Lumatone mapping for 18edo: Difference between revisions

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Created page with "5L 3s-based Jankó mapping for 18edo: {{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}} 4L 3s-based Jankó mapping for 18edo: {{Lumatone EDO mapping|n=1..."
 
Flat neutral thirds: Add Bryan Deister's pseudo-isomorphic pseudo-diatonic mapping
 
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[[5L 3s]]-based Jankó mapping for [[18edo]]:
{{Lumatone mapping intro}} Only two generators work at all to produce single-period mos scales.


== Wide fifth ==
7\18 produces a [[5L 3s]]-based Jankó mapping. [[Bryan Deister]] uses this mapping in [https://www.youtube.com/shorts/-oi5eJA65Zc Waltz in 18edo].
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}


[[4L 3s]]-based Jankó mapping for [[18edo]]:
 
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}}
 
== Flat neutral thirds ==
5\18 produces a [[4L 3s]]-based Jankó mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/c26Yp_aMgDw ''Lament in 18edo''] (2025).
{{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.
{{Lumatone EDO mapping|n=18|start=16|xstep=5|ystep=-2}}
== Pseudo-Isomorphic Pseudo-Diatonic ==
A pseudo-isomorphic pseudo-diatonic mapping for [[18edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level &mdash; it is the [[19edo]] diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L&nbsp;3s Janko layout above, but with a duplicate of note 0 added, which allows it to support both the 4L&nbsp;3s scale (3:2 step ratio) and a 5L&nbsp;1s<sub>1</sub>&nbsp;1s<sub>2</sub> MODMOS scale (3:2:1 step ratio). This is demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/hNmse4IUWL0 ''18edo improv''] (2025).
{{Lumatone EDO mapping|n=19|start=-2|xstep=3|ystep=-1}}
{{Navbox Lumatone}}