Lumatone mapping for 90edo: Difference between revisions

Line 5:

== Diaschismic ==

== Diaschismic + Charismic ==

On the other hand, the golden [[diaschismic]] mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from [[2L 8s]] to [[10L 2s]] to hit every single note.

On the other hand, the golden [[diaschismic]] mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from [[2L 8s]] to [[10L 2s]] to hit every single note. The rightward generator 8\90 is a semitone that functions as both ~[[16/15]] and ~[[17/16]] (the charisma [[256/255]] is tempered out). Splitting the octave in half (the [[diaschisma]] 2048/2025 is tempered out) enables this generator to produce these mappings without [[contorsion]].

=== 2L 8s ===

With [[2L 8s]], the range is three octaves with a very mild upwards slope, but some notes are missing.

=== 10L 2s ===

[[Bryan Deister]] has demonstrated the [[Diaschismic]]-[[256/255|Charismic]] [[10L 2s]] mapping for [[90edo]] (with 8:5 step ratio), in [https://www.youtube.com/shorts/0j33e4F-4jY ''microtonal improvisation in 90edo''] (20025). The range is about 2⅔ octaves with no missed notes, with a mild upward slope.

@@ Line 5: / Line 5: @@
 {{Lumatone EDO mapping|n=90|start=12|xstep=16|ystep=-11}}
-== Diaschismic ==
+== Diaschismic + Charismic ==
-On the other hand, the golden [[diaschismic]] mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from [[2L&nbsp;8s]] to [[10L&nbsp;2s]] to hit every single note.
+On the other hand, the golden [[diaschismic]] mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from [[2L&nbsp;8s]] to [[10L&nbsp;2s]] to hit every single note. The rightward generator 8\90 is a semitone that functions as both ~[[16/15]] and ~[[17/16]] (the charisma [[256/255]] is tempered out). Splitting the octave in half (the [[diaschisma]] 2048/2025 is tempered out) enables this generator to produce these mappings without [[contorsion]].
+=== 2L 8s ===
+With [[2L&nbsp;8s]], the range is three octaves with a very mild upwards slope, but some notes are missing.
 {{Lumatone EDO mapping|n=90|start=36|xstep=8|ystep=5}}
+=== 10L 2s ===
+[[Bryan Deister]] has demonstrated the [[Diaschismic]]-[[256/255|Charismic]] [[10L&nbsp;2s]] mapping for [[90edo]] (with 8:5 step ratio), in [https://www.youtube.com/shorts/0j33e4F-4jY ''microtonal improvisation in 90edo''] (20025). The range is about 2⅔ octaves with no missed notes, with a mild upward slope.
 {{Lumatone EDO mapping|n=90|start=84|xstep=8|ystep=-3}}
 {{Navbox Lumatone}}