587edo: Difference between revisions

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'''587EDO''' is the [[EDO|equal division of the octave]] into 587 parts of 2.04429 [[cent]]s each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the [[Optimal_patent_val|optimal patent val]] for the 19&183 temperament and the planar temperament cataharry tempering out 19683/19600.
'''587EDO''' is the [[EDO|equal division of the octave]] into 587 parts of 2.04429 [[cent]]s each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the [[Optimal_patent_val|optimal patent val]] for the 19&183 temperament and the planar temperament cataharry tempering out 19683/19600.



Revision as of 21:59, 4 October 2022

← 586edo 587edo 588edo →
Prime factorization 587 (prime)
Step size 2.04429 ¢ 
Fifth 343\587 (701.193 ¢)
Semitones (A1:m2) 53:46 (108.3 ¢ : 94.04 ¢)
Dual sharp fifth 344\587 (703.237 ¢)
Dual flat fifth 343\587 (701.193 ¢)
Dual major 2nd 100\587 (204.429 ¢)
Consistency limit 7
Distinct consistency limit 7

587EDO is the equal division of the octave into 587 parts of 2.04429 cents each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the optimal patent val for the 19&183 temperament and the planar temperament cataharry tempering out 19683/19600.

587EDO is the 107th prime EDO.