491edo: Difference between revisions

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'''491EDO''' is the [[EDO|equal division of the octave]] into 491 parts of 2.44399 [[cent]]s each. In the 5-limit it tempers out the parakleima, |8 14 -13>; in the 7-limit 65625/65536 and 420175/419904; in the 11-limit 441/440 and 8019/8000; in the 13-limit 729/728 and 4225/4224, and provides the [[Optimal_patent_val|optimal patent val]] for 11-limit [[Werckismic_temperaments#History|history temperament]], tempering out 441/440 and 4000/3993.
'''491EDO''' is the [[EDO|equal division of the octave]] into 491 parts of 2.44399 [[cent]]s each. In the 5-limit it tempers out the parakleima, |8 14 -13>; in the 7-limit 65625/65536 and 420175/419904; in the 11-limit 441/440 and 8019/8000; in the 13-limit 729/728 and 4225/4224, and provides the [[Optimal_patent_val|optimal patent val]] for 11-limit [[Werckismic_temperaments#History|history temperament]], tempering out 441/440 and 4000/3993.



Revision as of 21:57, 4 October 2022

← 490edo 491edo 492edo →
Prime factorization 491 (prime)
Step size 2.44399 ¢ 
Fifth 287\491 (701.426 ¢)
Semitones (A1:m2) 45:38 (110 ¢ : 92.87 ¢)
Consistency limit 9
Distinct consistency limit 9

491EDO is the equal division of the octave into 491 parts of 2.44399 cents each. In the 5-limit it tempers out the parakleima, |8 14 -13>; in the 7-limit 65625/65536 and 420175/419904; in the 11-limit 441/440 and 8019/8000; in the 13-limit 729/728 and 4225/4224, and provides the optimal patent val for 11-limit history temperament, tempering out 441/440 and 4000/3993.

491EDO is the 94th prime EDO.