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OB-X8 User’s Guide
Appendix E: Alternative Tunings
29. John Chalmers JI-1, Based loosely on Wronski’s and simi-
lar JI scales, May 2, 1997.
(Chalmer’s book “Divisions of the Tetrachord” is a late 20th century
masterwork, exploring the mathematical underpinnings of just tunings.)
6 0 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +104.95541 Ratio: 17/16 (JUST)
62 = Cents +203.910002 Ratio: 9/8 (JUST)
63 = Cents +297.513016 Ratio: 19/16 (JUST)
64 = Cents +386.313714 Ratio: 5/4 (JUST)
65 = Cents +498.044999 Ratio: 4/3 (JUST)
66 = Cents +603.000409 Ratio: 17/12 (JUST)
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +795.558015 Ratio: 19/12 (JUST)
69 = Cents +884.358713 Ratio: 5/3 (JUST)
70 = Cents +999.468017 Ratio: 57/32 (JUST)
71 = Cents +1088.268715 Ratio: 15/8 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)
30. John Chalmers JI-3, 15 16 17 18 19 20 21 on 1/1, 15-20 on
3/2, May 2, 1997.
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +111.731285 Ratio: 16/15 (JUST)
62 = Cents +216.686695 Ratio: 17/15 (JUST)
63 = Cents +315.641287 Ratio: 6/5 (JUST)
64 = Cents +409.244301 Ratio: 19/15 (JUST)
65 = Cents +498.044999 Ratio: 4/3 (JUST)
66 = Cents +582.512193 Ratio: 7/5 (JUST)
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +813.686286 Ratio: 8/5 (JUST)
69 = Cents +918.641696 Ratio: 17/10 (JUST)
70 = Cents +1017.596288 Ratio: 9/5 (JUST)
71 = Cents +1111.199302 Ratio: 19/10 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)
Summary of Contents for OB-X8
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