Consistency: Difference between revisions

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The concept only makes sense for equal temperaments and not for unequal rank-2 (or higher) temperaments, since for some choices of generator sizes in these temperaments, you can get any ratio you want to arbitary accuracy by piling up a lot of generators (assuming the generator is an irrational fraction of the octave).
The concept only makes sense for equal temperaments and not for unequal rank-2 (or higher) temperaments, since for some choices of generator sizes in these temperaments, you can get any ratio you want to arbitary accuracy by piling up a lot of generators (assuming the generator is an irrational fraction of the octave).


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 limits of small EDOs]]'' shows the largest odd limit that a given EDO is consistent or uniquely consistent in.


== Mathematical Definition ==
== Mathematical Definition ==