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11-limit periodicity blocks with superparticular unison vectors

🔗Paul H. Erlich <PErlich@xxxxxxxxxxxxx.xxxx>

1/13/2000 2:58:40 PM

The 14 smallest (i.e., largest numbers) superparticular 11-limit ratios are:

98/99
99/100
120/121
125/126
175/176
224/225
242/243
384/385
440/441
539/540
2400/2401
3024/3025
4374/4375
9800/9801

Taking 4 of these at a time, the following periodicity blocks occur most
commonly:

31 notes -- 188 times
72 notes -- 63 times
34 notes -- 46 times
8 notes -- 45 times
27 notes -- 41 times
22 notes -- 40 times
46 notes -- 40 times
14 notes -- 34 times
41 notes -- 24 times
62 notes -- 24 times
12 notes -- 21 times
26 notes -- 21 times
38 notes -- 20 times
7 notes -- 19 times
19 notes -- 19 times
15 notes -- 17 times
53 notes -- 17 times