There are many conceivable ways to map 28edo onto the onto the Lumatone keyboard. However, it has 4 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.
Whitewood
The Whitewood mapping is perhaps the most diatonic-like mapping that covers all notes.
20
24
23
27
3
7
11
22
26
2
6
10
14
18
22
25
1
5
9
13
17
21
25
1
5
9
24
0
4
8
12
16
20
24
0
4
8
12
16
20
27
3
7
11
15
19
23
27
3
7
11
15
19
23
27
3
7
26
2
6
10
14
18
22
26
2
6
10
14
18
22
26
2
6
10
14
18
1
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
0
4
8
12
16
20
24
0
4
8
12
16
20
24
0
4
8
12
16
20
24
0
4
8
12
16
7
11
15
19
23
27
3
7
11
15
19
23
27
3
7
11
15
19
23
27
3
7
11
15
19
23
27
3
18
22
26
2
6
10
14
18
22
26
2
6
10
14
18
22
26
2
6
10
14
18
22
26
2
6
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
9
16
20
24
0
4
8
12
16
20
24
0
4
8
12
16
20
24
0
4
8
3
7
11
15
19
23
27
3
7
11
15
19
23
27
3
7
11
14
18
22
26
2
6
10
14
18
22
26
2
6
10
1
5
9
13
17
21
25
1
5
9
13
12
16
20
24
0
4
8
12
27
3
7
11
15
10
14
Würschmidt
Since the 5th harmonic is easily the best tuned interval, the Würschmidt mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.
21
2
22
3
12
21
2
14
23
4
13
22
3
12
21
15
24
5
14
23
4
13
22
3
12
21
7
16
25
6
15
24
5
14
23
4
13
22
3
12
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
12
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
4
13
22
3
12
21
2
11
20
1
10
19
0
9
4
13
22
3
12
21
2
11
20
1
10
23
4
13
22
3
12
21
2
23
4
13
22
3
14
23
Bryan Deister's layout (Machine)
Bryan Deister has used a layout for 28edo that was inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 28edo (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~9/8, or near-just 17/15, 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~14/13, 3\28). The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches Machine.
4
9
6
11
16
21
26
3
8
13
18
23
0
5
10
5
10
15
20
25
2
7
12
17
22
27
2
7
12
17
22
27
4
9
14
19
24
1
6
11
4
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
7
12
3
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
8
13
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
21
26
3
8
13
18
23
0
5
10
15
20
25
2
10
15
20
25
2
7
12
17
22
27
4
22
27
4
9
14
19
24
1
11
16
21
26
3
23
0
