Periodic scale: Difference between revisions

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 A monotone scale in which every class but classes ''nP'' have exactly two elements is a MOS with period P (as opposed to a fraction of P; that is, a strict MOS), and thus has Myhill's property. If every such class has exactly three elements, it has the '''trivalence property'''.
-=== Distributional evenness ===
+=== Variety ===
-{{Main| Distributional evenness }}
+{{Main|Strict variety}}
-A monotone scale in which every class comes in exactly ''n'' elements is ''n''-distributionally even, or ''n''-DE. If ''n'' = 2, then we can simply say that it is distributionally even and is thus a MOS (of a more general form). Some authors prefer a stricter definition of MOS identifying it with Myhill's property.
+A monotone scale in which every class comes in *at most* ''n'' elements is maximum variety ''n'', or MV''n''. If ''n'' = 2, then it is a MOS.
+A monotone scale in which every class comes in *exactly* ''n'' elements is ''strict variety n'', or SV''n''. If ''n'' = 2, then it is a 1-period MOS or equivalently a scale with Myhill's property.
 === Convexity ===