105
Take 5 User’s Guide
Appendix F: Alternative Tunings
58. 11-limit ‘prime row’ from Ben Johnston’s “6th Quartet”.
Not octave repeating, with some very narrow intervals. These are the
rst 30 pitches:
0 = Cents 0. Ratio: 1/1 (JUST)
1 = Cents +70.672427 Ratio: 25/24 (JUST)
2 = Cents +182.403712 Ratio: 10/9 (JUST)
3 = Cents +274.582429 Ratio: 75/64 (JUST)
4 = Cents +386.313714 Ratio: 5/4 (JUST)
5 = Cents +505.756522 Ratio: 75/56 (JUST)
6 = Cents +568.717426 Ratio: 25/18 (JUST)
7 = Cents +733.721654 Ratio: 55/36 (JUST)
8 = Cents +772.627428 Ratio: 25/16 (JUST)
9 = Cents +884.358713 Ratio: 5/3 (JUST)
10 = Cents +923.264486 Ratio: 75/44 (JUST)
11 = Cents +1088.268715 Ratio: 15/8 (JUST)
12 = Cents +1151.229619 Ratio: 35/18 (JUST)
13 = Cents +1221.902045 Ratio: 875/432
14 = Cents +1333.633331 Ratio: 175/81 (JUST)
15 = Cents +1425.812047 Ratio: 875/384
16 = Cents +1537.543332 Ratio: 175/72 (JUST)
17 = Cents +1656.986141 Ratio: 125/48 (JUST)
18 = Cents +1719.947045 Ratio: 875/324
19 = Cents +1884.951273 Ratio: 1925/648
20 = Cents +1923.857046 Ratio: 875/288
21 = Cents +2035.588332 Ratio: 175/54 (JUST)
22 = Cents +2074.494105 Ratio: 875/264
23 = Cents +2239.498333 Ratio: 175/48 (JUST)
24 = Cents +2302.459237 Ratio: 1225/324
25 = Cents +2373.131664 Ratio: 30625/7776
26 = Cents +2484.862949 Ratio: 6125/1458
27 = Cents +2577.041666 Ratio: 30625/6912
28 = Cents +2688.772951 Ratio: 6125/1296
29 = Cents +2808.215759 Ratio: 4375/864
30 = Cents +2871.176663 Ratio: 30625/5832
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