Consistency: Difference between revisions
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# 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 the only such approximation, since changing one interval would make that interval go over the 50% threshold.) | (If such an approximation exists, it must be the only such approximation, since changing one interval would make that interval go over the 50% error threshold.) | ||
In this formulation, 12edo represents the chord 1:3:5:7:9:17:19 consistently. Note: The chord definition disagrees with the subgroup definition for some chords such as 1:3:81:243 in [[80edo]]. This is a feature, not a bug, as the distinction can be useful in some circumstances. | In this formulation, 12edo represents the chord 1:3:5:7:9:17:19 consistently. Note: The chord definition disagrees with the subgroup definition for some chords such as 1:3:81:243 in [[80edo]]. This is a feature, not a bug, as the distinction can be useful in some circumstances. | ||