Lumatone mapping for Bohlen–Pierce

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The following mapping of Bohlen–Pierce temperament to the Lumatone keyboard has these desirable properties:

  • It is a mapping of the full rank-2 temperament, not just the equal temperament 13ed3. In other words, C♯ = D♭ enharmony is not assumed.
  • Its range is over 6 full tritaves.
  • Modulation into quite distant keys is possible.
  • The BP diatonic modes ("Lambda" and so on) have a pleasing zigzag shape on the keyboard.
Lumatone.svg
B
D
A
C
E
G
J
B
D
B
D
F
H
A
C
E
G
J
B
D
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
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B
D
F
D
F
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A
C
E
G
J
B
D
F
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A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
H
A
C
E
A
C
E
G
J
B
D
F
H
A
C
E
G
J
B
D
F
F
H
A
C
E
G
J
B
D
F
H
A
C
E
F
H
A
C
E
G
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B
D
F
F
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A
C
E
F


The corresponding mapping of the equal temperament is this. Unlike the above mapping C♯ and D♭ are equivalent here.

Lumatone.svg
0
3
1
4
7
10
0
12
2
5
8
11
1
4
7
0
3
6
9
12
2
5
8
11
1
4
11
1
4
7
10
0
3
6
9
12
2
5
8
11
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
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2
5
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1
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2
12
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5
8
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1
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7
10
0
3
6
9
12
2
5
8
11
1
3
6
9
12
2
10
0
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