Lumatone mapping for 22edo: Difference between revisions
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m Update for Lumatone manual version 1.21; also change dash to emdash the way it is in both versions of the manual. |
→Diatonic: Reversed diatonic and chromatic semitone direction: How to compensate for slope; add sub-section heading |
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== 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♯)}}. | |||
=== 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 == | ||
Latest revision as of 15:11, 17 September 2026
There are many conceivable ways to map 22edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
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 where's jaoba? - spellcasting (microtonal cover in 22edo) (2026).
4
8
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14
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 (C → D) and then going up to 7 (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 Bach's Prelude in C on Lumatone (2026), including the aforementioned diatonic semitone position compensation.
20
2
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0
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 a bossa nova in 22edo (2025).
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7
The expanded 7L 1s mapping is also another option, though it has slightly less range.
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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
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Extra-compressed
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18
3
10
4
11
Orwell
The 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.
3
8
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