Standard Lumatone mapping for Pythagorean: Difference between revisions

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{{Lumatone key|x=26|y=7|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=26|y=7|label=F{{sharp2}}{{sharp2}}}}


{{Lumatone key|x=4|y=8|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=6px}}
{{Lumatone key|x=4|y=8|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=5|y=8|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=5|y=8|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=6|y=8|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=6|y=8|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=29|y=8|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=29|y=8|label=B{{sharp2}}{{sharp}}}}


{{Lumatone key|x=8|y=9|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=9|y=9|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=9|y=9|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=10|y=9|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=10|y=9|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=33|y=9|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=33|y=9|label=F{{sharp2}}{{sharp2}}}}


{{Lumatone key|x=11|y=10|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=6px}}
{{Lumatone key|x=11|y=10|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=12|y=10|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=12|y=10|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=13|y=10|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=13|y=10|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=34|y=10|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=34|y=10|label=G{{sharp2}}{{sharp}}}}


{{Lumatone key|x=15|y=11|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=16|y=11|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=16|y=11|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=17|y=11|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=17|y=11|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=35|y=11|label=A{{sharp2}}}}
{{Lumatone key|x=35|y=11|label=A{{sharp2}}}}


{{Lumatone key|x=18|y=12|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=6px}}
{{Lumatone key|x=18|y=12|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=19|y=12|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=19|y=12|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=20|y=12|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=20|y=12|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=35|y=12|label=A{{sharp}}}}
{{Lumatone key|x=35|y=12|label=A{{sharp}}}}


{{Lumatone key|x=22|y=13|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=23|y=13|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=23|y=13|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=24|y=13|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=24|y=13|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=36|y=13|label=B}}
{{Lumatone key|x=36|y=13|label=B}}


{{Lumatone key|x=25|y=14|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=6px}}
{{Lumatone key|x=25|y=14|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=26|y=14|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=26|y=14|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=27|y=14|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=27|y=14|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=36|y=14|label=B{{flat}}}}
{{Lumatone key|x=36|y=14|label=B{{flat}}}}


{{Lumatone key|x=29|y=15|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=30|y=15|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=30|y=15|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=31|y=15|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=31|y=15|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=37|y=15|label=C{{flat}}}}
{{Lumatone key|x=37|y=15|label=C{{flat}}}}


{{Lumatone key|x=32|y=16|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=6px}}
{{Lumatone key|x=32|y=16|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=33|y=16|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=33|y=16|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=34|y=16|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=34|y=16|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
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{{Lumatone key|x=36|y=16|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=36|y=16|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=37|y=16|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=37|y=16|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=36|y=17|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=37|y=17|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=38|y=17|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
}}
}}



Revision as of 22:35, 24 March 2022

The standard Lumatone mapping for Pythagorean-like scale systems has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there. The whole tone goes right-and-slightly-up and the diatonic semitone goes right-and-down, which implies that the apotome (the amount by which / alter pitches) goes up-and-slightly-right.

The name for this general kind of mapping is the Bosanquet-Wilson layout.

This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes Pythagorean, meantone, superpyth, helmholtz, etc.


A
B
B
C
D
E
F
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
C
D
E
F
G
A
B
C
D
E
F
G
A
B
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
E
F
G
A
B
C
D
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F
G
A
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C
D
E
F
G
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C
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F
G
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C
D
E
F
G
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C
D
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F
G
A
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C
D
E
F
G
A
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
B
C
D
E
F
G
A
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E
F
G
A
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C
D
E
F
G
A
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B
C
D
E
F
G
A
B
C
E
F
G
A
B
C
B
C
D

Not all notes with four or more flats are shown here; they follow the obvious pattern.