Standard Lumatone mapping for Pythagorean: Difference between revisions

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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, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.
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, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.


The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.
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 tuning|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.
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 tuning|Pythagorean]], [[meantone]], [[superpyth]], [[Helmholtz (temperament)|helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.


{{Lumatone mapping|
{{Lumatone mapping|
{{Lumatone key|x=0|y=0|label=A{{sharp2}}{{sharp}}}}
{{Lumatone key|x=0|y=0|label=A𝄪♯}}
{{Lumatone key|x=1|y=0|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=1|y=0|label=B𝄪♯}}


{{Lumatone key|x=1|y=1|label=B{{sharp2}}}}
{{Lumatone key|x=1|y=1|label=B𝄪}}
{{Lumatone key|x=2|y=1|label=C{{sharp2}}{{sharp}}}}
{{Lumatone key|x=2|y=1|label=C𝄪♯}}
{{Lumatone key|x=3|y=1|label=D{{sharp2}}{{sharp}}}}
{{Lumatone key|x=3|y=1|label=D𝄪♯}}
{{Lumatone key|x=4|y=1|label=E{{sharp2}}{{sharp}}}}
{{Lumatone key|x=4|y=1|label=E𝄪♯}}
{{Lumatone key|x=5|y=1|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=5|y=1|label=F𝄪𝄪}}


{{Lumatone key|x=1|y=2|label=B{{sharp}}}}
{{Lumatone key|x=1|y=2|label=B♯}}
{{Lumatone key|x=2|y=2|label=C{{sharp2}}}}
{{Lumatone key|x=2|y=2|label=C𝄪}}
{{Lumatone key|x=3|y=2|label=D{{sharp2}}}}
{{Lumatone key|x=3|y=2|label=D𝄪}}
{{Lumatone key|x=4|y=2|label=E{{sharp2}}}}
{{Lumatone key|x=4|y=2|label=E𝄪}}
{{Lumatone key|x=5|y=2|label=F{{sharp2}}{{sharp}}}}
{{Lumatone key|x=5|y=2|label=F𝄪♯}}
{{Lumatone key|x=6|y=2|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=6|y=2|label=G𝄪♯}}
{{Lumatone key|x=7|y=2|label=A{{sharp2}}{{sharp}}}}
{{Lumatone key|x=7|y=2|label=A𝄪♯}}
{{Lumatone key|x=8|y=2|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=8|y=2|label=B𝄪♯}}


{{Lumatone key|x=2|y=3|label=C{{sharp}}}}
{{Lumatone key|x=2|y=3|label=C♯}}
{{Lumatone key|x=3|y=3|label=D{{sharp}}}}
{{Lumatone key|x=3|y=3|label=D♯}}
{{Lumatone key|x=4|y=3|label=E{{sharp}}}}
{{Lumatone key|x=4|y=3|label=E♯}}
{{Lumatone key|x=5|y=3|label=F{{sharp2}}}}
{{Lumatone key|x=5|y=3|label=F𝄪}}
{{Lumatone key|x=6|y=3|label=G{{sharp2}}}}
{{Lumatone key|x=6|y=3|label=G𝄪}}
{{Lumatone key|x=7|y=3|label=A{{sharp2}}}}
{{Lumatone key|x=7|y=3|label=A𝄪}}
{{Lumatone key|x=8|y=3|label=B{{sharp2}}}}
{{Lumatone key|x=8|y=3|label=B𝄪}}
{{Lumatone key|x=9|y=3|label=C{{sharp2}}{{sharp}}}}
{{Lumatone key|x=9|y=3|label=C𝄪♯}}
{{Lumatone key|x=10|y=3|label=D{{sharp2}}{{sharp}}}}
{{Lumatone key|x=10|y=3|label=D𝄪♯}}
{{Lumatone key|x=11|y=3|label=E{{sharp2}}{{sharp}}}}
{{Lumatone key|x=11|y=3|label=E𝄪♯}}
{{Lumatone key|x=12|y=3|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=12|y=3|label=F𝄪𝄪}}


