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) ==

The 95 patent val has a moderately sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (475 required in the space of five octaves), the diatonic mapping would be a reasonable mapping for a temperament intermediate between [[Superpyth]] and [[Immunity]] on the [[Syntonic–diatonic equivalence continuum]].

=== Quasi-Diatonic ===

A quasi-diatonic layout is also possible, which functions similarly to a diatonic mapping, but with the octaves shifting pitch class up by 2\95 with each higher octave. Thus, despite the missed notes, all notes are accessible in some octaves. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/aQapbuGFnhk ''Impostor Syndrome - Sidney Gish (microtonal cover in 95edo)''] (2025) with the MIDI mapping set to octave 1 | octave 2 | octave 2 | octave 3 | octave 3 | octave 4, to get the greater portion of the notes within each octave other than the bass (which is missing note 0 among other notes, whilethe last octave only has 3 notes represented), at the cost of less range.

== 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.

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.

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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) ==
 The 95 patent val has a moderately sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (475 required in the space of five octaves), the diatonic mapping would be a reasonable mapping for a temperament intermediate between [[Superpyth]] and [[Immunity]] on the [[Syntonic–diatonic equivalence continuum]].
 {{Lumatone EDO mapping|n=95|start=14|xstep=17|ystep=-12}}
+=== Quasi-Diatonic ===
+A quasi-diatonic layout is also possible, which functions similarly to a diatonic mapping, but with the octaves shifting pitch class up by 2\95 with each higher octave. Thus, despite the missed notes, all notes are accessible in some octaves. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/aQapbuGFnhk ''Impostor Syndrome - Sidney Gish (microtonal cover in 95edo)''] (2025) with the MIDI mapping set to octave 1 | octave 2 | octave 2 | octave 3 | octave 3 | octave 4, to get the greater portion of the notes within each octave other than the bass (which is missing note 0 among other notes, whilethe last octave only has 3 notes represented), at the cost of less range.
+{{Lumatone EDO mapping|n=95|start=75|xstep=15|ystep=-4}}
 == 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.
+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}}