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. | |||
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=Seventh | == Seventh chords == | ||
While triads show promise, the real fun in | 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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= | == 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:22edo]] | ||
[[Category: | [[Category:Chords]] | ||
[[Category: | [[Category:Pajara]] | ||
[[Category: | [[Category:Porcupine]] | ||
[[Category: | [[Category:Superpyth]] |