73709edo: Difference between revisions

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'''73709EDO''' is the [[EDO|equal division of the octave]] into 73709 parts of 0.01628024 [[cent]]s each. While it is distinctly consistent through the 11 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller EDO. It tempers out |21 290 -207> and |-573 237 85> (quark) in the 5-limit.
'''73709EDO''' is the [[EDO|equal division of the octave]] into 73709 parts of 0.01628024 [[cent]]s each. While it is distinctly consistent through the 11 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller EDO. It tempers out |21 290 -207> and |-573 237 85> (quark) in the 5-limit.


[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->
[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->

Revision as of 22:29, 4 October 2022

← 73708edo 73709edo 73710edo →
Prime factorization 73709 (prime)
Step size 0.0162802 ¢ 
Fifth 43117\73709 (701.955 ¢)
Semitones (A1:m2) 6983:5542 (113.7 ¢ : 90.23 ¢)
Consistency limit 11
Distinct consistency limit 11

73709EDO is the equal division of the octave into 73709 parts of 0.01628024 cents each. While it is distinctly consistent through the 11 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit relative error than any smaller EDO. It tempers out |21 290 -207> and |-573 237 85> (quark) in the 5-limit.