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Classes of 7-limit scales

🔗genewardsmith <genewardsmith@juno.com>

12/30/2001 2:58:20 AM

Here are the classes of 7-limit epimorphic superparticular scales. The larger ones are far beyond the limits of computation so far as classifying all of the connected scales. I think a subset of these, with some kind of propriety condition, and with the number of scale degrees not too large, is what needs to be considered.

4

[64/63, 21/20, 5/4, 3/2]
[1, 1, 1, 1]

[36/35, 28/27, 5/4, 3/2]
[1, 1, 1, 1]

[36/35, 10/9, 7/6, 3/2]
[1, 1, 1, 1]

[36/35, 7/6, 5/4, 4/3]
[1, 1, 1, 1]

[28/27, 15/14, 6/5, 3/2]
[1, 1, 1, 1]

[21/20, 10/9, 8/7, 3/2]
[1, 1, 1, 1]

[21/20, 8/7, 5/4, 4/3]
[1, 1, 1, 1]

[16/15, 15/14, 7/6, 3/2]
[1, 1, 1, 1]

[15/14, 7/6, 6/5, 4/3]
[1, 1, 1, 1]

[8/7, 7/6, 6/5, 5/4]
[1, 1, 1, 1]

5

[225/224, 126/125, 10/9, 4/3]
[1, 1, 1, 2]

[225/224, 28/27, 6/5, 4/3]
[1, 1, 2, 1]

[225/224, 21/20, 16/15, 4/3]
[1, 1, 1, 2]

[225/224, 16/15, 7/6, 3/2]
[1, 2, 1, 1]

[126/125, 15/14, 10/9, 3/2]
[1, 1, 2, 1]

[81/80, 28/27, 15/14, 4/3]
[1, 1, 1, 2]

[64/63, 21/20, 6/5, 5/4]
[1, 1, 1, 2]

[49/48, 8/7, 6/5, 5/4]
[1, 2, 1, 1]

[36/35, 28/27, 6/5, 5/4]
[1, 1, 1, 2]

[36/35, 21/20, 10/9, 3/2]
[1, 1, 2, 1]

[36/35, 16/15, 7/6, 5/4]
[1, 1, 1, 2]

[36/35, 15/14, 7/6, 4/3]
[1, 1, 2, 1]

[36/35, 8/7, 7/6, 5/4]
[1, 1, 2, 1]

[28/27, 15/14, 6/5, 5/4]
[1, 1, 2, 1]

[25/24, 8/7, 7/6, 6/5]
[1, 1, 1, 2]

[21/20, 16/15, 8/7, 5/4]
[1, 1, 1, 2]

[21/20, 8/7, 7/6, 5/4]
[1, 2, 1, 1]

[15/14, 10/9, 7/6, 6/5]
[1, 1, 1, 2]

[15/14, 8/7, 7/6, 6/5]
[1, 1, 2, 1]

6

[2401/2400, 15/14, 8/7, 5/4]
[1, 1, 3, 1]

[2401/2400, 15/14, 8/7, 4/3]
[1, 2, 2, 1]

[225/224, 64/63, 21/20, 4/3]
[1, 1, 2, 2]

[225/224, 28/27, 10/9, 6/5]
[1, 1, 1, 3]

[81/80, 10/9, 8/7, 7/6]
[1, 1, 2, 2]

[64/63, 21/20, 8/7, 5/4]
[1, 2, 1, 2]

[49/48, 36/35, 10/9, 3/2]
[1, 2, 2, 1]

[49/48, 25/24, 8/7, 6/5]
[1, 1, 2, 2]

[49/48, 21/20, 8/7, 5/4]
[1, 1, 3, 1]

[49/48, 16/15, 15/14, 3/2]
[1, 2, 2, 1]

[36/35, 28/27, 7/6, 5/4]
[2, 1, 1, 2]

[36/35, 25/24, 7/6, 4/3]
[2, 1, 2, 1]

[36/35, 15/14, 8/7, 7/6]
[1, 1, 1, 3]

[36/35, 10/9, 7/6, 5/4]
[2, 1, 2, 1]

[28/27, 25/24, 15/14, 6/5]
[1, 1, 1, 3]

