Epimorphic scale: Difference between revisions
Line 6: | Line 6: | ||
== 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 === |