415edo: Difference between revisions

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-{{novelty}}{{stub}}{{Infobox ET}}
+{{Infobox ET}}
-{{EDO intro|415}}
+{{ED intro}}
-If [[5/1|harmonic 5]] is used, 415edo tends very sharp. In the 5-limit the equal temperament tempers out the [[parakleisma]], {{monzo| 8 14 -13 }}; in the 7-limit [[3136/3125]] and [[4375/4374]], so that it [[support]]s the [[parakleismic]] temperament and provides the [[optimal patent val]].
+If [[5/1|harmonic 5]] is used, 415edo tends very sharp. In the 5-limit the equal temperament [[tempering out|tempers out]] the [[parakleisma]], {{monzo| 8 14 -13 }}; in the 7-limit [[3136/3125]] and [[4375/4374]], so that it [[support]]s [[parakleismic]], the 99 & 316 temperament, and provides the [[optimal patent val]]. In the 11-limit it tempers out 12005/11979, [[16384/16335]], and [[41503/41472]]; and in the 13-limit, [[676/675]], [[1001/1000]], [[2080/2079]], 3584/3575, and [[10648/10647]].
 === Odd harmonics ===
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 === Subsets and supersets ===
-edo has subset edos {{EDOs| 5 and 83 }}.
+Since 415 factors into {{factorization|415}}, 415edo contains [[5edo]] and [[83edo]] as subsets.
 [[Category:Parakleismic]]