2000edo: Difference between revisions

Line 1:

~~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 29-limit system; the only smaller edo with a smaller 29-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] being [[1578edo~~|1578~~]]. The only ones to ~~beat~~ it in the 23-limit are 1578 and [[1889edo~~|1889~~]], and in the 19-limit, nothing smaller defeats it, the first edo to do so being [[2460edo~~|2460~~]].

'''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]].

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~~|millioctaves~~]], 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.

[[Category:Edo]]

@@ Line 1: / Line 1: @@
-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 29-limit system; the only smaller edo with a smaller 29-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] being [[1578edo|1578]]. The only ones to beat it in the 23-limit are 1578 and [[1889edo|1889]], and in the 19-limit, nothing smaller defeats it, the first edo to do so being [[2460edo|2460]].
+'''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]].
-= 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|millioctaves]], where it might be argued that cutting these in half makes for a better system.
+= 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:Edo]]