Consistency: Difference between revisions
m →Consistency to distance d: var changed to d Tags: Mobile edit Mobile web edit |
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# every instance of an interval in C is mapped to the same size in C', and | # 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(''d''+1)) or more. | # no interval within ''C' '' has [[relative error]] 1/(2(''d''+1)) or more. | ||
(The 1/(2('' | (The 1/(2(''d''+1)) threshold is meant to allow stacking ''d'' dyads that occur in the chord without having the sum of the dyads have over 50% relative error.) | ||
Since a consistent approximation must be unique, it suffices to find the consistent approximation and check the relative error of that one chord to check distance-''d'' consistency. | Since a consistent approximation must be unique, it suffices to find the consistent approximation and check the relative error of that one chord to check distance-''d'' consistency. | ||