Fractional sharp notation
VERY WIP (I'll move it to the main namespace if it's finished.)
The letter notation is a notation scheme developed by CompactStar for just intonation up to the 31-limit and some regular temperaments. It is Pythagorean notation with the letters H-Z used as accidentals for higher prime limits (starting from H to avoid conflict with note names, and skipping M to avoid potential confusion with the abbreviation for "major").
Accidentals
Prime limit | Letter | Ratio | Letter | Ratio |
---|---|---|---|---|
5 | H | 81/80 | I | 80/81 |
7 | J | 64/63 | K | 63/64 |
11 | L | 33/32 | N | 32/33 |
13 | O | 1053/1024 | P | 1024/1053 |
17 | Q | 4131/4096 | R | 4096/4131 |
19 | S | 513/512 | T | 512/513 |
23 | U | 736/729 | V | 729/736 |
29 | W | 261/256 | X | 256/261 |
31 | Y | 32/31 | Z | 31/32 |
For example, 5/4 is IM3 (I-major third), 7/4 is Km7 (K-minor seventh) and 11/8 is LP4 (L-perfect fourth). Above C, these would be written IE, KBb and LF respectively.
This system can also be used to notate regular temperaments (including both equal temperaments and rank-2 or higher). For example, 24edo could be notated by using 12edo notation together with L/M to denote the tempered 33/32 quartertone of 50 cents:
Notation |
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