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 alt-gen scale, because it is built by stacking alternating 7/6 and 8/7 for [[chirality| | [[Diasem]] is an example of an alt-gen scale, because it is built by stacking alternating 7/6 and 8/7 for [[chirality|right-handed]] diasem, or 8/7 and 7/6 for left-handed diasem. | ||
More formally, a cyclic word ''S'' (representing a [[periodic scale]]) of size ''n'' is '''alt-gen''' if it satisfies the following equivalent properties: | More formally, a cyclic word ''S'' (representing a [[periodic scale]]) of size ''n'' is '''alt-gen''' if it satisfies the following equivalent properties: | ||