Lumatone mapping for 83edo: Difference between revisions

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[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''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.
[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''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.
{{Lumatone EDO mapping|n=83|start=59|xstep=8|ystep=-1}}
{{Lumatone EDO mapping|n=83|start=59|xstep=8|ystep=-1}}
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