265edo: Difference between revisions
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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|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi|sqrtphi temperament]], for which it provides the [[Optimal_patent_val|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. | 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|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi|sqrtphi temperament]], for which it provides the [[Optimal_patent_val|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. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||
Revision as of 19:06, 3 July 2022
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.