Generator sequence: Difference between revisions

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'''{{PAGENAME}}''' ('''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, ... Currently, the study of AGSs is dominated by scales obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales.

'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure first described 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, ... Currently, the study of AGSs is dominated by scales obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales.

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]].

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* The Ston series (from trienstonic temperament which tempers out 28/27), AGS(3/2, 14/9): 5, 8, 13, and 18-forms.

* The Zil series, AGS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160, 8/7, 7/6): 5, 9, 14, 19, and 24-forms.

== Conjectures about AGS scales ==

[[Category:Terms]]

[[Category:Scale]]

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-'''{{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 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 x<sub>1</sub> and start stacking x<sub>1</sub> again, then x<sub>2</sub>, ... Currently, the study of AGSs is dominated by scales obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales.
+'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure first described by [[Scott Dakota]]. AGS(x<sub>1</sub>, ..., x<sub>r</sub>) 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 x<sub>1</sub> and start stacking x<sub>1</sub> again, then x<sub>2</sub>, ... Currently, the study of AGSs is dominated by scales obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales.
 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]].
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 * The Ston series (from trienstonic temperament which tempers out 28/27), AGS(3/2, 14/9): 5, 8, 13, and 18-forms.
 * The Zil series, AGS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160, 8/7, 7/6): 5, 9, 14, 19, and 24-forms.
+== Conjectures about AGS scales ==
 [[Category:Terms]]
 [[Category:Scale]]

Generator sequence: Difference between revisions

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