57-odd-limit: Difference between revisions
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{{Odd-limit navigation}}¨The '''57-odd-limit''' is the set of all [[Rational interval|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 57 and ''k'' is an integer. To the 55-odd-limit, it adds 18 pairs of [[octave-reduced]] intervals involving 57. | {{Odd-limit navigation|57}}¨The '''57-odd-limit''' is the set of all [[Rational interval|rational intervals]] which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ 57 and ''k'' is an integer. To the 55-odd-limit, it adds 18 pairs of [[octave-reduced]] intervals involving 57. | ||
Below is a list of all octave-reduced intervals in the 57-odd-limit. | Below is a list of all octave-reduced intervals in the 57-odd-limit. | ||
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The smallest EDO to be consistent in the 57-odd-limit is [[20567edo]], on which it is also distinctly consistent and ''almost'' purely consistent (harmonic 49 is off by 26.3%). | The smallest EDO to be consistent in the 57-odd-limit is [[20567edo]], on which it is also distinctly consistent and ''almost'' purely consistent (harmonic 49 is off by 26.3%). | ||
[[Category:Odd limits]] | |||