215edo: Difference between revisions

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{{EDO intro}}
{{EDO intro}}


215edo [[tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].
215et [[tempering out|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 215 factors into {{factorization|215}}, 215edo contains [[5edo]] and [[43edo]] as its subsets.  
Since 215 factors into 5 × 43, 215edo contains [[5edo]] and [[43edo]] as its subsets.  


[[Category:Ditonic]]
[[Category:Ditonic]]
[[Category:Octagar]]
[[Category:Octagar]]