User:CompactStar/Letter comma notation: Difference between revisions
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The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5. | The letters are placed before interval and note names, so [[5/4]] is IM3 (I-major third) and [[7/4]] is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so [[7/5]] is IJd5. | ||
This system can also be used to notate [[regular temperament]]s | == For tempered system == | ||
This system can also be used to notate [[regular temperament]]s, including both [[equal temperament]]s and multirank temperaments. It should be noted that [[EDO]] systems will have many different temperament interpretations, and thus many different notations (for example, 24edo can be notated with the quarter-tone as J = [[64/63]], L = [[33/32]], N = [[1053/10244]] and so on). | |||
Revision as of 04:56, 8 April 2024
VERY WIP (I'll move it to the main namespace if it's finished.)
The letter comma notation (LCN) is a notation scheme developed by CompactStar for just intonation up to the 31-limit as well as regular temperaments based on it. It is based on 3-limit notation with the letters H-Y used as accidentals representing higher-limit commas (starting from H to avoid conflict with note names). Each comma is associated to a prime limit and uses 2 letters, one for the ascending accidental and one for the descending accidental. It bears some similarities to SKULO interval names and the Functional Just System.
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 | M | 32/33 |
| 13 | N | 1053/1024 | O | 1024/1053 |
| 17 | P | 4131/4096 | Q | 4096/4131 |
| 19 | R | 513/512 | S | 512/513 |
| 23 | T | 736/729 | U | 729/736 |
| 29 | V | 261/256 | W | 256/261 |
| 31 | X | 32/31 | Y | 31/32 |
The letters are placed before interval and note names, so 5/4 is IM3 (I-major third) and 7/4 is Km7 (K-minor seventh), and above C these would be IE and KBb. When letters are stacked, they are put in alphabetical order, so 7/5 is IJd5.
For tempered system
This system can also be used to notate regular temperaments, including both equal temperaments and multirank temperaments. It should be noted that EDO systems will have many different temperament interpretations, and thus many different notations (for example, 24edo can be notated with the quarter-tone as J = 64/63, L = 33/32, N = 1053/10244 and so on).