Generator-offset property: Difference between revisions

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A scale satisfies the '''alternating generator property''', or the '''AG''' property for short, if it satisfies the following equivalent properties:
A scale satisfies the '''alternating generator property''', or the '''AG''' property for short, if it satisfies the following equivalent properties:
* the scale can be built by stacking alternating generators, for example 7/6 and 8/7.
* the scale can be built by stacking alternating generators, for example 7/6 and 8/7.
* the scale is generated by two chains of generators separated by a fixed interval; either both chains are of size ''m'', or one chain has size ''m'' and the second has size ''m'' - 1.
* the scale is generated by two chains of generators separated by a fixed interval, and the lengths of the chains differ by at most one.


[[Diasem]] is an example of an AG scale.
[[Diasem]] is an example of an AG scale.