311edo: Difference between revisions
Move Godtone's table and explanation to the Higher-limit JI section. Request creation of a more usable interval table. |
→JI approximation: note its monotonicity limit |
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=== Higher-limit JI === | === Higher-limit JI === | ||
311edo does not maintain [[monotonicity]] in the 43-odd-limit using either mapping for 43. Therefore it may be best to consider 311edo a temperament of the 41-limit, with sporadic additional primes. | |||
The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely [[consistent]]ly, and as aforementioned, the 77-odd-limit subset of that odd-limit is purely consistent, to which a variety of odds can be added that keep pure consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete. | The 41-limit add-73 add-89 add-101 add-109 add-113 123-odd-limit is represented very close to completely [[consistent]]ly, and as aforementioned, the 77-odd-limit subset of that odd-limit is purely consistent, to which a variety of odds can be added that keep pure consistency, but for comprehensiveness and practical use as a temperament approximating the low-to-mid end of the harmonic series, we consider a larger odd-limit than that which seeks to be more complete. | ||
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| '''[[2/1]]''' | | '''[[2/1]]''' | ||
|} | |} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||