Generator sequence: Difference between revisions

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:''Note: This page is maintained by Inthar. Terms indicated as idiosyncratic are his coinages, not Scott Dakota's.''

'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure first described by [[Scott Dakota]]. The notation AGS(''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, ... Currently, the study of AGSs is dominated by [[constant structure]] AGS scales, which are obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales. The term '''generator sequence'''{{idiosyncratic}} (GS) may be preferable, as ''alternating'' is usually used for sequences that repeat every two terms.

Revision as of 18:01, 19 December 2023 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,677 edits →Terminology: Marked terms coined by me as idiosyncratic ← Older edit		Revision as of 18:02, 19 December 2023 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,677 edits No edit summary Newer edit →
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			:''Note: This page is maintained by Inthar. Terms indicated as idiosyncratic are his coinages, not Scott Dakota's.''

	'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure first described by [[Scott Dakota]]. The notation AGS(''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>, ... Currently, the study of AGSs is dominated by [[constant structure]] AGS scales, which are obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales. The term '''generator sequence'''{{idiosyncratic}} (GS) may be preferable, as ''alternating'' is usually used for sequences that repeat every two terms.		'''{{PAGENAME}}''' ('''AGS''') is a scale-building procedure first described by [[Scott Dakota]]. The notation AGS(''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>, ... Currently, the study of AGSs is dominated by [[constant structure]] AGS scales, which are obtained by stopping the stacking procedure at scale sizes that yield constant-structure scales. The term '''generator sequence'''{{idiosyncratic}} (GS) may be preferable, as ''alternating'' is usually used for sequences that repeat every two terms.