Lumatone mapping for 118edo: Difference between revisions

→Diatonic: Add demo video
→Diatonic: Insert Hemidiatonic after this, starting with Bryan Deister's flat hemififth mapping
 
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== Diatonic ==
== Diatonic ==
Note that due to the size of the edo, this covers less than half of its notes. Despite the missing notes, [[Bryan Deister]] shows this mapping in action in [https://www.youtube.com/shorts/ZraDAIOSkBQ ''118edo improv''] (2026).
Note that due to the size of the edo, this covers less than half of its notes.  
{{Lumatone EDO mapping|n=118|start=4|xstep=20|ystep=-11}}
{{Lumatone EDO mapping|n=118|start=4|xstep=20|ystep=-11}}


Since 118edo is a [[schismatic]] tuning, the best approximation to the 5th harmonic is the diminished fourth. There is an alternate diatonic scale that makes near perfect [[5-limit]] chords easy to play, but it has an octave stretch of approximately half a syntonic comma. Since you can access nearly every note in alternating octaves, this may actually be advantageous.
Since 118edo is a [[schismatic]] tuning, the best approximation to the 5th harmonic is the diminished fourth. There is an alternate diatonic scale that makes near perfect [[5-limit]] chords easy to play, but it has an octave stretch of approximately half a syntonic comma. Since you can access nearly every note in alternating octaves, this may actually be advantageous.
{{Lumatone EDO mapping|n=118|start=108|xstep=19|ystep=-7}}
{{Lumatone EDO mapping|n=118|start=108|xstep=19|ystep=-7}}
== Hemidiatonic ==
[[Bryan Deister]] divided the flat (118bb) fifth in half, along with the octave, in [https://www.youtube.com/shorts/ZraDAIOSkBQ ''118edo improv''] (2026), generating a [[10L 4s]] scale (9:7 step ratio). This still misses some notes, but much less than half. The semioctaves (and thus the octaves) are level, and the range is just under five of them.
{{Lumatone EDO mapping|n=118|start=108|xstep=9|ystep=-2}}


== Parakleismic ==
== Parakleismic ==