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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.
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):
AGS generators (all operations are downwards starting at 1/1 and generate zil[24] at the 24 note size):


* Tas frame (7->3->5) : AGS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160)
* Tas frame (7->3->5) : AGS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160)
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** [6]: 75/64 5/4 3/2 25/16 15/8 2/1
** [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
** [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
Chromatic Extension (3/2 offset): 525/512 35/32 75/64 5/4 21/16 175/128 3/2 25/16 105/64 7/4 15/8 2/1
* Offsetting this scale by 9/8 yields zil[24]
Contains tas[14] with 81/64 warped to 5/4 instead.
Diatonic-like Modes:
All Marveldene[12] modes.
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