215edo: Difference between revisions

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{{Infobox ET}}
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.
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.


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

Revision as of 21:23, 4 October 2022

← 214edo 215edo 216edo →
Prime factorization 5 × 43
Step size 5.5814 ¢ 
Fifth 126\215 (703.256 ¢)
Semitones (A1:m2) 22:15 (122.8 ¢ : 83.72 ¢)
Consistency limit 5
Distinct consistency limit 5

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 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 supports hemififths temperament.