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 | The '''greek letter notation''' is a notation scheme developed by [[User:CompactStar|CompactStar]] for [[just intonation]] up to the | ||
== Accidentals == | == Accidentals == | ||
{|class="wikitable" | {|class="wikitable" | ||
| Line 13: | Line 12: | ||
|- | |- | ||
|5 | |5 | ||
| | |α | ||
|[[81/80]] | |[[81/80]] | ||
| | |β | ||
|80/81 | |80/81 | ||
|- | |- | ||
|7 | |7 | ||
| | |γ | ||
|[[64/63]] | |[[64/63]] | ||
| | |δ | ||
|63/64 | |63/64 | ||
|- | |- | ||
|11 | |11 | ||
| | |ε | ||
|[[33/32]] | |[[33/32]] | ||
| | |ζ | ||
|32/33 | |32/33 | ||
|- | |- | ||
|13 | |13 | ||
| | |η | ||
|[[1053/1024]] | |[[1053/1024]] | ||
| | |θ | ||
|1024/1053 | |1024/1053 | ||
|- | |- | ||
|17 | |17 | ||
| | |ι | ||
|[[4131/4096]] | |[[4131/4096]] | ||
| | |κ | ||
|4096/4131 | |4096/4131 | ||
|- | |- | ||
Revision as of 23:56, 28 February 2024
VERY WIP (I'll move it to the main namespace if it's finished.)
The greek letter notation is a notation scheme developed by CompactStar for just intonation up to the
Accidentals
| Prime limit | Letter | Ratio | Letter | Ratio |
|---|---|---|---|---|
| 5 | α | 81/80 | β | 80/81 |
| 7 | γ | 64/63 | δ | 63/64 |
| 11 | ε | 33/32 | ζ | 32/33 |
| 13 | η | 1053/1024 | θ | 1024/1053 |
| 17 | ι | 4131/4096 | κ | 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.