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 higher prime limits (starting from H to avoid conflict with note names, and skipping M to avoid | 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. | ||
== Accidentals == | == Accidentals == | ||
{|class="wikitable" | {|class="wikitable" | ||
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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 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. | ||
Revision as of 09:52, 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.
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.