Consistency: Difference between revisions

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 # every instance of an interval in C is mapped to the same size in C', and
 # 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.)
+(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 local neighborhood of the consonant chord in 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]].