Generator sequence: Difference between revisions
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'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure developed by Scott Dakota. AGS( | '''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure developed by Scott Dakota. AGS(x<sub>1</sub>, ..., x<sub>r</sub>) denotes a scale-building procedure where a scale is built by stacking x1 first, x2 second, ..., . When xr is stacked, we go back to x<sub>1</sub> and start stacking x<sub>1</sub> again, then x<sub>2</sub>, ... | ||
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 == | |||
* When every generator in the AGS recipe 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''. | |||
[[Category:Terms]] | [[Category:Terms]] | ||
[[Category:Scale]] | [[Category:Scale]] | ||
Revision as of 18:12, 13 July 2023
Generator sequence (AGS) is a scale-building procedure developed by Scott Dakota. AGS(x1, ..., xr) denotes a scale-building procedure where a scale is built by stacking x1 first, x2 second, ..., . 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 in the AGS recipe 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.