Lumatone mapping for 48edo: Difference between revisions

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{{Lumatone mapping intro}} If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[tetracot]] mapping, which is probably the most efficient and intuitive way of organising its intervals. Though the [[7L 6s]] MOS has a 6:1 step ratio, making it very lopsided.
{{Lumatone mapping intro}}
 
== Tetracot ==
If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[Tetracot]] mapping, which is probably the most efficient and intuitive way of organising its intervals. Though, the [[7L 6s]] MOS has a 6:1 step ratio, making it very lopsided.
{{Lumatone EDO mapping|n=48|start=33|xstep=7|ystep=-1}}
{{Lumatone EDO mapping|n=48|start=33|xstep=7|ystep=-1}}


== Other mappings ==
There are three other mappings that reach the perfect fith in 4 generator steps that might also be useful. These are the [[Negri]], [[Squares]], and [[Buzzard]] mappings.


There are three other mappings that reach the perfect fith in 4 generator steps that might also be useful. These are the [[Negri]] mapping
=== Negri ===
{{Lumatone EDO mapping|n=48|start=4|xstep=5|ystep=3}}
{{Lumatone EDO mapping|n=48|start=4|xstep=5|ystep=3}}


 
=== Squares ===
The [[Squares]] mapping
{{Lumatone EDO mapping|n=48|start=29|xstep=3|ystep=8}}
{{Lumatone EDO mapping|n=48|start=29|xstep=3|ystep=8}}


 
=== Buzzard ===
And the [[Buzzard]] mapping.
{{Lumatone EDO mapping|n=48|start=7|xstep=9|ystep=-8}}
{{Lumatone EDO mapping|n=48|start=7|xstep=9|ystep=-8}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}

Revision as of 15:19, 23 March 2025

There are many conceivable ways to map 48edo onto the onto the Lumatone keyboard. However, it has 4 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Since it is highly composite, many other mappings will also fail to cover the whole gamut.

Tetracot

If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the Tetracot mapping, which is probably the most efficient and intuitive way of organising its intervals. Though, the 7L 6s MOS has a 6:1 step ratio, making it very lopsided.

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Other mappings

There are three other mappings that reach the perfect fith in 4 generator steps that might also be useful. These are the Negri, Squares, and Buzzard mappings.

Negri

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Squares

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Buzzard

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