Lumatone mapping for 48edo: Difference between revisions

(5 intermediate revisions by 2 users not shown)

Line 1:

~~There are many conceivable ways to map [[48edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division|highly composite]], many other mappings will also fail to cover the entire gamut.~~ 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.

== 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).

== 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.

There are three other mappings that reach the perfect ~~5th~~ 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 ===

=== Squares ===

~~The [[~~Squares~~]] mapping~~

=== Buzzard ===

~~Or the [[~~Buzzard~~]] mapping.~~

@@ Line 1: / Line 1: @@
-There are many conceivable ways to map [[48edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division|highly composite]], many other mappings will also fail to cover the entire gamut. 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.
+{{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&nbsp;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}}
+== 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 5th 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}}
+=== Squares ===
-The [[Squares]] mapping
 {{Lumatone EDO mapping|n=48|start=29|xstep=3|ystep=8}}
+=== Buzzard ===
-Or the [[Buzzard]] mapping.
 {{Lumatone EDO mapping|n=48|start=7|xstep=9|ystep=-8}}
 {{Navbox Lumatone}}