t7
| |
|-
|-
| | Giant Sixth
| |0-436-872-1145
| | S3, G5, G6
0-8-16-21
| | 000-436-872-1145
|Major7 sharp5
| | G6
M7(#5)
| |  
|M3, #5, M7
| |Giant 6th
G6
| |S3, G5, G6
| |
|-
|-
| | Harmonic Minor Sixth
| |0-327-709-927
| | m3, P5, S6
0-6-13-17
| | 000-327-709-927
|Upminor 6
| | Hm6
^m6
| |  
|^m3, P5, vM6
| |Harmonic Minor 6th
Hm6
| |m3, P5, S6
| |
|}
|}


=see also=
== Ups and downs notation ==
<ul><li>[[22edo|22edo]]</li><li>[[22edo_tetrachords|22edo Tetrachords]]</li><li>[[Chords of Orwell]]
{{todo|rework|inline=1|text=Properly merge this section into the rest of the page, in order to avoid duplicate or contradictory information.}}
</li></ul>     
{{See also|Ups and downs notation #Chords and Chord Progressions}}
Various [[22edo]] triads, 6th and 7th chords, named via [[Ups and downs notation|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 [[Chord homonym|homonym]], e.g. {{nowrap|0–9–14 {{=}} C4(^5)}} becomes {{nowrap|9–14–22 {{=}} Fm}}, where "a" stands for augmented and "d" stands for diminished.
 
{| class="wikitable"
|-
! colspan="2" | Third &rarr;
! m3
! ^m3
! vM3
! M3
! P4
! ^4
|-
! colspan="2" | Triads with P5
| Cm
| C^m
| Cv
| C
| C4
| C^4
|-
! rowspan="5" | Other<br />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)
|-
! rowspan="6" | Tetrads<br />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.
 
{| class="wikitable"
|-
! Chord
! Notes
! colspan="2" | Ups and downs name
! colspan="2" | 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 ==
* [[The 16 most stable triads of 22edo]]
* [[Chords of orwell]]
 
== External links ==
* [https://www.youtube.com/watch?v=fMeRlKlreV8 microtonal theory: 22edo triads] by xenpilled on YouTube
 
[[Category:22edo]]
[[Category:22edo]]
[[Category:chords]]
[[Category:Chords]]
[[Category:pajara]]
[[Category:Pajara]]
[[Category:porcupine]]
[[Category:Porcupine]]
[[Category:superpyth]]
[[Category:Superpyth]]

Latest revision as of 02:03, 20 August 2025

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

See also

External links

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