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| This doesn't imply that g<sub>1</sub> and g<sub>2</sub> are the same number of scale steps. For example, 5-limit [[blackdye]] has g<sub>1</sub> = 9/5 (a 9-step) and g<sub>2</sub> = 5/3 (a 7-step). | | This doesn't imply that g<sub>1</sub> and g<sub>2</sub> are the same number of scale steps. For example, 5-limit [[blackdye]] has g<sub>1</sub> = 9/5 (a 9-step) and g<sub>2</sub> = 5/3 (a 7-step). |
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| == Conventions used on this page ==
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| * Non-italicized Latin variables refer to interval sizes, for example step sizes.
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| * Indices for all words are 1-indexed.
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| ** If ''S'' is a circular word and ''i'' < 1 or ''i'' > len(''S''), we first replace ''i'' with ''i'' % len(''S'') + 1 before using it as an argument in ''S''[-].
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| * The notation ''S''(X<sub>1</sub>, ..., X<sub>''r''</sub>) is used for an ''r''-ary scale word with variables X<sub>1</sub>, ..., X<sub>''r''</sub> possibly standing in for any sizes. If ''S''(X, Y) = XXY then ''S''(A, B) = AAB.
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| * We leave the distinction between linear and cyclic words up to context. We usually also elide the distinction between subwords and the interval sizes that subtend them.
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| == Other definitions == | | == Other definitions == |