Generator-offset property: Difference between revisions

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-A scale satisfies the '''generator-offset property''' (also '''GO''', '''alternating generator''' or '''AG''') if it satisfies the following two properties:
+A scale satisfies the '''generator-offset property''' (also '''GO''', '''alternating generator''' or '''AG''') if it satisfies the following properties:
-# The scale is generated by two chains of stacked copies of a ''generator'', the two chains are separated by an ''offset'', and the lengths of the chains differ by at most one. Equivalently, the scale can be built by stacking two alternating generators (called ''alternants''), which do not necessarily take up the same number of steps.
+# The scale is generated by two chains of stacked copies of a ''generator''.
+# The two chains are separated by an ''offset'' (the difference between the first note of the second chain minus the first note of the first chain).
+# 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.