703edo: Difference between revisions
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The ''703 equal division'' divides the octave into 703 equal parts of 1.707 cents each. 703 = 19 * 37, and 703 tempers out the enneadeca, the 19-comma, |-14 -19 19>. In the 7-limit it tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it [[support]]s and gives the [[Optimal_patent_val|optimal patent val]] in [[Mirkwai_family|indra temperament]] and [[Mirkwai_clan#Eris|eris temperament]]. In the 13-limit, it tempers out 729/728, 2080/2079 and 6656/6655, and provides the optimal patent val for [[Mirkwai_family#Indra-Shibi|shibi temperament]]. | The '''703 equal division''' divides the octave into 703 equal parts of 1.707 cents each. 703 = 19 * 37, and 703 tempers out the enneadeca, the 19-comma, |-14 -19 19>. In the 7-limit it tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it [[support]]s and gives the [[Optimal_patent_val|optimal patent val]] in [[Mirkwai_family|indra temperament]] and [[Mirkwai_clan#Eris|eris temperament]]. In the 13-limit, it tempers out 729/728, 2080/2079 and 6656/6655, and provides the optimal patent val for [[Mirkwai_family#Indra-Shibi|shibi temperament]]. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||
Revision as of 01:05, 4 July 2022
The 703 equal division divides the octave into 703 equal parts of 1.707 cents each. 703 = 19 * 37, and 703 tempers out the enneadeca, the 19-comma, |-14 -19 19>. In the 7-limit it tempers out 16875/16807 and 65635/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it supports and gives the optimal patent val in indra temperament and eris temperament. In the 13-limit, it tempers out 729/728, 2080/2079 and 6656/6655, and provides the optimal patent val for shibi temperament.