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. The range is still nearly five octaves, although instead of missing the last note of the highest octave, this layout misses the note two before that. [[Bryan Deister]] has demonstrated this layout in [https://www.youtube.com/shorts/uVZ6tJ1y6ak ''34edo improv''] (2025).

[[~~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. The range is still nearly five octaves, although instead of missing the last note of the highest octave, this layout misses the note two before that. [[Bryan Deister]] has demonstrated this layout in [https://www.youtube.com/shorts/uVZ6tJ1y6ak ''34edo improv''] (2025).
+{{Lumatone EDO mapping|n=34|start=31|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}}