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| If a scale has a [[generator sequence]], then the '''generator variety''' is the number of generators in that sequence, not including the closing generator.
| | #redirect [[Generator sequence#Generator variety]] |
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| == Relationship between step variety and generator variety ==
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| MOS scales have step variety 2 and generator variety 1, and MOS substitution scales have step variety 3 and generator variety 2. However, not all scales with generator variety ''n'' have step variety at most ''n'' + 1: Consider a 13-note scale with a well-formed generator sequence GS('''x''', '''y''', '''y''', '''x''', '''y''') and suppose one scale step is reached via 4 generators: Then the word of stacked generators is '''xyyxyxyyxyxyz''' including the final closing generator '''z''', and there are 4 step sizes:
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| # 2'''x''' + 2'''y''',
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| # '''x''' + 3'''y''',
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| # 2'''x''' + '''y''' + '''z''',
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| # '''x''' + 2'''y''' + '''z'''.
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| More trivially, a MOS generator when not stacked so that the resulting scale is a MOS size (denominator of semiconvergent to the generator) will not have variety 2.
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