Lumatone mapping for 16edo: Difference between revisions

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There are many conceivable ways to map [[16edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
{{Lumatone mapping intro}}
 
== Antidiatonic ==
Since 16edo is a [[mavila]] temperament, its best fifths are quite dissonant and the chromatic semitone goes in the opposite direction than it usually does. Though, its major third and harmonic seventh are somewhat better. [[Bryan Deister]] demonstrates this layout in [https://www.youtube.com/shorts/PXiWkZ9wDdU ''16edo waltz''] (2025).
{{Lumatone EDO mapping|n=16|start=8|xstep=2|ystep=1}}
{{Lumatone EDO mapping|n=16|start=8|xstep=2|ystep=1}}


However, as 16edo is a [[mavila]] temperament, it's best fifths are quite dissonant and the chromatic semitone goes in the opposite direction to usual. It's major third and harmonic seventh are somewhat better. As the [[Lemba]] mapping reaches both these intervals with a single generator step, it is probably easier to find consonant chords using it.
== Lemba ==
As the [[Lemba]] mapping reaches both these intervals with a single generator step, it is probably easier to find consonant chords using it. [[Bryan Deister]] demonstrates this layout in [https://www.youtube.com/shorts/IfVvjoRqqNk ''16edo jam''] (2025).
{{Lumatone EDO mapping|n=16|start=15|xstep=3|ystep=-1}}
{{Lumatone EDO mapping|n=16|start=15|xstep=3|ystep=-1}}


If you want even greater range, there are the [[gorgo]] or [[magic]] mappings.
== Gorgo + Semaja ==
You can get range of over six octaves (with a gentle upwards slope) with the [[1L 4s]] (4:3 step ratio) mapping of [[Gorgo]] and [[Semaja]].
{{Lumatone EDO mapping|n=16|start=1|xstep=3|ystep=1}}
{{Lumatone EDO mapping|n=16|start=1|xstep=3|ystep=1}}
== Magic (Muggles/Sephiroth) ==
You can get range of over eight octaves (with a very gentle upwards slope) with the [[3L 1s]] (5:1 step ratio) mapping of [[Magic]] ([[Muggles]]/[[Sephiroth]]).
{{Lumatone EDO mapping|n=16|start=9|xstep=5|ystep=-4}}
{{Lumatone EDO mapping|n=16|start=9|xstep=5|ystep=-4}}


{{Lumatone mapping navigation|16}}
== Diminished + Gorgo + Magic (Muggles/Sephiroth) + Semaja ==
 
One of the temperaments [[16edo]] lends itself to most obviously is [[Diminished]], with a [[4L 4s]] scale having a 3:1 step ratio, as demonstrated to accompany a vocal work by [[Bryan Deister]], in [https://www.youtube.com/shorts/UA97cjUN5eE ''Doubt by Bryan Deister (microtonal 16edo snippet)''] (2025). This yields all of the temperaments and scales of the previous two mappings, with range nearly as great as that of the Magic (Muggles/Sephiroth) mapping at eight octaves, although the octaves slope up with the rightward key progression.
{{Lumatone EDO mapping|n=16|start=0|xstep=4|ystep=-1}}


[[Category:Lumatone mappings]] [[Category:16edo]]
{{Navbox Lumatone}}

Latest revision as of 10:09, 18 November 2025

There are many conceivable ways to map 16edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Antidiatonic

Since 16edo is a mavila temperament, its best fifths are quite dissonant and the chromatic semitone goes in the opposite direction than it usually does. Though, its major third and harmonic seventh are somewhat better. Bryan Deister demonstrates this layout in 16edo waltz (2025).

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Lemba

As the Lemba mapping reaches both these intervals with a single generator step, it is probably easier to find consonant chords using it. Bryan Deister demonstrates this layout in 16edo jam (2025).

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Gorgo + Semaja

You can get range of over six octaves (with a gentle upwards slope) with the 1L 4s (4:3 step ratio) mapping of Gorgo and Semaja.

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Magic (Muggles/Sephiroth)

You can get range of over eight octaves (with a very gentle upwards slope) with the 3L 1s (5:1 step ratio) mapping of Magic (Muggles/Sephiroth).

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Diminished + Gorgo + Magic (Muggles/Sephiroth) + Semaja

One of the temperaments 16edo lends itself to most obviously is Diminished, with a 4L 4s scale having a 3:1 step ratio, as demonstrated to accompany a vocal work by Bryan Deister, in Doubt by Bryan Deister (microtonal 16edo snippet) (2025). This yields all of the temperaments and scales of the previous two mappings, with range nearly as great as that of the Magic (Muggles/Sephiroth) mapping at eight octaves, although the octaves slope up with the rightward key progression.

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