User:Fitzgerald Lee/15edo Chord Names: Difference between revisions

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==Chord Names==
==Chord Names==
Triads shown here are the ones built from thirds, or a second or fourth with a fifth.
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 120%;" |
Secundal, Tertial and Quartal Triads
Triads
|-
|-
! Triad !! Approx. JI !! Shorthand !! Name
! Triad !! Approx. JI !! Shorthand !! Name
|-
| [0,2,9] || 18:20:27 || C2 || Suspended Second
|-
|-
| [0,3,6] || 21:24:28 || Cf || Semaphore
| [0,3,6] || 21:24:28 || Cf || Semaphore
|-
|-
| [0,3,7] || 7/6/5 || Cu || Utonal Diminished
| [0,3,7] || 7/6/5 || Cu || Utonal Diminished
|-
| [0,4,7] || 5:6:7 || Co || Otonal Diminished
|-
|-
| [0,3,8] || 7:8:10 || Ct || Triforce
| [0,3,8] || 7:8:10 || Ct || Triforce
|-
|-
| [0,3,9] || 6:7:9 || Cs || Subminor
| [0,4,8] || 35:42:50 || Cd || Diminished
|-
|-
| [0,4,7] || 5:6:7 || Co || Otonal Diminished
| [0,5,8] || 10/8/7 || Cw || Wolf
|-
|-
| [0,4,8] || 35:42:50 || Cd || Diminished
| [0,2,9] || 18:20:27 || C2 || Suspended Second
|-
|-
| [0,4,9] || 6/5/4 || C- || Minor
| [0,3,9] || 6:7:9 || Cs || Subminor
|-
|-
| [0,5,8] || 10/8/7 || Cw || Wolf
| [0,4,9] || 6/5/4 || Cm || Minor
|-
|-
| [0,5,9] || 4:5:6 || C || Major
| [0,5,9] || 4:5:6 || C || Major
|-
| [0,6,9] || 6:8:9 || C4 || Suspended Fourth
|-
|-
| [0,5,10] || 20:25:32 || Ca || Augmented
| [0,5,10] || 20:25:32 || Ca || Augmented
|}
Tetradic extensions are named differently depending on the top note of the triad in root position.
{| class="wikitable"
|+ style="font-size: 120%;" |
Tetradic extensions (top note 6\15)
|-
! Interval !! Approx. JI !! Shorthand !! Name
|-
| 8\15 || 10/7 || d || Diminished Fifth
|-
| 9\15 || 3/2 || 5 || Perfect Fifth
|-
| 10\15 || 8/5 || m || Minor Sixth
|-
|-
| [0,6,9] || 6:8:9 || C4 || Suspended Fourth
| 11\15 || 5/3 || 6 || Major Sixth
|}
|}
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 120%;" |
Tetradic Extensions
Tetradic extensions (top note 7\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
|-
|-
| 9\15 || 3/2 || 5 || Fifth
| 9\15 || 3/2 || 5 || Fifth
|-
| 10\15 || 8/5 || m || Minor Sixth
|-
| 11\15 || 5/3 || 6 || Major Sixth
|-
| 12\15 || 7/4 || h || Harmonic Seventh
|}
{| class="wikitable"
|+ style="font-size: 120%;" |
Tetradic extensions (top note 8\15)
|-
! Interval !! Approx. JI !! Shorthand !! Name
|-
|-
| 10\15 || 8/5 || m || Minor Sixth
| 10\15 || 8/5 || m || Minor Sixth
Line 46: Line 74:
| 13\15 || 9/5 || n || Neutral Seventh
| 13\15 || 9/5 || n || Neutral Seventh
|-
|-
| 14\15 || 15/8 || 7 || Major Seventh
| X || X || 7 || Seventh
|}
X: Extend the chord by the corresponding third in the chord (only applicable to triforce, diminished and wolf chords).
{| class="wikitable"
|+ style="font-size: 120%;" |
Tetradic extensions (top note 9\15)
|-
! Interval !! Approx. JI !! Shorthand !! Name
|-
| 11\15 || 5/3 || 6 || Sixth
|-
| 12\15 || 7/4 || h || Harmonic Seventh
|-
| 13\15 || 9/5 || n || Neutral Seventh
|-
| 14\15 || 15/8 || M || Major Seventh
|-
| X || X || 7 || Seventh
|}
X: Extend the chord by the corresponding third in the chord (only applicable to subminor, minor and major chords).
{| class="wikitable"
|+ style="font-size: 120%;" |
Tetradic extensions (top note 10\15)
|-
! Interval !! Approx. JI !! Shorthand !! Name
|-
| 12\15 || 7/4 || 6 || Sixth
|-
| 13\15 || 9/5 || n || Neutral Seventh
|-
| 14\15 || 15/8 || 7 || (Major) Seventh
|}
|}
==Examples==
==Examples==
Assuming the root note is C,
Assuming the root note is C,
Line 54: Line 111:
[0,3,8,11] → Ct6
[0,3,8,11] → Ct6
</br>
</br>
[0,4,8,12] &rarr; Cdh
[0,4,8,12] &rarr; Cd7
</br>
</br>
[0,5,9,13] &rarr; Cn
[0,5,9,13] &rarr; Cn
Line 61: Line 118:


