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 |