81edo
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81edo divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for meantone and related temperaments and is the optimal patent val for a number of them. In particular it is the optimal patent val for 5-limit meantone, 7-limit meantone, 11-limit meanpop, 13-limit meanpop, and the rank three temperament erato. The electronic music pioneer Daphne Oram was interested in 81edo. Very interestingly, it is also very accurate to the 17 (less than one point five cents flat) and 19 (less than one point two five cents flat).
Commas[edit]
5-limit commas: 81/80, |-48 1 20>
7-limit commas: 81/80, 126/125, |-24 1 0 8>
11-limit commas: 81/80, 126/125, 385/384, 12005/11979
13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591