[28/27, 15/14, 7/6, 6/5]
[1, 2, 1, 2]

[25/24, 21/20, 8/7, 4/3]
[1, 2, 2, 1]

[21/20, 16/15, 15/14, 5/4]
[1, 2, 1, 2]

[21/20, 15/14, 10/9, 6/5]
[1, 1, 2, 2]

[21/20, 15/14, 8/7, 7/6]
[1, 1, 2, 2]

[21/20, 10/9, 8/7, 5/4]
[2, 1, 2, 1]

[16/15, 15/14, 7/6, 6/5]
[1, 2, 2, 1]

7

[4375/4374, 126/125, 15/14, 6/5]
[1, 1, 2, 3]

[2401/2400, 15/14, 8/7, 7/6]
[1, 2, 3, 1]

[225/224, 126/125, 10/9, 6/5]
[1, 1, 3, 2]

[225/224, 28/27, 15/14, 6/5]
[1, 2, 1, 3]

[225/224, 21/20, 16/15, 5/4]
[1, 1, 3, 2]

[126/125, 28/27, 15/14, 3/2]
[1, 2, 3, 1]

[81/80, 50/49, 28/27, 4/3]
[2, 1, 2, 2]

[64/63, 25/24, 21/20, 6/5]
[1, 2, 1, 3]

[64/63, 21/20, 9/8, 5/4]
[2, 2, 1, 2]

[50/49, 49/48, 8/7, 6/5]
[1, 2, 2, 2]

[50/49, 21/20, 16/15, 5/4]
[1, 2, 2, 2]

[50/49, 21/20, 10/9, 6/5]
[1, 2, 2, 2]

[50/49, 21/20, 8/7, 7/6]
[1, 2, 2, 2]

[49/48, 36/35, 8/7, 5/4]
[2, 1, 3, 1]

[49/48, 15/14, 8/7, 6/5]
[2, 1, 3, 1]

[36/35, 28/27, 25/24, 6/5]
[1, 1, 2, 3]

[36/35, 28/27, 9/8, 5/4]
[2, 2, 1, 2]

[36/35, 25/24, 8/7, 7/6]
[2, 1, 1, 3]

[36/35, 16/15, 15/14, 7/6]
[1, 1, 2, 3]

[36/35, 15/14, 10/9, 7/6]
[2, 1, 1, 3]

[36/35, 10/9, 9/8, 7/6]
[2, 2, 1, 2]

[28/27, 15/14, 9/8, 6/5]
[2, 2, 1, 2]

[25/24, 21/20, 8/7, 7/6]
[1, 2, 3, 1]

[21/20, 10/9, 9/8, 8/7]
[2, 2, 1, 2]

[16/15, 15/14, 9/8, 7/6]
[2, 2, 1, 2]

8

[2401/2400, 49/48, 15/14, 8/7]
[1, 1, 2, 4]

[2401/2400, 16/15, 15/14, 4/3]
[1, 2, 4, 1]

[225/224, 49/48, 16/15, 3/2]
[2, 1, 4, 1]

[225/224, 28/27, 16/15, 6/5]
[2, 2, 1, 3]

[225/224, 16/15, 7/6, 6/5]
[2, 3, 2, 1]

[126/125, 64/63, 25/24, 6/5]
[1, 1, 3, 3]

[126/125, 25/24, 8/7, 4/3]
[2, 3, 2, 1]

[126/125, 15/14, 10/9, 5/4]
[2, 2, 3, 1]

[81/80, 49/48, 10/9, 8/7]
[1, 2, 1, 4]

[81/80, 36/35, 10/9, 7/6]
[1, 2, 3, 2]

[81/80, 21/20, 10/9, 8/7]
[1, 2, 3, 2]

[64/63, 21/20, 15/14, 5/4]
[2, 3, 1, 2]

[49/48, 25/24, 21/20, 8/7]
[1, 1, 2, 4]

[49/48, 21/20, 15/14, 8/7]
[2, 1, 1, 4]

[36/35, 28/27, 15/14, 7/6]
[2, 1, 2, 3]

[36/35, 25/24, 10/9, 7/6]
[3, 1, 1, 3]

