Standard Lumatone mapping for Pythagorean: Difference between revisions
Created page with "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 sca..." |
The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''. |
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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. 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 {{sharp}}/{{flat}} 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. 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 {{sharp}}/{{flat}} 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 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. | ||
Revision as of 18:50, 20 May 2021
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.
Not all notes with four or more flats are shown here; they follow the obvious pattern.