There are many conceivable ways to map 46edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
4
12
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15
23
31
39
2
10
18
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34
42
4
12
5
13
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45
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15
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39
0
8
16
24
32
40
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10
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34
42
4
12
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11
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35
43
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13
21
29
37
45
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15
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31
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44
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14
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30
38
0
8
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24
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40
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10
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34
42
4
12
1
9
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33
41
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11
19
27
35
43
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13
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37
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38
0
8
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31
39
1
9
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41
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35
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44
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30
38
0
8
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40
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41
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43
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34
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36
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0
8
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40
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9
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41
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11
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34
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36
44
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38
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1
9
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33
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34
42
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28
36
7
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31
39
26
34
Unfortunately the Leapday diatonic scale makes basic 5-limit minor and major intervals complex, and with this mapping they are awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C–C𝄪♯ or C to C triple sharp).
Rodan
The Rodan mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.
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44
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42
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40
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39
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1
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0
39
2
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38
1
10
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0
9
18
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45
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17
26
1
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28
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0
9
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45
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17
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6
15
0
9
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12
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30
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20
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41
4
13
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31
40
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12
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30
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11
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29
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1
10
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28
37
0
12
21
30
39
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11
20
29
38
1
10
19
28
37
0
9
18
27
36
45
1
10
19
28
37
0
9
18
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36
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35
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7
27
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5
14
42
5
14
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32
41
4
13
31
40
3
12
21
11
20
The expanded mapping fixes this, but now the chroma goes diagonally down, requiring an adjustment of playing style when doing chromatic runs.
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31
40
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41
4
13
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13
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14
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32
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35
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16
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15
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5
14
0
9
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33
1
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9
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9
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9
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17
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Sensi
The Lumatone mapping for sensi is another option that makes 5-limit chords fairly easy to play, although it has a slightly smaller range.
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0
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0
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Amity
The Lumatone mapping for Amity is a good compromise between these, since it provides an even heptatonic scale, making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction.
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2
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8
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0
7
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30
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1
8
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32
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0
7
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9
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37
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8
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7
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37
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8
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36
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0
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42
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31
38
45
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10
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38
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8
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36
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32
39
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7
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28
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42
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31
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13
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2
9
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1
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32
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0
7
14
6
13
Echidnic
The Echidnic mapping does even better than Amity, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
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17
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35
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16
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31
40
3
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30
39
2
0
9
18
27
36
45
8
17
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35
44
7
16
25
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14
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32
41
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13
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31
40
3
12
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30
39
2
11
1
10
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28
37
0
9
18
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36
45
8
17
26
35
44
7
16
25
34
6
15
24
33
42
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14
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32
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22
31
40
3
12
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30
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2
11
20
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29
38
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10
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28
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0
9
18
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36
45
8
17
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35
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16
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15
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5
14
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32
41
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40
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12
21
30
39
2
11
20
29
39
2
11
20
29
38
1
10
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28
37
0
9
18
27
36
45
8
17
26
35
44
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16
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34
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34
43
6
15
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33
42
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32
41
4
13
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31
40
3
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30
39
2
11
20
29
38
1
10
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28
37
0
9
18
27
36
45
8
17
26
35
34
43
6
15
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33
42
5
14
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32
41
4
13
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31
40
11
20
29
38
1
10
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28
37
0
9
18
27
36
43
6
15
24
33
42
5
14
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32
41
20
29
38
1
10
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28
37
6
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33
42
29
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