[36/35, 21/20, 10/9, 5/4]
[2, 2, 3, 1]

[28/27, 21/20, 15/14, 6/5]
[2, 1, 3, 2]

[25/24, 21/20, 10/9, 8/7]
[1, 3, 1, 3]

[21/20, 16/15, 15/14, 7/6]
[1, 2, 3, 2]

[21/20, 15/14, 10/9, 8/7]
[3, 1, 2, 2]

9

[2401/2400, 50/49, 15/14, 8/7]
[2, 1, 2, 4]

[2401/2400, 50/49, 8/7, 6/5]
[2, 3, 2, 2]

[2401/2400, 16/15, 15/14, 5/4]
[1, 3, 4, 1]

[225/224, 36/35, 28/27, 6/5]
[2, 1, 3, 3]

[225/224, 36/35, 16/15, 7/6]
[2, 1, 3, 3]

[225/224, 16/15, 9/8, 7/6]
[2, 4, 1, 2]

[126/125, 25/24, 8/7, 7/6]
[2, 3, 3, 1]

[126/125, 15/14, 10/9, 9/8]
[2, 2, 4, 1]

[126/125, 15/14, 10/9, 7/6]
[2, 3, 3, 1]

[81/80, 28/27, 15/14, 6/5]
[1, 3, 3, 2]

[64/63, 50/49, 21/20, 5/4]
[2, 1, 4, 2]

[64/63, 21/20, 10/9, 9/8]
[2, 2, 2, 3]

[50/49, 49/48, 21/20, 8/7]
[1, 2, 2, 4]

[50/49, 21/20, 10/9, 8/7]
[1, 4, 2, 2]

[49/48, 36/35, 15/14, 8/7]
[3, 1, 1, 4]

[36/35, 28/27, 10/9, 9/8]
[2, 2, 2, 3]

[36/35, 25/24, 16/15, 7/6]
[3, 2, 1, 3]

[36/35, 21/20, 10/9, 9/8]
[2, 2, 4, 1]

[28/27, 16/15, 15/14, 9/8]
[2, 2, 2, 3]

[25/24, 21/20, 16/15, 8/7]
[2, 3, 1, 3]

10

[2401/2400, 64/63, 15/14, 8/7]
[2, 1, 4, 3]

[2401/2400, 16/15, 15/14, 7/6]
[1, 3, 5, 1]

[225/224, 64/63, 21/20, 5/4]
[1, 3, 4, 2]

[126/125, 81/80, 15/14, 10/9]
[2, 1, 2, 5]

[126/125, 49/48, 25/24, 8/7]
[2, 1, 3, 4]

[126/125, 21/20, 15/14, 10/9]
[2, 1, 3, 4]

[81/80, 64/63, 10/9, 7/6]
[3, 2, 3, 2]

[81/80, 36/35, 21/20, 10/9]
[1, 2, 2, 5]

[81/80, 28/27, 10/9, 8/7]
[3, 2, 3, 2]

[64/63, 25/24, 21/20, 8/7]
[1, 2, 4, 3]

[64/63, 21/20, 15/14, 7/6]
[2, 3, 3, 2]

[49/48, 36/35, 25/24, 8/7]
[3, 2, 1, 4]

[49/48, 36/35, 10/9, 5/4]
[2, 4, 3, 1]

[49/48, 16/15, 15/14, 6/5]
[2, 3, 4, 1]

[36/35, 28/27, 25/24, 7/6]
[4, 1, 2, 3]

[36/35, 21/20, 15/14, 10/9]
[2, 3, 1, 4]

[28/27, 21/20, 15/14, 8/7]
[2, 3, 3, 2]

[21/20, 16/15, 15/14, 10/9]
[3, 2, 3, 2]

11

[4375/4374, 36/35, 21/20, 3/2]
[2, 5, 3, 1]

[2401/2400, 50/49, 21/20, 8/7]
[2, 3, 2, 4]

[225/224, 126/125, 15/14, 10/9]
[1, 3, 2, 5]

[225/224, 28/27, 16/15, 9/8]
[2, 2, 4, 3]

[225/224, 21/20, 16/15, 7/6]
[3, 1, 5, 2]

