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]], 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|