Lumatone mapping for 95edo: Difference between revisions

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There are many conceivable ways to map [[95edo]] onto the onto the Lumatone keyboard. Although 95edo is a dual-fifth temperament, the [[Standard Lumatone mapping for Pythagorean]] only works for the sharp fifth (95 patent val), because the flat fifth (95b val) is shared with [[19edo]], thereby yielding five mutually-exclusive rings of fifths. Due to the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.

There are many conceivable ways to map [[95edo]] onto the onto the Lumatone keyboard. Although 95edo is a [[dual-fifth]] temperament, the [[Standard Lumatone mapping for Pythagorean]] only works for the sharp fifth (95 patent val), because the flat fifth (95b val) is shared with [[19edo]], thereby yielding five mutually-exclusive rings of fifths. Due to the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.

== Diatonic (sharp fifth) ==

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== Tetracot ==

However, the best approximation to [[5/4]] in the diatonic mapping is a quadruply augmented 7th, while the second best is a quadruply diminished 7th, neither which are easy to play with the root note. The [[tetracot]] mapping works better for hitting harmonics, although the [[6L 1s]] mapping once again does not cover the whole gamut and the [[7L 6s]] one has octaves all over the place.

== Magus ==

The [[magus]] mapping is the optimal patent val for the temperament in the 11-limit and also fairly efficient, but very lopsided.

== Quasi-Miracle + Ripple Lumatone mappings ==

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-There are many conceivable ways to map [[95edo]] onto the onto the Lumatone keyboard. Although 95edo is a dual-fifth temperament, the [[Standard Lumatone mapping for Pythagorean]] only works for the sharp fifth (95 patent val), because the flat fifth (95b val) is shared with [[19edo]], thereby yielding five mutually-exclusive rings of fifths. Due to the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.
+There are many conceivable ways to map [[95edo]] onto the onto the Lumatone keyboard. Although 95edo is a [[dual-fifth]] temperament, the [[Standard Lumatone mapping for Pythagorean]] only works for the sharp fifth (95 patent val), because the flat fifth (95b val) is shared with [[19edo]], thereby yielding five mutually-exclusive rings of fifths. Due to the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.
 == Diatonic (sharp fifth) ==
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 {{Lumatone EDO mapping|n=95|start=14|xstep=17|ystep=-12}}
+== Tetracot ==
+However, the best approximation to [[5/4]] in the diatonic mapping is a quadruply augmented 7th, while the second best is a quadruply diminished 7th, neither which are easy to play with the root note. The [[tetracot]] mapping works better for hitting harmonics, although the [[6L&nbsp;1s]] mapping once again does not cover the whole gamut and the [[7L&nbsp;6s]] one has octaves all over the place.
+{{Lumatone EDO mapping|n=95|start=71|xstep=14|ystep=-3}}
+{{Lumatone EDO mapping|n=95|start=0|xstep=11|ystep=-8}}
+== Magus ==
+The [[magus]] mapping is the optimal patent val for the temperament in the 11-limit and also fairly efficient, but very lopsided.
+{{Lumatone EDO mapping|n=95|start=46|xstep=2|ystep=23}}
 == Quasi-Miracle + Ripple Lumatone mappings ==