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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
| | 000-327-809-981
| 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></ul>      [[Category:22edo]]
{{todo|rework|inline=1|text=Properly merge this section into the rest of the page, in order to avoid duplicate or contradictory information.}}
[[Category:chords]]
{{See also|Ups and downs notation #Chords and Chord Progressions}}
[[Category:pajara]]
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.
[[Category:porcupine]]
 
[[Category:superpyth]]
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:Chords]]
[[Category:Pajara]]
[[Category:Porcupine]]
[[Category:Superpyth]]
Retrieved from "https://en.xen.wiki/w/22edo_chords"