{{Lumatone key|x=2|y=4|label=C}}
{{Lumatone key|x=2|y=4|label=C}}
{{Lumatone key|x=3|y=4|label=D}}
{{Lumatone key|x=3|y=4|label=D}}
{{Lumatone key|x=4|y=4|label=E}}
{{Lumatone key|x=4|y=4|label=E}}
{{Lumatone key|x=5|y=4|label=F{{sharp}}}}
{{Lumatone key|x=5|y=4|label=F♯}}
{{Lumatone key|x=6|y=4|label=G{{sharp}}}}
{{Lumatone key|x=6|y=4|label=G♯}}
{{Lumatone key|x=7|y=4|label=A{{sharp}}}}
{{Lumatone key|x=7|y=4|label=A♯}}
{{Lumatone key|x=8|y=4|label=B{{sharp}}}}
{{Lumatone key|x=8|y=4|label=B♯}}
{{Lumatone key|x=9|y=4|label=C{{sharp2}}}}
{{Lumatone key|x=9|y=4|label=C𝄪}}
{{Lumatone key|x=10|y=4|label=D{{sharp2}}}}
{{Lumatone key|x=10|y=4|label=D𝄪}}
{{Lumatone key|x=11|y=4|label=E{{sharp2}}}}
{{Lumatone key|x=11|y=4|label=E𝄪}}
{{Lumatone key|x=12|y=4|label=F{{sharp2}}{{sharp}}}}
{{Lumatone key|x=12|y=4|label=F𝄪♯}}
{{Lumatone key|x=13|y=4|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=13|y=4|label=G𝄪♯}}
{{Lumatone key|x=14|y=4|label=A{{sharp2}}{{sharp}}}}
{{Lumatone key|x=14|y=4|label=A𝄪♯}}
{{Lumatone key|x=15|y=4|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=15|y=4|label=B𝄪♯}}


{{Lumatone key|x=3|y=5|label=D{{flat}}}}
{{Lumatone key|x=3|y=5|label=D♭}}
{{Lumatone key|x=4|y=5|label=E{{flat}}}}
{{Lumatone key|x=4|y=5|label=E♭}}
{{Lumatone key|x=5|y=5|label=F}}
{{Lumatone key|x=5|y=5|label=F}}
{{Lumatone key|x=6|y=5|label=G}}
{{Lumatone key|x=6|y=5|label=G}}
{{Lumatone key|x=7|y=5|label=A}}
{{Lumatone key|x=7|y=5|label=A}}
{{Lumatone key|x=8|y=5|label=B}}
{{Lumatone key|x=8|y=5|label=B}}
{{Lumatone key|x=9|y=5|label=C{{sharp}}}}
{{Lumatone key|x=9|y=5|label=C♯}}
{{Lumatone key|x=10|y=5|label=D{{sharp}}}}
{{Lumatone key|x=10|y=5|label=D♯}}
{{Lumatone key|x=11|y=5|label=E{{sharp}}}}
{{Lumatone key|x=11|y=5|label=E♯}}
{{Lumatone key|x=12|y=5|label=F{{sharp2}}}}
{{Lumatone key|x=12|y=5|label=F𝄪}}
{{Lumatone key|x=13|y=5|label=G{{sharp2}}}}
{{Lumatone key|x=13|y=5|label=G𝄪}}
{{Lumatone key|x=14|y=5|label=A{{sharp2}}}}
{{Lumatone key|x=14|y=5|label=A𝄪}}
{{Lumatone key|x=15|y=5|label=B{{sharp2}}}}
{{Lumatone key|x=15|y=5|label=B𝄪}}
{{Lumatone key|x=16|y=5|label=C{{sharp2}}{{sharp}}}}
{{Lumatone key|x=16|y=5|label=C𝄪♯}}
{{Lumatone key|x=17|y=5|label=D{{sharp2}}{{sharp}}}}
{{Lumatone key|x=17|y=5|label=D𝄪♯}}
{{Lumatone key|x=18|y=5|label=E{{sharp2}}{{sharp}}}}
{{Lumatone key|x=18|y=5|label=E𝄪♯}}
{{Lumatone key|x=19|y=5|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=19|y=5|label=F𝄪𝄪}}


