473edo: Difference between revisions

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-The ''473 equal division'' divides the octave into 473 equal parts of 2.537 cents each. It tempers out the kleisma, 15625/15552, in the 5-limit and 5120/5103 in the 7-limit, providing the [[Optimal_patent_val|optimal patent val]] for 7-limit [[Kleismic_family#Countercata|countercata temperament]].
+{{Infobox ET}}
+{{ED intro}}
-[[category:edo]]
+edo is in[[consistent]] to the [[5-odd-limit]] with large errors on both [[harmonic]]s [[3/1|3]] and [[5/1|5]]. It is most notable for [[tempering out]] the kleisma, [[15625/15552]], in the 5-limit and [[5120/5103]] in the 7-limit, providing the [[optimal patent val]] for the 7-limit [[countercata]] temperament.
-[[Category:countercata]]
-[[Category:kleisma]]
+=== Odd harmonics ===
-[[category:todo:expand]]
+{{Harmonics in equal|473}}
+=== Subsets and supersets ===
+Since 473 factors into {{factorization|473}}, 473edo contains [[11edo]] and [[43edo]] as subsets.
+[[Category:Countercata]]
+[[Category:Kleismic]]