415edo: Difference between revisions

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m Infobox ET added
Cleanup; +prime error table; +subsets and supersets
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{{Infobox ET}}
{{Infobox ET}}
The '''415 equal division''' divides the octave into 415 equal parts of 2.892 cents each. In the 5-limit it tempers out the parakleisma, |8 14 -13>; in the 7-limit 3136/3125 and 4375/4374, so that it [[support]]s parakleismic temperament and provides the [[Optimal_patent_val|optimal patent val]].
{{EDO intro|415}}
 
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]].
 
=== Odd harmonics ===
{{Harmonics in equal|415}}
 
=== Subsets and supersets ===
415edo has subset edos {{EDOs| 5 and 83 }}.  


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Parakleismic]]
[[Category:Parakleismic]]