Consistency: Difference between revisions

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# no interval within ''C' '' has [[relative error]] 1\2''m'' or more.

(The 1\2m threshold is meant to allow stacking ''m'' dyads that occur in the chord without having the sum of the dyads have over 50% relative error. Since "consistent to distance m" conveys the idea that a small part of the JI lattice is mapped nicely, an approximation consistent to distance m would play more nicely in a regular temperament-style [[subgroup]] context.)

For example, 4:5:6:7:9:15 is consistent to distance 1 in [[31edo]].

The page ''[[Minimal consistent EDOs]]'' shows the smallest edo that is consistent or uniquely consistent in a given odd limit while the page ''[[Consistency levels of small EDOs]]'' shows the largest odd limit that a given edo is consistent or uniquely consistent in.

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 # no interval within ''C' '' has [[relative error]] 1\2''m'' or more.
 (The 1\2m threshold is meant to allow stacking ''m'' dyads that occur in the chord without having the sum of the dyads have over 50% relative error. Since "consistent to distance m" conveys the idea that a small part of the JI lattice is mapped nicely, an approximation consistent to distance m would play more nicely in a regular temperament-style [[subgroup]] context.)
+For example, 4:5:6:7:9:15 is consistent to distance 1 in [[31edo]].
 The page ''[[Minimal consistent EDOs]]'' shows the smallest edo that is consistent or uniquely consistent in a given odd limit while the page ''[[Consistency levels of small EDOs]]'' shows the largest odd limit that a given edo is consistent or uniquely consistent in.