Tree of MOS derived from 1L 1s&1L

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Below is a tree of single-period MOS scales which have no fewer large steps than small steps:

1L
11L 1s
10L 1s
19L 2s
9L 1s
26L 3s
17L 2s
25L 3s
8L 1s
31L 4s
23L 3s
38L 5s
15L 2s
37L 5s
22L 3s
29L 4s
7L 1s
34L 5s
27L 4s
47L 7s
20L 3s
53L 8s
33L 5s
46L 7s
13L 2s
45L 7s
32L 5s
51L 8s
19L 3s
44L 7s
25L 4s
31L 5s
6L 1s
35L 6s
29L 5s
52L 9s
23L 4s
63L 11s
40L 7s
57L 10s
17L 3s
62L 11s
45L 8s
73L 13s
28L 5s
67L 12s
39L 7s
50L 9s
11L 2s
49L 9s
38L 7s
65L 12s
27L 5s
70L 13s
43L 8s
59L 11s
16L 3s
53L 10s
37L 7s
58L 11s
21L 4s
47L 9s
26L 5s
31L 6s
5L 1s
34L 7s
29L 6s
53L 11s
24L 5s
67L 14s
43L 9s
62L 13s
19L 4s
71L 15s
52L 11s
85L 18s
33L 7s
80L 17s
47L 10s
61L 13s
14L 3s
65L 14s
51L 11s
88L 19s
37L 8s
97L 21s
60L 13s
83L 18s
23L 5s
78L 17s
55L 12s
87L 19s
32L 7s
73L 16s
41L 9s
50L 11s
9L 2s
49L 11s
40L 9s
71L 16s
31L 7s
84L 19s
53L 12s
75L 17s
22L 5s
79L 18s
57L 13s
92L 21s
35L 8s
83L 19s
48L 11s
61L 14s
13L 3s
56L 13s
43L 10s
73L 17s
30L 7s
77L 18s
47L 11s
64L 15s
17L 4s
55L 13s
38L 9s
59L 14s
21L 5s
46L 11s
25L 6s
29L 7s
4L 1s
31L 8s
27L 7s
50L 13s
23L 6s
65L 17s
42L 11s
61L 16s
19L 5s
72L 19s
53L 14s
87L 23s
34L 9s
83L 22s
49L 13s
64L 17s
15L 4s
71L 19s
56L 15s
97L 26s
41L 11s
108L 29s
67L 18s
93L 25s
26L 7s
89L 24s
63L 17s
100L 27s
37L 10s
85L 23s
48L 13s
59L 16s
11L 3s
62L 17s
51L 14s
91L 25s
40L 11s
109L 30s
69L 19s
98L 27s
29L 8s
105L 29s
76L 21s
123L 34s
47L 13s
112L 31s
65L 18s
83L 23s
18L 5s
79L 22s
61L 17s
104L 29s
43L 12s
111L 31s
68L 19s
93L 26s
25L 7s
82L 23s
57L 16s
89L 25s
32L 9s
71L 20s
39L 11s
46L 13s
7L 2s
45L 13s
38L 11s
69L 20s
31L 9s
86L 25s
55L 16s
79L 23s
24L 7s
89L 26s
65L 19s
106L 31s
41L 12s
99L 29s
58L 17s
75L 22s
17L 5s
78L 23s
61L 18s
107L 31s
44L 13s
115L 34s
71L 21s
98L 29s
27L 8s
91L 27s
64L 19s
101L 30s
37L 11s
84L 25s
47L 14s
57L 17s
10L 3s
53L 16s
43L 13s
76L 23s
33L 10s
89L 27s
56L 17s
79L 24s
23L 7s
59L 18s
36L 11s
49L 15s
13L 4s
55L 17s
42L 13s
71L 22s
29L 9s
74L 23s
45L 14s
61L 19s
16L 5s
35L 11s
19L 6s
22L 7s
25L 8s
3L 1s
26L 9s
23L 8s
43L 15s
20L 7s
57L 20s
37L 13s
54L 19s
17L 6s
65L 23s
48L 17s
79L 28s
31L 11s
76L 27s
45L 16s
59L 21s
14L 5s
67L 24s
53L 19s
92L 33s
39L 14s
103L 37s
64L 23s
89L 32s
25L 9s
86L 31s
61L 22s
97L 35s
36L 13s
83L 30s
47L 17s
58L 21s
11L 4s
63L 23s
52L 19s
93L 34s
41L 15s
112L 41s
71L 26s
101L 37s
30L 11s
109L 40s
79L 29s
128L 47s
49L 18s
107L 43s
58L 25L
77L 32s
19L 7s
84L 31s
65L 24s
111L 41s
46L 17s
119L 44s
73L 27s
100L 37s
27L 10s
89L 33s
62L 23s
97L 36s
35L 13s
88L 29s
43L 16s
51L 19s
8L 3s
53L 20s
45L 17s
82L 31s
37L 14s
103L 39s
66L 25s
95L 36s
29L 11s
108L 41s
79L 30s
129L 49s
50L 19s
121L 46s
71L 27s
92L 35s
21L 8s
