255edo: Difference between revisions

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The ''255 equal division'' divides the octave into 255 equal parts of 4.706 cents each. It tempers out the parakleisma, |8 14 -13>, and the septendecima, |-52 -17 34>, in the 5-limit. In the 7-limit it tempers out cataharry, 19683/19600, mirkwai, 16875/16807 and horwell, 65625/65536, so that it supports [[Mirkwai_clan#Mirkat|mirkat temperament]], and in fact provides the [[Optimal_patent_val|optimal patent val]]. It also gives the optimal patent val for mirkat in the 11-limit, tempering out 540/539, 1375/1372, 3025/3024 and 8019/8000. In the 13-limit it tempers out 847/845, 625/624, 1575/1573 and 1716/1715.
The ''255 equal division'' divides the octave into 255 equal parts of 4.706 cents each. It tempers out the parakleisma, |8 14 -13>, and the septendecima, |-52 -17 34>, in the 5-limit. In the 7-limit it tempers out cataharry, 19683/19600, mirkwai, 16875/16807 and horwell, 65625/65536, so that it [[support]]s [[Mirkwai_clan#Mirkat|mirkat temperament]], and in fact provides the [[Optimal_patent_val|optimal patent val]]. It also gives the optimal patent val for mirkat in the 11-limit, tempering out 540/539, 1375/1372, 3025/3024 and 8019/8000. In the 13-limit it tempers out 847/845, 625/624, 1575/1573 and 1716/1715.