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. 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 [[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 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.

{{Lumatone mapping|

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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 [[chromatic semitone]] (the amount by which &#x266F;/&#x266D; 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. 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.
 {{Lumatone mapping|