24ed10

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24ED10 is the equal division of the 10th harmonic into 24 parts of 166.0964 cents each. It is related to the sanjaab temperament, which tempers out 225/224, 275/273, 847/845, and 1331/1323 in the 13-limit.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 166.0964 11/10
2 332.1928 63/52, 40/33
3 498.2892 4/3
4 664.3856 22/15
5 830.4820 21/13
6 996.5784 16/9
7 1162.6748 39/20, 88/45
8 1328.7712 28/13
9 1494.8676 64/27, 19/8
10 1660.9640 13/5, 60/23
11 1827.0605 66/23, 23/8
12 1993.1569 60/19, 256/81, 405/128, 19/6
13 2159.2533 52/15, 66/19, 80/23
14 2325.3497 88/23, 23/6, 50/13
15 2491.4461 21/5, 80/19, 135/32
16 2657.5425 88/19, 65/14
17 2823.6389 51/10, 46/9, 225/44
18 2989.7353 28/5, 45/8
19 3155.8317 68/11
20 3321.9281 34/5, 75/11
21 3488.0245 15/2
22 3654.1209 33/4
23 3820.2173 136/15, 100/11
24 3986.3137 exact 10/1 just major third plus three octaves