24edo chord names: Difference between revisions

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Various [[24edo]] 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. ^M6 and vm7 are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord.
Various [[24edo]] 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. ^M6 and vm7 are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord.
 
Highly implausible chords are named as a more plausible [[Chord homonym|homonym]], e.g. {{nowrap|0–5–15 {{=}} Cvm(^5)}} becomes {{nowrap|15–24–29 {{=}} ^G^}}, where "a" stands for augmented and "d" stands for diminished.
 
{| class="wikitable"
{| class="wikitable"
|+
!
!vm3
!m3
!~3
!M3
!^M3
!P4
!~4
|-
|-
!triad
! colspan="2" | Thirds →
|Cvm
! vm3
|Cm
! m3
|C~
! ~3
|C
! M3
|C^
! ^M3
|C4
! P4
|C~4
! ~4
|-
! colspan="2" | Triads with P5
| Cvm
| Cm
| C~
| C
| C^
| C4
| C~4
|-
! rowspan="4" | Other<br />triads
! v5
| Cvm(v5)
| Cm(v5)
| C~(v5)
| C(v5)
| C^(v5)
| C4(v5)
| C~4(v5)
|-
! d5
| Cvd
| Cd
| C^d
| C(b5)
| C^(b5)
| C4(b5)
| C~4(b5)
|-
! ^5
| ''(^G^)''
| Cm(^5)
| C~(^5)
| C(^5)
| C^(^5)
| C4(^5)
| C~4(^5)
|-
|-
!~6
! a5
|Cvm~6
| Cvm(#5)
|Cm~6
| ''(Ab)''
|C~6
| Cva
|C,~6
| Ca
|C^,~6
| C^a
|C4~6
| ''(Fm)''
|C~4~6
| C~4(#5)
|-
|-
!M6
! rowspan="7" |Tetrads<br />with
|Cvm,6
 
|Cm6
P5
|C~,6
! ~6
|C6
| Cvm~6
|C^,6
| Cm~6
|C4,6
| C~6
|C~4,6
| C,~6
| C^,~6
| C4~6
| C~4~6
|-
|-
!^M6
! M6
vm7
| Cvm,6
|(Cvm^6)
| Cm6
Cvm7
| C~,6
|Cm^6
| C6
Cmv7
| C^,6
|C~^6
| C4,6
C~v7
| C~4,6
|C,^6
C,v7
|C^6
(C^v7)
|C4^6
C4v7
|C~4^6
C~4v7
|-
|-
!m7
! ^M6<br />vm7
|Cvm,7
| (Cvm^6)<br />Cvm7
|Cm7
| Cm^6<br />Cmv7
|C~,7
| C~^6<br />C~v7
|C7
| C,^6<br />C,v7
|C^,7
| C^6<br />(C^v7)
|C4,7
| C4^6<br />C4v7
|C~4,7
| C~4^6<br />C~4v7
|-
|-
!~7
! m7
|Cvm~7
| Cvm,7
|Cm~7
| Cm7
|C~7
| C~,7
|C,~7
| C7
|C^,~7
| C^,7
|C4~7
| C4,7
|C~4~7
| C~4,7
|-
|-
!M7
! ~7
|CvmM7
| Cvm~7
|CmM7
| Cm~7
|C~M7
| C~7
|CM7
| C,~7
|C^,M7
| C^,~7
|C4M7
| C4~7
|C~4M7
| C~4~7
|-
|-
!^M7
! M7
|Cvm^M7
| CvmM7
|Cm^M7
| CmM7
|C~^M7
| C~M7
|C,^M7
| CM7
|C^M7
| C^,M7
|C4^M7
| C4M7
|C~4^M7
| C~4M7
|-
! ^M7
| Cvm^M7
| Cm^M7
| C~^M7
| C,^M7
| C^M7
| C4^M7
| C~4^M7
|}
|}
A comma (the actual punctuation mark ",") is spoken as "add", thus C^,7 is "C-up 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. C^,~6 is clear without a comma if limiting oneself to 24edo. 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 24edo guitar by bending the mid 3rd up slightly.
 
A punctuation comma (",") is spoken as "add", thus C^,7 is "C-up 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. C^,~6 is clear without a comma if limiting oneself to 24edo. However, some edos like 58-edo have an upmid 3rd and 6th, and C^~6 would be P1 ^~3 P5 ^~6.  
 
== See also ==
* [[15edo chord names]]
* [[19edo chord names]]
* [[22edo chord names]]
* [[31edo chord names]]
* [[41edo chord names]]
* [[Kite Guitar chord shapes (downmajor tuning)]]


[[Category:24edo]]
[[Category:24edo]]
[[Category:Chords]]
[[Category:Ups and downs notation]]
[[Category:Notation]]

Latest revision as of 01:07, 20 August 2025

Various 24edo triads, 6th and 7th chords, named via ups and downs. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming. ^M6 and vm7 are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord.

Highly implausible chords are named as a more plausible homonym, e.g. 0–5–15 = Cvm(^5) becomes 15–24–29 = ^G^, where "a" stands for augmented and "d" stands for diminished.

Thirds → vm3 m3 ~3 M3 ^M3 P4 ~4
Triads with P5 Cvm Cm C~ C C^ C4 C~4
Other
triads
v5 Cvm(v5) Cm(v5) C~(v5) C(v5) C^(v5) C4(v5) C~4(v5)
d5 Cvd Cd C^d C(b5) C^(b5) C4(b5) C~4(b5)
^5 (^G^) Cm(^5) C~(^5) C(^5) C^(^5) C4(^5) C~4(^5)
a5 Cvm(#5) (Ab) Cva Ca C^a (Fm) C~4(#5)
Tetrads
with

P5

~6 Cvm~6 Cm~6 C~6 C,~6 C^,~6 C4~6 C~4~6
M6 Cvm,6 Cm6 C~,6 C6 C^,6 C4,6 C~4,6
^M6
vm7
(Cvm^6)
Cvm7
Cm^6
Cmv7
C~^6
C~v7
C,^6
C,v7
C^6
(C^v7)
C4^6
C4v7
C~4^6
C~4v7
m7 Cvm,7 Cm7 C~,7 C7 C^,7 C4,7 C~4,7
~7 Cvm~7 Cm~7 C~7 C,~7 C^,~7 C4~7 C~4~7
M7 CvmM7 CmM7 C~M7 CM7 C^,M7 C4M7 C~4M7
^M7 Cvm^M7 Cm^M7 C~^M7 C,^M7 C^M7 C4^M7 C~4^M7

A punctuation comma (",") is spoken as "add", thus C^,7 is "C-up 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. C^,~6 is clear without a comma if limiting oneself to 24edo. However, some edos like 58-edo have an upmid 3rd and 6th, and C^~6 would be P1 ^~3 P5 ^~6.

See also