Generator sequence: Difference between revisions

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'''{{PAGENAME}}''' ('''GS''') is a scale-building procedure first described by [[Scott Dakota]]. The notation GS(''x''1, ..., ''x''r) denotes a scale-building procedure where a ([[Periodic scale|periodic]]) scale is built by stacking ''x''1 first, ''x''2 second, ..., reducing by the scale's [[equave]] when necessary. When ''x''r is stacked, we go back to ''x''1 and start stacking ''x''1 again, then ''x''2, ... This article adopts a convention where an enumerated chord can be used instead for part of whole of the argument, where the chord's steps are generators, for example writing [[Zarlino]] as GS(4:5:6)[7], which is syntactic sugar for GS(5/4, 6/5)[7].

Currently, the study of GSs is dominated by certain [[constant structure]] GS scales, called ''guided generator sequence'' scales, which are obtained by using detemperings of MOS generators ~~andstopping~~ the stacking procedure at the correspondibg MOS scale sizes, which yields constant scales scales.

Currently, the study of GSs is dominated by certain [[constant structure]] GS scales, called ''guided generator sequence'' scales, which are obtained by using detemperings of MOS generators and stopping the stacking procedure at the correspondibg MOS scale sizes, which yields constant scales scales.

Certain [[generator-offset property|generator-offset]] scales are examples. For example, [[diasem]] is GS(8/7, 7/6) or GS(7/6, 8/7) depending on [[chirality]]. The trivial case GS(''x'') is stacking a single generator ''x'' to make a rank-2 scale, such as a [[MOS scale]].

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 '''{{PAGENAME}}''' ('''GS''') is a scale-building procedure first described by [[Scott Dakota]]. The notation GS(''x''<sub>1</sub>, ..., ''x''<sub>r</sub>) denotes a scale-building procedure where a ([[Periodic scale|periodic]]) scale is built by stacking ''x''<sub>1</sub> first, ''x''<sub>2</sub> second, ..., reducing by the scale's [[equave]] when necessary. When ''x''<sub>r</sub> is stacked, we go back to ''x''<sub>1</sub> and start stacking ''x''<sub>1</sub> again, then ''x''<sub>2</sub>, ... This article adopts a convention where an enumerated chord can be used instead for part of whole of the argument, where the chord's steps are generators, for example writing [[Zarlino]] as GS(4:5:6)[7], which is syntactic sugar for GS(5/4, 6/5)[7].
-Currently, the study of GSs is dominated by certain [[constant structure]] GS scales, called ''guided generator sequence'' scales, which are obtained by using detemperings of MOS generators andstopping the stacking procedure at the correspondibg MOS scale sizes, which yields constant scales scales.
+Currently, the study of GSs is dominated by certain [[constant structure]] GS scales, called ''guided generator sequence'' scales, which are obtained by using detemperings of MOS generators and stopping the stacking procedure at the correspondibg MOS scale sizes, which yields constant scales scales.
 Certain [[generator-offset property|generator-offset]] scales are examples. For example, [[diasem]] is GS(8/7, 7/6) or GS(7/6, 8/7) depending on [[chirality]]. The trivial case GS(''x'') is stacking a single generator ''x'' to make a rank-2 scale, such as a [[MOS scale]].