31edo chord names: Difference between revisions

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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.
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.


{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" | Added
! colspan="2" | Third →
note
! vm3 = 7
! colspan="8" | Third
! m3 = 8
! ~3 = 9
! M3 = 10
! ^M3 = 11
! v4 = 12
! P4 = 13
! ~4 = 14
|-
|-
! vm3
! colspan="2" | Triads with P5 = 18
! m3
! ~3
! M3
! ^M3
! v4
! P4
! ~4
|-
! (Triad)
| Cvm
| Cvm
| Cm
| Cm
Line 27: Line 26:
| C~4
| C~4
|-
|-
! ~6
! rowspan="5" | Other<br />triads
! v5 = 17
| Cvm(v5)
| Cm(v5)
| C~(v5)
| C(v5)
| C^(v5)
| Cv4(v5)
| C4(v5)
| C~4(v5)
|-
! d5 = 16
| Cvd
| Cd
| C^d
| C(b5)
| C^(b5)
| Cv4(b5)
| C4(b5)
| C~4(b5)
|-
! vd5 = 15
| Cvd(v5)
| Cd(v5)
| C^d(v5)
| C(vb5)
| C^(vb5)
| Cv4(vb5)
| C4(vb5)
| C~4(vb5)
|-
! ^5 = 19
| Cvm(^5)
| Cm(^5)
| C~(^5)
| C(^5)
| C^(^5)
| Cv4(^5)
| C4(^5)
| C~4(^5)
|-
! a5 = 20
| ''(vAb^)''
| Cm(#5)
| C~a
| Ca
| C^a
| Cv4(#5)
| ''(Fvm)''
| C~4(#5)
|-
! rowspan="8" | Tetrads<br />with a<br />P5
! ~6 = 22
| Cvm~6
| Cvm~6
| Cm~6
| Cm~6
Line 37: Line 88:
| C~4~6
| C~4~6
|-
|-
! M6
! M6 = 23
| Cvm,6
| Cvm,6
| Cm6
| Cm6
Line 47: Line 98:
| C~4,6
| C~4,6
|-
|-
! ^M6
! ^M6 = 24
| Cvm^6
| Cvm^6
| Cm^6
| Cm^6
Line 57: Line 108:
| C~4^6
| C~4^6
|-
|-
! vm7
! vm7 = 25
| Cvm7
| Cvm7
| Cmv7
| Cmv7
Line 67: Line 118:
| 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
Line 97: Line 148:
| C~4M7
| C~4M7
|-
|-
! ^M7
! ^M7 = 29
| Cvm^M7
| Cvm^M7
| Cm^M7
| Cm^M7
Line 126: Line 177:
| Ch7
| Ch7
|-
|-
| 7/6/5/4
| 4:5:6:7:9
| C E G vBb D
| C-nine down-7
| C9(v7)
| C har7
| Ch7
|-
| 7:6:5:4
| C vEb vGb vBb
| C vEb vGb vBb
| C downminor7 downflat-5
| C downminor7 downflat-5
| Cvm7(vb5)  
| Cvm7(vb5)
| C sub7
| C sub7
| Cs7
| Cs7
|-
|-
| 12/10/8/7
| 12:10:8:7
| C Eb G ^A
| C Eb G ^A
| C minor up-6
| C minor up-6
Line 139: Line 197:
| C sub6
| C sub6
| Cs6
| Cs6
|-
| 9:7:6:5:4
| C ^E G Bb D
| C-nine up-3
| C9(v3)
| C sub9
| 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"
Line 200: Line 264:
|-
|-
| Augmented
| Augmented
| +
| +
|  
|  
|-
|-
Line 211: Line 275:


== See also ==
== See also ==
* [[15edo chord names]]
* [[19edo chord names]]
* [[19edo chord names]]
* [[22edo chord names]]
* [[22edo chord names]]