User:Fitzgerald Lee/15edo Chord Names: Difference between revisions
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| [0,5,10] || 20:25:32 || Ca || Augmented | | [0,5,10] || 20:25:32 || Ca || Augmented | ||
|} | |} | ||
Tetradic 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. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ style="font-size: | |+ 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: | |+ 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: | |+ 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: Extend the chord by the corresponding third in the chord (only applicable to triforce, diminished and wolf chords). | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ style="font-size: | |+ 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: | X: Add the interval which is the corresponding third up from the fifth (only applicable to subminor, minor and major chords). | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ style="font-size: | |+ 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 | |||
|} | |} | ||
| Line 119: | Line 160: | ||
==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 | [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] | ||