Lumatone mapping for 97edo: Difference between revisions

If not for the problem of failing to cover the complete gamut (such as on a hypothetical XL-size Lumatone having at least 485 keys within the span of five octaves), the mildly sharp (patent val) version would be a respectable mapping to use at the intersection of [[Immunity]] with [[Orson]]; while the flat version would be a plausible (although overly complex) [[Flattone]] mapping (using the 97bcc val). The bb (highly sharp) val falls on [[Magic]]; but for Magic, the fifth is not the generator, and optimal tunings for Magic have a better fifth anyway, so a diatonic mapping does not suit the purpose of using 97edo in a Magic-like temperament (assuming a derivative that gives easy access to both the sharp fifth and the patent fifth), even if one had a hypothetical XL-sized Lumatone.

 

A quasi-diatonic layout is also possible, which functions similarly to a diatonic mapping, but with the octaves shifting pitch class up by 1\97 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/6iXy1D9RZ-U ''Charlie's Inferno - That Handsome Devil (microtonal cover in 97edo)''] (2025), with the MIDI mapping set to octave 1 | octave 2 | octave 2 | octave 3 | octave 3 to get all of the notes within each octave other than the bass, at the cost of less range. (In the demonstration video, note 0 is also shifted to appear where note 2 appears here.)

{{Lumatone EDO mapping|n=97|start=93|xstep=16|ystep=-7}}

[[Bryan Deister]] has used a layout for [[97edo]] that provides both [[16L 1s]] and [[15L 7s]] scales (in both cases with 6:1 step ratio), as demonstrated in [https://www.youtube.com/watch?v=hXDdKO3-RL4 ''microtonal improvisation in 97edo''] (2025). Although 97edo is at the intersection of [[Immunity]] and [[Orson]], this layout does not closely match either temperament, instead using a rightward generator 6\97 which is very close to [[24/23]], and an upward generator 5\97 which is very close to [[29/28]]. The range is less than 2 octaves, and the octaves slant upwards if following the 16L 1s scale but are nearly level if following the 15L 7s scale; all notes are represented at least once (although getting this within a full 0 to 0 octave requires shifting the 0 point 1 key right from Bryan Deister's usual placement in the lower left corner, to avoid cutting off some notes on the left end).