Lumatone mapping for 83edo: Difference between revisions

(4 intermediate revisions by 2 users not shown)

Line 1:

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~~ ==

== Diatonic ==

If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[Flattone]] mapping. Despite the missing notes, [[Bryan Deister]] has used the sharp version in [https://www.youtube.com/shorts/FFNFQ4H-2D4 ''83edo waltz''] (2025).

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

Line 9:

Line 8:

== Ripple/Miracle ~~Mapping~~ ==

== 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 (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.

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.

@@ Line 1: / Line 1: @@
 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 ==
+== Diatonic ==
+If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[Flattone]] mapping. Despite the missing notes, [[Bryan Deister]] has used the sharp version in [https://www.youtube.com/shorts/FFNFQ4H-2D4 ''83edo waltz''] (2025).
-If not for the problem of incomplete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[flattone]] mapping.
 {{Lumatone EDO mapping|n=83|start=14|xstep=15|ystep=-11}}
@@ Line 9: / Line 8: @@
 {{Lumatone EDO mapping|n=83|start=73|xstep=13|ystep=-4}}
-== Ripple/Miracle Mapping ==
+== 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 (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 &mdash; not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.
+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.
 {{Lumatone EDO mapping|n=83|start=59|xstep=8|ystep=-1}}
 {{Navbox Lumatone}}