39-odd-limit: Difference between revisions
Proposed a name for all the 39-odd intervals (also thanks Overthink for discovering that distinct odd-limit EDO!) |
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{{Odd-limit navigation}}The 39'''-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'' ≤ 39 and ''k'' is an integer. To the [[37-odd-limit]], it adds 11 pairs of [[octave-reduced]] intervals involving 39. | {{Odd-limit navigation|39}}The 39'''-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'' ≤ 39 and ''k'' is an integer. To the [[37-odd-limit]], it adds 11 pairs of [[octave-reduced]] intervals involving 39. | ||
Below is a list of all octave-reduced intervals in the 39-odd-limit. | Below is a list of all octave-reduced intervals in the 39-odd-limit. | ||
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* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
* '''[[44/39]], [[39/22]]''' | * '''[[44/39]], [[39/22]]''' | ||
* | * [[35/31]], [[62/35]] | ||
* | * [[26/23]], [[23/13]] | ||
* [[17/15]], [[30/17]] | * [[17/15]], [[30/17]] | ||
* [[42/37]], [[37/21]] | * [[42/37]], [[37/21]] | ||