There are many conceivable ways to map 39edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
Although not as imbalanced as the diatonic scale for 37edo (step ratio 7:1), the diatonic scale for 39edo is still fairly imbalanced (step ratio 7:2).
6
13
8
15
22
29
36
3
10
17
24
31
38
6
13
5
12
19
26
33
1
8
15
22
29
36
0
7
14
21
28
35
3
10
17
24
31
38
6
13
2
9
16
23
30
37
5
12
19
26
33
1
8
15
22
29
36
36
4
11
18
25
32
0
7
14
21
28
35
3
10
17
24
31
38
6
13
38
6
13
20
27
34
2
9
16
23
30
37
5
12
19
26
33
1
8
15
22
29
36
33
1
8
15
22
29
36
4
11
18
25
32
0
7
14
21
28
35
3
10
17
24
31
38
6
13
3
10
17
24
31
38
6
13
20
27
34
2
9
16
23
30
37
5
12
19
26
33
1
8
15
22
29
36
19
26
33
1
8
15
22
29
36
4
11
18
25
32
0
7
14
21
28
35
3
10
17
24
31
38
3
10
17
24
31
38
6
13
20
27
34
2
9
16
23
30
37
5
12
19
26
33
1
19
26
33
1
8
15
22
29
36
4
11
18
25
32
0
7
14
21
28
35
3
10
17
24
31
38
6
13
20
27
34
2
9
16
23
30
37
19
26
33
1
8
15
22
29
36
4
11
18
25
32
3
10
17
24
31
38
6
13
20
27
34
19
26
33
1
8
15
22
29
3
10
17
24
31
19
26
Augmented + Immunity
Bryan Deister has used a Porcupine-inspired layout for 39edo, as demonstrated in 39edo jam (2025). To take advantage of the fact that 39edo is at the intersection of Augmented and Immunity, the rightward generator is 5\39, half of a 6/5 minor third as 12/11 ~ 11/10 (but much closer to 12/11). This enables a MODMOS derived from 1L 6s by shrinking the large step from 9\39 to 8\39 and expanding one of the small steps from 5\39 to 6\39, to enable chords such as 12/11 (somewhat sharp, at 5\39) - 6/5 (slightly flat, at 10\39) - 11/8 (near-just, at 18\39) - 3/2 (mildly sharp, 23\39) - 18/11 (moderately sharp, at 28\39) - 9/5 (near-just, at 33\39). Playing this chord uses almost the same geometry of depressed keys as that for playing a diatonic scale in a diatonic mapping (but has a very different sound effect), save when proceeding to the next octave. The range is slightly over 6 octaves overall (which slant moderately downwards), but with the first and last octaves missing some notes due to clipping in the upper left and lower right corners of the layout.
34
0
3
8
13
18
23
6
11
16
21
26
31
36
2
14
19
24
29
34
0
5
10
15
20
25
17
22
27
32
37
3
8
13
18
23
28
33
38
4
25
30
35
1
6
11
16
21
26
31
36
2
7
12
17
22
27
28
33
38
4
9
14
19
24
29
34
0
5
10
15
20
25
30
35
1
6
36
2
7
12
17
22
27
32
37
3
8
13
18
23
28
33
38
4
9
14
19
24
29
0
5
10
15
20
25
30
35
1
6
11
16
21
26
31
36
2
7
12
17
22
27
32
37
3
8
13
18
23
28
33
38
4
9
14
19
24
29
34
0
5
10
15
20
25
30
35
1
6
11
16
21
26
31
31
36
2
7
12
17
22
27
32
37
3
8
13
18
23
28
33
38
4
9
14
19
24
29
34
0
15
20
25
30
35
1
6
11
16
21
26
31
36
2
7
12
17
22
27
32
37
3
8
33
38
4
9
14
19
24
29
34
0
5
10
15
20
25
30
35
1
6
11
17
22
27
32
37
3
8
13
18
23
28
33
38
4
9
14
19
35
1
6
11
16
21
26
31
36
2
7
12
17
22
19
24
29
34
0
5
10
15
20
25
30
37
3
8
13
18
23
28
33
21
26
31
36
2
0
5
Triforce
Since it is its optimal patent val, the triforce mapping is also a particularly good way to organise the intervals of 39edo.
0
8
5
13
21
29
37
2
10
18
26
34
3
11
19
7
15
23
31
0
8
16
24
32
1
9
4
12
20
28
36
5
13
21
29
37
6
14
22
30
9
17
25
33
2
10
18
26
34
3
11
19
27
35
4
12
20
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
11
19
27
35
4
12
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
23
31
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
11
19
27
35
4
12
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
3
11
19
27
35
4
12
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
23
31
0
8
32
1
9
17
25
33
2
10
18
26
34
3
11
19
27
35
4
12
20
28
36
5
13
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
4
12
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
25
33
2
10
18
26
34
3
11
19
27
35
4
12
15
23
31
0
8
16
24
32
1
9
17
36
5
13
21
29
37
6
14
26
34
3
11
19
8
16
Amity
The Lumatone mapping for Amity is also above average at putting good intervals close together, and makes chromatic runs much easier than the previous two layouts.
0
6
5
11
17
23
29
4
10
16
22
28
34
1
7
9
15
21
27
33
0
6
12
18
24
30
8
14
20
26
32
38
5
11
17
23
29
35
2
8
13
19
25
31
37
4
10
16
22
28
34
1
7
13
19
25
31
12
18
24
30
36
3
9
15
21
27
33
0
6
12
18
24
30
36
3
9
17
23
29
35
2
8
14
20
26
32
38
5
11
17
23
29
35
2
8
14
20
26
32
16
22
28
34
1
7
13
19
25
31
37
4
10
16
22
28
34
1
7
13
19
25
31
37
4
10
27
33
0
6
12
18
24
30
36
3
9
15
21
27
33
0
6
12
18
24
30
36
3
9
15
21
27
33
5
11
17
23
29
35
2
8
14
20
26
32
38
5
11
17
23
29
35
2
8
14
20
26
32
38
28
34
1
7
13
19
25
31
37
4
10
16
22
28
34
1
7
13
19
25
31
37
4
6
12
18
24
30
36
3
9
15
21
27
33
0
6
12
18
24
30
36
3
29
35
2
8
14
20
26
32
38
5
11
17
23
29
35
2
8
7
13
19
25
31
37
4
10
16
22
28
34
1
7
30
36
3
9
15
21
27
33
0
6
12
8
14
20
26
32
38
5
11
31
37
4
10
16
9
15
Semiquartal (Immunity)
The Immunity mapping gives excellent range, but the resulting 5L 4s scale has a 7:1 step ratio, which makes it very lopsided.
21
29
28
36
5
13
21
27
35
4
12
20
28
36
5
34
3
11
19
27
35
4
12
20
28
36
33
2
10
18
26
34
3
11
19
27
35
4
12
20
1
9
17
25
33
2
10
18
26
34
3
11
19
27
35
4
12
0
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
11
19
27
35
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
11
19
27
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
11
21
29
37
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
18
26
34
3
5
13
21
29
37
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
25
33
2
10
36
5
13
21
29
37
6
14
22
30
38
7
15
23
31
0
8
16
24
32
1
9
17
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
23
31
0
8
16
12
20
28
36
5
13
21
29
37
6
14
22
30
38
7
15
23
35
4
12
20
28
36
5
13
21
29
37
6
14
22
27
35
4
12
20
28
36
5
13
21
29
11
19
27
35
4
12
20
28
3
11
19
27
35
26
34
