Standard Lumatone mapping for Pythagorean: Difference between revisions
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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 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. | 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| | ||
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.
Not all notes with four or more flats are shown here; they follow the obvious pattern.