Lumatone mapping for 34edo: Difference between revisions

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~~34edo is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard~~ Lumatone mapping ~~for Pythagorean]] cannot be used.~~

~~A [[5L 3s]]-based mapping for~~ [[~~34edo~~]]:

== Mabila ==

You can use the b val instead, which generates [[Mabila]], but this puts the perfect fifth in awkward places.

A [[6L 1s]]-~~based mapping:~~

== Tetracot ==

The [[6L 1s]] [[Tetracot]] mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect fifth is in a straight line from the root, the [[7L 6s]] MOS makes 5-limit major and minor chords very easily accessible, and single steps are neatly mapped to the vertical axis. However, the range is reduced to slightly over four octaves.

[[~~Category~~:Lumatone ~~mappings~~]]

== Semiquartal (Immunity) ==

If you want greater range you can slice the perfect fourth in two and use the [[Immunity]] mapping. However, the resulting [[5L 4s]] MOS has a 6:1 step ratio, making it quite lopsided:

== Hanson ==

The [[Hanson]] mapping also puts 5-limit consonances within easy reach of each other, but does not cover the full gamut unless expanded from the [[3L 1s]] mapping to [[4L 3s]].

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-edo is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] cannot be used.
+{{Lumatone mapping intro}}
-A [[5L 3s]]-based mapping for [[34edo]]:
+== Mabila ==
-{{Lumatone EDO mapping|n=34|start=-2|xstep=5|ystep=-2}}
+You can use the b&nbsp;val instead, which generates [[Mabila]], but this puts the perfect fifth in awkward places.
+{{Lumatone EDO mapping|n=34|start=14|xstep=4|ystep=3}}
-A [[6L 1s]]-based mapping:
+== Tetracot ==
-{{Lumatone EDO mapping|n=34|start=16|xstep=5|ystep=-1}}
+The [[6L&nbsp;1s]] [[Tetracot]] mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect fifth is in a straight line from the root, the [[7L&nbsp;6s]] MOS makes 5-limit major and minor chords very easily accessible, and single steps are neatly mapped to the vertical axis. However, the range is reduced to slightly over four octaves.
+{{Lumatone EDO mapping|n=34|start=25|xstep=5|ystep=-1}}
-[[Category:Lumatone mappings]]
+== Semiquartal (Immunity) ==
+If you want greater range you can slice the perfect fourth in two and use the [[Immunity]] mapping. However, the resulting [[5L&nbsp;4s]] MOS has a 6:1 step ratio, making it quite lopsided:
+{{Lumatone EDO mapping|n=34|start=19|xstep=7|ystep=-1}}
+== Hanson ==
+The [[Hanson]] mapping also puts 5-limit consonances within easy reach of each other, but does not cover the full gamut unless expanded from the [[3L&nbsp;1s]] mapping to [[4L&nbsp;3s]].
+{{Lumatone EDO mapping|n=34|start=19|xstep=9|ystep=-2}}
+{{Lumatone EDO mapping|n=34|start=3|xstep=7|ystep=-5}}
+{{Navbox Lumatone}}