
104 Appendix E: Alternative Tunings
Oberheim
50. Helmholtz’s two-keyboard Harmonium Tuning Untempered,
24 notes per octave
60 = Cents 0. Ratio: 1/1 (JUST)
61 = Cents +92.178716 Ratio: 135/128
62 = Cents +111.731285 Ratio: 16/15 (JUST)
63 = Cents +182.403712 Ratio: 10/9 (JUST)
64 = Cents +203.910002 Ratio: 9/8 (JUST)
65 = Cents +274.582429 Ratio: 75/64 (JUST)
66 = Cents +294.134997 Ratio: 32/27 (JUST)
67 = Cents +386.313714 Ratio: 5/4 (JUST)
68 = Cents +405.866283 Ratio: 512/405
69 = Cents +478.49243 Ratio: 675/512
70 = Cents +498.044999 Ratio: 4/3 (JUST)
71 = Cents +590.223716 Ratio: 45/32 (JUST)
72 = Cents +609.776284 Ratio: 64/45 (JUST)
73 = Cents +680.448711 Ratio: 40/27 (JUST)
74 = Cents +701.955001 Ratio: 3/2 (JUST)
75 = Cents +772.627428 Ratio: 25/16 (JUST)
76 = Cents +792.179997 Ratio: 128/81 (JUST)
77 = Cents +884.358713 Ratio: 5/3 (JUST)
78 = Cents +905.865003 Ratio: 27/16 (JUST)
79 = Cents +976.537429 Ratio: 225/128
80 = Cents +996.089998 Ratio: 16/9 (JUST)
81 = Cents +1088.268715 Ratio: 15/8 (JUST)
82 = Cents +1107.821284 Ratio: 256/135
83 = Cents +1178.49371 Ratio: 160/81 (JUST)
84 = Cents +1200. Ratio: 2/1 (JUST)
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