24edo chord names: Difference between revisions
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Various [[24edo]] triads, 6th and 7th chords, named via [[Ups and | 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" | ||
|- | |- | ||
! | ! 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) | |||
|- | |||
! a5 | |||
| Cvm(#5) | |||
| ''(Ab)'' | |||
| Cva | |||
| Ca | |||
| C^a | |||
| ''(Fm)'' | |||
| C~4(#5) | |||
|- | |- | ||
!~6 | ! rowspan="7" |Tetrads<br />with | ||
|Cvm~6 | |||
|Cm~6 | P5 | ||
|C~6 | ! ~6 | ||
|C,~6 | | Cvm~6 | ||
|C^,~6 | | Cm~6 | ||
|C4~6 | | C~6 | ||
|C~4~6 | | C,~6 | ||
| C^,~6 | |||
| C4~6 | |||
| C~4~6 | |||
|- | |- | ||
!M6 | ! M6 | ||
|Cvm,6 | | Cvm,6 | ||
|Cm6 | | Cm6 | ||
|C~,6 | | C~,6 | ||
|C6 | | C6 | ||
|C^,6 | | C^,6 | ||
|C4,6 | | C4,6 | ||
|C~4,6 | | C~4,6 | ||
|- | |- | ||
!^M6 | ! ^M6<br />vm7 | ||
vm7 | | (Cvm^6)<br />Cvm7 | ||
|(Cvm^6) | | Cm^6<br />Cmv7 | ||
Cvm7 | | C~^6<br />C~v7 | ||
|Cm^6 | | C,^6<br />C,v7 | ||
Cmv7 | | C^6<br />(C^v7) | ||
|C~^6 | | C4^6<br />C4v7 | ||
C~v7 | | C~4^6<br />C~4v7 | ||
|C,^6 | |||
C,v7 | |||
|C^6 | |||
(C^v7) | |||
|C4^6 | |||
C4v7 | |||
|C~4^6 | |||
C~4v7 | |||
|- | |- | ||
!m7 | ! m7 | ||
|Cvm,7 | | Cvm,7 | ||
|Cm7 | | Cm7 | ||
|C~,7 | | C~,7 | ||
|C7 | | C7 | ||
|C^,7 | | C^,7 | ||
|C4,7 | | C4,7 | ||
|C~4,7 | | C~4,7 | ||
|- | |- | ||
!~7 | ! ~7 | ||
|Cvm~7 | | Cvm~7 | ||
|Cm~7 | | Cm~7 | ||
|C~7 | | C~7 | ||
|C,~7 | | C,~7 | ||
|C^,~7 | | C^,~7 | ||
|C4~7 | | C4~7 | ||
|C~4~7 | | C~4~7 | ||
|- | |- | ||
!M7 | ! M7 | ||
|CvmM7 | | CvmM7 | ||
|CmM7 | | CmM7 | ||
|C~M7 | | C~M7 | ||
|CM7 | | CM7 | ||
|C^,M7 | | C^,M7 | ||
|C4M7 | | C4M7 | ||
|C~4M7 | | C~4M7 | ||
|- | |- | ||
!^M7 | ! ^M7 | ||
|Cvm^M7 | | Cvm^M7 | ||
|Cm^M7 | | Cm^M7 | ||
|C~^M7 | | C~^M7 | ||
|C,^M7 | | C,^M7 | ||
|C^M7 | | C^M7 | ||
|C4^M7 | | C4^M7 | ||
|C~4^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. | |||
* [[19edo | == See also == | ||
* [[22edo | * [[15edo chord names]] | ||
* [[31edo | * [[19edo chord names]] | ||
* [[41edo | * [[22edo chord names]] | ||
* [[Kite Guitar | * [[31edo chord names]] | ||
* [[41edo chord names]] | |||
* [[Kite Guitar chord shapes (downmajor tuning)]] | |||
[[Category:24edo]] | [[Category:24edo]] | ||
[[Category:Chords]] | [[Category:Chords]] | ||
[[Category:Ups and | [[Category:Ups and downs notation]] | ||
[[Category: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.