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Appendix C: Alternative Tunings
Sequential
Prophet Rev2 User’s Guide
Appendix C: Alternative Tunings
11. 3-7 Lattice in A
A pure 3 and 7-limit tuning which resolves to very symmetrical derived
relationships between notes. Some of the intervals are very close
together, offering several choices for the same nominal chords. A=1/1
(440 Hz)
1/1 9/8 8/7 7/6 9/7 21/16 4/3 3/2 32/21 12/7 7/4 63/32
12. Other Music 7-Limit Black Keys in C
Created by the group Other Music for their homemade gamelan, this
offers a wide range of interesting chords and modes. C=1/1 (261.625 Hz)
1/1 15/14 9/8 7/6 5/4 4/3 7/5 3/2 14/9 5/3 7/4 15/8
13. Dan Schmidt Pelog/Slendro
Created for the Berkeley Gamelan group, this tuning fits an Indonesian-
style heptatonic Pelog on the white keys and pentatonic Slendro on the
black keys, with B and Bb acting as 1/1 for their respective modes. Note
that some of the notes will have the same frequency. By tuning the 1/1 to
60 Hz, Dan found a creative way to incorporate the inevitable line hum
into his scale. Bb, B = 1/1 (60 Hz)
1/1 1/1 9/8 7/6 5/4 4/3 11/8 3/2 3/2 7/4 7/4 15/8
14. Yamaha Just Major C
When Yamaha decided to put preset microtunings into their FM synth
product line, they selected this and the following tuning as representative
just intonations. As such, they became the de-facto introduction to JI for
many people. Just Major gives preferential treatment to major thirds on
the sharps, and a good fourth relative to the second. C= 1/1 (261.625)
1/1 16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 16/9 15/8
15. Yamaha Just Minor C
Similar to Yamaha’s preset Just Major, the Just Minor gives preferential
treatment to minor thirds on the sharps, and has a good fifth relative to
the second. C= 1/1 (261.625) 1/1 25/24 10/9 6/5 5/4 4/3 45/32 3/2 8/5
5/3 16/9 15/8
16. 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
17. 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