Generator sequence: Difference between revisions
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Certain [[generator-offset property|generator-offset]] scales are examples. For example, [[diasem]] is AGS(8/7, 7/6) or AGS(7/6, 8/7) depending on [[chirality]]. The trivial case AGS(x1) is stacking a single generator x1 to make a rank-2 scale, such as a [[MOS scale]]. | Certain [[generator-offset property|generator-offset]] scales are examples. For example, [[diasem]] is AGS(8/7, 7/6) or AGS(7/6, 8/7) depending on [[chirality]]. The trivial case AGS(x1) is stacking a single generator x1 to make a rank-2 scale, such as a [[MOS scale]]. | ||
== Other definitions == | == Other definitions == | ||
* When every generator x<sub>i</sub> in the AGS recipe AGS(x<sub>1</sub>, ..., x<sub>r</sub>) subtends the same number of steps, we call the resulting scale ''well-formed AGS''. In such a situation, we call the (logarithmic) average of the generators the ''guide generator''. | * When every generator x<sub>i</sub> in the AGS recipe AGS(x<sub>1</sub>, ..., x<sub>r</sub>), and the leftover interval after stacking all of these (analogous to the imperfect generator in [[mos]]ses), subtends the same number of steps, we call the resulting scale ''well-formed AGS''. In such a situation, we call the (logarithmic) average of the generators the ''guide generator''. | ||
== AGS scale series == | == AGS scale series == | ||
* AGS(3/2, 14/9): 1, 2, 3, 5, 8, 13, and 18-note CS scales. | * AGS(3/2, 14/9): 1, 2, 3, 5, 8, 13, and 18-note CS scales. | ||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Scale]] | [[Category:Scale]] | ||
Revision as of 18:18, 13 July 2023
Generator sequence (AGS) is a scale-building procedure developed by Scott Dakota. AGS(x1, ..., xr) denotes a scale-building procedure where an equave-equivalent scale is built by stacking x1 first, x2 second, ..., reducing by the equave when necessary. When xr is stacked, we go back to x1 and start stacking x1 again, then x2, ...
Certain generator-offset scales are examples. For example, diasem is AGS(8/7, 7/6) or AGS(7/6, 8/7) depending on chirality. The trivial case AGS(x1) is stacking a single generator x1 to make a rank-2 scale, such as a MOS scale.
Other definitions
- When every generator xi in the AGS recipe AGS(x1, ..., xr), and the leftover interval after stacking all of these (analogous to the imperfect generator in mosses), subtends the same number of steps, we call the resulting scale well-formed AGS. In such a situation, we call the (logarithmic) average of the generators the guide generator.
AGS scale series
- AGS(3/2, 14/9): 1, 2, 3, 5, 8, 13, and 18-note CS scales.