{{Lumatone key|x=3|y=6|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=3|y=6|label=D𝄫|size=9px}}
{{Lumatone key|x=4|y=6|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=4|y=6|label=E𝄫|size=9px}}
{{Lumatone key|x=5|y=6|label=F{{flat}}}}
{{Lumatone key|x=5|y=6|label=F♭}}
{{Lumatone key|x=6|y=6|label=G{{flat}}}}
{{Lumatone key|x=6|y=6|label=G♭}}
{{Lumatone key|x=7|y=6|label=A{{flat}}}}
{{Lumatone key|x=7|y=6|label=A♭}}
{{Lumatone key|x=8|y=6|label=B{{flat}}}}
{{Lumatone key|x=8|y=6|label=B♭}}
{{Lumatone key|x=9|y=6|label=C}}
{{Lumatone key|x=9|y=6|label=C}}
{{Lumatone key|x=10|y=6|label=D}}
{{Lumatone key|x=10|y=6|label=D}}
{{Lumatone key|x=11|y=6|label=E}}
{{Lumatone key|x=11|y=6|label=E}}
{{Lumatone key|x=12|y=6|label=F{{sharp}}}}
{{Lumatone key|x=12|y=6|label=F♯}}
{{Lumatone key|x=13|y=6|label=G{{sharp}}}}
{{Lumatone key|x=13|y=6|label=G♯}}
{{Lumatone key|x=14|y=6|label=A{{sharp}}}}
{{Lumatone key|x=14|y=6|label=A♯}}
{{Lumatone key|x=15|y=6|label=B{{sharp}}}}
{{Lumatone key|x=15|y=6|label=B♯}}
{{Lumatone key|x=16|y=6|label=C{{sharp2}}}}
{{Lumatone key|x=16|y=6|label=C𝄪}}
{{Lumatone key|x=17|y=6|label=D{{sharp2}}}}
{{Lumatone key|x=17|y=6|label=D𝄪}}
{{Lumatone key|x=18|y=6|label=E{{sharp2}}}}
{{Lumatone key|x=18|y=6|label=E𝄪}}
{{Lumatone key|x=19|y=6|label=F{{sharp2}}{{sharp}}}}
{{Lumatone key|x=19|y=6|label=F𝄪♯}}
{{Lumatone key|x=20|y=6|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=20|y=6|label=G𝄪♯}}
{{Lumatone key|x=21|y=6|label=A{{sharp2}}{{sharp}}}}
{{Lumatone key|x=21|y=6|label=A𝄪♯}}
{{Lumatone key|x=22|y=6|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=22|y=6|label=B𝄪♯}}


{{Lumatone key|x=4|y=7|label=E{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=4|y=7|label=E♭♭♭|size=7px}}
{{Lumatone key|x=5|y=7|label=F{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=5|y=7|label=F𝄫|size=9px}}
{{Lumatone key|x=6|y=7|label=G{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=6|y=7|label=G𝄫|size=9px}}
{{Lumatone key|x=7|y=7|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=7|y=7|label=A𝄫|size=9px}}
{{Lumatone key|x=8|y=7|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=8|y=7|label=B𝄫|size=9px}}
{{Lumatone key|x=9|y=7|label=C{{flat}}}}
{{Lumatone key|x=9|y=7|label=C♭}}
{{Lumatone key|x=10|y=7|label=D{{flat}}}}
{{Lumatone key|x=10|y=7|label=D♭}}
{{Lumatone key|x=11|y=7|label=E{{flat}}}}
{{Lumatone key|x=11|y=7|label=E♭}}
{{Lumatone key|x=12|y=7|label=F}}
{{Lumatone key|x=12|y=7|label=F}}
{{Lumatone key|x=13|y=7|label=G}}
{{Lumatone key|x=13|y=7|label=G}}
{{Lumatone key|x=14|y=7|label=A}}
{{Lumatone key|x=14|y=7|label=A}}
{{Lumatone key|x=15|y=7|label=B}}
{{Lumatone key|x=15|y=7|label=B}}
{{Lumatone key|x=16|y=7|label=C{{sharp}}}}
{{Lumatone key|x=16|y=7|label=C♯}}
{{Lumatone key|x=17|y=7|label=D{{sharp}}}}
{{Lumatone key|x=17|y=7|label=D♯}}
{{Lumatone key|x=18|y=7|label=E{{sharp}}}}
{{Lumatone key|x=18|y=7|label=E♯}}
{{Lumatone key|x=19|y=7|label=F{{sharp2}}}}
{{Lumatone key|x=19|y=7|label=F𝄪}}
{{Lumatone key|x=20|y=7|label=G{{sharp2}}}}
{{Lumatone key|x=20|y=7|label=G𝄪}}
{{Lumatone key|x=21|y=7|label=A{{sharp2}}}}
{{Lumatone key|x=21|y=7|label=A𝄪}}
{{Lumatone key|x=22|y=7|label=B{{sharp2}}}}
{{Lumatone key|x=22|y=7|label=B𝄪}}
{{Lumatone key|x=23|y=7|label=C{{sharp2}}{{sharp}}}}
{{Lumatone key|x=23|y=7|label=C𝄪♯}}
{{Lumatone key|x=24|y=7|label=D{{sharp2}}{{sharp}}}}
{{Lumatone key|x=24|y=7|label=D𝄪♯}}
{{Lumatone key|x=25|y=7|label=E{{sharp2}}{{sharp}}}}
{{Lumatone key|x=25|y=7|label=E𝄪♯}}
{{Lumatone key|x=26|y=7|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=26|y=7|label=F𝄪𝄪}}


