Epimorphic scale: Difference between revisions

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== Facts ==
== Facts ==
=== Definition: constant structure (CS) ===
=== Definition: constant structure (CS) ===
Given a periodic scale ''S'', let <math>C_k</math> be the set of ''k''-steps of ''S''. Then ''S'' is ''constant structure'' (CS) if for any <math>i, j \in \mathbb{Z}</math> we have <math>C_i \cap C_j = \varnothing.</math>
Given a periodic scale ''S'', let <math>C_k</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 ===