Lumatone mapping for 82edo: Difference between revisions

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Bischismic: Insert Bryan Deister's Magic (Divination/Soothsaying) related Lumatone mapping after this
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{{Lumatone EDO mapping|n=82|start=67|xstep=7|ystep=-1}}
{{Lumatone EDO mapping|n=82|start=67|xstep=7|ystep=-1}}
== Magic (Divination/Soothsaying) related Lumatone mappings ==
[[Bryan Deister]] has demonstrated a [[8L 6s]] mapping of [[82edo]]. Being even 82edo supports a [[semioctave]] period, with the diagassormisma ([[3042/3025]]) being tempered out in the [[patent val]] or the kalisma ([[9801/9800]]) being tempered out in the 82e val; this enables it to use the (somewhat sharp) septimal major third ~[[9/7]] (as 30\82) as a generator (which would be [[contorted]] down to [[41edo]] with a whole octave period), in a temperament like [[Magic family#Soothsaying|Soothsaying]] or [[Magic family#Divination|Divination]], but using the septimal major third as a generator instead of the classic major third ~[[5/4]].  (Since 82edo also supports actual Soothsaying in its patent val and actual Divination in its 82e val, it is also possible to use generator 26\82, the somewhat flat ~[[5/4]], although the resulting [[6L 4s]] scale is a bit more tricky to play using this layout.) The range is about 2¾ octaves with no missed notes, and the octaves slant down.
{{Lumatone EDO mapping|n=82|start=4|xstep=8|ystep=-5}}


== Other mappings ==
== Other mappings ==