{{Lumatone key|x=4|y=8|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=4|y=8|label=E𝄫𝄫|size=5px}}
{{Lumatone key|x=5|y=8|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=5|y=8|label=F♭♭♭|size=7px}}
{{Lumatone key|x=6|y=8|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=6|y=8|label=G♭♭♭|size=7px}}
{{Lumatone key|x=7|y=8|label=A{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=7|y=8|label=A♭♭♭|size=7px}}
{{Lumatone key|x=8|y=8|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=8|y=8|label=B♭♭♭|size=7px}}
{{Lumatone key|x=9|y=8|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=9|y=8|label=C𝄫|size=9px}}
{{Lumatone key|x=10|y=8|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=10|y=8|label=D𝄫|size=9px}}
{{Lumatone key|x=11|y=8|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=11|y=8|label=E𝄫|size=9px}}
{{Lumatone key|x=12|y=8|label=F{{flat}}}}
{{Lumatone key|x=12|y=8|label=F♭}}
{{Lumatone key|x=13|y=8|label=G{{flat}}}}
{{Lumatone key|x=13|y=8|label=G♭}}
{{Lumatone key|x=14|y=8|label=A{{flat}}}}
{{Lumatone key|x=14|y=8|label=A♭}}
{{Lumatone key|x=15|y=8|label=B{{flat}}}}
{{Lumatone key|x=15|y=8|label=B♭}}
{{Lumatone key|x=16|y=8|label=C}}
{{Lumatone key|x=16|y=8|label=C}}
{{Lumatone key|x=17|y=8|label=D}}
{{Lumatone key|x=17|y=8|label=D}}
{{Lumatone key|x=18|y=8|label=E}}
{{Lumatone key|x=18|y=8|label=E}}
{{Lumatone key|x=19|y=8|label=F{{sharp}}}}
{{Lumatone key|x=19|y=8|label=F♯}}
{{Lumatone key|x=20|y=8|label=G{{sharp}}}}
{{Lumatone key|x=20|y=8|label=G♯}}
{{Lumatone key|x=21|y=8|label=A{{sharp}}}}
{{Lumatone key|x=21|y=8|label=A♯}}
{{Lumatone key|x=22|y=8|label=B{{sharp}}}}
{{Lumatone key|x=22|y=8|label=B♯}}
{{Lumatone key|x=23|y=8|label=C{{sharp2}}}}
{{Lumatone key|x=23|y=8|label=C𝄪}}
{{Lumatone key|x=24|y=8|label=D{{sharp2}}}}
{{Lumatone key|x=24|y=8|label=D𝄪}}
{{Lumatone key|x=25|y=8|label=E{{sharp2}}}}
{{Lumatone key|x=25|y=8|label=E𝄪}}
{{Lumatone key|x=26|y=8|label=F{{sharp2}}{{sharp}}}}
{{Lumatone key|x=26|y=8|label=F𝄪♯}}
{{Lumatone key|x=27|y=8|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=27|y=8|label=G𝄪♯}}
{{Lumatone key|x=28|y=8|label=A{{sharp2}}{{sharp}}}}
{{Lumatone key|x=28|y=8|label=A𝄪♯}}
{{Lumatone key|x=29|y=8|label=B{{sharp2}}{{sharp}}}}
{{Lumatone key|x=29|y=8|label=B𝄪♯}}


