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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"
|+
!
!vm3
!m3
!~3
!M3
!^M3
!v4
!P4
!~4
|-
|-
!triad
! colspan="2" | Third →
|Cvm
! vm3
|Cm
! m3
|C~
! ~3
|C
! M3
|C^
! ^M3
|Cv4
! v4
|C4
! P4
|C~4
! ~4
|-
! colspan="2" | Triads with P5
| Cvm
| Cm
| C~
| C
| C^
| Cv4
| C4
| C~4
|-
! rowspan="5" | Other<br />triads
! ~5
| Cvm(v5)
| Cm(v5)
| C~(v5)
| C(v5)
| C^(v5)
| Cv4(v5)
| C4(v5)
| C~4(v5)
|-
! d5
| Cvd
| Cd
| C^d
| C(b5)
| C^(b5)
| Cv4(b5)
| C4(b5)
| C~4(b5)
|-
! vd5
| Cvd(v5)
| Cd(v5)
| C^d(v5)
| C(vb5)
| C^(vb5)
| Cv4(vb5)
| C4(vb5)
| C~4(vb5)
|-
|-
!~6
! ^5
|Cvm~6
| Cvm(^5)
|Cm~6
| Cm(^5)
|C~6
| C~(^5)
|C,~6
| C(^5)
|C^,~6
| C^(^5)
|Cv4~6
| Cv4(^5)
|C4~6
| C4(^5)
|C~4~6
| C~4(^5)
|-
|-
!M6
! a5
|Cvm,6
| ''(vAb^)''
|Cm6
| Cm(#5)
|C~,6
| C~a
|C6
| Ca
|C^,6
| C^a
|Cv4,6
| Cv4(#5)
|C4,6
| ''(Fvm)''
|C~4,6
| C~4(#5)
|-
|-
!^M6
! rowspan="8" | Tetrads<br />with a<br />P5
|Cvm^6
! ~6
|Cm^6
| Cvm~6
|C~^6
| Cm~6
|C,^6
| C~6
|C^6
| C,~6
|Cv4^6
| C^,~6
|C4^6
| Cv4~6
|C~4^6
| C4~6
| C~4~6
|-
|-
!vm7
! M6
|Cvm7
| Cvm,6
|Cmv7
| Cm6
|C~v7
| C~,6
|C,v7
| C6
|C^v7
| C^,6
|Cv4v7
| Cv4,6
|C4v7
| C4,6
|C~4v7
| C~4,6
|-
|-
!m7
! ^M6
|Cvm,7
| Cvm^6
|Cm7
| Cm^6
|C~,7
| C~^6
|C7
| C,^6
|C^,7
| C^6
|Cv4,7
| Cv4^6
|C4,7
| C4^6
|C~4,7
| C~4^6
|-
|-
!~7
! vm7
|Cvm~7
| Cvm7
|Cm~7
| Cmv7
|C~7
| C~v7
|C,~7
| C,v7
|C^,~7
| C^v7
|Cv4~7
| Cv4v7
|C4~7
| C4v7
|C~4~7
| C~4v7
|-
|-
!M7
! m7
|CvmM7
| Cvm,7
|CmM7
| Cm7
|C~M7
| C~,7
|CM7
| C7
|C^,M7
| C^,7
|Cv4M7
| Cv4,7
|C4M7
| C4,7
|C~4M7
| C~4,7
|-
|-
!^M7
! ~7
|Cvm^M7
| Cvm~7
|Cm^M7
| Cm~7
|C~^M7
| C~7
|C,^M7
| C,~7
|C^M7
| C^,~7
|Cv4^M7
| Cv4~7
|C4^M7
| C4~7
|C~4^M7
| C~4~7
|-
! M7
| CvmM7
| CmM7
| C~M7
| CM7
| C^,M7
| Cv4M7
| C4M7
| C~4M7
|-
! ^M7
| 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 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.
 
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
| 4:5:6:7
| C E G vBb
| C add-down-7
| C,v7
| C har7
| Ch7
|-
|-
|7:6:5:4
| 4:5:6:7:9
|C vEb vGb vBb
| C E G vBb D
|C downminor7 downflat-5
| C-nine down-7
|Cvm7(vb5)  
| C9(v7)
|C sub7
| C har7
|Cs7
| Ch7
|-
|-
|12:10:8:7
| 7:6:5:4
|C Eb G ^A
| C vEb vGb vBb
|C minor up-6
| C downminor7 downflat-5
|Cm^6
| Cvm7(vb5)
|C sub6
| C sub7
|Cs6
| 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 ==
== 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|No*ie's original proposition (2024-03-02).]]<br />No*ie proposes the following symbols:
No*ie proposes the following symbols:
 
{| class="wikitable"
{| class="wikitable"
|-
! Chord quality
! Chord quality
! Symbol
! Symbol
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| Diminished
| Diminished
| ∘
| ∘
|
|  
|-
|-
| Subdiminished / sin(bv5)
| Subdiminished / sin(bv5)
| ●
| ●
|
|  
|-
|-
| Half Diminished / m7(b5)
| Half Diminished / m7(b5)
| ∅
| ∅
|
|  
|-
|-
| Half Subdiminished / sin7(bv5)
| Half Subdiminished / sin7(bv5)
| ⦰
| ⦰
|
|  
|-
|-
| Augmented
| Augmented
| +
| +
|
|  
|-
|-
| Superaugmented / saj(#+5)
| Superaugmented / saj(#+5)
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== See also ==
== See also ==
* [[19edo Chord Names]]
* [[15edo chord names]]
* [[22edo Chord Names]]
* [[19edo chord names]]
* [[24edo Chord Names]]
* [[22edo chord names]]
* [[41edo Chord Names]]
* [[24edo chord names]]
* [[Kite Guitar Chord Shapes (downmajor tuning)]]
* [[41edo chord names]]
* [[Kite Guitar chord shapes (downmajor tuning)]]


[[Category:31edo]]
[[Category:31edo]]
[[Category:Chords]]
[[Category:Chords]]
[[Category:Ups and downs notation]]
[[Category:Notation]]
Retrieved from "https://en.xen.wiki/w/31edo_chord_names"