Periodic scale: Difference between revisions
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<math>\Delta s[i] = s[i+1] - s[i],</math> | <math>\Delta s[i] = s[i+1] - s[i],</math> | ||
where <math>\Delta s[i]</math> is the ''ith step'' of the scale. <math>\Delta s</math> has the property <math>\Delta s [i + P] = \Delta s[i] \ \forall i \in \mathbb{Z}.</math> | |||
The step form <math>\Delta s</math> and the ''cumulative form'' <math>s</math> of a periodic scale are related by the fundamental theorem of finite-difference calculus: | The step form <math>\Delta s</math> and the ''cumulative form'' <math>s</math> of a periodic scale are related by the fundamental theorem of finite-difference calculus: | ||