Fractional sharp notation: Difference between revisions
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VERY WIP (I'll move it to the main namespace if it's finished.) | VERY WIP (I'll move it to the main namespace if it's finished.) | ||
The '''letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] and some [[regular temperaments]]. It is [[Pythagorean tuning|Pythagorean]] notation with the letters H-Z used as accidentals for commas in higher prime limits (starting from H to avoid conflict with note names, and skipping M to avoid conflict with the abbreviation for "major"). The rationale for using letters as accidentals is that they are ASCII-compatible, and easy to memorize if in alphabetical order. | The '''letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the [[31-limit]] and some [[regular temperaments]]. It is [[Pythagorean tuning|Pythagorean]] notation with the letters H-Z used as accidentals for commas in higher prime limits (starting from H to avoid conflict with note names, and skipping M to avoid conflict with the abbreviation for "major"). The rationale for using letters as accidentals is that they are ASCII-compatible, and easy to memorize if in alphabetical order. Letters are placed for | ||
== Accidentals == | == Accidentals == | ||
Revision as of 10:05, 7 February 2024
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 commas in higher prime limits (starting from H to avoid conflict with note names, and skipping M to avoid conflict with the abbreviation for "major"). The rationale for using letters as accidentals is that they are ASCII-compatible, and easy to memorize if in alphabetical order. Letters are placed for
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.
For temperaments
Letter notation can be adapted to regular temperaments simply by using the notation of the just intervals being tempered.