Consistency: Difference between revisions
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# no interval within ''C' '' has [[relative error]] 25% or more. | # no interval within ''C' '' has [[relative error]] 25% or more. | ||
(The 25% threshold is meant to allow stacking two dyads ''a'', ''b'' once without having the sum ''a + b'' of the dyads have over 50% relative error; thus a strongly consistent approximation would play more nicely in a regular temperament-style [[subgroup]] context.) | (The 25% threshold is meant to allow stacking two dyads ''a'', ''b'' once without having the sum ''a + b'' of the dyads have over 50% relative error; thus a strongly consistent approximation would play more nicely in a regular temperament-style [[subgroup]] context.) | ||
An equivalent definition is that ''N''-edo represents ''C'' strongly consistently if ''2N''-edo represents ''C'' consistently. | |||
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. | 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. | ||