{{Lumatone key|x=8|y=9|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=8|y=9|label=B𝄫𝄫|size=5px}}
{{Lumatone key|x=9|y=9|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=9|y=9|label=C♭♭♭|size=7px}}
{{Lumatone key|x=10|y=9|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=10|y=9|label=D♭♭♭|size=7px}}
{{Lumatone key|x=11|y=9|label=E{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=11|y=9|label=E♭♭♭|size=7px}}
{{Lumatone key|x=12|y=9|label=F{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=12|y=9|label=F𝄫|size=9px}}
{{Lumatone key|x=13|y=9|label=G{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=13|y=9|label=G𝄫|size=9px}}
{{Lumatone key|x=14|y=9|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=14|y=9|label=A𝄫|size=9px}}
{{Lumatone key|x=15|y=9|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=15|y=9|label=B𝄫|size=9px}}
{{Lumatone key|x=16|y=9|label=C{{flat}}}}
{{Lumatone key|x=16|y=9|label=C♭}}
{{Lumatone key|x=17|y=9|label=D{{flat}}}}
{{Lumatone key|x=17|y=9|label=D♭}}
{{Lumatone key|x=18|y=9|label=E{{flat}}}}
{{Lumatone key|x=18|y=9|label=E♭}}
{{Lumatone key|x=19|y=9|label=F}}
{{Lumatone key|x=19|y=9|label=F}}
{{Lumatone key|x=20|y=9|label=G}}
{{Lumatone key|x=20|y=9|label=G}}
{{Lumatone key|x=21|y=9|label=A}}
{{Lumatone key|x=21|y=9|label=A}}
{{Lumatone key|x=22|y=9|label=B}}
{{Lumatone key|x=22|y=9|label=B}}
{{Lumatone key|x=23|y=9|label=C{{sharp}}}}
{{Lumatone key|x=23|y=9|label=C♯}}
{{Lumatone key|x=24|y=9|label=D{{sharp}}}}
{{Lumatone key|x=24|y=9|label=D♯}}
{{Lumatone key|x=25|y=9|label=E{{sharp}}}}
{{Lumatone key|x=25|y=9|label=E♯}}
{{Lumatone key|x=26|y=9|label=F{{sharp2}}}}
{{Lumatone key|x=26|y=9|label=F𝄪}}
{{Lumatone key|x=27|y=9|label=G{{sharp2}}}}
{{Lumatone key|x=27|y=9|label=G𝄪}}
{{Lumatone key|x=28|y=9|label=A{{sharp2}}}}
{{Lumatone key|x=28|y=9|label=A𝄪}}
{{Lumatone key|x=29|y=9|label=B{{sharp2}}}}
{{Lumatone key|x=29|y=9|label=B𝄪}}
{{Lumatone key|x=30|y=9|label=C{{sharp2}}{{sharp}}}}
{{Lumatone key|x=30|y=9|label=C𝄪♯}}
{{Lumatone key|x=31|y=9|label=D{{sharp2}}{{sharp}}}}
{{Lumatone key|x=31|y=9|label=D𝄪♯}}
{{Lumatone key|x=32|y=9|label=E{{sharp2}}{{sharp}}}}
{{Lumatone key|x=32|y=9|label=E𝄪♯}}
{{Lumatone key|x=33|y=9|label=F{{sharp2}}{{sharp2}}}}
{{Lumatone key|x=33|y=9|label=F𝄪𝄪}}


