15edo: Difference between revisions
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! | ! Step | ||
! | ! Cents | ||
! colspan="3" |[[Ups and downs notation | ! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and m2)<br>(partial list, e.g. M2/m3 is also A1 and d4) | ||
! colspan="2" | | ! colspan="2" | Porcupine notation<br>([[Enharmonic unison|EU]]: dd2) | ||
|- | |- | ||
|0 | | 0 | ||
|0 | | 0 | ||
| P1, m2 | | P1, m2 | ||
|unison, min 2nd | | unison, min 2nd | ||
|C# / D / Eb | | C# / D / Eb | ||
|unison | | unison | ||
|D | | D | ||
|- | |- | ||
|1 | | 1 | ||
|80 | | 80 | ||
|^1, ^m2 | | ^1, ^m2 | ||
|up-unison, upminor 2nd | | up-unison, upminor 2nd | ||
|^C# / ^D / ^Eb | | ^C# / ^D / ^Eb | ||
|aug unison, dim 2nd | | aug unison, dim 2nd | ||
| D# / Eb | | D# / Eb | ||
|- | |- | ||
|2 | | 2 | ||
|160 | | 160 | ||
|vM2 | | vM2 | ||
| downmajor 2nd | | downmajor 2nd | ||
|vD# / vE / vF / vGb | | vD# / vE / vF / vGb | ||
| perfect 2nd | | perfect 2nd | ||
| E | | E | ||
|- | |- | ||
|3 | | 3 | ||
|240 | | 240 | ||
|M2, m3 | | M2, m3 | ||
|major 2nd, minor 3rd | | major 2nd, minor 3rd | ||
|D# / E / F / Gb | | D# / E / F / Gb | ||
|aug 2nd, dim 3rd | | aug 2nd, dim 3rd | ||
|E# / Fb | | E# / Fb | ||
|- | |- | ||
|4 | | 4 | ||
|320 | | 320 | ||
|^m3 | | ^m3 | ||
|upminor 3rd | | upminor 3rd | ||
|^D# / ^E / ^F / ^Gb | | ^D# / ^E / ^F / ^Gb | ||
|minor 3rd | | minor 3rd | ||
|F | | F | ||
|- | |- | ||
| 5 | | 5 | ||
| 400 | | 400 | ||
|vM3 | | vM3 | ||
|downmajor 3rd | | downmajor 3rd | ||
| vF# / vG / vAb | | vF# / vG / vAb | ||
|major 3rd, dim 4th | | major 3rd, dim 4th | ||
|F# / Gb | | F# / Gb | ||
|- | |- | ||
|6 | | 6 | ||
|480 | | 480 | ||
| M3, P4, d5 | | M3, P4, d5 | ||
|major 3rd, perfect 4th, dim 5th | | major 3rd, perfect 4th, dim 5th | ||
| F# / G / Ab | | F# / G / Ab | ||
|aug 3rd, minor 4th | | aug 3rd, minor 4th | ||
|Fx / G | | Fx / G | ||
|- | |- | ||
|7 | | 7 | ||
| 560 | | 560 | ||
| ^4, ^d5 | | ^4, ^d5 | ||
|up 4th, updim 5th | | up 4th, updim 5th | ||
|^F# / ^G / ^Ab | | ^F# / ^G / ^Ab | ||
|major 4th, dim 5th | | major 4th, dim 5th | ||
|G# / Abb | | G# / Abb | ||
|- | |- | ||
|8 | | 8 | ||
|640 | | 640 | ||
|vA4, v5 | | vA4, v5 | ||
|downaug 4th, down 5th | | downaug 4th, down 5th | ||
| vG# / vA / vBb | | vG# / vA / vBb | ||
|aug 4th, minor 5th | | aug 4th, minor 5th | ||
|Gx / Ab | | Gx / Ab | ||
|- | |- | ||
|9 | | 9 | ||
|720 | | 720 | ||
|A4, P5, m6 | | A4, P5, m6 | ||
|aug 4th, perfect 5th, minor 6th | | aug 4th, perfect 5th, minor 6th | ||
|G# / A / Bb | | G# / A / Bb | ||
|major 5th, dim 6th | | major 5th, dim 6th | ||
|A / Bbb | | A / Bbb | ||
|- | |- | ||
|10 | | 10 | ||
|800 | | 800 | ||
| ^5, ^m6 | | ^5, ^m6 | ||
|up 5th, upminor 6th | | up 5th, upminor 6th | ||
| ^G# / ^A / ^Bb | | ^G# / ^A / ^Bb | ||
|aug 5th, minor 6th | | aug 5th, minor 6th | ||
|A# / Bb | | A# / Bb | ||
|- | |- | ||
|11 | | 11 | ||
| 880 | | 880 | ||
|vA5, vM6 | | vA5, vM6 | ||
|downaug 5th, downmajor 6th | | downaug 5th, downmajor 6th | ||
|vA# / vB / vC / vDb | | vA# / vB / vC / vDb | ||
|major 6th | | major 6th | ||
| B | | B | ||
|- | |- | ||
|12 | | 12 | ||
|960 | | 960 | ||
|M6, m7 | | M6, m7 | ||
|major 6th, minor 7th | | major 6th, minor 7th | ||
|A# / B / C / Db | | A# / B / C / Db | ||
|aug 6th, dim 7th | | aug 6th, dim 7th | ||
| B# / Cb | | B# / Cb | ||
|- | |- | ||
| 13 | | 13 | ||
|1040 | | 1040 | ||
|^m7 | | ^m7 | ||
|upminor 7th | | upminor 7th | ||
| ^A# / ^B / ^C / ^Db | | ^A# / ^B / ^C / ^Db | ||
|perfect 7th | | perfect 7th | ||
|C | | C | ||
|- | |- | ||
|14 | | 14 | ||
| 1120 | | 1120 | ||
| vM7, v8 | | vM7, v8 | ||
|downmajor 7th, down octave | | downmajor 7th, down octave | ||
|vC# / vD / vEb | | vC# / vD / vEb | ||
|aug 7th, dim 8ve | | aug 7th, dim 8ve | ||
|C# / Db | | C# / Db | ||
|- | |- | ||
|15 | | 15 | ||
|1200 | | 1200 | ||
| M7, P8 | | M7, P8 | ||
|major 7th, octave | | major 7th, octave | ||
|C# / D / Eb | | C# / D / Eb | ||
|8ve | | 8ve | ||
|D | | D | ||
|} | |} | ||
The 15edo porcupine genchain in both absolute and relative notation: | The 15edo porcupine genchain in both absolute and relative notation: | ||
* | * …{{dash|Fx, Gx, A#, B#, C#, D#, E#, F#, G#, A, B, C, D, E, F, G, Ab, Bb, Cb, Db, Eb, Fb, Gb, Abb, Bbb|long}}… | ||
* | * …{{dash|A3, A4, A5, A6, A7, A1, A2, M3, M4, M5, M6, P7, P1, P2, m3, m4, m5, m6, d7, d8, d2, d3, d4, d5, d6|long}}… | ||
All 15edo chords can be named using ups and downs. Because many intervals have several names, many chords do too. Alterations are always enclosed in parentheses, additions never are. An up or down immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). | All 15edo chords can be named using ups and downs. Because many intervals have several names, many chords do too. Alterations are always enclosed in parentheses, additions never are. An up or down immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). | ||