[126/125, 28/27, 15/14, 5/4]
[2, 3, 5, 1]

[126/125, 25/24, 15/14, 10/9]
[3, 1, 3, 4]

[126/125, 25/24, 10/9, 8/7]
[3, 4, 1, 3]

[50/49, 49/48, 36/35, 8/7]
[1, 4, 2, 4]

[50/49, 36/35, 21/20, 10/9]
[1, 2, 4, 4]

[50/49, 28/27, 21/20, 6/5]
[3, 2, 4, 2]

[50/49, 21/20, 16/15, 7/6]
[3, 4, 2, 2]

[49/48, 36/35, 10/9, 9/8]
[2, 4, 4, 1]

[49/48, 16/15, 15/14, 9/8]
[2, 4, 4, 1]

[36/35, 28/27, 15/14, 9/8]
[2, 4, 2, 3]

[36/35, 25/24, 21/20, 10/9]
[3, 1, 3, 4]

12

[2401/2400, 225/224, 16/15, 4/3]
[1, 4, 6, 1]

[2401/2400, 49/48, 16/15, 15/14]
[1, 1, 4, 6]

[225/224, 36/35, 28/27, 7/6]
[2, 4, 3, 3]

[126/125, 28/27, 15/14, 7/6]
[2, 3, 6, 1]

[126/125, 25/24, 16/15, 8/7]
[3, 5, 1, 3]

[81/80, 64/63, 21/20, 10/9]
[3, 2, 2, 5]

[81/80, 49/48, 36/35, 10/9]
[1, 2, 4, 5]

[81/80, 36/35, 28/27, 10/9]
[3, 2, 2, 5]

[64/63, 21/20, 15/14, 10/9]
[2, 5, 3, 2]

[49/48, 21/20, 16/15, 15/14]
[2, 1, 4, 5]

[28/27, 21/20, 16/15, 15/14]
[2, 3, 2, 5]

[25/24, 21/20, 16/15, 15/14]
[2, 3, 4, 3]

13

[4375/4374, 126/125, 15/14, 10/9]
[1, 4, 5, 3]

[2401/2400, 225/224, 16/15, 5/4]
[1, 4, 7, 1]

[2401/2400, 64/63, 16/15, 15/14]
[2, 1, 3, 7]

[2401/2400, 64/63, 15/14, 9/8]
[2, 4, 4, 3]

[2401/2400, 50/49, 16/15, 15/14]
[2, 1, 4, 6]

[225/224, 126/125, 16/15, 10/9]
[3, 3, 2, 5]

[225/224, 21/20, 16/15, 10/9]
[3, 3, 5, 2]

[126/125, 50/49, 49/48, 8/7]
[2, 3, 4, 4]

[126/125, 50/49, 21/20, 10/9]
[2, 3, 4, 4]

[126/125, 28/27, 15/14, 9/8]
[2, 4, 6, 1]

[81/80, 28/27, 15/14, 8/7]
[3, 5, 3, 2]

[64/63, 50/49, 21/20, 7/6]
[2, 3, 6, 2]

[64/63, 25/24, 21/20, 9/8]
[4, 2, 4, 3]

[50/49, 28/27, 21/20, 8/7]
[3, 2, 6, 2]

[50/49, 21/20, 16/15, 10/9]
[3, 6, 2, 2]

[49/48, 36/35, 16/15, 15/14]
[3, 1, 4, 5]

[49/48, 36/35, 15/14, 10/9]
[3, 5, 1, 4]

[36/35, 28/27, 25/24, 9/8]
[4, 4, 2, 3]

14

[4375/4374, 49/48, 36/35, 3/2]
[2, 3, 8, 1]

[225/224, 49/48, 16/15, 6/5]
[4, 2, 7, 1]

[126/125, 64/63, 25/24, 8/7]
[4, 1, 6, 3]

[126/125, 36/35, 25/24, 10/9]
[3, 3, 4, 4]

[126/125, 28/27, 21/20, 15/14]
[2, 4, 1, 7]

[81/80, 64/63, 28/27, 10/9]
[5, 2, 2, 5]

