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Didymus[19] hobbit, sync beating

🔗genewardsmith <genewardsmith@...>

1/4/2011 12:49:39 AM

To provide more examples, here is the Didymus[19] hobbit in a synch beating tuning. Didymus is the 81/80 7-limit planar temperament, and despite the Meantone[11] inside this scale, it isn't exactly meantone. It isn't exactly well-supplied with synch beating otonal tetrads either, having two synch beating ones plus a spare. But what the hell.

! didymus19sync.scl
Didymus[19] hobbit (81/80) in synchronized tuning
! 3-2x, 5-x, 7-2x, where x is the smaller root of 16x^4 - 96x^3 + 216x^2 - 200x + 1
19
!
41.37646
119.28478
192.28609
233.66254
311.57087
384.57217
462.48050
503.85696
545.23341
654.76659
696.14304
737.51950
815.42783
888.42913
966.33746
1007.71391
1080.71522
1158.62354
1200.00000
!
!! predidymus19.scl
! Didymus[19] {2, 3, 7} transversal
! 19
!!
! 64/63
! 256/243
! 9/8
! 8/7
! 32/27
! 81/64
! 21/16
! 4/3
! 256/189
! 189/128
! 3/2
! 32/21
! 128/81
! 27/16
! 7/4
! 16/9
! 243/128
! 63/32
! 2/1