513edo: Difference between revisions

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'''513EDO''' is the [[EDO|equal division of the octave]] into 513 parts of 2.33918 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.
'''513EDO''' is the [[EDO|equal division of the octave]] into 513 parts of 2.33918 [[cent]]s each (dividing the steps of [[171edo|171EDO]] into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.


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

Revision as of 21:58, 4 October 2022

← 512edo 513edo 514edo →
Prime factorization 33 × 19
Step size 2.33918 ¢ 
Fifth 300\513 (701.754 ¢) (→ 100\171)
Semitones (A1:m2) 48:39 (112.3 ¢ : 91.23 ¢)
Consistency limit 11
Distinct consistency limit 11

513EDO is the equal division of the octave into 513 parts of 2.33918 cents each (dividing the steps of 171EDO into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.