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]~~].

== 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).

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).

~~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]].

== 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]]).

== 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.

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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}}
-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}}
-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&nbsp;4s]] (4:3 step ratio) mapping of [[Gorgo]] and [[Semaja]].
 {{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&nbsp;1s]] (5:1 step ratio) mapping of [[Magic]] ([[Muggles]]/[[Sephiroth]]).
 {{Lumatone EDO mapping|n=16|start=9|xstep=5|ystep=-4}}
-{{Lumatone mapping navigation}}
+== Diminished + Gorgo + Magic (Muggles/Sephiroth) + Semaja ==
+One of the temperaments [[16edo]] lends itself to most obviously is [[Diminished]], with a [[4L&nbsp;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}}
+{{Navbox Lumatone}}