62 Appendix A: Alternative Tunings
Dave Smith Instruments
15. Harry Partch 11-limit 43 Note Just Intonation
One of the pioneers of modern microtonal composition, Partch built
a unique orchestra with this tuning during the first half of the 20th
century, to perform his own compositions. The large number of intervals
in this very dense scale offers a full vocabulary of expressive chords
and complex key changes. The narrow spacing also allows fixed-
pitched instruments like marimbas and organs to perform glissando-like
passages. G = 1/1 (392 Hz, MIDI note 67)
1/1 81/80 33/32 21/20 16/15 12/11 11/10 10/9 9/8 8/7 7/6 32/27 6/5 11/9
5/4 14/11 9/7 21/16 4/3 27/20 11/8 7/5 10/7 16/11 40/27 3/2 32/21 14/9
11/7 8/5 18/11 5/3 27/16 12/7 7/4 16/9 9/5 20/11 11/6 15/8 40/21 64/33
160/81
16. Arabic 12-Tone
A 12-tone approximation of an Arabic scale, which appears in some elec-
tronic keyboards designed for use with Arabic music. Not a JI scale, nor
equal tempered. These are the intervals in Cents relative to C:
60 = Cents 0.
61 = Cents +151.
62 = Cents +204.
63 = Cents +294.
64 = Cents +355.
65 = Cents +498.
66 = Cents +649.
67 = Cents +702.
68 = Cents +853.
69 = Cents +906.
70 = Cents +996.
71 = Cents +1057.
72 = Cents +1200