2000edo: Difference between revisions

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{{EDO intro|2000}} It is distinctly consistent through the 29 limit and a strong no-31's 41-limit system; the only smaller edo with a smaller [[29-limit]] [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] being [[1578edo]]. The only ones superior to it in the [[23-limit]] are 1578 and [[1889edo]], and in the [[19-limit]], nothing smaller defeats it, the first edo to do so being [[2460edo]].
{{EDO intro|2000}} It is distinctly consistent through the 29 limit and a strong no-31's 41-limit system; the only smaller edo with a smaller [[29-limit]] [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] being [[1578edo]]. The only ones superior to it in the [[23-limit]] are 1578 and [[1889edo]], and in the [[19-limit]], nothing smaller defeats it, the first edo to do so being [[2460edo]].



Revision as of 22:13, 4 October 2022

← 1999edo 2000edo 2001edo →
Prime factorization 24 × 53
Step size 0.6 ¢ 
Fifth 1170\2000 (702 ¢) (→ 117\200)
Semitones (A1:m2) 190:150 (114 ¢ : 90 ¢)
Consistency limit 29
Distinct consistency limit 29

Template:EDO intro It is distinctly consistent through the 29 limit and a strong no-31's 41-limit system; the only smaller edo with a smaller 29-limit relative error being 1578edo. The only ones superior to it in the 23-limit are 1578 and 1889edo, and in the 19-limit, nothing smaller defeats it, the first edo to do so being 2460edo.

2000 = 2^4 * 5^3; some of its divisors are 10, 16, 25, 50, 80, 100, 125 and 200. Also there is the 1000 division of millioctaves, where it might be argued that cutting these in half makes for a better system.

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