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 equivalent properties:
A scale satisfies the '''generator-offset property''' (also '''GO''', '''alternating generator''' or '''AG''') if it satisfies the following equivalent properties:
* the scale is generated by two chains of stacked ''generators'' separated by an ''offset'', and the lengths of the chains differ by at most one.
* 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.
* 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 can be built by stacking two alternating generators (called ''alternants''), which do not necessarily take up the same number of steps