[64/63, 28/27, 21/20, 15/14]
[2, 2, 5, 5]

[49/48, 36/35, 25/24, 10/9]
[3, 6, 1, 4]

[36/35, 28/27, 21/20, 15/14]
[2, 4, 3, 5]

15

[2401/2400, 225/224, 16/15, 7/6]
[1, 5, 8, 1]

[2401/2400, 50/49, 36/35, 8/7]
[4, 5, 2, 4]

[225/224, 49/48, 16/15, 9/8]
[4, 2, 8, 1]

[225/224, 36/35, 28/27, 9/8]
[2, 4, 6, 3]

[225/224, 25/24, 21/20, 16/15]
[3, 2, 3, 7]

[126/125, 81/80, 28/27, 15/14]
[2, 1, 5, 7]

[126/125, 28/27, 25/24, 15/14]
[3, 4, 1, 7]

[126/125, 25/24, 16/15, 15/14]
[3, 5, 4, 3]

[81/80, 50/49, 28/27, 6/5]
[4, 3, 6, 2]

[81/80, 28/27, 16/15, 15/14]
[3, 5, 2, 5]

[64/63, 50/49, 21/20, 10/9]
[2, 3, 8, 2]

[50/49, 49/48, 36/35, 10/9]
[1, 4, 6, 4]

[50/49, 25/24, 21/20, 16/15]
[3, 2, 6, 4]

[36/35, 25/24, 21/20, 16/15]
[3, 5, 3, 4]

16

[4375/4374, 126/125, 28/27, 15/14]
[1, 4, 3, 8]

[2401/2400, 64/63, 21/20, 15/14]
[2, 4, 3, 7]

[225/224, 126/125, 28/27, 15/14]
[1, 3, 5, 7]

[225/224, 64/63, 21/20, 7/6]
[3, 5, 6, 2]

[81/80, 64/63, 49/48, 10/9]
[5, 4, 2, 5]

[64/63, 49/48, 21/20, 15/14]
[4, 2, 5, 5]

[64/63, 25/24, 21/20, 15/14]
[4, 2, 7, 3]

17

[4375/4374, 36/35, 21/20, 5/4]
[3, 8, 5, 1]

[2401/2400, 126/125, 50/49, 8/7]
[4, 2, 7, 4]

[225/224, 49/48, 21/20, 16/15]
[5, 2, 1, 9]

[225/224, 28/27, 21/20, 16/15]
[5, 2, 3, 7]

[126/125, 64/63, 25/24, 9/8]
[4, 4, 6, 3]

[126/125, 50/49, 25/24, 10/9]
[6, 3, 4, 4]

[81/80, 36/35, 28/27, 15/14]
[3, 2, 7, 5]

[50/49, 49/48, 21/20, 16/15]
[5, 2, 6, 4]

[50/49, 28/27, 21/20, 16/15]
[5, 2, 8, 2]

[49/48, 36/35, 28/27, 15/14]
[3, 5, 4, 5]

18

[2401/2400, 225/224, 49/48, 16/15]
[1, 6, 1, 10]

[225/224, 126/125, 25/24, 16/15]
[3, 3, 5, 7]

[225/224, 64/63, 21/20, 10/9]
[3, 5, 8, 2]

[225/224, 49/48, 36/35, 16/15]
[5, 3, 1, 9]

[126/125, 36/35, 25/24, 16/15]
[3, 3, 8, 4]

[49/48, 36/35, 25/24, 16/15]
[3, 6, 5, 4]

19

[2401/2400, 225/224, 50/49, 16/15]
[2, 6, 1, 10]

[2401/2400, 50/49, 36/35, 10/9]
[4, 5, 6, 4]

[2401/2400, 50/49, 21/20, 16/15]
[2, 7, 6, 4]

[81/80, 64/63, 28/27, 15/14]
[5, 2, 7, 5]

[81/80, 50/49, 28/27, 8/7]
[6, 3, 8, 2]

[64/63, 50/49, 28/27, 21/20]
[2, 5, 2, 10]

[64/63, 50/49, 25/24, 21/20]
[4, 3, 2, 10]

[64/63, 36/35, 25/24, 21/20]
[4, 3, 5, 7]

