Interleaving: Difference between revisions
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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. | 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 '' | A ''contrainterleaving'' is a mutually interleaved pair of the two chiralities of a [[chiral scale]]. | ||
[[Category:Scale]] | [[Category:Scale]] | ||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Pages with open problems]] | [[Category:Pages with open problems]] | ||