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74 Appendix A: Alternative Tunings
Sequential
26. Wendy Carlos’ Gamma Scale with Third Divided by Eleven
or Fifth by Twenty. 36 Tone
Octaves are stretched, and the tuning is quite microtonal.
0 = Cents 0. Ratio: 1/1 (JUST)
1 = Cents +35.099 Ratio: 1146/1123
2 = Cents +70.198 Ratio: 7449/7153
3 = Cents +105.297 Ratio: 4118/3875
4 = Cents +140.396 Ratio: 475/438
5 = Cents +175.495 Ratio: 5363/4846
6 = Cents +210.594 Ratio: 3990/3533
7 = Cents +245.693 Ratio: 11307/9811
8 = Cents +280.792 Ratio: 4495/3822
9 = Cents +315.891 Ratio: 9707/8088
10 = Cents +350.99 Ratio: 1989/1624
11 = Cents +386.089 Ratio: 1926/1541
12 = Cents +421.188 Ratio: 7321/5740
13 = Cents +456.287 Ratio: 2089/1605
14 = Cents +491.386 Ratio: 8563/6447
15 = Cents +526.485 Ratio: 6117/4513
16 = Cents +561.584 Ratio: 148/107
17 = Cents +596.683 Ratio: 2895/2051
18 = Cents +631.782 Ratio: 7627/5295
19 = Cents +666.881 Ratio: 13901/9457
20 = Cents +701.98 Ratio: 3/2 (just)
21 = Cents +737.079 Ratio: 5477/3578
22 = Cents +772.178 Ratio: 6981/4469
23 = Cents +807.277 Ratio: 14613/9167
24 = Cents +842.376 Ratio: 10660/6553
25 = Cents +877.475 Ratio: 1255/756
26 = Cents +912.574 Ratio: 3959/2337
27 = Cents +947.673 Ratio: 16513/9552
28 = Cents +982.772 Ratio: 15424/8743
29 = Cents +1017.871 Ratio: 7563/4201
30 = Cents +1052.97 Ratio: 7367/4010
31 = Cents +1088.069 Ratio: 11918/6357
32 = Cents +1123.168 Ratio: 13310/6957
33 = Cents +1158.267 Ratio: 17050/8733
34 = Cents +1193.366 Ratio: 14586/7321
35 = Cents +1228.465 Ratio: 13368/6575
36 = Cents +1263.564 Ratio: 1276/615