User:Inthar/Generator variety: Difference between revisions

Latest revision as of 03:36, 23 May 2024

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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]]
-== Relationship between step variety and generator variety ==
-* MOS scales have step variety 2 and generator variety 1
-* MOS substitution scales have step variety 3 and generator variety 2
-* However, not all scales with generator variety '''x''' have step variety '''x''' + 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: '''xyyxyxyyxyxyz'''. Then there are 4 step sizes: 2'''x''' + 2'''y''', '''x''' + 3'''y''', 2'''x''' + '''y'' + '''z''', and '''x''' + 2'''y'' + '''z'''.