[50/49, 36/35, 28/27, 21/20]
[5, 2, 4, 8]

[36/35, 28/27, 25/24, 21/20]
[7, 4, 5, 3]

20

[2401/2400, 225/224, 64/63, 16/15]
[2, 7, 1, 10]

[225/224, 81/80, 28/27, 16/15]
[5, 3, 5, 7]

21

[4375/4374, 36/35, 21/20, 9/8]
[4, 10, 6, 1]

[126/125, 50/49, 49/48, 10/9]
[6, 7, 4, 4]

[126/125, 50/49, 28/27, 21/20]
[2, 7, 4, 8]

[126/125, 50/49, 25/24, 16/15]
[6, 3, 8, 4]

[64/63, 50/49, 49/48, 21/20]
[4, 5, 2, 10]

[64/63, 49/48, 36/35, 15/14]
[4, 7, 5, 5]

22

[4375/4374, 126/125, 36/35, 15/14]
[4, 7, 3, 8]

[4375/4374, 49/48, 36/35, 5/4]
[3, 5, 13, 1]

[4375/4374, 36/35, 21/20, 15/14]
[4, 10, 7, 1]

[225/224, 64/63, 25/24, 21/20]
[3, 7, 2, 10]

[126/125, 36/35, 28/27, 25/24]
[3, 7, 4, 8]

[81/80, 64/63, 25/24, 21/20]
[3, 7, 5, 7]

[81/80, 36/35, 28/27, 25/24]
[3, 7, 7, 5]

[49/48, 36/35, 28/27, 25/24]
[3, 10, 4, 5]

23

[4375/4374, 50/49, 36/35, 21/20]
[4, 1, 10, 8]

[4375/4374, 36/35, 25/24, 21/20]
[4, 11, 1, 7]

[2401/2400, 64/63, 50/49, 21/20]
[2, 4, 7, 10]

[225/224, 126/125, 28/27, 16/15]
[8, 3, 5, 7]

[126/125, 64/63, 25/24, 15/14]
[7, 4, 9, 3]

[50/49, 49/48, 36/35, 16/15]
[5, 8, 6, 4]

24

[225/224, 64/63, 28/27, 21/20]
[5, 7, 2, 10]

[225/224, 36/35, 28/27, 21/20]
[5, 7, 9, 3]

25

[4375/4374, 126/125, 50/49, 15/14]
[4, 10, 3, 8]

[4375/4374, 81/80, 36/35, 21/20]
[5, 1, 12, 7]

[4375/4374, 81/80, 36/35, 16/15]
[5, 8, 5, 7]

[2401/2400, 126/125, 50/49, 10/9]
[4, 6, 11, 4]

[81/80, 50/49, 28/27, 16/15]
[8, 5, 10, 2]

26

[225/224, 64/63, 49/48, 21/20]
[5, 9, 2, 10]

[126/125, 64/63, 36/35, 25/24]
[7, 4, 3, 12]

[81/80, 64/63, 49/48, 15/14]
[5, 9, 7, 5]

[64/63, 49/48, 36/35, 25/24]
[4, 7, 10, 5]

27

[4375/4374, 49/48, 36/35, 9/8]
[4, 6, 16, 1]

[225/224, 81/80, 36/35, 28/27]
[5, 3, 7, 12]

[225/224, 49/48, 36/35, 28/27]
[5, 3, 10, 9]

[81/80, 50/49, 36/35, 28/27]
[8, 5, 2, 12]

[50/49, 49/48, 36/35, 28/27]
[5, 8, 10, 4]

29

[4375/4374, 49/48, 36/35, 15/14]
[4, 7, 17, 1]

[126/125, 81/80, 64/63, 25/24]
[7, 3, 7, 12]

[126/125, 81/80, 50/49, 28/27]
[2, 8, 7, 12]

[126/125, 64/63, 50/49, 25/24]
[10, 4, 3, 12]

[126/125, 50/49, 49/48, 16/15]
[6, 11, 8, 4]

[126/125, 50/49, 28/27, 25/24]
[10, 7, 4, 8]

[81/80, 64/63, 50/49, 28/27]
[10, 2, 5, 12]

