22edo chords: Difference between revisions

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22-edo 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.
[[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 [[triad]]s. This list is by no means an exhaustive one, but it highlights some common and interesting ones.
22edo contains many [[triad]]s. This list is by no means an exhaustive one, but it highlights some common and interesting ones.


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=Seventh Chords=
== Seventh chords ==
While triads show promise, the real fun in 22-edo is [[tetrad]]s. There is a wealth of interesting tertian based tetrads.
While triads show promise, the real fun in 22edo is [[tetrad]]s. There is a wealth of interesting tertian-based tetrads.


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=see also=
== Ups and downs notation ==
<ul><li>[[22edo|22edo]]</li><li>[[22edo_tetrachords|22edo Tetrachords]]</li><li>[[Chords of orwell|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><li>[[22edo_Chord_Names|22edo Chord Names]]</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]]