Some 22 and 24 note hobbits

Looking around for my next composition project (and much thanks is owed for that to UnTwelve for rebooting me with the UnTwelve Contest boot) I've been considering the 22 and 24 note 11-limit hobbit scales for two rank three temperaments. One, zeus, tempers out 121/120 and 176/175; the other, which I'm calling julius, tempers out 176/175 also, but then 896/891 instead.

Julius is a member in good standing of the diaschismic family of rank three temperaments, tempering out the diaschisma, 2048/2025. It could be just the thing for people who like their overtone series to tend sharp; it's distinctly on the sharp side but not so much as to raise complaints in most people about the tuning. Zeus on the other hand is like 99et, only more so, with a very slightly sharp 3, 5, and 7, but a flat 11. Either one could be used as a tuning for 24 notes via doubled octaves or two ranks of Halberstadt keyboards, but it might be noted that 22 gives proper scales in both cases while 24 does not.

! zeus22.scl
Zeus[22] hobbit (121/120&176/175) in POTE tuning
22
!
47.21796
109.87010
157.08806
230.88883
266.95816
314.17612
387.97689
424.04622
497.84699
545.06495
592.28291
654.93505
702.15301
775.95378
812.02311
885.82388
933.04184
969.11117
1042.91194
1090.12990
1152.78204
1200.00000
!
!! prezeus22.scl
! Zeus[22] transversal
! 22
!!
! 33/32
! 16/15
! 11/10
! 8/7
! 64/55
! 77/64
! 5/4
! 14/11
! 4/3
! 11/8
! 45/32
! 16/11
! 3/2
! 11/7
! 8/5
! 5/3
! 55/32
! 7/4
! 11/6
! 15/8
! 64/33
! 2/1

! zeus24.scl
Zeus[24] hobbit (121/120&176/175) in POTE tuning
24
!
47.21796
109.87010
157.08806
204.30602
230.88883
314.17612
340.75893
387.97689
471.26418
497.84699
545.06495
592.28291
654.93505
702.15301
728.73582
812.02311
859.24107
885.82388
969.11117
995.69398
1042.91194
1090.12990
1152.78204
1200.00000
!
!! prezeus24.scl
! Zeus[24] transversal
! 24
!!
! 33/32
! 16/15
! 11/10
! 9/8
! 8/7
! 77/64
! 11/9
! 5/4
! 21/16
! 4/3
! 11/8
! 45/32
! 16/11
! 3/2
! 32/21
! 8/5
! 18/11
! 5/3
! 7/4
! 16/9
! 11/6
! 15/8
! 64/33
! 2/1

! julius22.scl
Julius[22] hobbit (176/175&896/891) in POTE tuning
22
!
59.00334
104.60191
163.60524
209.20382
286.19428
313.80572
390.79618
436.39476
495.39809
540.99666
600.00000
659.00334
704.60191
763.60524
809.20382
886.19428
913.80572
990.79618
1036.39476
1095.39809
1140.99666
1200.00000
!
!! prejulius22.scl
! Julius[22] transversal
! 22
!!
! 28/27
! 16/15
! 11/10
! 9/8
! 32/27
! 6/5
! 5/4
! 9/7
! 4/3
! 15/11
! 45/32
! 22/15
! 3/2
! 14/9
! 8/5
! 5/3
! 27/16
! 16/9
! 20/11
! 15/8
! 27/14
! 2/1

! julius24.scl
Julius[24] hobbit (176/175&896/891) in POTE tuning
24
!
59.00334
104.60191
163.60524
209.20382
268.20715
313.80572
331.79285
390.79618
436.39476
495.39809
540.99666
600.00000
645.59857
704.60191
763.60524
809.20382
868.20715
913.80572
972.80906
990.79618
1036.39476
1095.39809
1140.99666
1200.00000
!
!! prejulius24.scl
! Julius[24] transversal
! 24
!!
! 28/27
! 16/15
! 11/10
! 9/8
! 7/6
! 6/5
! 40/33
! 5/4
! 9/7
! 4/3
! 15/11
! 45/32
! 16/11
! 3/2
! 14/9
! 8/5
! 33/20
! 27/16
! 7/4
! 16/9
! 20/11
! 15/8
! 27/14
! 2/1

Now I remember seeing these - I got behind in posting the Hobbit tunings.

Thanks for pointing these out, I'll give them a try.

Chris

http://micro.soonlabel.com/hobbit_scales/

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> Looking around for my next composition project (and much thanks is owed for that to UnTwelve for rebooting me with the UnTwelve Contest boot)