703edo: Difference between revisions

BudjarnLambeth (talk | contribs)
mNo edit summary
Cleanup; -redundant categories
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
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]].
{{EDO intro|703}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
703 = 19 × 37, and the equal temperament [[tempering out|tempers out]] the [[enneadeca]], {{monzo| -14 -19 19 }}. In the 7-limit the [[patent val]] 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]] for [[indra]] and [[eris]]. In the 13-limit, it tempers out [[729/728]], [[2080/2079]] and [[6656/6655]], and provides the optimal patent val for [[shibi]].
 
=== Odd harmonics ===
{{Harmonics in equal|703}}