80 Appendix F: Alternative Tunings
Sequential
13. Dan Schmidt Pelog/Slendro
Created for the Berkeley Gamelan group, this tuning ts 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 fth 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 rst 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 xed-
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
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