Lumatone mapping for 18edo: Difference between revisions

Yourmusic Productions (talk | contribs)
As the highest edo with no diatonic or antidiatonic scale at all, this is a special case that needs its own intro and expansion on how to best span it.
ArrowHead294 (talk | contribs)
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There are many conceivable ways to map [[18edo]] onto the onto the Lumatone keyboard. However, it has no generators that create a diatonic or antidiatonic scale that covers the whole gamut, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Due to its composite nature, only two generators work at all to produce single period mos scales.
{{Lumatone mapping intro}} Only two generators work at all to produce single-period mos scales.


== Wide fifth ==
== Wide fifth ==
7/18 produces a [[5L 3s]]-based Jankó mapping.
7\18 produces a [[5L 3s]]-based Jankó mapping.
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}


This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.


This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.
{{Lumatone EDO mapping|n=18|start=16|xstep=7|ystep=-3}}
{{Lumatone EDO mapping|n=18|start=16|xstep=7|ystep=-3}}


== Flat neutral thirds ==
== Flat neutral thirds ==
5/18 produces a [[4L 3s]]-based Jankó mapping.
5\18 produces a [[4L 3s]]-based Jankó mapping.
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-1}}
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-1}}


This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.


This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.
{{Lumatone EDO mapping|n=18|start=16|xstep=5|ystep=-2}}
{{Lumatone EDO mapping|n=18|start=16|xstep=5|ystep=-2}}


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