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70 Appendix A: Alternative Tunings
Sequential
20. Terry Riley’s Harp of New Albion scale, Inverse Malcolm’s
Monochord
Original 1/1 on C#, here it is set to C.
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +111.731285 Ratio: 16/15 (JUST)
62 = Cents +203.910002 Ratio: 9/8 (JUST)
63 = Cents +315.641287 Ratio: 6/5 (JUST)
64 = Cents +386.313714 Ratio: 5/4 (JUST)
65 = Cents +498.044999 Ratio: 4/3 (JUST)
66 = Cents +609.776284 Ratio: 64/45 (JUST)
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +813.686286 Ratio: 8/5 (JUST)
69 = Cents +884.358713 Ratio: 5/3 (JUST)
70 = Cents +996.089998 Ratio: 16/9 (JUST)
71 = Cents +1088.268715 Ratio: 15/8 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)
21. Lute tuning of Giovanni Maria Artusi (1603). 1/4-comma w.
Acc. 1/2-way Naturals
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +96.578 Ratio: 8607/8140
62 = Cents +193.157 Ratio: 2889/2584
63 = Cents +289.735 Ratio: 11687/9886
64 = Cents +386.313714 Ratio: 5/4 (JUST)
65 = Cents +503.422 Ratio: 5267/3938
66 = Cents +600. Ratio: 11482/8119
67 = Cents +696.578 Ratio: 7876/5267
68 = Cents +793.157 Ratio: 14771/9342
69 = Cents +889.735 Ratio: 11718/7009
70 = Cents +986.314 Ratio: 17561/9934
71 = Cents +1082.892 Ratio: 18204/9739
72 = Cents +1200. Ratio: 2/1 (JUST)