Consistency limits of small EDOs: Difference between revisions

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 [[Consistent#Consistency to distance d|"Consistency distance"]] (also called "consistency level"<ref>This term was coined by [[Paul Hahn]] in 1996: https://yahootuninggroupsultimatebackup.github.io/mills-tuning-list/topicId_884.html</ref>) for every odd limit from 3 to 23.