Generator-offset property: Difference between revisions
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# The lengths of the chains differ by at most one. (1-3 can be restated as: The scale can be built by stacking two alternating generators (called ''alternants''), which do not necessarily take up the same number of steps.) | # The lengths of the chains differ by at most one. (1-3 can be restated as: The scale can be built by stacking two alternating generators (called ''alternants''), which do not necessarily take up the same number of steps.) | ||
# 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.]] | |||
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. 7-limit [[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 GO scale, because it is built by stacking alternating 5/4 and 6/5 generators. 7-limit [[diasem]] (5L 2M 2S) is another example, with generators 7/6 and 8/7. | ||