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 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]].

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.

Revision as of 00:04, 4 May 2022 view source Godtone (talk \| contribs) autopatrolled, emailconfirmed 2,635 edits m added more primes ← Older edit		Revision as of 04:20, 7 June 2022 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,677 edits No edit summary Newer edit →
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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 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]].

	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.