Lumatone mapping for Bohlen–Pierce: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
[ | 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{{sharp}} = D{{flat}} 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 mapping| | {{Lumatone mapping| | ||
| Line 209: | 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}} | |||
}} | }} | ||
The corresponding mapping of the equal temperament is this. Unlike the above mapping C{{sharp}} and D{{flat}} 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]] | ||
Revision as of 21:58, 25 April 2021
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.
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.
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