4501edo: Difference between revisions

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The '''4501 division''' divides the octave into 4501 equal parts of 0.26661 cents each. It is a very strong 37-limit division, distinctly consistent through the 39 limit, and has the lowest 31-limit and 37-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] of any division until [[16808edo|16808]].
The '''4501 division''' divides the octave into 4501 equal parts of 0.26661 cents each. It is a very strong 37-limit division, distinctly consistent through the 39 limit, and has the lowest 31-limit and 37-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] of any division until [[16808edo|16808]].


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->

Revision as of 22:18, 4 October 2022

← 4500edo 4501edo 4502edo →
Prime factorization 7 × 643
Step size 0.266607 ¢ 
Fifth 2633\4501 (701.977 ¢)
Semitones (A1:m2) 427:338 (113.8 ¢ : 90.11 ¢)
Consistency limit 39
Distinct consistency limit 39

The 4501 division divides the octave into 4501 equal parts of 0.26661 cents each. It is a very strong 37-limit division, distinctly consistent through the 39 limit, and has the lowest 31-limit and 37-limit relative error of any division until 16808.