102edo: Difference between revisions
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m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
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[[Category:echidnic]] | [[Category:echidnic]] | ||
[[Category: | [[Category:Equal divisions of the octave]] | ||
Revision as of 23:13, 4 December 2020
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
| 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 |