Arcturus hendecatonic notation
Arcturus hendecatonic notation is a nonoctave notation system for EDTs and no-twos music, developed by CompactStar. It is based on the 2L 9s⟨3/1⟩ MOS scale generated by approximately 5/3, relating it to Arcturus temperament. The preferred generator for a given EDT is the patent val 5/3.
The 9|1 mode of 2L 9s⟨3/1⟩ is represented by 11 naturals CDEFGHJKLAB, and #/b accidentals are used to raise and lower by a chroma (L - s). For relative notation, the TAMNAMS convention of zero-based indices is used. Assuming Arcturus temperament where 7/3 is mapped to the major 8-step, the chord 3:5:7 is notated as C - H - L (P0 - P5 - M8). To notate larger EDTs, Arcturus hendecatonic notation can be combined with ups and downs notation, with ^/v accidentals raising and lowering by 1 EDTstep.
Examples
11edt (equalized):
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
---|---|---|---|---|---|---|---|---|---|---|---|
C | D | E | F | G | H | J | K | L | A | B | C |
P0 | P1 | P2 | P3 | P4 | P5 | P6 | P7 | P8 | P9 | P10 | P11 |
13edt (Bohlen-Pierce):
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
C | Db | D, Eb | E, Fb | F, Gb | G, Hb | H | J | J#, Kb | K | L, Ab | A, Bb | B | C |
P0 | m1 | M1, m2 | M2, m3 | M3, m4 | M4, d5 | P5 | P6 | A6, m7 | M7 | M8, m9 | M9, m10 | M10 | P11 |
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
C | C#, Dbb | Db | D | Eb | E | Fb | F | Gb | G | G#, Hb | H | H#, Jb | J | J#, Kbb | Kb | K | Lb | L | Ab | A | Bb | B | B#, Cb | C |
P0 | A0, d1 | m1 | M1 | m2 | M2 | m3 | M3 | m4 | M4 | A4, d5 | P5 | A5, d6 | P6 | A6, d7 | m7 | M7 | m8 | M8 | m9 | M9 | m10 | M10 | A10, d11 | P11 |
V • T • EMusical notation | |
---|---|
Universal | Sagittal notation |
Just intonation | Functional Just System • Ben Johnston's notation • Helmholtz–Ellis notation • Color notation |
MOS scales | Diamond-MOS notation |
Temperaments | Circle-of-fifths notation • Ups and downs notation • Syntonic–rastmic subchroma notation • Extended meantone notation |
See Musical notation for a longer list of systems by category. See Category:Notation for the most complete, comprehensive list, but not sorted by category. |