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31edo chord names: Difference between revisions

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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.
== 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.
 
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"
|+
!
!vm3
!m3
!~3
!M3
!^M3
!v4
!P4
!~4
|-
|-
!triad
! colspan="2" | Third →
|Cvm
! vm3 = 7
|Cm
! m3 = 8
|C~
! ~3 = 9
|C
! M3 = 10
|C^
! ^M3 = 11
|Cv4
! v4 = 12
|C4
! P4 = 13
|C~4
! ~4 = 14
|-
|-
!~6
! colspan="2" | Triads with P5 = 18
|Cvm~6
| Cvm
|Cm~6
| Cm
|C~6
| C~
|C,~6
| C
|C^,~6
| C^
|Cv4~6
| Cv4
|C4~6
| C4
|C~4~6
| C~4
|-
|-
!M6
! rowspan="5" | Other<br />triads
|Cvm,6
! v5 = 17
|Cm6
| Cvm(v5)
|C~,6
| Cm(v5)
|C6
| C~(v5)
|C^,6
| C(v5)
|Cv4,6
| C^(v5)
|C4,6
| Cv4(v5)
|C~4,6
| C4(v5)
| C~4(v5)
|-
|-
!^M6
! d5 = 16
|Cvm^6
| Cvd
|Cm^6
| Cd
|C~^6
| C^d
|C,^6
| C(b5)
|C^6
| C^(b5)
|Cv4^6
| Cv4(b5)
|C4^6
| C4(b5)
|C~4^6
| C~4(b5)
|-
|-
!vm7
! vd5 = 15
|Cvm7
| Cvd(v5)
|Cmv7
| Cd(v5)
|C~v7
| C^d(v5)
|C,v7
| C(vb5)
|C^v7
| C^(vb5)
|Cv4v7
| Cv4(vb5)
|C4v7
| C4(vb5)
|C~4v7
| C~4(vb5)
|-
|-
!m7
! ^5 = 19
|Cvm,7
| Cvm(^5)
|Cm7
| Cm(^5)
|C~,7
| C~(^5)
|C7
| C(^5)
|C^,7
| C^(^5)
|Cv4,7
| Cv4(^5)
|C4,7
| C4(^5)
|C~4,7
| C~4(^5)
|-
|-
!~7
! a5 = 20
|Cvm~7
| ''(vAb^)''
|Cm~7
| Cm(#5)
|C~7
| C~a
|C,~7
| Ca
|C^,~7
| C^a
|Cv4~7
| Cv4(#5)
|C4~7
| ''(Fvm)''
|C~4~7
| C~4(#5)
|-
|-
!M7
! rowspan="8" | Tetrads<br />with a<br />P5
|CvmM7
! ~6 = 22
|CmM7
| Cvm~6
|C~M7
| Cm~6
|CM7
| C~6
|C^,M7
| C,~6
|Cv4M7
| C^,~6
|C4M7
| Cv4~6
|C~4M7
| C4~6
| C~4~6
|-
|-
!^M7
! M6 = 23
|Cvm^M7
| Cvm,6
|Cm^M7
| Cm6
|C~^M7
| C~,6
|C,^M7
| C6
|C^M7
| C^,6
|Cv4^M7
| Cv4,6
|C4^M7
| C4,6
|C~4^M7
| C~4,6
|-
! ^M6 = 24
| Cvm^6
| Cm^6
| C~^6
| C,^6
| C^6
| Cv4^6
| C4^6
| C~4^6
|-
! vm7 = 25
| Cvm7
| Cmv7
| C~v7
| C,v7
| C^v7
| Cv4v7
| C4v7
| C~4v7
|-
! m7 = 26
| Cvm,7
| Cm7
| C~,7
| C7
| C^,7
| Cv4,7
| C4,7
| C~4,7
|-
! ~7 = 27
| Cvm~7
| Cm~7
| C~7
| C,~7
| C^,~7
| Cv4~7
| C4~7
| C~4~7
|-
! M7 = 28
| CvmM7
| CmM7
| C~M7
| CM7
| C^,M7
| Cv4M7
| C4M7
| C~4M7
|-
! ^M7 = 29
| Cvm^M7
| Cm^M7
| C~^M7
| C,^M7
| C^M7
| Cv4^M7
| C4^M7
| C~4^M7
|}
|}
A comma (the actual punctuation mark ",") is spoken as "add", thus C,v7 is "C add-down-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. C^,~6 is clear without a comma if limiting oneself to 31edo. However, 53-edo and other edos have an upmid 3rd and 7th, and C^~6 would be P1 ^~3 P5 ^~6. In addition, "upmid" is a general term for slightly sharp neutral. One could play an upmid chord on a 31edo guitar by bending the mid 3rd up slightly.
 
