There are many conceivable ways to map 24edo onto the Lumatone keyboard. However, the Standard Lumatone mapping for Pythagorean is not one of them because there are two mutually-exclusive rings of fifths.
The official Lumatone manual contains a rotated version of a Lumatone mapping for neutral thirds scales as "Preset 6 — 24-ET Isomorphic".
0
4
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11
15
19
2
6
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22
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6
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23
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7
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7
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10
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6
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6
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2
6
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5
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1
5
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5
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1
8
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4
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4
8
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7
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7
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3
2
6
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6
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6
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2
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18
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2
6
17
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1
5
9
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1
5
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1
5
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1
5
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4
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0
4
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0
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0
4
8
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3
7
11
6
10
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2
6
10
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1
5
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1
5
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8
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4
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3
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15
10
14
However, each successive octave is now located substantially lower on the keyboard than the previous one, eventually requiring a jump of hand position where it wraps around to the top again. Inverting the direction of the chroma keeps octaves closer to horizontal, but going down to move pitch upward can seem counterintuitive.
0
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10
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16
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9
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3
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15
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13
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1
4
7
10
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1
14
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8
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14
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2
5
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0
3
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3
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9
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4
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5
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5
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6
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18
21
0
3
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1
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5
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5
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2
0
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2
5
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11
9
12
The semiquartal (5L 4s) layout, which uses 2.5 semitones as the generator, has a wider range, keeps octaves closer to horizontal, makes the diatonic scale relatively easy to play, and naturally puts the chroma in the right direction on the vertical axis, so it may be preferable.
15
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5
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9
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22
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21
2
7
12
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9
14
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11
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9
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9
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7
21
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11
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21
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14
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10
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16
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19
Bryan Deister has used the following layout (as demonstrated in In Your Hands (microtonal 24edo) (alt layout)). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. The generator is half a fifth, making this layout of potential interest for Mohajira. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.
2
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1
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9
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1
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5
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1
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