Epimorphic scale: Difference between revisions
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== Facts == | == Facts == | ||
=== Definition: constant structure (CS) === | === Definition: constant structure (CS) === | ||
Given a periodic scale | Given a [[periodic scale]] <math>S : \mathbb{Z} \to (0,\infty)</math> (with codomain written in the linear frequency domain), let <math>C_k = \{ S[i+k]/S[i] : i \in \mathbb{Z}\}</math> be the set of ''k''-steps of ''S''. Then ''S'' is [[constant structure]] (CS) if for any <math>i, j \in \mathbb{Z}, i \neq j,</math> we have <math>C_i \cap C_j = \varnothing.</math> | ||
=== Epimorphic scales are CS === | === Epimorphic scales are CS === | ||