Lumatone mapping for 44edo: Difference between revisions

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{{Lumatone mapping intro}} You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].

== Antidiatonic ==

You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].

== Neutral thirds ==

~~Slicing~~ the perfect ~~5th or 4th~~ in half ~~are also fairly good options~~, ~~although the semiquartal layout does not cover the whole gamut unless expanded~~ from the [[~~4L 1s]] to [[5L 4s]]. Additionally, the [[5L 4s~~]] ~~MOS has a very hard step ratio of 8~~:~~1, making it very lopsided.~~

Another option is to slice the perfect fifth in half, giving this mapping, which is derived from the [[Lumatone mapping for neutral thirds scales]]:

== Semiquartal ==

Slicing the perfect fourth in half also works, but the [[4L 1s]] mapping does not cover the whole gamut:

Expanding this to the [[5L 4s]] mapping solves this problem, but the scale has an 8:1 step ratio, making it very lopsided.

== Hemifourths ==

However, it is the [[Diaschismic_family#Hemifourths|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.

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-{{Lumatone mapping intro}} You can use the b&nbsp;val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
+{{Lumatone mapping intro}}
+== Antidiatonic ==
+You can use the b&nbsp;val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
 {{Lumatone EDO mapping|n=44|start=28|xstep=6|ystep=1}}
+== Neutral thirds ==
-Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal layout does not cover the whole gamut unless expanded from the [[4L&nbsp;1s]] to [[5L&nbsp;4s]]. Additionally, the [[5L&nbsp;4s]] MOS has a very hard step ratio of 8:1, making it very lopsided.
+Another option is to slice the perfect fifth in half, giving this mapping, which is derived from the [[Lumatone mapping for neutral thirds scales]]:
 {{Lumatone EDO mapping|n=44|start=33|xstep=5|ystep=3}}
+== Semiquartal ==
+Slicing the perfect fourth in half also works, but the [[4L&nbsp;1s]] mapping does not cover the whole gamut:
 {{Lumatone EDO mapping|n=44|start=23|xstep=9|ystep=-1}}
+Expanding this to the [[5L&nbsp;4s]] mapping solves this problem, but the scale has an 8:1 step ratio, making it very lopsided.
 {{Lumatone EDO mapping|n=44|start=0|xstep=8|ystep=-7}}
+== Hemifourths ==
 However, it is the [[Diaschismic_family#Hemifourths|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.
 {{Lumatone EDO mapping|n=44|start=1|xstep=9|ystep=-5}}
 {{Navbox Lumatone}}