{{Lumatone key|x=11|y=10|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=11|y=10|label=E𝄫𝄫|size=5px}}
{{Lumatone key|x=12|y=10|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=12|y=10|label=F♭♭♭|size=7px}}
{{Lumatone key|x=13|y=10|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=13|y=10|label=G♭♭♭|size=7px}}
{{Lumatone key|x=14|y=10|label=A{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=14|y=10|label=A♭♭♭|size=7px}}
{{Lumatone key|x=15|y=10|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=15|y=10|label=B♭♭♭|size=7px}}
{{Lumatone key|x=16|y=10|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=16|y=10|label=C𝄫|size=9px}}
{{Lumatone key|x=17|y=10|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=17|y=10|label=D𝄫|size=9px}}
{{Lumatone key|x=18|y=10|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=18|y=10|label=E𝄫|size=9px}}
{{Lumatone key|x=19|y=10|label=F{{flat}}}}
{{Lumatone key|x=19|y=10|label=F♭}}
{{Lumatone key|x=20|y=10|label=G{{flat}}}}
{{Lumatone key|x=20|y=10|label=G♭}}
{{Lumatone key|x=21|y=10|label=A{{flat}}}}
{{Lumatone key|x=21|y=10|label=A♭}}
{{Lumatone key|x=22|y=10|label=B{{flat}}}}
{{Lumatone key|x=22|y=10|label=B♭}}
{{Lumatone key|x=23|y=10|label=C}}
{{Lumatone key|x=23|y=10|label=C}}
{{Lumatone key|x=24|y=10|label=D}}
{{Lumatone key|x=24|y=10|label=D}}
{{Lumatone key|x=25|y=10|label=E}}
{{Lumatone key|x=25|y=10|label=E}}
{{Lumatone key|x=26|y=10|label=F{{sharp}}}}
{{Lumatone key|x=26|y=10|label=F♯}}
{{Lumatone key|x=27|y=10|label=G{{sharp}}}}
{{Lumatone key|x=27|y=10|label=G♯}}
{{Lumatone key|x=28|y=10|label=A{{sharp}}}}
{{Lumatone key|x=28|y=10|label=A♯}}
{{Lumatone key|x=29|y=10|label=B{{sharp}}}}
{{Lumatone key|x=29|y=10|label=B♯}}
{{Lumatone key|x=30|y=10|label=C{{sharp2}}}}
{{Lumatone key|x=30|y=10|label=C𝄪}}
{{Lumatone key|x=31|y=10|label=D{{sharp2}}}}
{{Lumatone key|x=31|y=10|label=D𝄪}}
{{Lumatone key|x=32|y=10|label=E{{sharp2}}}}
{{Lumatone key|x=32|y=10|label=E𝄪}}
{{Lumatone key|x=33|y=10|label=F{{sharp2}}{{sharp}}}}
{{Lumatone key|x=33|y=10|label=F𝄪♯}}
{{Lumatone key|x=34|y=10|label=G{{sharp2}}{{sharp}}}}
{{Lumatone key|x=34|y=10|label=G𝄪♯}}


{{Lumatone key|x=15|y=11|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=15|y=11|label=B𝄫𝄫|size=5px}}
{{Lumatone key|x=16|y=11|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=16|y=11|label=C♭♭♭|size=7px}}
{{Lumatone key|x=17|y=11|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=17|y=11|label=D♭♭♭|size=7px}}
{{Lumatone key|x=18|y=11|label=E{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=18|y=11|label=E♭♭♭|size=7px}}
{{Lumatone key|x=19|y=11|label=F{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=19|y=11|label=F𝄫|size=9px}}
{{Lumatone key|x=20|y=11|label=G{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=20|y=11|label=G𝄫|size=9px}}
{{Lumatone key|x=21|y=11|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=21|y=11|label=A𝄫|size=9px}}
{{Lumatone key|x=22|y=11|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=22|y=11|label=B𝄫|size=9px}}
{{Lumatone key|x=23|y=11|label=C{{flat}}}}
{{Lumatone key|x=23|y=11|label=C♭}}
{{Lumatone key|x=24|y=11|label=D{{flat}}}}
{{Lumatone key|x=24|y=11|label=D♭}}
{{Lumatone key|x=25|y=11|label=E{{flat}}}}
{{Lumatone key|x=25|y=11|label=E♭}}
{{Lumatone key|x=26|y=11|label=F}}
{{Lumatone key|x=26|y=11|label=F}}
{{Lumatone key|x=27|y=11|label=G}}
{{Lumatone key|x=27|y=11|label=G}}
{{Lumatone key|x=28|y=11|label=A}}
{{Lumatone key|x=28|y=11|label=A}}
{{Lumatone key|x=29|y=11|label=B}}
{{Lumatone key|x=29|y=11|label=B}}
{{Lumatone key|x=30|y=11|label=C{{sharp}}}}
{{Lumatone key|x=30|y=11|label=C♯}}
{{Lumatone key|x=31|y=11|label=D{{sharp}}}}
{{Lumatone key|x=31|y=11|label=D♯}}
{{Lumatone key|x=32|y=11|label=E{{sharp}}}}
{{Lumatone key|x=32|y=11|label=E♯}}
{{Lumatone key|x=33|y=11|label=F{{sharp2}}}}
{{Lumatone key|x=33|y=11|label=F𝄪}}
{{Lumatone key|x=34|y=11|label=G{{sharp2}}}}
{{Lumatone key|x=34|y=11|label=G𝄪}}
{{Lumatone key|x=35|y=11|label=A{{sharp2}}}}
{{Lumatone key|x=35|y=11|label=A𝄪}}


