Lumatone mapping for 22edo: Difference between revisions

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There are many conceivable ways to map [[22edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]]. This is "Preset 5 22-ET Bosanquet" in the official Lumatone manual.
{{Lumatone mapping intro}}
 
== Diatonic ==
This is "Preset 5 — 22-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 6 — 22-EDO Bosanquet" in version 1.21. You can see this layout demonstrated in [https://www.youtube.com/shorts/AK9XpJC5DvQ ''where's jaoba? - spellcasting (microtonal cover in 22edo)''] (2026).
{{Lumatone EDO mapping|n=22|start=4|xstep=4|ystep=-3}}
{{Lumatone EDO mapping|n=22|start=4|xstep=4|ystep=-3}}




Keep in mind that, since 22edo is a [[superpyth]] temperament, 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 {{nowrap|(C → D)}} and then going up to 7 {{nowrap|(D → D♯)}}. If you want 5-limit intervals to be accessible in a more intuitive way, the [[1L 6s]] mapping for [[porcupine]] may be preferable.
Keep in mind that, since 22edo is a [[superpyth]] temperament, 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 {{nowrap|(C → D)}} and then going up to 7 {{nowrap|(D → D♯)}}.
 
== Porcupine ==
If you want 5-limit intervals to be accessible in a more intuitive way, the [[1L 6s]] mapping for [[Porcupine]] may be preferable. You can see this layout demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=0Yb78TIPmjM ''a bossa nova in 22edo''] (2025).
{{Lumatone EDO mapping|n=22|start=7|xstep=3|ystep=1}}
{{Lumatone EDO mapping|n=22|start=7|xstep=3|ystep=1}}




If you want to maximise playable range, the [[magic]] mapping is the widest one that still covers the full gamut, with the two most compressed MOSes spanning between 8 and 11 octaves. Though, the resulting [[3L 4s]] MOS is highly improper, with a rather awkward 6:1 step ratio.
The expanded [[7L 1s]] mapping is also another option, though it has slightly less range.
{{Lumatone EDO mapping|n=22|start=3|xstep=3|ystep=-2}}
 
== Magic ==
If you want to maximise playable range, the [[magic]] mapping is the widest one that still covers the full gamut, with the two most compressed MOSes spanning between 8 and 11 octaves. Though, the resulting [[3L 1s]] MOS has a 7:1 step ratio, making it very lopsided.
 
=== Compressed ===
{{Lumatone EDO mapping|n=22|start=15|xstep=7|ystep=-6}}
{{Lumatone EDO mapping|n=22|start=15|xstep=7|ystep=-6}}


=== Extra-compressed ===
{{Lumatone EDO mapping|n=22|start=13|xstep=7|ystep=1}}


{{Lumatone EDO mapping|n=22|start=13|xstep=7|ystep=1}}
== Orwell ==
The [[Lumatone mapping for orwell|Orwell]] mapping also gives excellent range, covering just over six full octaves using the [[4L 1s]] MOS and making it easy to play both 5-limit minor and major and 7-limit subminor and supermajor chords.
{{Lumatone EDO mapping|n=22|start=3|xstep=5|ystep=-3}}


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