446edo: Difference between revisions

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-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|optimal patent val]] for the 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.
+{{Infobox ET}}
+{{ED intro}}
-'''PRIME FACTORIZATION:'''
+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.
-[[2edo|2]] * [[223edo|223]]      [[Category:hemimean]]
+=== Odd harmonics ===
+{{Harmonics in equal|446}}
+=== Subsets and supersets ===
+Since 446 factors into {{factorization|446}}, 446edo contains [[2edo]] and [[223edo]] as subsets.
+[[Category:Hemimean]]
+[[Category:Sengagen]]