A 41-limit, 311 note epimorphic scale

I obtained this scale by multiplying the 7-limit diamond by the
41-limit diamond, reducing to the octave, sorting according to 311,
and then choosing the smallest Tenney height. This left me with
nothing to represent a single step, but going to the 9-limit diamond
times the 41 limit diamond does that, giving 280/279. Below I give a
temperament based on going around by steps of 181 on this scale,
giving a fifth a little flat from pure. Then the full 311 note scale.

! qmean.scl
41 limit quasi-meantone detempered from 181/311 fifth
12
!
33/31
28/25
31/26
49/39
123/92
38/27
184/123
51/32
52/31
25/14
62/33
2

! sc311_41
A 311 note 41-limit epimorphic JI scale
311
!
280/279
175/174
125/124
100/99
82/81
70/69
63/62
55/54
49/48
45/44
40/39
37/36
34/33
32/31
30/29
28/27
27/26
25/24
24/23
23/22
22/21
21/20
20/19
19/18
37/35
18/17
17/16
33/31
16/15
31/29
15/14
29/27
14/13
41/38
27/25
13/12
25/23
37/34
12/11
35/32
23/21
45/41
11/10
32/29
21/19
31/28
10/9
49/44
29/26
19/17
28/25
46/41
9/8
35/31
26/23
17/15
25/22
33/29
57/50
8/7
55/48
31/27
23/20
15/13
37/32
22/19
29/25
57/49
7/6
76/65
34/29
27/23
20/17
33/28
13/11
32/27
19/16
25/21
31/26
49/41
91/76
6/5
65/54
35/29
29/24
23/19
17/14
28/23
39/32
11/9
38/31
27/22
16/13
37/30
21/17
26/21
31/25
46/37
81/65
5/4
114/91
49/39
34/27
29/23
24/19
19/15
33/26
14/11
37/29
23/18
32/25
77/60
9/7
40/31
31/24
22/17
48/37
13/10
30/23
17/13
38/29
21/16
25/19
29/22
33/25
45/34
65/49
93/70
4/3
123/92
75/56
51/38
35/26
31/23
27/20
23/17
19/14
34/25
15/11
41/30
26/19
48/35
11/8
40/29
29/21
18/13
25/18
32/23
39/28
81/58
7/5
80/57
38/27
31/22
24/17
17/12
44/31
27/19
57/40
10/7
63/44
33/23
23/16
36/25
13/9
42/29
29/20
16/11
35/24
19/13
41/28
22/15
25/17
28/19
31/21
37/25
46/31
52/35
76/51
112/75
184/123
3/2
140/93
95/63
68/45
50/33
41/27
35/23
32/21
29/19
26/17
23/15
20/13
37/24
17/11
48/31
31/20
14/9
81/52
25/16
36/23
58/37
11/7
41/26
30/19
19/12
46/29
27/17
51/32
91/57
8/5
77/48
37/23
29/18
21/13
34/21
60/37
13/8
44/27
31/19
18/11
41/25
23/14
28/17
33/20
48/29
58/35
93/56
5/3
147/88
77/46
52/31
37/22
32/19
27/16
22/13
39/23
17/10
46/27
29/17
65/38
12/7
55/32
31/18
19/11
45/26
26/15
33/19
54/31
96/55
7/4
100/57
51/29
37/21
30/17
23/13
39/22
16/9
41/23
25/14
34/19
52/29
88/49
9/5
56/31
38/21
29/16
20/11
51/28
31/17
64/35
11/6
57/31
35/19
24/13
37/20
63/34
13/7
41/22
28/15
58/31
15/8
62/33
32/17
17/9
70/37
36/19
19/10
40/21
21/11
44/23
23/12
25/13
52/27
27/14
29/15
31/16
33/17
37/19
39/20
45/23
49/25
55/28
63/32
69/35
81/41
99/50
135/68
189/95
279/140
2