94 Appendix A: Alternative Tunings
Sequential
63. LaMonte Young, Tuning of For Guitar ‘58. 1/1 March ‘92,
inv.of Mersenne lute 1
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +111.731285 Ratio: 16/15 (JUST)
62 = Cents +182.403712 Ratio: 10/9 (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 +590.223716 Ratio: 45/32 (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 +1017.596288 Ratio: 9/5 (JUST)
71 = Cents +1088.268715 Ratio: 15/8 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)
64. LaMonte Young’s Well-Tuned Piano
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +176.64591 Ratio: 567/512
62 = Cents +203.910002 Ratio: 9/8 (JUST)
63 = Cents +239.606814 Ratio: 147/128
64 = Cents +470.780907 Ratio: 21/16 (JUST)
65 = Cents +443.516816 Ratio: 1323/1024
66 = Cents +674.690909 Ratio: 189/128
67 = Cents +701.955001 Ratio: 3/2 (JUST)
68 = Cents +737.651813 Ratio: 49/32 (JUST)
69 = Cents +968.825906 Ratio: 7/4 (JUST)
70 = Cents +941.561815 Ratio: 441/256
71 = Cents +1172.735908 Ratio: 63/32 (JUST)
72 = Cents +1200. Ratio: 2/1 (JUST)