Lumatone mapping for 83edo: Difference between revisions

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Lumatone mapping for 83edo, including Bryan Deister's tested layout that covers the full gamut
 
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<-- {{Lumatone mapping intro}} --> There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.
There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.


== Standard Lumatone Mapping for Pythagorean ==
== Standard Lumatone Mapping for Pythagorean ==

Revision as of 06:49, 23 March 2025

There are many conceivable ways to map 83edo onto the onto the Lumatone keyboard. However, the Standard Lumatone mapping for Pythagorean is unable to cover the full gamut of every octave, with both the sharp (patent val) and flat (b val) versions having many skipped notes.

Standard Lumatone Mapping for Pythagorean

If not for the problem of incomplete gamut, the sharp version would be a respectable superpyth mapping (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves); while the flat version would be a respectable flattone mapping.

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Ripple/Miracle Mapping

Bryan Deister has used the 10L 1s layout for 83edo, as demonstrated in microtonal improvisation in 83edo (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of 27/25, as in ripple temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and miracle temperaments, the generator can be constituted as a flat secor (16/15 ~ 15/14), using the 83b val — not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.

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