97L 37s
76L 29s
131L 50s
55L 21s
144L 55s
89L 34s
123L 47s
34L 13s
115L 44s
81L 31s
128L 49s
47L 18s
107L 41s
60L 23s
73L 28s
13L 5s
70L 27s
57L 22s
101L 39s
44L 17s
119L 46s
75L 29s
106L 41s
31L 12s
111L 43s
80L 31s
129L 50s
49L 19s
116L 45s
67L 26s
85L 33s
18L 7s
77L 30s
59L 23s
100L 39s
41L 16s
107L 41s
64L 25s
87L 34s
23L 9s
74L 29s
51L 20s
79L 31s
28L 11s
61L 24s
33L 13s
38L 15s
5L 2s
37L 15s
32L 13s
59L 24s
27L 11s
76L 31s
49L 20s
71L 29s
22L 9s
83L 34s
61L 25s
100L 41s
39L 16s
95L 39s
56L 23s
73L 30s
17L 7s
80L 33s
63L 26s
109L 45s
46L 19s
121L 50s
75L 31s
104L 43s
29L 12s
109L 41s
70L 29s
121L 46s
41L 17s
94L 39s
53L 22s
65L 27s
12L 5s
67L 28s
55L 23s
98L 41s
43L 18s
117L 49s
74L 31s
105L 44s
31L 13s
112L 47s
81L 34s
131L 55s
50L 21s
119L 50s
69L 29s
88L 37s
19L 8s
83L 35s
64L 27s
109L 46s
45L 19s
116L 49s
71L 30s
97L 41s
26L 11s
85L 36s
59L 25s
92L 39s
33L 14s
73L 31s
40L 17s
47L 20s
7L 3s
44L 19s
37L 16s
67L 29s
30L 13s
83L 36s
53L 23s
76L 33s
23L 10s
85L 37s
62L 27s
101L 44s
39L 17s
94L 41s
55L 24s
71L 31s
16L 7s
73L 32s
57L 25s
98L 43s
41L 18s
107L 47s
66L 29s
91L 40s
25L 11s
84L 37s
59L 26s
93L 41s
34L 15s
77L 34s
43L 19s
52L 23s
9L 4s
47L 21s
38L 17s
67L 30s
29L 13s
78L 35s
49L 22s
69L 31s
20L 9s
71L 32s
51L 23s
82L 37s
31L 14s
73L 33s
42L 19s
53L 24s
11L 5s
46L 21s
35L 16s
59L 27s
24L 11s
71L 28s
37L 17s
43L 23s
13L 6s
41L 19s
28L 13s
43L 20s
15L 7s
32L 15s
17L 8s
19L 9s
2L 1s
19L 10s
17L 9s
32L 17s
15L 8s
43L 23s
28L 15s
41L 22s
13L 7s
50L 27s
37L 20s
61L 33s
24L 13s
59L 32s
35L 19s
46L 17s
11L 6s
53L 29s
42L 23s
73L 40s
31L 17s
82L 45s
51L 28s
71L 39s
20L 11s
69L 38s
49L 27s
78L 43s
29L 16s
67L 37s
38L 21s
47L 26s
9L 5s
52L 29s
43L 24s
77L 43s
34L 19s
93L 52s
59L 33s
84L 47s
25L 14s
91L 51s
66L 37s
107L 60s
41L 23s
98L 55s
57L 32s
73L 41s
16L 9s
71L 40s
55L 31s
94L 53s
39L 22s
101L 57s
62L 35s
85L 48s
23L 13s
76L 43s
53L 30s
83L 47s
30L 17s
67L 38s
37L 21s
44L 25s
7L 4s
47L 27s
40L 23s
73L 42s
33L 19s
92L 53s
59L 34s
85L 49s
26L 15s
97L 56s
71L 41s
116L 67s
45L 26s
109L 63s
64L 37s
83L 48s
19L 11s
88L 51s
69L 40s
119L 69s
50L 29s
131L 76s
81L 47s
112L 65s
31L 18s
105L 71s
74L 43s
117L 68s
43L 25s
98L 57s
55L 32s
67L 39s
12L 7s
65L 38s
53L 31s
94L 55s
41L 24s
111L 65s
70L 41s
99L 58s
29L 17s
104L 61s
75L 44s
121L 71s
46L 27s
109L 64s
63L 37s
80L 47s
17L 10s
73L 43s
56L 33s
95L 56s
39L 23s
100L 59s
61L 36s
83L 49s
22L 13s
71L 42s
49L 29s
76L 45s
27L 16s
59L 35s
32L 19s
37L 22s
5L 3s
38L 23s
33L 20s
61L 37s
28L 17s
79L 48s
51L 31s
74L 45s
23L 14s
87L 53s
64L 39s
105L 64s
41L 25s
100L 61s
59L 36s
77L 47s
18L 11s
85L 52s
67L 41s
116L 71s
49L 30s
129L 79s
80L 49s
111L 68s
31L 19s
106L 65s
75L 46s
119L 73s
44L 27s
101L 62s
57L 35s
70L 43s
13L 8s
73L 45s
60L 37s
