Consistency: Difference between revisions
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# every instance of an interval in C is mapped to the same size in C' (for example, 4:6:9 shouldn't be approximated using two different sizes of fifths), and | # every instance of an interval in C is mapped to the same size in C' (for example, 4:6:9 shouldn't be approximated using two different sizes of fifths), and | ||
# no interval within the chord is off by more than 50% of an edo step. | # no interval within the chord is off by more than 50% of an edo step. | ||
If such an approximation exists, it must be unique, since changing one interval would make that interval go over the 50% threshold. | |||
In this formulation, 12edo represents the chord 1:3:5:7:17:19 consistently. | In this formulation, 12edo represents the chord 1:3:5:7:17:19 consistently. | ||