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](/images/thumb/e/e0/Lumatone.svg/984px-Lumatone.svg.png)
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
J
B
D
F
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
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
J
B
D
F
F
H
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](/images/thumb/e/e0/Lumatone.svg/984px-Lumatone.svg.png)
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
12
2
5
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
2
5
8
11
1
4
7
10
0
3
6
9
12
2
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
3
6
9
12
2
10
0