User:CompactStar/JI notation

(This may be moved to mainspace when it is more fleshed out)

The naturals CDEFGAB correspond to Pythagorean intervals. Sharp and flat accidentals raise/lower by 2187/2048, and half-sharp and half-flat accidentals raise/lower by 33/32. To represent non-2.3.11 subgroup intervals, a comma-seperated list of primes, each of which multiplies the basic note by a comma, is added (e.g. 5/4 = E[-5], 13/10 = Fd[+13, -5]).

Commas

Prime	Comma	Notation of harmonic
5	81/80	5/4 = E[-5]
7	896/891	7/4 = At[+7]
13	144/143	13/8 = Ad[-13]
17	2187/2176	17/16 = C#[-17]
19	513/512	19/16 = Eb[+19]
23	736/729	23/16 = F#[+23]
29	261/256	29/16 = Bb[+29]
31	1024/1023	31/16 = Cd[-31]
37	297/296	37/32 = Dt[-37]
41	82/81	41/32 = E[+41]
43	129/128	43/32 = F[+43]
47	517/512	47/32 = Gd[+47]
53	583/576	53/32 = Ad[+53]

15-odd-limit

Interval	Notation
16/15	Db[+5]
15/14	Dd[-5, -7]
14/13	Ctt[+7, +13]
13/12	Dd[-13]
12/11	Dd
11/10	Dbt[+5]
10/9	D[-5]
9/8	D
8/7	Ebd[-7]
15/13	Dt[-5, +13]
7/6	Dt[+7]
13/11	Edd[-13]
6/5	Eb[+5]