9ed7/3: Difference between revisions

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{{Stub}}
{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}
== Theory ==
=== Harmonics ===
{{Harmonics in equal|9|7|3|intervals=integer|columns=11}}
{{Harmonics in equal|9|7|3|intervals=integer|collapsed=1|start=12|columns=12}}


== Intervals ==
== Intervals ==
{{Interval table}}
{{Interval table}}


== Harmonics ==
== Lumatone mappings ==
{{Harmonics in equal
On the [[Xenharmonic Alliance]] Discord in September 2025, [[Maeve Gutierrez]] noted that the notes of [[3ed7/3]] make for a nice chord when played simultaneously. [[Budjarn Lambeth]] noted that 9ed7/3 is a good tuning for using said chord.
| steps = 9
 
| num = 7
Lambeth suggested the following mappings for using 9ed7/3 on an [[isomorphic keyboard]] like the [[Lumatone]]. He suggested using 1\9<7/3> for the x-steps and 3\9<7/3>\49 for the y-steps or vice versa.
| denom = 3
 
}}
This gives easy access to Gutierrez's 3ed7/3 chord above any note, while also allowing satisfying bends using the [[neutral second]] interval of ~[[11/10]].
{{Harmonics in equal
 
| steps = 9
; x=1, y=3
| num = 7
{{Lumatone EDO mapping|n=9|start=0|xstep=1|ystep=3}}
| denom = 3
 
| start = 12
; x+1, y=-3
| collapsed = 1
{{Lumatone EDO mapping|n=9|start=0|xstep=1|ystep=-3}}
}}
 
; x=3, y=1
{{Lumatone EDO mapping|n=9|start=0|xstep=3|ystep=1}}
 
; x=3, y=-1
{{Lumatone EDO mapping|n=9|start=0|xstep=3|ystep=-1}}
 
== See also ==
* [[6ed7/3]]