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

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==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"

|+ style="font-size: 120%;" |

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| [0,5,10] || 20:25:32 || Ca || Augmented

|}

Tetradic and pentadic extensions have different intervals to use, 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"

|+ style="font-size: 102%;" |

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| 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"

|+ style="font-size: 102%;" |

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|-

|}

X: ~~Add the interval~~ which is the corresponding third up from the fifth (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"

|+ style="font-size: 102%;" |

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==Examples==

Assuming the root note is C,

[0,3,8,11] → Ct6

[0,4,8,12] → Cd7

[0,5,9,13] → Cn

[0,3,6,9,13] → Cf5n

[0,4,9,14,19] → CmMm

[0,5,9,12,17] → Ch9

Etc.

==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 Triad and Tetrad Names in Xenpaper]

@@ Line 1: / Line 1: @@
 ==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"
 |+ style="font-size: 120%;" |
@@ Line 31: / Line 31: @@
 | [0,5,10] || 20:25:32 || Ca || Augmented
 |}
-Tetradic and pentadic extensions have different intervals to use, 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"
 |+ style="font-size: 102%;" |
@@ Line 100: / Line 100: @@
 | 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"
 |+ style="font-size: 102%;" |
@@ Line 126: / Line 126: @@
 |-
 |}
-X: Add the interval which is the corresponding third up from the fifth (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"
 |+ style="font-size: 102%;" |
@@ Line 150: / Line 150: @@
 ==Examples==
 Assuming the root note is C,
-</br>
+<br>
 [0,3,8,11] &rarr; Ct6
-</br>
+<br>
 [0,4,8,12] &rarr; Cd7
-</br>
+<br>
 [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.
 ==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 Triad and Tetrad Names in Xenpaper]