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]].
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 EDO mapping|n=34|start=14|xstep=4|ystep=3}}
{{Lumatone EDO mapping|n=34|start=14|xstep=4|ystep=3}}


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.
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.
{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}
{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}


Or if you want greater range you can slice the perfect 4th in two and use the [[immunity]] mapping.
 
If you want greater range you can slice the perfect 4th in two and use the [[immunity]] mapping:
{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}
{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}
Or the [[kleismic]] mapping:
{{Lumatone EDO mapping|n=34|start=20|xstep=9|ystep=-1}}


[[Category:Lumatone mappings]] [[Category:34edo]]
[[Category:Lumatone mappings]] [[Category:34edo]]