User:Lériendil/Sandbox
Notation
Bohlen-Pierce theory possesses a well-established[1] nonoctave notation system for EDTs and no-twos music, which is based on this MOS scale as generated by approximately 7/3, relating it to BPS temperament, where two 7/3 generators are equated to 27/5. The preferred generator for any edt is its patent val approximation of 7/3.
This notation uses 9 nominals: E F G H J A B C D E as presented in the E Cassiopeian (sLsLsLsLs) mode, and represented by a circle of generators going as follows: ...C# - A# - H# - F# - D - B - J - G - E - C - A - H - F - Db - Bb - Jb - Gb...
Examples
9edt (equalized):
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| E | F | G | H | J | A | B | C | D | E |
| P0 | P1 | P2 | P3 | P4 | P5 | P6 | P7 | P8 | P9 |
13edt (Bohlen-Pierce):
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| E | F | F#, Gb | G | H | H#, Jb | J | A | A#, Bb | B | C | Db, C# | D | E |
| P0 | m1 | M1, d2 | P2 | m3 | M3, m4 | M4 | m5 | M5, m6 | M6 | P7 | m8, A7 | M8 | P9 |
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| E | D#, Gbb | F | E# | Gb | F# | Hb | G | Fx, Jbb | H | G# | Jb | H# | Ab | J | Hx, Bbb | A | J# | Bb | A# | Cb | B | Ax, Dbb | C | B# | Db | C# | Eb | D | Fb, Cx | E |
| P0 | MM8, dd2 | m1 | A0 | d2 | M1 | mm3 | P2 | MM1, mm4 | m3 | A2 | m4 | M3 | mm5 | M4 | MM3, mm6 | m5 | MM4 | m6 | M5 | d7 | M6 | MM5, mm8 | P7 | MM6 | m8 | A7 | d9 | M8 | mm1, AA7 | P9 |