# 81edo

*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.

# Commas

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