107L 66s
47L 29s
128L 79s
81L 50s
115L 71s
34L 21s
123L 76s
89L 55s
144L 89s
55L 34s
131L 81s
76L 47s
97L 60s
21L 13s
92L 57s
71L 44s
121L 75s
50L 31s
129L 80s
79L 49s
108L 67s
29L 18s
95L 59s
66L 41s
103L 64s
37L 23s
82L 51s
45L 28s
53L 33s
8L 5s
51L 32s
43L 27s
78L 49s
35L 22s
97L 61s
62L 39s
89L 56s
27L 17s
100L 63s
73L 46s
119L 75s
46L 29s
111L 70s
65L 41s
84L 53s
19L 12s
87L 55s
68L 43s
117L 74s
49L 31s
128L 81s
79L 50s
109L 69s
30L 19s
101L 64s
71L 45s
112L 71s
41L 26s
93L 59s
52L 33s
63L 40s
11L 7s
58L 37s
47L 30s
83L 53s
36L 23s
97L 62s
61L 39s
86L 55s
25L 16s
89L 57s
64L 41s
103L 66s
39L 25s
92L 69s
53L 34s
14L 9s
59L 38s
45L 29s
76L 49s
31L 20s
79L 51s
48L 31s
65L 42s
17L 11s
54L 35s
37L 24s
57L 35s
20L 13s
43L 28s
23L 15s
26L 17s
3L 2s
25L 17s
22L 15s
41L 28s
19L 13s
54L 37s
35L 24s
51L 35s
16L 11s
61L 42s
45L 31s
74L 51s
29L 20s
71L 49s
42L 29s
55L 38s
13L 9s
62L 43s
49L 34s
85L 59s
36L 25s
95L 66s
59L 41s
82L 57s
23L 16s
79L 55s
56L 39s
89L 62s
33L 23s
76L 53s
43L 30s
53L 37s
10L 7s
57L 40s
47L 33s
84L 59s
37L 26s
101L 71s
64L 45s
91L 64s
27L 19s
98L 69s
71L 50s
115L 81s
44L 31s
105L 74s
61L 43s
78L 55s
17L 12s
75L 53s
58L 41s
99L 70s
41L 29s
106L 75s
65L 46s
89L 63s
24L 17s
79L 56s
55L 39s
86L 61s
31L 22s
69L 49s
38L 27s
45L 32s
7L 5s
46L 33s
39L 28s
71L 51s
32L 23s
89L 64s
57L 41s
82L 59s
25L 18s
93L 67s
68L 49s
111L 80s
43L 31s
104L 75s
61L 44s
79L 57s
18L 13s
83L 60s
65L 47s
112L 81s
47L 34s
123L 89s
76L 55s
105L 76s
29L 21s
98L 71s
69L 50s
109L 79s
40L 29s
91L 64s
51L 37s
62L 45s
11L 8s
59L 43s
48L 35s
85L 62s
37L 27s
100L 73s
63L 46s
89L 65s
26L 19s
93L 68s
67L 49s
108L 79s
41L 30s
97L 71s
56L 41s
15L 11s
49L 36s
34L 25s
53L 39s
19L 14s
42L 31s
23L 17s
27L 20s
4L 3s
29L 22s
25L 19s
46L 35s
21L 16s
59L 45s
38L 29s
55L 42s
17L 13s
64L 49s
47L 36s
77L 59s
30L 23s
73L 56s
43L 33s
56L 43s
13L 10s
61L 47s
48L 37s
83L 64s
35L 27s
92L 71s
57L 44s
79L 61s
22L 17s
75L 58s
53L 41s
84L 65s
31L 24s
71L 55s
40L 31s
49L 38s
9L 7s
50L 39s
41L 32s
73L 57s
32L 25s
87L 68s
55L 43s
78L 61s
23L 18s
83L 65s
60L 47s
97L 76s
37L 29s
88L 69s
51L 40s
65L 51s
14L 11s
61L 48s
47L 37s
80L 63s
33L 26s
85L 67s
52L 41s
71L 56s
19L 15s
62L 49s
43L 34s
67L 53s
24L 19s
53L 42s
29L 23s
34L 27s
5L 4s
31L 25s
26L 21s
47L 38s
21L 17s
58L 47s
37L 30s
53L 43s
16L 13s
59L 48s
43L 35s
70L 57s
27L 22s
65L 53s
38L 31s
49L 40s
11L 9s
50L 41s
39L 32s
67L 55s
28L 23s
73L 60s
45L 37s
62L 51s
17L 14s
57L 47s
40L 33s
63L 52s
23L 19s
52L 43s
29L 24s
35L 29s
6L 5s
31L 26s
25L 21s
44L 37s
19L 16s
51L 43s
32L 27s
45L 38s
13L 11s
46L 39s
33L 28s
53L 45s
20L 17s
47L 40s
27L 23s
34L 29s
7L 6s
29L 25s
22L 19s
37L 32s
15L 13s
38L 33s
23L 20s
31L 27s
8L 7s
25L 22s
17L 15s
26L 23s
9L 8s
19L 17s
10L 9s
11L 10s
1L 1s