==Links==
==Links==
[https://luphoria.com/xenpaper/#%7B15edo%7D(bpm%3A10)%0A%5B0%2C2%2C9%5D_%23C2_(suspended_second)_18%3A20%3A27%0A%5B0%2C3%2C6%5D_%23Cf_(semaphore)_21%3A24%3A28%0A%5B0%2C3%2C7%5D_%23Cu_(utonal_diminished)_7%2F6%2F5%0A%5B0%2C3%2C8%5D_%23Ct_(triforce)_7%3A8%3A10%0A%5B0%2C3%2C9%5D_%23Cs_(subminor)_6%3A7%3A9%0A%5B0%2C4%2C7%5D_%23Co_(otonal_diminished)_5%3A6%3A7%0A%5B0%2C4%2C8%5D_%23Cd_(diminished)_35%3A42%3A50%0A%5B0%2C4%2C9%5D_%23C-_(minor)_6%2F5%2F4%0A%5B0%2C5%2C8%5D_%23Cw_(wolf)_10%2F8%2F7%0A%5B0%2C5%2C9%5D_%23C_(major)_4%3A5%3A6%0A%5B0%2C5%2C10%5D_%23Ca_(augmented)_20%3A25%3A32%0A%5B0%2C6%2C9%5D_%23C4_(suspended_fourth)_6%3A8%3A9%0A%0A%5B0%2C2%2C9%2C12%5D_%23C2h%0A%5B0%2C2%2C9%2C13%5D_%23C2n%0A%5B0%2C2%2C9%2C14%5D_%23C27%0A%5B0%2C3%2C6%2C9%5D_%23Cf5%0A%5B0%2C3%2C6%2C10%5D_%23Cfm%0A%5B0%2C3%2C6%2C11%5D_%23Cf6%0A%5B0%2C3%2C7%2C10%5D_%23Cum%0A%5B0%2C3%2C7%2C11%5D_%23Cu6%0A%5B0%2C3%2C7%2C12%5D_%23Cuh%0A%5B0%2C3%2C8%2C11%5D_%23Ct6%0A%5B0%2C3%2C8%2C12%5D_%23Cth%0A%5B0%2C3%2C8%2C13%5D_%23Ctn%0A%5B0%2C3%2C9%2C12%5D_%23Csh%0A%5B0%2C3%2C9%2C13%5D_%23Csn%0A%5B0%2C3%2C9%2C14%5D_%23Cs7%0A%5B0%2C4%2C7%2C10%5D_%23Com%0A%5B0%2C4%2C7%2C11%5D_%23Co6%0A%5B0%2C4%2C7%2C12%5D_%23Coh%0A%5B0%2C4%2C8%2C11%5D_%23Cd6%0A%5B0%2C4%2C8%2C12%5D_%23Cdh%0A%5B0%2C4%2C8%2C13%5D_%23Cdn%0A%5B0%2C4%2C9%2C12%5D_%23C-h%0A%5B0%2C4%2C9%2C13%5D_%23C-n%0A%5B0%2C4%2C9%2C14%5D_%23C-7%0A%5B0%2C5%2C8%2C11%5D_%23Cw6%0A%5B0%2C5%2C8%2C12%5D_%23Cwh%0A%5B0%2C5%2C8%2C13%5D_%23Cwn%0A%5B0%2C5%2C9%2C12%5D_%23Ch%0A%5B0%2C5%2C9%2C13%5D_%23Cn%0A%5B0%2C5%2C9%2C14%5D_%23C7%0A%5B0%2C5%2C10%2C13%5D_%23Can%0A%5B0%2C5%2C10%2C14%5D_%23Ca7%0A%5B0%2C5%2C10%2C15%5D_%23Ca8%0A%5B0%2C6%2C9%2C12%5D_%23C4h%0A%5B0%2C6%2C9%2C13%5D_%23C4n%0A%5B0%2C6%2C9%2C14%5D_%23C47 15edo Chord Names in Xenpaper]
