Standard Lumatone mapping for Pythagorean: Difference between revisions
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. |
m Further linking and clarification. |
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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 | 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. | ||