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 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. | ||
The [[Zarlino]] (3L 2M 2S) JI scale is an example of an AG scale, because it is built by stacking alternating 5/4 and 6/5 generators. 7-limit [[diasem]] (5L 2M 2S) is another example, with generators 7/6 and 8/7. | The [[Zarlino]] (3L 2M 2S) JI scale is an example of an AG scale, because it is built by stacking alternating 5/4 and 6/5 generators. 7-limit [[diasem]] (5L 2M 2S) is another example, with generators 7/6 and 8/7. | ||