Lumatone mapping for 22edo: Difference between revisions

Porcupine: Link to demo video
Diatonic: Reversed diatonic and chromatic semitone direction: How to compensate for slope; add sub-section heading
 
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{{Lumatone mapping intro}} This is "Preset 5 — 22-ET Bosanquet" in the official Lumatone manual.
{{Lumatone mapping intro}}


== Diatonic ==
== 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♯)}}.


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♯)}}.
=== Reversed diatonic and chromatic semitone direction ===
 
Inverting the directon of the two kinds of semitones increases the range to 6 octaves. This comes at the cost of making octaves slope up heavily and wrap around to the bottom again repeatedly, unless one makes an adjustment in playing style to convert one (but not both) of the diatonic semitones in the diatonic scale into a large vertical jump down to compensate, which then results in an overall gentle downwards slope. [[Gordon Wery]] demonstrates this tuning in [https://www.youtube.com/watch?v=TP5pL-VPPdM ''Bach's Prelude in C on Lumatone''] (2026), including the aforementioned diatonic semitone position compensation.
{{Lumatone EDO mapping|n=22|start=20|xstep=4|ystep=-1}}


== Porcupine ==
== 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).
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}}
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 ==
== Magic ==