Generator-offset property: Difference between revisions

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A scale satisfies the '''generator-offset property''' (also '''alternating generator''' or '''AG''') if it satisfies the following equivalent properties:
A ([[periodic scale|periodic]]) scale satisfies the '''generator-offset property''' (also '''alternating generator''' or '''AG''') if it satisfies the following equivalent properties:
* 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
* the scale is generated by two chains of ''generators'' separated by an 'offset'', and the lengths of the chains differ by at most one.
* the scale is generated by two chains of ''generators'' separated by an 'offset'', and the lengths of the chains differ by at most one.