Zastari
Joined 10 September 2023
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==== '''Zil Family (2.3.5.7)''' ==== | ==== '''Zil Family (2.3.5.7)''' ==== | ||
Zil is a 4x3x2 rectangle in the (3, 5, 7) space. It can be traversed along the prime axes in any order yielding 6 possible AGS recipes that generate it. | |||
AGS generators (all operations are downwards starting at 1/1): | |||
* Tas frame (7->3->5) : AGS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160) | |||
** [5]: 9/8 21/16 3/2 7/4 2/1 | |||
** [9]: 9/8 5/4 21/16 189/128 3/2 27/16 7/4 63/32 2/1 | |||
** [14]: 35/32 9/8 315/256 5/4 21/16 45/32 189/128 3/2 105/64 27/16 7/4 15/8 63/32 2/1 | |||
* Hexatonic septimal-pental frame (7->5->3): AGS(8/7, 7/5, 8/7, 7/5, 8/7, 175/96) | |||
** [6]: 35/32 5/4 175/128 25/16 7/4 2/1 (same as Hexatonic pental-septimal) | |||
** [12]: 525/512 35/32 75/64 5/4 21/16 175/128 3/2 25/16 105/64 7/4 15/8 2/1 | |||
* Hexatonic pental-septimal frame (5->7->3): | |||
** [6]: 35/32 5/4 175/128 25/16 7/4 2/1 (same as Hexatonic septimal-pental) | |||
** [9]: 35/32 75/64 5/4 175/128 3/2 25/16 7/4 15/8 2/1 | |||
* Duodene frame (5->3->7): AGS(8/5, 8/5, 25/24, 8/5, 8/5, 25/24, 8/5, 8/5, 25/24, 8/5, 8/5, 675/448) | |||
** [6]: 75/64 5/4 3/2 25/16 15/8 2/1 | |||
** [9]: 9/8 75/64 5/4 45/32 3/2 25/16 225/128 15/8 2/1 | |||
Unknown hexatonic: 35/32 5/4 175/128 25/16 7/4 2/1 | Unknown hexatonic: 35/32 5/4 175/128 25/16 7/4 2/1 | ||
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Unknown mode (2.3.7.25): 525/512 75/64 21/16 175/128 25/16 7/4 2/1 | Unknown mode (2.3.7.25): 525/512 75/64 21/16 175/128 25/16 7/4 2/1 | ||
Unknown mode (2.3.5.7): 35/32 5/4 21/16 3/2 105/64 7/4 2/1 | Unknown mode (2.3.5.7): 35/32 5/4 21/16 3/2 105/64 7/4 2/1 | ||