378edo: Difference between revisions

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-The '''378 equal division''' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic|bischismatic temperament]] and in fact provides the [[Optimal_patent_val|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.
+{{EDO intro|378}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+The equal temperament [[tempering out|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit and [[3136/3125]] in the 7-limit, so that it [[support]]s [[bischismic]], and in fact provides the [[optimal patent val]]. It tempers out [[441/440]] and [[8019/8000]] in the 11-limit and [[729/728]] and [[1001/1000]] in the 13-limit so that it supports 11- and 13-limit bischismatic, and it also gives the optimal patent val for 13-limit bischismic.
+=== Prime harmonics ===
+{{Harmonics in equal|378}}
+=== Subsets and supersets ===
+Since 378 factors into {{factorization|378}}, 378edo has subset edos {{EDOs| 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, and 189 }}.
+[[Category:Bischismic]]