Interleaving: Difference between revisions

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== Generalizations ==
== Generalizations ==
=== Mutual floughtenability (?) ===
=== Co-floughtenability (?) ===
Periodic scales <math>S, T : \mathbb{Z} \to \mathbb{R}</math> of the same length and equave are ''mutually floughtenable'' 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-floughtened result of some pair of scales may be trivial, a given pair of scales being mutually floughtenable is less so: for example, '''MMMM''' and '''Lsss''' are not mutually floughtenable when '''s''' is too small.
Periodic scales <math>S, T : \mathbb{Z} \to \mathbb{R}</math> of the same length and equave are ''co-floughtenable'' 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 co-floughtened result of some pair of scales may be trivial, a given pair of scales being mutually floughtenable is less so: for example, '''MMMM''' and '''Lsss''' are not co-floughtenable when '''s''' is too small.


A ''contraflought'' scale is a mutually floughtened pair of the two chiralities of a [[chiral scale]].
A ''contraflought'' scale is a co-floughtened pair of the two chiralities of a [[chiral scale]].
[[Category:Scale]]
[[Category:Scale]]
[[Category:Terms]]
[[Category:Terms]]