Generator sequence: Difference between revisions

Line 1:

'''{{PAGENAME}}''' ('''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, ...

'''{{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, ...

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''.

== AGS scale series ==

* AGS(3/2, 14/9): 1, 2, 3, 5, 8, 13, and 18-note CS scales.

[[Category:Terms]]

[[Category:Scale]]

@@ Line 1: / Line 1: @@
-'''{{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>, ...
+'''{{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>, ...
 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''.
+== AGS scale series ==
+* AGS(3/2, 14/9): 1, 2, 3, 5, 8, 13, and 18-note CS scales.
 [[Category:Terms]]
 [[Category:Scale]]