[https://luphoria.com/xenpaper/#%7B15edo%7D(bpm%3A10)%0A%5B0%2C3%2C6%5D_%23Cf_(semaphore)_21%3A24%3A28%0A%5B0%2C3%2C7%5D_%23Cu_(utonal_diminished)_7%2F6%2F5%0A%5B0%2C4%2C7%5D_%23Co_(otonal_diminished)_5%3A6%3A7%0A%5B0%2C3%2C8%5D_%23Ct_(triforce)_7%3A8%3A10%0A%5B0%2C4%2C8%5D_%23Cd_(diminished)_35%3A42%3A50%0A%5B0%2C5%2C8%5D_%23Cw_(wolf)_10%2F8%2F7%0A%5B0%2C2%2C9%5D_%23C2_(suspended_second)_18%3A20%3A27%0A%5B0%2C3%2C9%5D_%23Cs_(subminor)_6%3A7%3A9%0A%5B0%2C4%2C9%5D_%23Cm_(minor)_6%2F5%2F4%0A%5B0%2C5%2C9%5D_%23C_(major)_4%3A5%3A6%0A%5B0%2C6%2C9%5D_%23C4_(suspended_fourth)_6%3A8%3A9%0A%5B0%2C5%2C10%5D_%23Ca_(augmented)_20%3A25%3A32%0A%0A%5B0%2C3%2C6%2C8%5D_%23Cfd%0A%5B0%2C3%2C6%2C9%5D_%23Cf5%0A%5B0%2C3%2C6%2C10%5D_%23Cfm%0A%5B0%2C3%2C6%2C11%5D_%23Cf6%0A%0A%5B0%2C3%2C7%2C9%5D_%23Cu5%0A%5B0%2C3%2C7%2C10%5D_%23Cum%0A%5B0%2C3%2C7%2C11%5D_%23Cu6%0A%5B0%2C3%2C7%2C12%5D_%23Cuh%0A%0A%5B0%2C4%2C7%2C9%5D_%23Co5%0A%5B0%2C4%2C7%2C10%5D_%23Com%0A%5B0%2C4%2C7%2C11%5D_%23Co6%0A%5B0%2C4%2C7%2C12%5D_%23Coh%0A%0A%5B0%2C3%2C8%2C10%5D_%23Ctm%0A%5B0%2C3%2C8%2C11%5D_%23Ct7%0A%5B0%2C3%2C8%2C12%5D_%23Cth%0A%5B0%2C3%2C8%2C13%5D_%23Ctn%0A%0A%5B0%2C4%2C8%2C10%5D_%23Cdm%0A%5B0%2C4%2C8%2C11%5D_%23Cd6%0A%5B0%2C4%2C8%2C12%5D_%23Cd7%0A%5B0%2C4%2C8%2C13%5D_%23Cdn%0A%0A%5B0%2C5%2C8%2C10%5D_%23Cwm%0A%5B0%2C5%2C8%2C11%5D_%23Cw6%0A%5B0%2C5%2C8%2C12%5D_%23Cwh%0A%5B0%2C5%2C8%2C13%5D_%23Cw7%0A%0A%5B0%2C2%2C9%2C11%5D_%23C26%0A%5B0%2C2%2C9%2C12%5D_%23C2h%0A%5B0%2C2%2C9%2C13%5D_%23C2n%0A%5B0%2C2%2C9%2C14%5D_%23C2M%0A%0A%5B0%2C3%2C9%2C11%5D_%23Cs6%0A%5B0%2C3%2C9%2C12%5D_%23Cs7%0A%5B0%2C3%2C9%2C13%5D_%23Csn%0A%5B0%2C3%2C9%2C14%5D_%23CsM%0A%0A%5B0%2C4%2C9%2C11%5D_%23Cm6%0A%5B0%2C4%2C9%2C12%5D_%23Cmh%0A%5B0%2C4%2C9%2C13%5D_%23Cm7%0A%5B0%2C4%2C9%2C14%5D_%23CmM%0A%0A%5B0%2C5%2C9%2C11%5D_%23C6%0A%5B0%2C5%2C9%2C12%5D_%23Ch%0A%5B0%2C5%2C9%2C13%5D_%23Cn%0A%5B0%2C5%2C9%2C14%5D_%23C7%0A%0A%5B0%2C6%2C9%2C11%5D_%23C46%0A%5B0%2C6%2C9%2C12%5D_%23C4h%0A%5B0%2C6%2C9%2C13%5D_%23C4n%0A%5B0%2C6%2C9%2C14%5D_%23C4M%0A%0A%5B0%2C5%2C10%2C12%5D_%23Cah%0A%5B0%2C5%2C10%2C13%5D_%23Can%0A%5B0%2C5%2C10%2C14%5D_%23Ca7 15edo Chord Names in Xenpaper]

