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.

== Variables ==

* Capital italicized Latin letters may denote scales written cumulatively: i.e. with ''S''(0) = 0 ~~cents~~ 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

* 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'''

** <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.

* Bolded variables denote interval sizes (especially letters of scale words) and elements of lattices. '''0''' is the unison.

** 5'''L''' 2'''s'''

* Sans serif function names are scale constructions, or more generally functions named more verbosely than is typical for conventional math notation.

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 This page documents my xen math notation and its differences from conventional xen notation or conventional math notation.
 == Variables ==
-* Capital italicized Latin letters may denote scales written cumulatively: i.e. with ''S''(0) = 0 cents 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
 * 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'''
 ** <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.
+* Bolded variables denote interval sizes (especially letters of scale words) and elements of lattices. '''0''' is the unison.
 ** 5'''L''' 2'''s'''
 * Sans serif function names are scale constructions, or more generally functions named more verbosely than is typical for conventional math notation.