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 29-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]].

'''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.

[[Category:29-limit]]

[[Category:Equal divisions of the octave]]

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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 29-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]].
+'''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]].
 = 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=10}}
+{{Primes in edo|2000|columns=13}}
 [[Category:29-limit]]
 [[Category:Equal divisions of the octave]]