Revision as of 09:10, 1 September 2025

Chord Names

Triads shown here are the ones built from thirds, or a second or fourth with a fifth.

Triads
Triad Approx. JI Shorthand Name
[0,3,6] 21:24:28 Cf Semaphore
[0,3,7] 7/6/5 Cu Utonal Diminished
[0,4,7] 5:6:7 Co Otonal Diminished
[0,3,8] 7:8:10 Ct Triforce
[0,4,8] 35:42:50 Cd Diminished
[0,5,8] 10/8/7 Cw Wolf
[0,2,9] 18:20:27 C2 Suspended Second
[0,3,9] 6:7:9 Cs Subminor
[0,4,9] 6/5/4 Cm Minor
[0,5,9] 4:5:6 C Major
[0,6,9] 6:8:9 C4 Suspended Fourth
[0,5,10] 20:25:32 Ca Augmented

Tetradic extensions are named differently depending on the top note of the triad in root position.

Tetradic extensions (top note 6\15)
Interval Approx. JI Shorthand Name
8\15 10/7 d Diminished Fifth
9\15 3/2 5 Perfect Fifth
10\15 8/5 m Minor Sixth
11\15 5/3 6 Major Sixth
Tetradic extensions (top note 7\15)
Interval Approx. JI Shorthand Name
9\15 3/2 5 Fifth
10\15 8/5 m Minor Sixth
11\15 5/3 6 Major Sixth
12\15 7/4 h Harmonic Seventh
Tetradic extensions (top note 8\15)
Interval Approx. JI Shorthand Name
10\15 8/5 m Minor Sixth
11\15 5/3 6 Major Sixth
12\15 7/4 h Harmonic Seventh
13\15 9/5 n Neutral Seventh
X X 7 Seventh

X: Extend the chord by the corresponding third in the chord (only applicable to triforce, diminished and wolf chords).

Tetradic extensions (top note 9\15)
Interval Approx. JI Shorthand Name
11\15 5/3 6 Sixth
12\15 7/4 h Harmonic Seventh
13\15 9/5 n Neutral Seventh
14\15 15/8 M Major Seventh
X X 7 Seventh

X: Extend the chord by the corresponding third in the chord (only applicable to subminor, minor and major chords).

Tetradic extensions (top note 10\15)
Interval Approx. JI Shorthand Name
12\15 7/4 6 Sixth
13\15 9/5 n Neutral Seventh
14\15 15/8 7 (Major) Seventh

Examples

Assuming the root note is C,
[0,3,8,11] → Ct6
[0,4,8,12] → Cd7
[0,5,9,13] → Cn
Etc.

Links

15edo Chord Names in Xenpaper

Retrieved from "https://en.xen.wiki/index.php?title=User:Fitzgerald_Lee/15edo_Chord_Names&oldid=208937"