Baritone Bowed Psaltery Tuning

The baritone bowed psaltery has a range of C3 to C6, fully chromatic. I tried to strike a balance between incorporating as many of the 33 pitches in my scale as possible and replicating reinforcement pitches at various octaves. For example, because 1/1, 31/16, and 253/128 (11×23) would each be tuned to a C string, I decided to leave 253/128 out, since I very much want 1/1 and 31/16. Additionally, while I included 23/16 in one location, I decided not to include 3×23 or 13×23. Not only does this free up space for some octave duplication of pitches, but it also makes sense due to the extremely rich, pure (or nearly) overtones of this instrument. 3×23 and 13×23 both will be clearly projected by the 23rd partial itself. Plenty of color here, though I may add a second, smaller bowed psaltery to the ensemble.

Here is the tuning:

C31/1
C#333/32 (3×11)
D32233/2048 (7x11x29)
(nearly synonymous with 12/11)
D#319/16
E35/4
F321/16 (3×7)
F#311/8
G33/2
G#3203/128 (7×29)
A313/8
A#37/4
B329/16
C431/16
C#417/16
D4143/128 (11×13)
D#477/64 (7×11)
E45/4
F487/64 (3×29)
F#411/8
G4187/128 (11×17)
G#449/32 (7×7)
A4429/256 (3x11x13)
A#47/4
B4119/64 (7×17)
C51/1
C#517/16
D51131/1024 (3x13x29)
D#519/16
E539/32 (3×13)
F521/16 (3×7)
F#523/16
G53/2
G#599/64 (3x3x11)
A513/8
A#57/4
B529/16
C631/16

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