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 [[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.
The '''255 equal division''' divides the octave into 255 equal parts of 4.706 cents each. It tempers out the [[parakleisma]], {{monzo| 8 14 -13 }}, and the septendecima, {{monzo| -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 the [[mirkat]] temperament, and in fact provides the [[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]].
 
=== Prime harmonics ===
{{Harmonics in equal|255}}
 
[[Category:Equal divisions of the octave]]
[[Category:Mirkat]]