22edo chords: Difference between revisions
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[[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 == | ||
22edo contains many [[triad]]s. This list is by no means an exhaustive one, but it highlights some common and interesting ones. | |||
{| class="wikitable" | |||
! | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] name | |||
! colspan="2" | | |||
! | |||
|- | |||
| |0-381-709 | |||
0-7-13 | |||
|Downmajor, Down | |||
v | |||
|vM3, P5 | |||
| |Major | |||
M, Maj | |||
|M3, P5 | |||
| |[[File:major_triad.mp3]] | |||
|- | |||
| |0-327-709 | |||
0-6-13 | |||
|Upminor | |||
^m | |||
|^m3, P5 | |||
| | Minor | |||
m, min, - | |||
|m3, P5 | |||
| |[[File:minor_triad.mp3]] | |||
|- | |||
| | 0-436-709 | |||
0-8-13 | |||
|Major | |||
(nothing needed) | |||
|M3, P5 | |||
| |SuperMajor | |||
S, Sup, ^ | |||
|S3, P5 | |||
| | | |||
[[File:super_triad.mp3]] | |||
|- | |||
| | 0-272-709 | |||
0-5-13 | |||
|Minor | |||
m | |||
|m3, P5 | |||
| |SubMinor | |||
s, Sub, v | |||
|s3, P5 | |||
| |[[File:sub_triad.mp3]] | |||
|- | |||
| | 0-327-654 | |||
0-6-12 | |||
|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 | |||
t | |||
|s3, t5 | |||
| |[[File:tiny_triad.mp3]] | |||
|- | |||
| | 0-436-872 | |||
0-8-16 | |||
|Augmented | |||
a, aug | |||
|M3, aug5 | |||
| |Giant | |||
G | |||
|S3, G5 | |||
| |[[File:giant_chord.mp3]] | |||
|} | |||
== Seventh chords == | |||
While triads show promise, the real fun in 22edo is [[tetrad]]s. There is a wealth of interesting tertian-based tetrads. | |||
{| class="wikitable" | |||
! | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] name | |||
! colspan="2" | | |||
! | |||
|- | |||
| |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 | |||
| |[[File:min7.mp3]] | |||
|- | |||
| |0-436-709-1145 | |||
0-8-13-21 | |||
|Major7 | |||
M7 | |||
|M3, P5, M7 | |||
| | Super 7th | |||
Sup7, S7,^7 | |||
| |S3, P5, S7 | |||
| |[[File:sup7.mp3]] | |||
|- | |||
| |0-272-709-981 | |||
0-5-13-18 | |||
|Minor7 | |||
m7 | |||
|m3, P5, m7 | |||
| |Sub 7th | |||
Sub7, s7 | |||
| |s3, P5, s7 | |||
| |[[File:sub7.mp3]] | |||
|- | |||
| | 0-381-709-981 | |||
0-7-13-18 | |||
|Down add7 | |||
v,7 | |||
|vM3, P5, m7 | |||
| |Harmonic 7th | |||
Harm7, H7 | |||
| |M3, P5, s7 | |||
| |[[File:har7_chord.mp3]] | |||
|- | |||
| | 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|inline=1|text=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 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 → | |||
! 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]] |