Lumatone mapping for 22edo

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There are many conceivable ways to map 22edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

This is "Preset 5 — 22-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 6 — 22-EDO Bosanquet" in version 1.21.

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
17
21
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
11
15
19
1
5
9
13
17
21
18
0
4
8
12
16
20
2
6
10
14
18
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
17
21
3
7
11
15
19
1
5
9
13
17
21
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
3
7
11
15
19
1
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
20
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
10
14
18
0
4
8
12
16
20
2
6
10
14
18
1
5
9
13
17
21
3
7
11
15
19
10
14
18
0
4
8
12
16
1
5
9
13
17
10
14


Keep in mind that, since 22edo is a superpyth temperament, 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 (C → D) and then going up to 7 (D → D♯).

Porcupine

If you want 5-limit intervals to be accessible in a more intuitive way, the 1L 6s mapping for Porcupine may be preferable. You can see this layout demonstrated in Bryan Deister's a bossa nova in 22edo (2025).

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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11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
2
5
8
11
14
17
20
1
4
7
10
13
16
19
15
18
21
2
5
8
11
14
17
20
1
3
6
9
12
15
18
21
2
16
19
0
3
6
4
7


The expanded 7L 1s mapping is also another option, though it has slightly less range.

3
6
4
7
10
13
16
2
5
8
11
14
17
20
1
3
6
9
12
15
18
21
2
5
8
11
1
4
7
10
13
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19
0
3
6
9
12
15
18
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
0
3
6
9
12
15
18
21
2
5
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11
14
17
20
1
4
7
10
13
1
4
7
10
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16
19
0
3
6
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18
21
2
5
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11
14
17
20
1
21
2
5
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11
14
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20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
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15
18
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
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14
17
10
13
16
19
0
3
6
9
12
15
18
17
20
1
4
7
10
13
16
5
8
11
14
17
12
15

Magic

If you want to maximise playable range, the magic mapping is the widest one that still covers the full gamut, with the two most compressed MOSes spanning between 8 and 11 octaves. Though, the resulting 3L 1s MOS has a 7:1 step ratio, making it very lopsided.

Compressed

15
0
16
1
8
15
0
10
17
2
9
16
1
8
15
11
18
3
10
17
2
9
16
1
8
15
5
12
19
4
11
18
3
10
17
2
9
16
1
8
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
0
7
14
21
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13
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5
12
19
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18
3
10
17
2
9
16
1
1
8
15
0
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14
21
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13
20
5
12
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18
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17
2
9
16
1
17
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1
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13
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5
12
19
4
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2
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5
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19
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17
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1
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21
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13
20
5
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19
4
11
18
3
10
17
18
3
10
17
2
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16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
4
11
18
3
10
17
2
9
16
1
8
15
0
7
4
11
18
3
10
17
2
9
16
1
8
19
4
11
18
3
10
17
2
19
4
11
18
3
12
19

Extra-compressed

13
20
21
6
13
20
5
0
7
14
21
6
13
20
5
8
15
0
7
14
21
6
13
20
5
12
9
16
1
8
15
0
7
14
21
6
13
20
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
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
12
19
4
11
18
3
10
17
2
9
16
1
8
15
19
4
11
18
3
10
17
2
9
16
1
19
4
11
18
3
10
17
2
4
11
18
3
10
4
11

Orwell

The Orwell mapping also gives excellent range, covering just over six full octaves using the 4L 1s MOS and making it easy to play both 5-limit minor and major and 7-limit subminor and supermajor chords.

3
8
5
10
15
20
3
2
7
12
17
0
5
10
15
4
9
14
19
2
7
12
17
0
5
10
1
6
11
16
21
4
9
14
19
2
7
12
17
0
3
8
13
18
1
6
11
16
21
4
9
14
19
2
7
12
17
0
5
10
15
20
3
8
13
18
1
6
11
16
21
4
9
14
19
2
7
2
7
12
17
0
5
10
15
20
3
8
13
18
1
6
11
16
21
4
9
14
19
2
21
4
9
14
19
2
7
12
17
0
5
10
15
20
3
8
13
18
1
6
11
16
21
4
9
14
6
11
16
21
4
9
14
19
2
7
12
17
0
5
10
15
20
3
8
13
18
1
6
11
16
21
4
9
18
1
6
11
16
21
4
9
14
19
2
7
12
17
0
5
10
15
20
3
8
13
18
1
6
11
13
18
1
6
11
16
21
4
9
14
19
2
7
12
17
0
5
10
15
20
3
8
13
3
8
13
18
1
6
11
16
21
4
9
14
19
2
7
12
17
0
5
10
20
3
8
13
18
1
6
11
16
21
4
9
14
19
2
7
12
10
15
20
3
8
13
18
1
6
11
16
21
4
9
5
10
15
20
3
8
13
18
1
6
11
17
0
5
10
15
20
3
8
12
17
0
5
10
2
7


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