24ed7

Division of the 7th harmonic into 24 equal parts (24ed7) is related to the quanic temperament, which tempers out 352/351, 540/539, 729/728, and 1331/1323 in the 13-limit; 352/351, 442/441, 540/539, 561/560, and 715/714 in the 17-limit. The step size is about 140.3677 cents, corresponding to 8.5490 edo.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	140.3677	13/12, 25/23
2	280.7355	20/17
3	421.1032	14/11, 65/51, 51/40, 23/18, 32/25
4	561.4710	18/13
5	701.8387	3/2
6	842.2065	13/8, 80/49
7	982.5742	30/17
8	1122.9420	21/11
9	1263.3097	56/27, 27/13
10	1403.6775	9/4
11	1544.0452	56/23, 39/16, 22/9, 120/49
12	1684.4130	119/45, 45/17
13	1824.7807	63/22, 112/39, 23/8
14	1965.1484	28/9
15	2105.5162	91/27, 27/8
16	2245.8839	11/3
17	2386.2517	119/30, 143/36
18	2526.6194	56/13
19	2666.9872	14/3
20	2807.3549	91/18
21	2947.7227	11/2
22	3088.0904	119/20
23	3228.4582	84/13
24	3368.8259	exact 7/1	harmonic seventh plus two octaves