[81/80, 64/63, 28/27, 25/24]
[10, 7, 7, 5]

30

[4375/4374, 126/125, 36/35, 25/24]
[4, 7, 11, 8]

[4375/4374, 81/80, 64/63, 16/15]
[5, 13, 5, 7]

[4375/4374, 49/48, 36/35, 25/24]
[4, 7, 18, 1]

[2401/2400, 225/224, 64/63, 21/20]
[2, 7, 11, 10]

[225/224, 126/125, 36/35, 28/27]
[8, 3, 7, 12]

31

[4375/4374, 50/49, 49/48, 36/35]
[4, 1, 8, 18]

[2401/2400, 50/49, 36/35, 16/15]
[8, 13, 6, 4]

[64/63, 50/49, 49/48, 36/35]
[4, 5, 12, 10]

32

[4375/4374, 81/80, 49/48, 36/35]
[5, 1, 7, 19]

[4375/4374, 81/80, 36/35, 28/27]
[5, 8, 12, 7]

[225/224, 126/125, 64/63, 25/24]
[3, 10, 7, 12]

33

[4375/4374, 126/125, 50/49, 21/20]
[4, 10, 11, 8]

34

[225/224, 81/80, 64/63, 28/27]
[5, 10, 7, 12]

35

[2401/2400, 50/49, 36/35, 28/27]
[8, 13, 10, 4]

36

[225/224, 64/63, 49/48, 36/35]
[5, 9, 12, 10]

[81/80, 64/63, 49/48, 25/24]
[10, 14, 7, 5]

37

[4375/4374, 81/80, 64/63, 21/20]
[5, 13, 12, 7]

[2401/2400, 126/125, 50/49, 16/15]
[8, 6, 19, 4]

[225/224, 126/125, 50/49, 28/27]
[8, 10, 7, 12]

[126/125, 50/49, 49/48, 28/27]
[10, 15, 8, 4]

39

[4375/4374, 2401/2400, 50/49, 36/35]
[4, 8, 9, 18]

41

[4375/4374, 126/125, 50/49, 25/24]
[4, 18, 11, 8]

[126/125, 64/63, 50/49, 49/48]
[10, 4, 15, 12]

[81/80, 64/63, 50/49, 49/48]
[10, 14, 5, 12]

43

[2401/2400, 64/63, 50/49, 36/35]
[12, 4, 17, 10]

44

[4375/4374, 81/80, 64/63, 28/27]
[5, 20, 12, 7]

[225/224, 126/125, 64/63, 28/27]
[15, 10, 7, 12]

45

[2401/2400, 126/125, 50/49, 28/27]
[8, 10, 23, 4]

46

[4375/4374, 126/125, 81/80, 36/35]
[12, 7, 8, 19]

[225/224, 81/80, 64/63, 49/48]
[5, 10, 19, 12]

49

[4375/4374, 126/125, 50/49, 49/48]
[4, 18, 19, 8]

51

[4375/4374, 81/80, 64/63, 49/48]
[5, 20, 19, 7]

53

[2401/2400, 126/125, 64/63, 50/49]
[12, 10, 4, 27]

[2401/2400, 81/80, 64/63, 50/49]
[12, 10, 14, 17]

54

[4375/4374, 225/224, 126/125, 36/35]
[12, 8, 15, 19]

56

[225/224, 126/125, 64/63, 49/48]
[15, 10, 19, 12]

57

[4375/4374, 2401/2400, 126/125, 50/49]
[4, 8, 18, 27]

60

[2401/2400, 225/224, 64/63, 36/35]
[12, 17, 21, 10]

65

[4375/4374, 126/125, 81/80, 64/63]
[12, 7, 27, 19]

[4375/4374, 126/125, 81/80, 50/49]
[12, 26, 8, 19]

70

[2401/2400, 225/224, 81/80, 64/63]
[12, 17, 10, 31]

73

[4375/4374, 225/224, 126/125, 50/49]
[12, 8, 34, 19]

80

[2401/2400, 225/224, 126/125, 64/63]
[12, 27, 10, 31]

92

[4375/4374, 225/224, 126/125, 64/63]
[12, 27, 34, 19]