The following mapping for 13edo can be used for every MOS scale in 13edo with L = 2\13 and s = 1\13, such as 5L 3s and 6L 1s.
0
2
1
3
5
7
9
0
2
4
6
8
10
12
1
1
3
5
7
9
11
0
2
4
6
8
0
2
4
6
8
10
12
1
3
5
7
9
11
0
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
7
9
11
0
2
4
6
8
10
12
1
3
5
7
9
11
0
2
4
6
1
3
5
7
9
11
0
2
4
6
8
10
12
1
3
5
7
6
8
10
12
1
3
5
7
9
11
0
2
4
6
0
2
4
6
8
10
12
1
3
5
7
5
7
9
11
0
2
4
6
12
1
3
5
7
4
6
Fibotonic (compressed)
Since 13edo is a small edo, you can compress this down to a 2L 1s scale that extends range past human hearing (or more practically, enables division into multiple zones for different instruments) and puts all kinds of intervals within easy reach in different directions while still having a moderate number of repeated notes.
12
4
2
7
12
4
9
0
5
10
2
7
12
4
9
3
8
0
5
10
2
7
12
4
9
1
1
6
11
3
8
0
5
10
2
7
12
4
9
1
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
11
11
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
11
3
11
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
3
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
8
0
5
10
2
7
12
4
9
1
6
11
3
8
0
5
10
2
7
12
4
9
1
6
11
0
5
10
2
7
12
4
9
5
10
2
7
12
5
10
Father + Aurora
Bryan Deister has demonstrated a 3L 2s (3:2 step ratio) Aurora/Father mapping for 13edo, in Holding Back My Endless Sigh - 13edo (2026). The generator 8\13 (three keys right and one key down-right from the root note) can be taken as a very sharp fifth (~3/2, for Father temperament) or a moderately sharp septimal superfifth (~32/21, for Aurora temperament). The range is over seven octaves, with notes repeated multiple times, but unfortunately the downwards slope of the octaves, although mild, would make mapping to multiple manuals tricky.
