Table 1. Superparticular pentatonics with scale step sizes between 81/80 and 5/4 (inclusive). Each pentatonic is given from smallest step size to largest, and the whole list is in order of decreasing smallest steps. The prime factors of each scale are shown in brackets.
1: 9/8 8/7 8/7 7/6 7/6 [3, 7]
2: 10/9 9/8 8/7 7/6 6/5 [3, 5, 7]
3: 10/9 10/9 9/8 6/5 6/5 [3, 5]
4: 12/11 11/10 8/7 7/6 5/4 [3, 5, 7, 11]
5: 12/11 11/10 10/9 6/5 5/4 [3, 5, 11]
6: 14/13 13/12 8/7 6/5 5/4 [3, 5, 7, 13]
7: 15/14 8/7 7/6 7/6 6/5 [3, 5, 7]
8: 15/14 10/9 7/6 6/5 6/5 [3, 5, 7]
9: 16/15 9/8 8/7 7/6 5/4 [3, 5, 7]
10: 16/15 10/9 9/8 6/5 5/4 [3, 5]
11: 16/15 12/11 11/10 5/4 5/4 [3, 5, 11]
12: 16/15 15/14 7/6 6/5 5/4 [3, 5, 7]
13: 16/15 16/15 9/8 5/4 5/4 [3, 5]
14: 20/19 19/18 6/5 6/5 5/4 [3, 5, 19]
15: 21/20 8/7 8/7 7/6 5/4 [3, 5, 7]
16: 21/20 10/9 8/7 6/5 5/4 [3, 5, 7]
17: 21/20 16/15 8/7 5/4 5/4 [3, 5, 7]
18: 22/21 12/11 7/6 6/5 5/4 [3, 5, 7, 11]
19: 25/24 8/7 7/6 6/5 6/5 [3, 5, 7]
20: 25/24 10/9 6/5 6/5 6/5 [3, 5]
21: 25/24 16/15 6/5 6/5 5/4 [3, 5]
22: 26/25 14/13 8/7 5/4 5/4 [5, 7, 13]
23: 28/27 9/8 8/7 6/5 5/4 [3, 5, 7]
24: 28/27 15/14 6/5 6/5 5/4 [3, 5, 7]
25: 32/31 31/30 6/5 5/4 5/4 [3, 5, 31]
26: 36/35 8/7 7/6 7/6 5/4 [3, 5, 7]
27: 36/35 10/9 7/6 6/5 5/4 [3, 5, 7]
28: 36/35 16/15 7/6 5/4 5/4 [3, 5, 7]
29: 36/35 28/27 6/5 5/4 5/4 [3, 5, 7]
30: 40/39 13/12 6/5 6/5 5/4 [3, 5, 13]
31: 40/39 26/25 6/5 5/4 5/4 [3, 5, 13]
32: 46/45 24/23 6/5 5/4 5/4 [3, 5, 23]
33: 49/48 8/7 8/7 6/5 5/4 [3, 5, 7]
34: 50/49 7/6 7/6 6/5 6/5 [3, 5, 7]
35: 55/54 12/11 6/5 6/5 5/4 [3, 5, 11]
36: 56/55 11/10 8/7 5/4 5/4 [5, 7, 11]
37: 56/55 22/21 6/5 5/4 5/4 [3, 5, 7, 11]
38: 64/63 9/8 7/6 6/5 5/4 [3, 5, 7]
39: 64/63 21/20 6/5 5/4 5/4 [3, 5, 7]
40: 76/75 20/19 6/5 5/4 5/4 [3, 5, 19]