265edo

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Revision as of 21:29, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
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← 264edo 265edo 266edo →
Prime factorization 5 × 53
Step size 4.5283 ¢ 
Fifth 155\265 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 25:20 (113.2 ¢ : 90.57 ¢)
Consistency limit 9
Distinct consistency limit 9

The 265 equal division divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as 53edo, including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports sqrtphi temperament, for which it provides the optimal patent val. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.