Lumatone mapping for 22edo: Difference between revisions

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== 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.

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).

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♯)~~}}.

Inverting the directon of the two kinds of semitones increases the range to 6 octaves, at the cost of making octaves slope up heavily and wrap around to the bottom again repeatedly. [[Gordon Wery]] demonstrates this tuning in [https://www.youtube.com/watch?v=TP5pL-VPPdM ''Bach's Prelude in C on Lumatone'']

== 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).

The expanded [[7L 1s]] mapping is also another option, though it has slightly less range.

== Magic ==

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 == Diatonic ==
-This is "Preset 5&nbsp;&mdash; 22-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 6&nbsp;&mdash; 22-EDO Bosanquet" in version 1.21.
+This is "Preset 5&nbsp;&mdash; 22-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 6&nbsp;&mdash; 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}}
+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&#x266F;). 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 &rarr; D)}} and then going up to 7 {{nowrap|(D &rarr; D&#x266F;)}}.
-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&#x266F;). 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 &rarr; D)}} and then going up to 7 {{nowrap|(D &rarr; D&#x266F;)}}.
+Inverting the directon of the two kinds of semitones increases the range to 6 octaves, at the cost of making octaves slope up heavily and wrap around to the bottom again repeatedly. [[Gordon Wery]] demonstrates this tuning in [https://www.youtube.com/watch?v=TP5pL-VPPdM  ''Bach's Prelude in C on Lumatone'']
+{{Lumatone EDO mapping|n=22|start=20|xstep=4|ystep=-1}}
 == Porcupine ==
 If you want 5-limit intervals to be accessible in a more intuitive way, the [[1L&nbsp;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}}
+The expanded [[7L&nbsp;1s]] mapping is also another option, though it has slightly less range.
+{{Lumatone EDO mapping|n=22|start=3|xstep=3|ystep=-2}}
 == Magic ==