695edo: Difference between revisions

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{{Infobox ET}}
The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, |32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.
The '''695 equal division''' divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, |32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the [[Optimal_patent_val|optimal patent val]] for the hemimage planar temperament, tempering out 10976/10935.


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 22:01, 4 October 2022

← 694edo 695edo 696edo →
Prime factorization 5 × 139
Step size 1.72662 ¢ 
Fifth 407\695 (702.734 ¢)
Semitones (A1:m2) 69:50 (119.1 ¢ : 86.33 ¢)
Dual sharp fifth 407\695 (702.734 ¢)
Dual flat fifth 406\695 (701.007 ¢)
Dual major 2nd 118\695 (203.741 ¢)
Consistency limit 5
Distinct consistency limit 5

The 695 equal division divides the octave into 695 equal parts of 1.727 cents each. In the 5-limit it tempers out the escapade comma, |32 -7 -9>; in the 7-limit it tempers out 10976/10935 and 200120949/200000000, and provides the optimal patent val for the hemimage planar temperament, tempering out 10976/10935.