A punctuation comma (",") is spoken as "add", thus C,v7 is "C add-down-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. C^,~6 is clear without a comma or an "add" if limiting oneself to 31edo. However, some edos like 58-edo have an upmid 3rd and 6th, and C^~6 would be P1 ^~3 P5 ^~6.


Note that 4:5:6:7 = C E G vBb is named C,v7 not Cv7 because Cv7 is an alternate name for C~v7. 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.
Note that 4:5:6:7 = C E G vBb is named C,v7 not Cv7 because Cv7 is an alternate name for C~v7. 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"
{| class="wikitable"
|+
!chord
!notes
! colspan="2" |ups and downs name
! colspan="2" |color name
|-
|-
|4:5:6:7
! Chord
|C E G vBb
! Notes
|C add-down-7
! colspan="2" | Ups and downs name
|C,v7
! colspan="2" | Color name
|C har7
|Ch7
|-
|-
|7/(7:6:5:4)
| 4:5:6:7
|C vEb vGb vBb
| C E G vBb
|C downminor7 downflat-5
| C add-down-7
|Cvm7(vb5)
| C,v7
|C sub7
| C har7
|Cs7
| Ch7
|-
|-
|12/(12:10:8:7)
| 4:5:6:7:9
|C Eb G ^A
| C E G vBb D
|C minor up-6
| C-nine down-7
|Cm^6
| C9(v7)
|C sub6
| C har7
|Cs6
| Ch7
|-
| 7:6:5:4
| C vEb vGb vBb
| C downminor7 downflat-5
| Cvm7(vb5)
| C sub7
| Cs7
|-
| 12:10:8:7
| C Eb G ^A
| C minor up-6
| Cm^6
| C sub6
| Cs6
|-
| 9:7:6:5:4
| C ^E G Bb D
| C-nine up-3
| C9(v3)
| C sub9
| Cs9
|}
|}
== Extended jazz symbol set ==
[[File:31edo chord symbols.jpg|thumb|400px|tota*nox's original proposition (2024-03-02).]]<br />tota*nox proposes the following symbols:
{| class="wikitable"
|-
! Chord quality
! Symbol
! Comments
|-
| Inframinor
| I
| The horizontal and vertical bars of the letter I may be drawn to scale with the subminor symbol for more visual consistency
|-
| Subminor
| =
| Akin to two parallel minus signs
|-
| Minor
| −
|
|-
| Neutral
| ◻
|
|-
| Major
| △
|
|-
| Supermajor
| ▲
|
|-
| Ultramajor
| U
| The letter U may be drawn with horizontal and vertical bars for more visual consistency with other symbols
|-
| Harmonic seventh
| H7
|
|-
| Diminished
| ∘
|
|-
| Subdiminished / sin(bv5)
| ●
|
|-
| Half Diminished / m7(b5)
| ∅
|
|-
| Half Subdiminished / sin7(bv5)
| ⦰
|
|-
| Augmented
|  +
|
|-
| Superaugmented / saj(#+5)
| 王 (or *)
| Akin to the plus sign with two extra lines
|}
These symbols can also be used with other tuning systems where these interval qualities are relevant.
== See also ==
* [[15edo chord names]]
* [[19edo chord names]]
* [[22edo chord names]]
* [[24edo chord names]]
* [[41edo chord names]]
* [[Kite Guitar chord shapes (downmajor tuning)]]
[[Category:31edo]]
[[Category:31edo]]
[[Category:Chords]]
[[Category:Ups and downs notation]]
[[Category:Notation]]
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