Consistency: Difference between revisions

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(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% 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. Note: The chord definition disagrees with the subgroup definition for some chords such as 1:3:81:243 in [[80edo]]


The concept only makes sense for edos and not for non-edo rank-2 (or higher) temperaments, since in these tunings you can get any ratio you want to arbitary accuracy by piling up a lot of generators.
The concept only makes sense for edos and not for non-edo rank-2 (or higher) temperaments, since in these tunings you can get any ratio you want to arbitary accuracy by piling up a lot of generators.