{{Lumatone key|x=18|y=12|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=18|y=12|label=E𝄫𝄫|size=5px}}
{{Lumatone key|x=19|y=12|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=19|y=12|label=F♭♭♭|size=7px}}
{{Lumatone key|x=20|y=12|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=20|y=12|label=G♭♭♭|size=7px}}
{{Lumatone key|x=21|y=12|label=A{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=21|y=12|label=A♭♭♭|size=7px}}
{{Lumatone key|x=22|y=12|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=22|y=12|label=B♭♭♭|size=7px}}
{{Lumatone key|x=23|y=12|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=23|y=12|label=C𝄫|size=9px}}
{{Lumatone key|x=24|y=12|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=24|y=12|label=D𝄫|size=9px}}
{{Lumatone key|x=25|y=12|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=25|y=12|label=E𝄫|size=9px}}
{{Lumatone key|x=26|y=12|label=F{{flat}}}}
{{Lumatone key|x=26|y=12|label=F♭}}
{{Lumatone key|x=27|y=12|label=G{{flat}}}}
{{Lumatone key|x=27|y=12|label=G♭}}
{{Lumatone key|x=28|y=12|label=A{{flat}}}}
{{Lumatone key|x=28|y=12|label=A♭}}
{{Lumatone key|x=29|y=12|label=B{{flat}}}}
{{Lumatone key|x=29|y=12|label=B♭}}
{{Lumatone key|x=30|y=12|label=C}}
{{Lumatone key|x=30|y=12|label=C}}
{{Lumatone key|x=31|y=12|label=D}}
{{Lumatone key|x=31|y=12|label=D}}
{{Lumatone key|x=32|y=12|label=E}}
{{Lumatone key|x=32|y=12|label=E}}
{{Lumatone key|x=33|y=12|label=F{{sharp}}}}
{{Lumatone key|x=33|y=12|label=F♯}}
{{Lumatone key|x=34|y=12|label=G{{sharp}}}}
{{Lumatone key|x=34|y=12|label=G♯}}
{{Lumatone key|x=35|y=12|label=A{{sharp}}}}
{{Lumatone key|x=35|y=12|label=A♯}}


{{Lumatone key|x=22|y=13|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=22|y=13|label=B𝄫𝄫|size=5px}}
{{Lumatone key|x=23|y=13|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=23|y=13|label=C♭♭♭|size=7px}}
{{Lumatone key|x=24|y=13|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=24|y=13|label=D♭♭♭|size=7px}}
{{Lumatone key|x=25|y=13|label=E{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=25|y=13|label=E♭♭♭|size=7px}}
{{Lumatone key|x=26|y=13|label=F{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=26|y=13|label=F𝄫|size=9px}}
{{Lumatone key|x=27|y=13|label=G{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=27|y=13|label=G𝄫|size=9px}}
{{Lumatone key|x=28|y=13|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=28|y=13|label=A𝄫|size=9px}}
{{Lumatone key|x=29|y=13|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=29|y=13|label=B𝄫|size=9px}}
{{Lumatone key|x=30|y=13|label=C{{flat}}}}
{{Lumatone key|x=30|y=13|label=C♭}}
{{Lumatone key|x=31|y=13|label=D{{flat}}}}
{{Lumatone key|x=31|y=13|label=D♭}}
{{Lumatone key|x=32|y=13|label=E{{flat}}}}
{{Lumatone key|x=32|y=13|label=E♭}}
{{Lumatone key|x=33|y=13|label=F}}
{{Lumatone key|x=33|y=13|label=F}}
{{Lumatone key|x=34|y=13|label=G}}
{{Lumatone key|x=34|y=13|label=G}}
Line 250: Line 250:
{{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=5px}}
{{Lumatone key|x=25|y=14|label=E𝄫𝄫|size=5px}}
{{Lumatone key|x=26|y=14|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=26|y=14|label=F♭♭♭|size=7px}}
{{Lumatone key|x=27|y=14|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=27|y=14|label=G♭♭♭|size=7px}}
{{Lumatone key|x=28|y=14|label=A{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=28|y=14|label=A♭♭♭|size=7px}}
{{Lumatone key|x=29|y=14|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=29|y=14|label=B♭♭♭|size=7px}}
{{Lumatone key|x=30|y=14|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=30|y=14|label=C𝄫|size=9px}}
{{Lumatone key|x=31|y=14|label=D{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=31|y=14|label=D𝄫|size=9px}}
{{Lumatone key|x=32|y=14|label=E{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=32|y=14|label=E𝄫|size=9px}}
{{Lumatone key|x=33|y=14|label=F{{flat}}}}
{{Lumatone key|x=33|y=14|label=F♭}}
{{Lumatone key|x=34|y=14|label=G{{flat}}}}
{{Lumatone key|x=34|y=14|label=G♭}}
{{Lumatone key|x=35|y=14|label=A{{flat}}}}
{{Lumatone key|x=35|y=14|label=A♭}}
{{Lumatone key|x=36|y=14|label=B{{flat}}}}
{{Lumatone key|x=36|y=14|label=B♭}}


