703edo

Revision as of 22:01, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
← 702edo 703edo 704edo →
Prime factorization 19 × 37
Step size 1.70697 ¢ 
Fifth 411\703 (701.565 ¢)
Semitones (A1:m2) 65:54 (111 ¢ : 92.18 ¢)
Consistency limit 5
Distinct consistency limit 5

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.