Talk:Periodic scale: Difference between revisions

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 == The step form of a scale ==
 I'd like the page to mention the two ways of writing a periodic scale as a function:
-# The ''cumulative form'' (the formalization on the article), a monotone increasing function <math>S: \mathbb{Z}\to \mathbb{R}</math> such that ''S''(0) = 0 (unison) and ''S''(''k'' len(''S'')) = ''kE'' where ''E'' is the equave.
+# The ''cumulative form'' (the formalization in the article), a monotone increasing function <math>S: \mathbb{Z}\to \mathbb{R}</math> such that ''S''(0) = 0 (unison) and ''S''(''k'' len(''S'')) = ''kE'' where ''E'' is the equave.
 # The ''step form'', the sequence of steps in the scale, related to the above via Δ''S''(''k'') = ''S''(''k'' + 1) &minus; ''S''(''k''), which is nonnegative and periodic in the usual math sense.
 The latter form is implicitly used when regarding scales as scale words.