Generator sequence: Difference between revisions
→AGS scale series: per Inthar's request, added some more series. |
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== AGS scale series == | == AGS scale series == | ||
Only CS sizes at least 5 are listed. | Only CS sizes at least 5 are listed. | ||
* The Zarlino series, AGS(5/4, 6/5): 5, 7, 10, 17, 24, 41 | * The Zarlino series, AGS(5/4, 6/5): 5, 7, 10, 17, 24, 41 and 65-forms. | ||
** 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, and 29-forms | * The Tas/[[diasem]] series, AGS(7/6, 8/7): 5, 9, 14, 19, 24, and 29-forms | ||
* AGS(3/2, 14/9): 5, 8, 13, and 18-forms. | * 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. | * 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. | ||
* The Porcusmine series, AGS(9/5, 50/27): 5, 6, 7, 8, 15, 23, 38, 61, and 99-forms. | |||
* An unnamed 5-limit Mavila detemper, AGS(3/2, 3/2, 64/45): 5, 7, 9, 16, and 25-forms. | |||
== Conjectures about AGS scales == | == Conjectures about AGS scales == | ||