Lumatone mapping for 16edo: Difference between revisions

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== 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.

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).

== Lemba ==

As the [[Lemba]] mapping reaches both these intervals with a single generator step, it is probably easier to find consonant chords using it.

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).

== ~~Other mappings~~ ==

== Gorgo + Semaja ==

~~If you want even greater~~ range~~, there are~~ the [[~~gorgo~~]] or [[~~magic~~]] ~~mappings~~.

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]].

~~=== Gorgo ===~~

=== Magic ===

== 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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 == 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.
+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}}
 == Lemba ==
-As the [[Lemba]] mapping reaches both these intervals with a single generator step, it is probably easier to find consonant chords using it.
+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}}
-== Other mappings ==
+== Gorgo + Semaja ==
-If you want even greater range, there are the [[gorgo]] or [[magic]] mappings.
+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]].
-=== Gorgo ===
 {{Lumatone EDO mapping|n=16|start=1|xstep=3|ystep=1}}
-=== Magic ===
+== 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}}
+== 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}}