Generator sequence: Difference between revisions

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== JI scales from WFGS series ==

Only CS sizes at least 5 are listed. Todo: check for larger CS sizes.

* The Zarlino series, AGS(5/4, 6/5): 5, 7, 10, 17, 24, 41, 65

* The Zarlino series, AGS(5/4, 6/5) = AGS(4:5:6): 5, 7, 10, 17, 24, 41, 65

** Other scales with the same AGS structure of two thirds adding up to 3/2 share the same CS sizes, including undecimal Zarlino (AGS(11/9, 27/22)), and Neogothic Zarlino (AGS(14/11, 13/11) with [[364/363]] tempered), although the latter may break at higher sizes depending on how the intervals are tuned.

* The Tas/[[diasem]] series, AGS(7~~/6,~~ 8/7): 5, 9, 14, 19, 24, 29

* The Tas/[[diasem]] series, AGS(6:7:8): 5, 9, 14, 19, 24, 29

* AGS(3/2, 14/9): 5, 8, 13, 18

* 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, 24

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* The Dwyn series: AGS(25/24 21/20 22/21 23/22 24/23 21/20 22/21 23/22 24/23): 15, 16, 31, 46

* AGS(13/11, 16/13, 77/64, 13/11, 16/13, 33/28): 7, 11, 15, 19

* AGS(16~~/13, 5/4, 5/4,~~ 31~~/25,~~ 39~~/31~~): 7, 10, 13, 16, 19, 22, 41

* AGS(13:16:20:25:31:39): 7, 10, 13, 16, 19, 22, 41

* AGS(~~7/5, 19/14,~~ 80~~/57~~)

* AGS(30:42:57:80)

* AGS(19/14, 51/38, 23/17, 63/46, 19/14, 51/38, 23/17, 896/621)

* AGS(10~~/9,~~ 11~~/10,~~ 12~~/11~~)

* AGS(9:10:11:12)

* AGS(10/9, 11/10, 12/11, 10/9, 11/10, 12/11, 10/9, 11/10, 189/176)

* AGS(~~12/11, 13/12, 14/13,~~ 31~~/28,~~ 33~~/31~~)

* AGS(22:24:26:28:31:33)

== Ternary scales and WFGS ==

[[Category:Terms]]

[[Category:Scale]]

@@ Line 17: / Line 17: @@
 == JI scales from WFGS series ==
 Only CS sizes at least 5 are listed. Todo: check for larger CS sizes.
-* The Zarlino series, AGS(5/4, 6/5): 5, 7, 10, 17, 24, 41, 65
+* The Zarlino series, AGS(5/4, 6/5) = AGS(4:5:6): 5, 7, 10, 17, 24, 41, 65
 ** Other scales with the same AGS structure of two thirds adding up to 3/2 share the same CS sizes, including undecimal Zarlino (AGS(11/9, 27/22)), and Neogothic Zarlino (AGS(14/11, 13/11) with [[364/363]] tempered), although the latter may break at higher sizes depending on how the intervals are tuned.
-* The Tas/[[diasem]] series, AGS(7/6, 8/7): 5, 9, 14, 19, 24, 29
+* The Tas/[[diasem]] series, AGS(6:7:8): 5, 9, 14, 19, 24, 29
 * AGS(3/2, 14/9): 5, 8, 13, 18
 * 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, 24
@@ Line 27: / Line 27: @@
 * The Dwyn series: AGS(25/24 21/20 22/21 23/22 24/23 21/20 22/21 23/22 24/23): 15, 16, 31, 46
 * AGS(13/11, 16/13, 77/64, 13/11, 16/13, 33/28): 7, 11, 15, 19
-* AGS(16/13, 5/4, 5/4, 31/25, 39/31): 7, 10, 13, 16, 19, 22, 41
+* AGS(13:16:20:25:31:39): 7, 10, 13, 16, 19, 22, 41
-* AGS(7/5, 19/14, 80/57)
+* AGS(30:42:57:80)
 * AGS(19/14, 51/38, 23/17, 63/46, 19/14, 51/38, 23/17, 896/621)
-* AGS(10/9, 11/10, 12/11)
+* AGS(9:10:11:12)
 * AGS(10/9, 11/10, 12/11, 10/9, 11/10, 12/11, 10/9, 11/10, 189/176)
-* AGS(12/11, 13/12, 14/13, 31/28, 33/31)
+* AGS(22:24:26:28:31:33)
 == Ternary scales and WFGS ==
 [[Category:Terms]]
 [[Category:Scale]]