695edo: Difference between revisions

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-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.
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[3/1|3]] is quite large. The equal temperament is most notable for [[tempering out]] [[10976/10935]], providing the [[optimal patent val]] for the [[hemimage]] temperament. It also tempers out the [[escapade comma]], {{monzo| 32 -7 -9 }} in the 5-limit; and {{monzo| 27 0 -8 -3}} and {{monzo| -9 5 -8 7 }} in the 7-limit.
+=== Odd harmonics ===
+{{Harmonics in equal|695}}
+=== Subsets and supersets ===
+Since 695 factors into {{factorization|695}}, 695edo contains [[5edo]] and [[139edo]] as subsets.
+[[Category:Hemimage]]