Lumatone mapping for 118edo: Difference between revisions

Undid revision 241040 by Lucius Chiaraviglio (talk) Undo because the truth is even weirder
Tag: Undo
→Diatonic: Insert Hemidiatonic after this, starting with Bryan Deister's flat hemififth mapping
 
Line 4: Line 4:
Note that due to the size of the edo, this covers less than half of its notes.  
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 ==