215edo: Difference between revisions

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The '''215 equal temperament''' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths|hemififths]] temperament.
{{Infobox ET}}
{{ED intro}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
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 ===
{{Harmonics in equal|215}}
 
=== Subsets and supersets ===
Since 215 factors into 5 × 43, 215edo contains [[5edo]] and [[43edo]] as its subsets.
 
[[Category:Ditonic]]
[[Category:Octagar]]