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 --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 05:33, 9 July 2023
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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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 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.