24ed7

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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