Generator-offset property: Difference between revisions

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# The generator always occurs as the same number of steps. For example, the generator is never both a 2-step and a 3-step.
# The generator always occurs as the same number of steps. For example, the generator is never both a 2-step and a 3-step.


[[File:MV3-Labeled.png|thumb|240px|Plot of at-most-decatonic MV3 GO scale regions in the plane.]]
[[File:MV3-Labeled.png|thumb|240px|Plot of at-most-decatonic MV3 generator-offset scale regions in the plane.]]


The [[Zarlino]] (3L 2M 2S) JI scale is an example of a GO scale, because it is built by stacking alternating 5/4 and 6/5 generators. The 7-limit version of [[diasem]] (5L 2M 2S) is another example, with generators 7/6 and 8/7.
The [[Zarlino]] (3L 2M 2S) JI scale is an example of a generator-offset scale, because it is built by stacking alternating 5/4 and 6/5 generators. The 7-limit version of [[diasem]] (5L 2M 2S) is another example, with generators 7/6 and 8/7.


For a generalization, see [[alternating generator sequence]].
For a generalization, see [[alternating generator sequence]].