Interleaving: Difference between revisions

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 == Generalizations ==
 === Mutual interleavability ===
-Periodic scales <math>S, T : \mathbb{Z} \to \mathbb{R}</math> of the same length and equave are ''mutually interleavable'' if there exists <math>\delta\in\mathbb{R}</math> such that ''S'' and ''T'' + δ are interleaved. Note that though a given 2''n''-note scale being a mutually interleaved result of some pair of scales may be trivial, a given pair of scales being mutually interleavable is less so: for example, '''MMMM''' and '''Lsss''' are not mutually interleavable when '''s''' is too small.
+Two periodic scales <math>S, T : \mathbb{Z} \to \mathbb{R}</math> of the same length and equave are ''mutually interleavable'' if there exists <math>\delta\in\mathbb{R}</math> such that ''S'' and ''T'' + δ are interleaved. Note that though a given 2''n''-note scale being a mutually interleaved result of some pair of scales may be trivial, a given pair of scales being mutually interleavable is less so: for example, '''MMMM''' and '''Lsss''' are not mutually interleavable when '''s''' is too small.
 A ''contrainterleaved'' scale is a mutually interleaved pair of the two chiralities of a [[chiral scale]].
 [[Category:Scale]]
 [[Category:Terms]]