31edo chord names: Difference between revisions

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added dim and aug triads, also some 9th chords
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Ups and downs notation: added edostep sizes to the table
 
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== Ups and downs notation ==
== Ups and downs notation ==
Various [[31edo]] 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. ~4 and ^4 can be used interchangeably, as can ~5 and v5.
Various [[31edo]] 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. ~4 and ^4 can be used interchangeably, as can ~5 and v5.


Highly implausible chords are named as a more plausible [[Chord homonym|homonym]], e.g. 0-13-20 = C4(a5) becomes 13-20-31 = Fvm. "a" stands for augmented and "d" stands for diminished.
Highly implausible chords are named as a more plausible [[Chord homonym|homonym]], e.g. 0-13-20 = C4(a5) becomes 13-20-31 = Fvm. "a" stands for augmented and "d" stands for diminished.
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{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" |third ---->
! colspan="2" | Third →
! vm3
! vm3 = 7
! m3
! m3 = 8
! ~3
! ~3 = 9
! M3
! M3 = 10
! ^M3
! ^M3 = 11
! v4
! v4 = 12
! P4
! P4 = 13
! ~4
! ~4 = 14
|-
|-
! rowspan="6" |Triads
! colspan="2" | Triads with P5 = 18
! P5
| Cvm
| Cvm
| Cm
| Cm
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| C~4
| C~4
|-
|-
!~5
! rowspan="5" | Other<br />triads
|Cvm(v5)
! v5 = 17
|Cm(v5)
| Cvm(v5)
|C~(v5)
| Cm(v5)
|C(v5)
| C~(v5)
|C^(v5)
| C(v5)
|Cv4(v5)
| C^(v5)
|C4(v5)
| Cv4(v5)
|C~4(v5)
| C4(v5)
| C~4(v5)
|-
|-
!d5
! d5 = 16
|Cvd
| Cvd
|Cd
| Cd
|C^d
| C^d
|C(b5)
| C(b5)
|C^(b5)
| C^(b5)
|Cv4(b5)
| Cv4(b5)
|C4(b5)
| C4(b5)
|C~4(b5)
| C~4(b5)
|-
|-
!vd5
! vd5 = 15
|Cvd(v5)
| Cvd(v5)
|Cd(v5)
| Cd(v5)
|C^d(v5)
| C^d(v5)
|C(vb5)
| C(vb5)
|C^(vb5)
| C^(vb5)
|Cv4(vb5)
| Cv4(vb5)
|C4(vb5)
| C4(vb5)
|C~4(vb5)
| C~4(vb5)
|-
|-
!^5
! ^5 = 19
|Cvm(^5)
| Cvm(^5)
|Cm(^5)
| Cm(^5)
|C~(^5)
| C~(^5)
|C(^5)
| C(^5)
|C^(^5)
| C^(^5)
|Cv4(^5)
| Cv4(^5)
|C4(^5)
| C4(^5)
|C~4(^5)
| C~4(^5)
|-
|-
!a5
! a5 = 20
|''(vAb^)''
| ''(vAb^)''
|Cm(#5)
| Cm(#5)
|C~a
| C~a
|Ca
| Ca
|C^a
| C^a
|Cv4(#5)
| Cv4(#5)
|''(Fvm)''
| ''(Fvm)''
|C~4(#5)
| C~4(#5)
|-
|-
! rowspan="8" |Tetrads
! rowspan="8" | Tetrads<br />with a<br />P5
with a
! ~6 = 22
 
P5
! ~6
| Cvm~6
| Cvm~6
| Cm~6
| Cm~6
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| C~4~6
| C~4~6
|-
|-
! M6
! M6 = 23
| Cvm,6
| Cvm,6
| Cm6
| Cm6
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| C~4,6
| C~4,6
|-
|-
! ^M6
! ^M6 = 24
| Cvm^6
| Cvm^6
| Cm^6
| Cm^6
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| C~4^6
| C~4^6
|-
|-
! vm7
! vm7 = 25
| Cvm7
| Cvm7
| Cmv7
| Cmv7
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| C~4v7
| C~4v7
|-
|-
! m7
! m7 = 26
| Cvm,7
| Cvm,7
| Cm7
| Cm7
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| C~4,7
| C~4,7
|-
|-
! ~7
! ~7 = 27
| Cvm~7
| Cvm~7
| Cm~7
| Cm~7
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| C~4~7
| C~4~7
|-
|-
! M7
! M7 = 28
| CvmM7
| CvmM7
| CmM7
| CmM7
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| C~4M7
| C~4M7
|-
|-
! ^M7
! ^M7 = 29
| Cvm^M7
| Cvm^M7
| Cm^M7
| Cm^M7
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| Ch7
| Ch7
|-
|-
|4:5:6:7:9
| 4:5:6:7:9
|C E G vBb D
| C E G vBb D
|C-nine down-7
| C-nine down-7
|C9(v7)
| C9(v7)
|C har7
| C har7
|Ch7
| Ch7
|-
|-
| 7:6:5:4
| 7:6:5:4
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| Cs6
| Cs6
|-
|-
|9:7:6:5:4
| 9:7:6:5:4
|C ^E G Bb D
| C ^E G Bb D
|C-nine up-3
| C-nine up-3
|C9(v3)
| C9(v3)
|C sub9
| C sub9
|Cs9
| Cs9
|}
|}


== Extended jazz symbol set ==
== Extended jazz symbol set ==
[[File:31edo chord symbols.jpg|thumb|400px|No*ie's original proposition (2024-03-02).]]
[[File:31edo chord symbols.jpg|thumb|400px|tota*nox's original proposition (2024-03-02).]]<br />tota*nox proposes the following symbols:
No*ie proposes the following symbols:


{| class="wikitable"
{| class="wikitable"
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|-
|-
| Augmented
| Augmented
| +
| +
|  
|  
|-
|-