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Consistency limits of small EDOs: Difference between revisions

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m Fredg999 moved page Consistency levels of small EDOs to Consistency limits of small EDOs: Following the vocabulary update in the latest edit
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m re-worded definition to be closer to "consistency" page
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An [[EDO]] N is [[consistent]] with respect to a set of rational numbers s if the [[patent val]] mapping of every element of s is the nearest N-EDO approximation. It is [[distinctly/uniquely consistent]] if every element of s is mapped to a distinct/unique value. If the set s is the q [[odd limit]], we say N is q-limit consistent and q-limit distinctly/uniquely consistent, respectively. Below is a table of every EDO up to 99. "Consistent" gives the consistency limit, and "Distinct" the distinct/unique consistency limit. "Consistency level" gives the [[consistency level]] (consistency diameter? consistency distance?) of every odd limit from 3 to 23.
An [[EDO]] N is [[consistent]] with respect to a set of rational numbers s if the [[direct approximation]] of every element of s is the closest N-EDO approximation. It is [[distinctly consistent]] if every element of s is mapped to a distinct value. If the set s is the q [[odd limit]], we say N is q-limit consistent and q-limit distinctly consistent, respectively. Below is a table of every EDO up to 99. "Consistent" gives its "consistency limit", i.e. the highest odd limit to which the EDO is consistent, and "Distinct" gives the "distinct consistency limit" i.e. the highest odd limit to which the EDO is distinctly consistent. The remaining columns give the "Consistency distance", see [[Consistency to distance ''d'']] (also called Consistency level) for every odd limit from 3 to 23.


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