{{Lumatone key|x=29|y=15|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=29|y=15|label=B𝄫𝄫|size=5px}}
{{Lumatone key|x=30|y=15|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=30|y=15|label=C♭♭♭|size=7px}}
{{Lumatone key|x=31|y=15|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=31|y=15|label=D♭♭♭|size=7px}}
{{Lumatone key|x=32|y=15|label=E{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=32|y=15|label=E♭♭♭|size=7px}}
{{Lumatone key|x=33|y=15|label=F{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=33|y=15|label=F𝄫|size=9px}}
{{Lumatone key|x=34|y=15|label=G{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=34|y=15|label=G𝄫|size=9px}}
{{Lumatone key|x=35|y=15|label=A{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=35|y=15|label=A𝄫|size=9px}}
{{Lumatone key|x=36|y=15|label=B{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=36|y=15|label=B𝄫|size=9px}}
{{Lumatone key|x=37|y=15|label=C{{flat}}}}
{{Lumatone key|x=37|y=15|label=C♭}}


{{Lumatone key|x=32|y=16|label=E{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=32|y=16|label=E𝄫𝄫|size=5px}}
{{Lumatone key|x=33|y=16|label=F{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=33|y=16|label=F♭♭♭|size=7px}}
{{Lumatone key|x=34|y=16|label=G{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=34|y=16|label=G♭♭♭|size=7px}}
{{Lumatone key|x=35|y=16|label=A{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=35|y=16|label=A♭♭♭|size=7px}}
{{Lumatone key|x=36|y=16|label=B{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=36|y=16|label=B♭♭♭|size=7px}}
{{Lumatone key|x=37|y=16|label=C{{flat}}{{flat}}|size=9px}}
{{Lumatone key|x=37|y=16|label=C𝄫|size=9px}}


{{Lumatone key|x=36|y=17|label=B{{flat}}{{flat}}{{flat}}{{flat}}|size=5px}}
{{Lumatone key|x=36|y=17|label=B𝄫𝄫|size=5px}}
{{Lumatone key|x=37|y=17|label=C{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=37|y=17|label=C♭♭♭|size=7px}}
{{Lumatone key|x=38|y=17|label=D{{flat}}{{flat}}{{flat}}|size=7px}}
{{Lumatone key|x=38|y=17|label=D♭♭♭|size=7px}}
}}
}}


Latest revision as of 02:30, 17 April 2025

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, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the diatonic semitone goes right-and-down, which implies that the chromatic semitone (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. It will provide complete coverage for any edo up to 56 which has a single circle of fifths, and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a 5L 2s or 2L 5s mos scale.

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𝄫
E𝄫
F♭
G♭
A♭
B♭
C
D
E
F♯
G♯
A♯
B♯
C𝄪
D𝄪
E𝄪
F𝄪♯
G𝄪♯
B𝄫𝄫
C♭♭♭
D♭♭♭
E♭♭♭
F𝄫
G𝄫
A𝄫
B𝄫
C♭
D♭
E♭
F
G
A
B
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
B
E𝄫𝄫
F♭♭♭
G♭♭♭
A♭♭♭
B♭♭♭
C𝄫
D𝄫
E𝄫
F♭
G♭
A♭
B♭
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.

Retrieved from "https://en.xen.wiki/index.php?title=Standard_Lumatone_mapping_for_Pythagorean&oldid=192594"