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Commas of the form N/(N-2)

🔗Gene Ward Smith <gwsmith@svpal.org>

4/15/2004 4:26:44 PM

Here is something from the Lehmer article, all N/(N-2) through the
31-limit. As ratios of odd integers, I suppose these are particularly
interesting to the non-octave school of thought.

3-limit

3

5-limit

5/3 27/25

7-limit

7/5 9/7 245/243

11-limit

11/9 35/33 77/75

13-limit

13/11 15/13 65/63 275/273 847/845 1575/1573

17-limit

17/15 51/49 119/117 121/119 189/187

19-limit

19/17 21/19 57/55 135/133 171/169 247/245 325/323 627/625

665/663 1617/1615 3213/3211 3971/3969

23-limit

23/21 25/23 117/115 209/207 255/253 299/297 345/343 1127/1125

1311/1309 2187/2185 2277/2275 2875/2873 3705/3703 6877/6875

8075/8073 9317/9315 18515/18513 41745/41743 57477/57475

1128127/1128125 1447875/1447873

29-limit

29/27 87/85 145/143 147/145 377/375 437/435 495/493 667/665

2873/2871 8381/8379 9947/9945 12675/12673 14877/14875

16445/16443 24565/24563 41327/41325 45619/45617 87725/87723

184877/184875

31-limit

31/29 33/31 93/91 95/93 155/153 343/341 405/403 527/525 529/527

715/713 899/897 1085/1083 1521/1519 1955/1953 2697/2695 3627/3625

4125/4123 5425/5423 7163/7161 19437/19435 22477/22475 86275/86273

130977/130975 203205/203203 2509047/2509045 3322055/3322053

287080367/287080365