Generator-offset property: Difference between revisions

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* 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.
* 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, because it is built by stacking alternating 7/6 and 8/7 (or 8/7 and 7/6 for the other [[chirality]]).
[[Diasem]] is an example of an AG scale, because it is built by stacking alternating 7/6 and 8/7 for [[chirality|left-handed]] diasem, or 8/7 and 7/6 for right-handed diasem.


More formally, a cyclic word ''S'' (representing a [[periodic scale]]) of size ''n'' is '''AG''' if it satisfies the following equivalent properties:
More formally, a cyclic word ''S'' (representing a [[periodic scale]]) of size ''n'' is '''AG''' if it satisfies the following equivalent properties: