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♯
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
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