102edo
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102edo is the equal division of the octave into 102 steps of size 11.765 cents each. In the 5-limit it tempers out the same commas (2048/2025, 15625/15552, 20000/19683) as 34edo. In the 7-limit it tempers out 686/675 and 1029/1024; in the 11-limit 385/384, 441/440 and 4000/3993; in the 13-limit 91/90 and 169/168; in the 17-limit 136/135 and 154/153; and in the 19-limit 133/132 and 190/189. It is the optimal patent val for 13-limit echidnic temperament, and the rank five temperament tempering out 91/90.
13-limit Echidnic[edit]
2 | 23.529 |
4 | 47.059 |
7 | 82.353 |
9 | 105.882 |
11 | 129.412 |
13 | 152.941 |
16 | 188.235 |
18 | 211.765 |
20 | 235.294 |
22 | 258.824 |
24 | 282.353 |
27 | 317.647 |
29 | 341.176 |
31 | 364.706 |
33 | 388.235 |
35 | 411.765 |
38 | 447.059 |
40 | 470.588 |
42 | 494.117 |
44 | 517.647 |
47 | 552.941 |
49 | 576.471 |