Lumatone mapping for Bohlen–Pierce: Difference between revisions

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Created page with "[WORK IN PROGRESS] {{Lumatone mapping| {{Lumatone key|x=3|y=6|label=A}} {{Lumatone key|x=4|y=6|label=C}} {{Lumatone key|x=5|y=6|label=E}} {{Lumatone key|x=6|y=6|label=G}} {{L..."
 
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[WORK IN PROGRESS]
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 [[13edt]]. In other words, adjacent accidental notes such as C♯ and D♭ are not assumed to be necessarily equivalent.
* Its range is over 6 full tritaves.
* Modulation into quite distant keys is possible.
* The BP diatonic modes ([[4L 5s (3/1-equivalent)|"Lambda"]] and so on) have an intuitive zigzag shape on the keyboard.


{{Lumatone mapping|
{{Lumatone mapping|
{{Lumatone key|x=1|y=1|label=B{{sharp2}}}}
{{Lumatone key|x=2|y=1|label=D{{sharp2}}}}
{{Lumatone key|x=1|y=2|label=A{{sharp2}}}}
{{Lumatone key|x=2|y=2|label=C{{sharp2}}}}
{{Lumatone key|x=3|y=2|label=E{{sharp2}}}}
{{Lumatone key|x=4|y=2|label=G{{sharp2}}}}
{{Lumatone key|x=5|y=2|label=J{{sharp2}}}}
{{Lumatone key|x=6|y=2|label=B{{sharp2}}}}
{{Lumatone key|x=7|y=2|label=D{{sharp2}}}}
{{Lumatone key|x=2|y=3|label=B{{sharp}}}}
{{Lumatone key|x=3|y=3|label=D{{sharp}}}}
{{Lumatone key|x=4|y=3|label=F{{sharp2}}}}
{{Lumatone key|x=5|y=3|label=H{{sharp2}}}}
{{Lumatone key|x=6|y=3|label=A{{sharp2}}}}
{{Lumatone key|x=7|y=3|label=C{{sharp2}}}}
{{Lumatone key|x=8|y=3|label=E{{sharp2}}}}
{{Lumatone key|x=9|y=3|label=G{{sharp2}}}}
{{Lumatone key|x=10|y=3|label=J{{sharp2}}}}
{{Lumatone key|x=11|y=3|label=B{{sharp2}}}}
{{Lumatone key|x=12|y=3|label=D{{sharp2}}}}
{{Lumatone key|x=2|y=4|label=A{{sharp}}}}
{{Lumatone key|x=3|y=4|label=C{{sharp}}}}
{{Lumatone key|x=4|y=4|label=E{{sharp}}}}
{{Lumatone key|x=5|y=4|label=G{{sharp}}}}
{{Lumatone key|x=6|y=4|label=J{{sharp}}}}
{{Lumatone key|x=7|y=4|label=B{{sharp}}}}
{{Lumatone key|x=8|y=4|label=D{{sharp}}}}
{{Lumatone key|x=9|y=4|label=F{{sharp2}}}}
{{Lumatone key|x=10|y=4|label=H{{sharp2}}}}
{{Lumatone key|x=11|y=4|label=A{{sharp2}}}}
{{Lumatone key|x=12|y=4|label=C{{sharp2}}}}
{{Lumatone key|x=13|y=4|label=E{{sharp2}}}}
{{Lumatone key|x=14|y=4|label=G{{sharp2}}}}
{{Lumatone key|x=15|y=4|label=J{{sharp2}}}}
{{Lumatone key|x=3|y=5|label=B}}
{{Lumatone key|x=4|y=5|label=D}}
{{Lumatone key|x=5|y=5|label=F{{sharp}}}}
{{Lumatone key|x=6|y=5|label=H{{sharp}}}}
{{Lumatone key|x=7|y=5|label=A{{sharp}}}}
{{Lumatone key|x=8|y=5|label=C{{sharp}}}}
{{Lumatone key|x=9|y=5|label=E{{sharp}}}}
{{Lumatone key|x=10|y=5|label=G{{sharp}}}}
{{Lumatone key|x=11|y=5|label=J{{sharp}}}}
{{Lumatone key|x=12|y=5|label=B{{sharp}}}}
{{Lumatone key|x=13|y=5|label=D{{sharp}}}}
{{Lumatone key|x=14|y=5|label=F{{sharp2}}}}
{{Lumatone key|x=15|y=5|label=H{{sharp2}}}}
{{Lumatone key|x=16|y=5|label=A{{sharp2}}}}
{{Lumatone key|x=17|y=5|label=C{{sharp2}}}}
{{Lumatone key|x=18|y=5|label=E{{sharp2}}}}
{{Lumatone key|x=19|y=5|label=G{{sharp2}}}}
{{Lumatone key|x=3|y=6|label=A}}
{{Lumatone key|x=3|y=6|label=A}}
{{Lumatone key|x=4|y=6|label=C}}
{{Lumatone key|x=4|y=6|label=C}}
Line 153: Line 213:
{{Lumatone key|x=34|y=11|label=D}}
{{Lumatone key|x=34|y=11|label=D}}
{{Lumatone key|x=35|y=11|label=F{{sharp}}}}
{{Lumatone key|x=35|y=11|label=F{{sharp}}}}
{{Lumatone key|x=16|y=12|label=C{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=17|y=12|label=E{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=18|y=12|label=G{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=19|y=12|label=J{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=20|y=12|label=B{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=21|y=12|label=D{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=22|y=12|label=F{{flat}}}}
{{Lumatone key|x=23|y=12|label=H{{flat}}}}
{{Lumatone key|x=24|y=12|label=A{{flat}}}}
{{Lumatone key|x=25|y=12|label=C{{flat}}}}
{{Lumatone key|x=26|y=12|label=E{{flat}}}}
{{Lumatone key|x=27|y=12|label=G{{flat}}}}
{{Lumatone key|x=28|y=12|label=J{{flat}}}}
