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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 from a second or fourth with a fifth.
Triads shown here are the ones built from thirds, or from a second or fourth with a [[3/2]] fifth.
{| class="wikitable"
{| class="wikitable"
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|+ style="font-size: 120%;" |
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| [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.
Tetradic and pentadic extensions have different intervals to use, depending on the top note of the triad in root position. Extensions shown below are assuming that tetradic and pentadic extensions extend by thirds (except 6th chords, which usually only extends by a fourth to a 6/9 chord but is still notatable in this system).
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 102%;" |
Tetradic extensions (top note 6\15)
Tetradic and pentadic extensions (top note 6\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
Line 45: Line 45:
|-
|-
| 11\15 || 5/3 || 6 || Major Sixth
| 11\15 || 5/3 || 6 || Major Sixth
|-
| 12\15 || 7/4 || h || Harmonic Seventh
|-
| 13\15 || 9/5 || n || Neutral Seventh
|-
| 14\15 || 15/8 || M || Major Seventh
|-
| 16\15 || 32/15 || m || Minor Ninth
|}
|}
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 102%;" |
Tetradic extensions (top note 7\15)
Tetradic and pentadic extensions (top note 7\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
Line 59: Line 67:
|-
|-
| 12\15 || 7/4 || h || Harmonic Seventh
| 12\15 || 7/4 || h || Harmonic Seventh
|-
| 13\15 || 9/5 || n || Neutral Seventh
|-
| 14\15 || 15/8 || M || Major Seventh
|-
| 16\15 || 32/15 || m || Minor Ninth
|-
| 17\15 || 20/9 || 9 || Major Ninth
|}
|}
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 102%;" |
Tetradic extensions (top note 8\15)
Tetradic and pentadic extensions (top note 8\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
Line 73: Line 89:
|-
|-
| 13\15 || 9/5 || n || Neutral Seventh
| 13\15 || 9/5 || n || Neutral Seventh
|-
| 14\15 || 15/8 || M || Major Seventh
|-
|-
| X || X || 7 || Seventh
| X || X || 7 || Seventh
|-
| 16\15 || 32/15 || m || Minor Ninth
|-
| 17\15 || 20/9 || 9 || Major Ninth
|-
| 18\15 || 16/7 || s || Subminor Tenth
|}
|}
X: Extend the chord by the corresponding third in the chord (only applicable to triforce, diminished and wolf chords).
X: The seventh which is derived from going the corresponding third up from the fifth (only applicable to Triforce, Diminished and Wolf chords).
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 102%;" |
Tetradic extensions (top note 9\15)
Tetradic and pentadic extensions (top note 9\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
Line 92: Line 116:
|-
|-
| X || X || 7 || Seventh
| X || X || 7 || Seventh
|-
| 16\15 || 32/15 || m || Minor Ninth
|-
| 17\15 || 20/9 || M || Major Ninth
|-
| 18\15 || 16/7 || s || Subminor Tenth
|-
| 19\15 || 12/5 || m || Minor Tenth
|-
|}
|}
X: Extend the chord by the corresponding third in the chord (only applicable to subminor, minor and major chords).
X: The seventh which is derived from going the corresponding third up from the fifth (only applicable to subminor, minor and major chords).
{| class="wikitable"
{| class="wikitable"
|+ style="font-size: 120%;" |
|+ style="font-size: 102%;" |
Tetradic extensions (top note 10\15)
Tetradic and pentadic extensions (top note 10\15)
|-
|-
! Interval !! Approx. JI !! Shorthand !! Name
! Interval !! Approx. JI !! Shorthand !! Name
Line 105: Line 138:
|-
|-
| 14\15 || 15/8 || 7 || (Major) Seventh
| 14\15 || 15/8 || 7 || (Major) Seventh
|-
| 16\15 || 32/15 || m || Minor Ninth
|-
| 17\15 || 20/9 || 9 || Major Ninth
|-
| 18\15 || 16/7 || s || Subminor Tenth
|-
| 19\15 || 12/5 || m || Minor Tenth
|}
|}
==Examples==
==Examples==
Assuming the root note is C,
Assuming the root note is C,
</br>
<br>
[0,3,8,11] &rarr; Ct6
[0,3,8,11] &rarr; Ct6
</br>
<br>
[0,4,8,12] &rarr; Cd7
[0,4,8,12] &rarr; Cd7
</br>
<br>
[0,5,9,13] &rarr; Cn
[0,5,9,13] &rarr; Cn
</br>
<br>
[0,3,6,9,13] &rarr; Cf5n
<br>
[0,4,9,14,19] &rarr; CmMm
<br>
[0,5,9,12,17] &rarr; Ch9
<br>
Etc.
Etc.


==Links==
==Links==
[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]
[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 Triad and Tetrad Names in Xenpaper]
Retrieved from "https://en.xen.wiki/w/User:Fitzgerald_Lee/15edo_Chord_Names"