Lumatone mapping for 83edo: Difference between revisions

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== Ripple and Miracle mapping ==

[[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 {{nowrap|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.

[[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 {{nowrap|(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]] {{nowrap|([[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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 == Ripple and Miracle mapping ==
-[[Bryan Deister]] has used the [[10L&nbsp;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 {{nowrap|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.
+[[Bryan Deister]] has used the [[10L&nbsp;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 {{nowrap|(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]] {{nowrap|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of Miracle, but only needing to use the flat fifth.