446edo: Difference between revisions

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-{{novelty}}{{stub}}{{Infobox ET}}
+{{Infobox ET}}
-The '''446 equal division''' divides the octave into 446 equal parts of 2.691 cents each. It tempers out [[3136/3125]] and [[420175/419904]] in the 7-limit, and provides the [[optimal patent val]] for the [[Hemimean family #Hemimean|hemimean]] temperament tempering out 3136/3125, and [[Hemimean clan #Sengagen|sengagen]], the 49&amp;50 temperament. In the 11-limit it tempers out [[9801/9800]] and gives the optimal patent val for the 50&amp;198 temperament.
+{{ED intro}}
-Prime factorization: [[2edo|2]] × [[223edo|223]].
+edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[5/1|5]] is quite large. The equal temperament [[tempering out|tempers out]] [[3136/3125]] and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the [[hemimean]] temperament tempering out 3136/3125, and [[sengagen]], the {{nowrap|99 &amp; 347}} temperament. In the 11-limit it tempers out [[9801/9800]] and gives the optimal patent val for the 198 &amp; 248 temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|446}}
+=== Subsets and supersets ===
+Since 446 factors into {{factorization|446}}, 446edo contains [[2edo]] and [[223edo]] as subsets.
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Hemimean]]
 [[Category:Sengagen]]