2000edo: Difference between revisions
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'''2000edo''' is the 2000 equal division divides the octave into 2000 equal parts of exactly 0.6 [[cent]]s each. It is distinctly consistent through the 29 limit and a strong | '''2000edo''' is the 2000 equal division divides the octave into 2000 equal parts of exactly 0.6 [[cent]]s each. 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]]. | ||
2000 = 2^4 * 5^3; some of its divisors are [[10edo|10]], [[16edo|16]], [[25edo|25]], [[50edo|50]], [[80edo|80]], [[100edo|100]], [[125edo|125]] and [[200edo|200]]. Also there is the 1000 division of [[millioctave]]s, where it might be argued that cutting these in half makes for a better system. | 2000 = 2^4 * 5^3; some of its divisors are [[10edo|10]], [[16edo|16]], [[25edo|25]], [[50edo|50]], [[80edo|80]], [[100edo|100]], [[125edo|125]] and [[200edo|200]]. Also there is the 1000 division of [[millioctave]]s, where it might be argued that cutting these in half makes for a better system. | ||
{{Primes in edo|2000|columns= | {{Primes in edo|2000|columns=13}} | ||
[[Category:29-limit]] | [[Category:29-limit]] | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||
Revision as of 00:04, 4 May 2022
2000edo is the 2000 equal division divides the octave into 2000 equal parts of exactly 0.6 cents each. 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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