20567edo

Revision as of 20:54, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
← 20566edo 20567edo 20568edo →
Prime factorization 131 × 157
Step size 0.0583459 ¢ 
Fifth 12031\20567 (701.959 ¢)
Semitones (A1:m2) 1949:1546 (113.7 ¢ : 90.2 ¢)
Consistency limit 57
Distinct consistency limit 57

20567edo is a remarkable very high limit equal temperament, dividing the octave equally into 20567 parts of 0.0583459 cents each. It is consistent through the 57-limit distinctly, tempering out 33814/33813, 35344/35343, 37180/37179, 42484/42483, 42688/42687, 47125/47124, 48504/48503, 67915/67914, 70500/70499, 91885/91884, 126225/126224, 156520/156519, 194580/194579, 206800/206793, and 561925/561924 in the 53-limit.