User:Inthar/Style guide: Difference between revisions
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This page documents my xen math notation and its differences from conventional xen notation or conventional math notation. | This page documents my xen math notation and its differences from conventional xen notation or conventional math notation. | ||
== Variables == | == Variables == | ||
* Capital italicized Latin letters may denote scales written cumulatively: i.e. with ''S''(0) = '''0''' and ''S''(''i'' + ''p'') = '''E''' + ''S''(''i'') (''p'' = length, '''E''' = equave) for every ''i''. | <!--* Capital italicized Latin letters may denote scales written cumulatively: i.e. with ''S''(0) = '''0''' and ''S''(''i'' + ''p'') = '''E''' + ''S''(''i'') (''p'' = length, '''E''' = equave) for every ''i''. | ||
** ''S''(''n'') = 100''n'' cents | ** ''S''(''n'') = 100''n'' cents | ||
* Lowercase italicized Latin letters may denote (rotational equivalence classes of) scales written as steps, or abstract scale [[word]]s. For example: | * Lowercase italicized Latin letters may denote (rotational equivalence classes of) scales written as steps, or abstract scale [[word]]s. For example: | ||
** ''s''('''a''', '''b''', '''c''') = '''abacaba''' | ** ''s''('''a''', '''b''', '''c''') = '''abacaba''' | ||
** <math>\sum_{n=a}^{b-1}s(n) = S(b)-S(a) \ \text{if} \ s(n) := S(n+1)-S(n)</math> | ** <math>\sum_{n=a}^{b-1}s(n) = S(b)-S(a) \ \text{if} \ s(n) := S(n+1)-S(n)</math>--> | ||
* Bolded variables denote interval sizes (especially letters of scale words) and elements of lattices. '''0''' is the unison. | * Bolded variables denote interval sizes (especially letters of scale words) and elements of lattices. '''0''' is the unison. | ||
** 5'''L''' 2'''s''' | ** 5'''L''' 2'''s''' |