Lumatone mapping for 34edo: Difference between revisions

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34edo is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[17edo]] intervals unless you use the b val instead, which generates [[mabila]].
{{Lumatone mapping intro}}
 
== Mabila ==
You can use the b val instead, which generates [[Mabila]], but this puts the perfect fifth in awkward places.
{{Lumatone EDO mapping|n=34|start=14|xstep=4|ystep=3}}
{{Lumatone EDO mapping|n=34|start=14|xstep=4|ystep=3}}


 
== Tetracot ==
However, this puts the perfect 5th in awkward places. The [[Tetracot]] mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect 5th is in a straight line from the root, while single steps are neatly mapped to the vertical axis.
The [[6L 1s]] [[Tetracot]] mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect fifth is in a straight line from the root, the [[7L 6s]] MOS makes 5-limit major and minor chords very easily accessible, and single steps are neatly mapped to the vertical axis. However, the range is reduced to slightly over four octaves.
{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}
{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}


== Semiquartal (Immunity) ==
If you want greater range you can slice the perfect fourth in two and use the [[Immunity]] mapping. However, the resulting [[5L 4s]] MOS has a 6:1 step ratio, making it quite lopsided:
{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}


If you want greater range you can slice the perfect 4th in two and use the [[immunity]] mapping:
== Hanson ==
{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}
The [[Hanson]] mapping also puts 5-limit consonances within easy reach of each other, but does not cover the full gamut unless expanded from the [[3L 1s]] mapping to [[4L 3s]].
{{Lumatone EDO mapping|n=34|start=19|xstep=9|ystep=-2}}




Or the [[kleismic]] mapping, although the [[3L 1s]] mapping does not quite cover the whole gamut.
{{Lumatone EDO mapping|n=34|start=3|xstep=7|ystep=-5}}
{{Lumatone EDO mapping|n=34|start=19|xstep=9|ystep=-2}}


{{Lumatone mapping navigation}}
{{Navbox Lumatone}}

Latest revision as of 22:07, 17 May 2025

There are many conceivable ways to map 34edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Mabila

You can use the b val instead, which generates Mabila, but this puts the perfect fifth in awkward places.

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Tetracot

The 6L 1s Tetracot mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect fifth is in a straight line from the root, the 7L 6s MOS makes 5-limit major and minor chords very easily accessible, and single steps are neatly mapped to the vertical axis. However, the range is reduced to slightly over four octaves.

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Semiquartal (Immunity)

If you want greater range you can slice the perfect fourth in two and use the Immunity mapping. However, the resulting 5L 4s MOS has a 6:1 step ratio, making it quite lopsided:

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Hanson

The Hanson mapping also puts 5-limit consonances within easy reach of each other, but does not cover the full gamut unless expanded from the 3L 1s mapping to 4L 3s.

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