695edo: Difference between revisions

Revision as of 08:19, 22 October 2023

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.

Approximation of odd harmonics in 695edo
Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.779	+0.449	-0.193	-0.169	-0.527	+0.336	-0.499	+0.368	-0.535	+0.586	+0.215
Error	Relative (%)	+45.1	+26.0	-11.2	-9.8	-30.5	+19.4	-28.9	+21.3	-31.0	+33.9	+12.4
Steps (reduced)		1102 (407)	1614 (224)	1951 (561)	2203 (118)	2404 (319)	2572 (487)	2715 (630)	2841 (61)	2952 (172)	3053 (273)	3144 (364)

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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&gt;; 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.
+{{EDO intro|695}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+In the 5-limit it [[tempering out|tempers out]] the [[escapade comma]], {{monzo| 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.
+=== Odd harmonics ===
+{{Harmonics in equal|695}}
+[[Category:Hemimage]]