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]] | ||