{{Lumatone key|x=29|y=12|label=B{{flat}}}}
{{Lumatone key|x=30|y=12|label=D{{flat}}}}
{{Lumatone key|x=31|y=12|label=F}}
{{Lumatone key|x=32|y=12|label=H}}
{{Lumatone key|x=33|y=12|label=A}}
{{Lumatone key|x=34|y=12|label=C}}
{{Lumatone key|x=35|y=12|label=E}}
{{Lumatone key|x=20|y=13|label=A{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=21|y=13|label=C{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=22|y=13|label=E{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=23|y=13|label=G{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=24|y=13|label=J{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=25|y=13|label=B{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=26|y=13|label=D{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=27|y=13|label=F{{flat}}}}
{{Lumatone key|x=28|y=13|label=H{{flat}}}}
{{Lumatone key|x=29|y=13|label=A{{flat}}}}
{{Lumatone key|x=30|y=13|label=C{{flat}}}}
{{Lumatone key|x=31|y=13|label=E{{flat}}}}
{{Lumatone key|x=32|y=13|label=G{{flat}}}}
{{Lumatone key|x=33|y=13|label=J{{flat}}}}
{{Lumatone key|x=34|y=13|label=B{{flat}}}}
{{Lumatone key|x=35|y=13|label=D{{flat}}}}
{{Lumatone key|x=36|y=13|label=F}}
{{Lumatone key|x=23|y=14|label=F{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=24|y=14|label=H{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=25|y=14|label=A{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=26|y=14|label=C{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=27|y=14|label=E{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=28|y=14|label=G{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=29|y=14|label=J{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=30|y=14|label=B{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=31|y=14|label=D{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=32|y=14|label=F{{flat}}}}
{{Lumatone key|x=33|y=14|label=H{{flat}}}}
{{Lumatone key|x=34|y=14|label=A{{flat}}}}
{{Lumatone key|x=35|y=14|label=C{{flat}}}}
{{Lumatone key|x=36|y=14|label=E{{flat}}}}
{{Lumatone key|x=28|y=15|label=F{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=29|y=15|label=H{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=30|y=15|label=A{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=31|y=15|label=C{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=32|y=15|label=E{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=33|y=15|label=G{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=34|y=15|label=J{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=35|y=15|label=B{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=36|y=15|label=D{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=37|y=15|label=F{{flat}}}}
{{Lumatone key|x=33|y=16|label=F{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=34|y=16|label=H{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=35|y=16|label=A{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=36|y=16|label=C{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=37|y=16|label=E{{flat}}{{flat}}|size=10px}}
{{Lumatone key|x=38|y=17|label=F{{flat}}{{flat}}|size=10px}}
}}
}}
Below is the mapping for 13edt itself. Here, adjacent accidental notes are equivalent here.


{{Lumatone EDO mapping|n=13|xstep=3|ystep=-2|start=0}}
{{Lumatone EDO mapping|n=13|xstep=3|ystep=-2|start=0}}


[[Category:Lumatone mappings]]
[[Category:Lumatone mappings]]

Latest revision as of 13:16, 10 March 2025

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 13edt. In other words, adjacent accidental notes such as C♯ and D♭ are not assumed to be necessarily equivalent.
  • Its range is over 6 full tritaves.
  • Modulation into quite distant keys is possible.
  • The BP diatonic modes ("Lambda" and so on) have an intuitive zigzag shape on the keyboard.
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


Below is the mapping for 13edt itself. Here, adjacent accidental notes are equivalent here.

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
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