Lumatone mapping for 48edo: Difference between revisions

ArrowHead294 (talk | contribs)
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Yourmusic Productions (talk | contribs)
Went through all the temperaments and this is actually the one that makes simple ratios easiest to play together.
 
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{{Lumatone mapping intro}} If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[tetracot]] mapping, which is probably the most efficient and intuitive way of organising its intervals. Though the [[7L 6s]] MOS has a 6:1 step ratio, making it very lopsided.
{{Lumatone mapping intro}}
 
== Tetracot ==
If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[Tetracot]] mapping, which is probably the most efficient and intuitive way of organising its intervals. Though, the [[7L 6s]] MOS has a 6:1 step ratio, making it very lopsided.
 
[[Bryan Deister]] demonstrates this layout (albeit with range restricted to 1 MIDI channel) in [https://www.youtube.com/shorts/w1m9PMj0Ato ''48edo layout''] (2025).
{{Lumatone EDO mapping|n=48|start=33|xstep=7|ystep=-1}}
{{Lumatone EDO mapping|n=48|start=33|xstep=7|ystep=-1}}


== Doublewide ==
If you don't mind skipping the occasional step, the [[doublewide]] mapping expands your range and is particularly efficient at spanning the 11-limit.
{{Lumatone EDO mapping|n=48|start=5|xstep=11|ystep=-9}}


There are three other mappings that reach the perfect fith in 4 generator steps that might also be useful. These are the [[Negri]] mapping
== Other mappings ==
There are three other mappings that reach the perfect fifth in 4 generator steps that might also be useful. These are the [[Negri]], [[Squares]], and [[Buzzard]] mappings.
 
=== Negri ===
{{Lumatone EDO mapping|n=48|start=4|xstep=5|ystep=3}}
{{Lumatone EDO mapping|n=48|start=4|xstep=5|ystep=3}}


 
=== Squares ===
The [[Squares]] mapping
{{Lumatone EDO mapping|n=48|start=29|xstep=3|ystep=8}}
{{Lumatone EDO mapping|n=48|start=29|xstep=3|ystep=8}}


 
=== Buzzard ===
And the [[Buzzard]] mapping.
{{Lumatone EDO mapping|n=48|start=7|xstep=9|ystep=-8}}
{{Lumatone EDO mapping|n=48|start=7|xstep=9|ystep=-8}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}