User:CompactStar/Letter comma notation

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.

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