There are many conceivable ways to map 22edo onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. This is "Preset 5 — 22-ET Bosanquet" in the official Lumatone manual.
4
8
5
9
13
17
21
2
6
10
14
18
0
4
8
3
7
11
15
19
1
5
9
13
17
21
0
4
8
12
16
20
2
6
10
14
18
0
4
8
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
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20
2
6
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
21
3
7
11
15
19
1
5
9
13
17
21
3
7
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15
19
1
5
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18
0
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20
2
6
10
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18
0
4
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6
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0
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8
1
5
9
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17
21
3
7
11
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19
1
5
9
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7
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15
19
1
5
9
13
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21
10
14
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0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
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2
6
10
14
18
0
1
5
9
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17
21
3
7
11
15
19
1
5
9
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17
21
3
7
11
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19
1
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
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20
1
5
9
13
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21
3
7
11
15
19
1
5
9
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14
18
0
4
8
12
16
20
2
6
10
14
18
1
5
9
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7
11
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19
10
14
18
0
4
8
12
16
1
5
9
13
17
10
14
Keep in mind that 22edo is a superpyth temperament, so 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 (e.g. C->D) and then going up to 7 (D->D). If you want 5-limit intervals to be accessible in a more intuitive way, the porcupine mapping may be preferable.
7
10
11
14
17
20
1
12
15
18
21
2
5
8
11
16
19
0
3
6
9
12
15
18
21
2
17
20
1
4
7
10
13
16
19
0
3
6
9
12
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
5
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17
20
1
4
7
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16
19
0
3
6
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21
2
5
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21
2
5
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1
4
7
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19
0
3
6
9
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18
21
2
5
0
3
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20
1
4
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0
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0
3
6
9
12
15
18
21
2
5
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20
1
4
7
10
13
1
4
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10
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16
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0
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6
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21
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5
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20
1
4
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0
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5
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20
1
4
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21
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5
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20
1
3
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9
12
15
18
21
2
16
19
0
3
6
4
7
If you want to maximise playable range, the magic mapping is the widest one that still covers the full gamut, spanning 11 octaves in its most compressed MOS.
13
20
21
6
13
20
5
0
7
14
21
6
13
20
5
8
15
0
7
14
21
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13
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5
12
9
16
1
8
15
0
7
14
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6
13
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5
12
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
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4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
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5
12
19
4
5
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19
4
11
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3
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17
2
9
16
1
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0
7
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5
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19
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11
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3
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9
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1
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0
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20
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12
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4
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12
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1
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15
0
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21
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13
20
5
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12
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11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
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5
5
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4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
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12
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18
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10
17
2
9
16
1
8
15
0
7
14
12
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11
18
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10
17
2
9
16
1
8
15
19
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11
18
3
10
17
2
9
16
1
19
4
11
18
3
10
17
2
4
11
18
3
10
4
11
