Testing
Scratchwork
The following tables show how 15-odd-limit intervals are represented in 5edo. Prime harmonics are in bold; inconsistent intervals are in italics.
15-odd-limit intervals in 5edo (direct approximation, even if inconsistent)
| Interval and complement |
Error (abs, ¢) |
Error (rel, %)
|
| 1/1, 2/1 |
0.000 |
0.0
|
| 15/13, 26/15 |
7.741 |
3.2
|
| 7/4, 8/7 |
8.826 |
3.7
|
| 3/2, 4/3 |
18.045 |
7.5
|
| 13/10, 20/13 |
25.786 |
10.7
|
| 7/6, 12/7 |
26.871 |
11.2
|
| 9/8, 16/9 |
36.090 |
15.0
|
| 9/7, 14/9 |
44.916 |
18.7
|
| 13/11, 22/13 |
49.210 |
20.5
|
| 15/11, 22/15 |
56.951 |
23.7
|
| 9/5, 10/9 |
57.596 |
24.0
|
| 11/7, 14/11 |
62.492 |
26.0
|
| 11/8, 16/11 |
71.318 |
29.7
|
| 11/10, 20/11 |
74.996 |
31.2
|
| 5/3, 6/5 |
75.641 |
31.5
|
| 13/9, 18/13 |
83.382 |
34.7
|
| 11/6, 12/11 |
89.363 |
37.2
|
| 5/4, 8/5 |
93.686 |
39.0
|
| 13/12, 24/13 |
101.427 |
42.3
|
| 7/5, 10/7 |
102.512 |
42.7
|
| 11/9, 18/11 |
107.408 |
44.8
|
| 13/7, 14/13 |
111.702 |
46.5
|
| 15/8, 16/15 |
111.731 |
46.6
|
| 15/14, 28/15 |
119.443 |
49.8
|
| 13/8, 16/13 |
119.472 |
49.8
|
15-odd-limit intervals in 5edo (patent val mapping)
| Interval and complement |
Error (abs, ¢) |
Error (rel, %)
|
| 1/1, 2/1 |
0.000 |
0.0
|
| 15/13, 26/15 |
7.741 |
3.2
|
| 7/4, 8/7 |
8.826 |
3.7
|
| 3/2, 4/3 |
18.045 |
7.5
|
| 13/10, 20/13 |
25.786 |
10.7
|
| 7/6, 12/7 |
26.871 |
11.2
|
| 9/8, 16/9 |
36.090 |
15.0
|
| 9/7, 14/9 |
44.916 |
18.7
|
| 9/5, 10/9 |
57.596 |
24.0
|
| 11/7, 14/11 |
62.492 |
26.0
|
| 11/8, 16/11 |
71.318 |
29.7
|
| 5/3, 6/5 |
75.641 |
31.5
|
| 13/9, 18/13 |
83.382 |
34.7
|
| 11/6, 12/11 |
89.363 |
37.2
|
| 5/4, 8/5 |
93.686 |
39.0
|
| 13/12, 24/13 |
101.427 |
42.3
|
| 7/5, 10/7 |
102.512 |
42.7
|
| 11/9, 18/11 |
107.408 |
44.8
|
| 15/8, 16/15 |
111.731 |
46.6
|
| 13/8, 16/13 |
119.472 |
49.8
|
| 15/14, 28/15 |
120.557 |
50.2
|
| 13/7, 14/13 |
128.298 |
53.5
|
| 11/10, 20/11 |
165.004 |
68.8
|
| 15/11, 22/15 |
183.049 |
76.3
|
| 13/11, 22/13 |
190.790 |
79.5
|