Standard Lumatone mapping for Pythagorean: Difference between revisions

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Since I've been creating entries that explore the limits of the lumatone's gamut, might as well put the info in here as well.
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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.
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 ring of 5ths.  




Revision as of 21:03, 25 March 2023

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. It will provide complete coverage for any edo up to 56 which has a single ring of 5ths.


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
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B
C
D
E
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G
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D
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G
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C
D
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G
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C
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Not all notes with four or more flats are shown here; they follow the obvious pattern.

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