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- | 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 potential confusion with the abbreviation for "major"). | ||
== Accidentals == | == Accidentals == | ||
{|class="wikitable" | {|class="wikitable" | ||
| Line 27: | Line 26: | ||
|L | |L | ||
|[[33/32]] | |[[33/32]] | ||
| | |N | ||
|32/33 | |32/33 | ||
|- | |- | ||
|13 | |13 | ||
| | |O | ||
|[[1053/1024]] | |[[1053/1024]] | ||
| | |P | ||
|1024/1053 | |1024/1053 | ||
|- | |- | ||
|17 | |17 | ||
| | |Q | ||
|[[4131/4096]] | |[[4131/4096]] | ||
| | |R | ||
|4096/4131 | |4096/4131 | ||
|- | |- | ||
|19 | |19 | ||
| | |S | ||
|[[513/512]] | |[[513/512]] | ||
| | |T | ||
|512/513 | |512/513 | ||
|- | |- | ||
|23 | |23 | ||
| | |U | ||
|[[736/729]] | |[[736/729]] | ||
| | |V | ||
|729/736 | |729/736 | ||
|- | |- | ||
|29 | |29 | ||
| | |W | ||
|[[261/256]] | |[[261/256]] | ||
| | |X | ||
|256/261 | |256/261 | ||
|- | |- | ||
|31 | |31 | ||
| | |Y | ||
|[[32/31]] | |[[32/31]] | ||
| | |Z | ||
|31/32 | |31/32 | ||
|} | |} | ||
For example, [[5/4]] is IM3 | 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 temperament]]s (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: | This system can also be used to notate [[regular temperament]]s (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: | ||
Revision as of 09:47, 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 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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