Lumatone mapping for 24edo: Difference between revisions

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=== Standard ===

The official Lumatone manual contains a rotated version of a [[Lumatone mapping for neutral thirds scales]] as "Preset 6 — 24-ET Isomorphic" in version 1.0 and "Preset 7 — 24-EDO Isomorphic" in version 1.21.

The official Lumatone manual contains a rotated version of a [[Lumatone mapping for neutral thirds scales]] as "Preset 6 — 24-ET Isomorphic" in version 1.0 and "Preset 7 — 24-EDO Isomorphic" in version 1.21. This layout is demonstrated on the official Lumatone youtube channel. [https://www.youtube.com/watch?v=3okSkgpCcqc Learning Lumatone: Episode 23 - "24-EDO Basics"]

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The above layout has a potential disadvantage, in that each successive octave is now located substantially lower on the keyboard than the previous one, eventually requiring a jump of hand position where it wraps around to the top again. Inverting the direction of the chroma keeps octaves closer to horizontal, but going down to move pitch upward can seem counterintuitive.

=== Emphasizing Neutral Seconds ===

Another neutral thirds mapping uses a [[6L 3s]] scale (3:2 step ratio) to make [[24edo]] neutral seconds (3\24) more easily accessible, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/3ZvbKIGBLoY ''24edo groove''] (2026). The range is only four octaves, but the octaves are close enough to level that the layout could be split into two manuals with some keys to spare, although the slight downwards octave slope would make them noticeably lopsided.

=== Compressed ===

[[Bryan Deister]] has used the [[3L 1s]] layout, as demonstrated in [http://www.youtube.com/shorts/ZnAl6EN_wq4 In Your Hands (microtonal 24edo) (alt layout)] (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.

[[Bryan Deister]] has used the [[3L 1s]] (7:3 step ratio) layout, as demonstrated in [http://www.youtube.com/shorts/ZnAl6EN_wq4 In Your Hands (microtonal 24edo) (alt layout)] (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.

== Semiquartal ==

The [[4L 1s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, also has a wide range, keeps octaves close to horizontal, makes the diatonic scale relatively easy to play, and puts the chroma in the right direction on the vertical axis, so it may be preferable.

The [[4L 1s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, also has a wide range, keeps octaves close to horizontal, makes the diatonic scale relatively easy to play, and puts the chroma in the right direction on the vertical axis, so it may be preferable. The rightward generator 5\24 functions as ~[[15/13]] and ~[[22/19]] (being in between these, and representing both highly accurately), and as expected for [[Semaphore]] temperament, is half of a fourth (~[[4/3]], also represented highly accurately); four of them function as ~[[9/5]] and ~[[16/9]], and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~[[33/32]]) that 24edo is famous for. The range is just under seven octaves. [[Bryan Deister]] uses this in [https://www.youtube.com/shorts/Mjzfb_-3kS4 ''24edo jam''] (2025) with a different zero point and the edges cut off due to only using one midi channel.

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~~== Semaphore ==~~

[[Bryan Deister]] has used the [[4L 1s]] layout (with 5:4 step ratio) for [[24edo]], as demonstrated in [https://www.youtube.com/shorts/Mjzfb_-3kS4 ''24edo jam''] (2025). As expected, the rightward generator 5\24 functions as ~[[15/13]] and ~[[22/19]] (being in between these, and representing both highly accurately), and as expected, is half of a fourth (~[[4/3]], also represented highly accurately); four of them function as ~[[9/5]] and ~[[16/9]], and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~[[33/32]]) that 24edo is famous for. The range is just under six octaves, although only just over five are shown in the video due to use of just one MIDI channel (128 notes). Duplication of notes helps with ease of use, but is slightly short of the extent needed for splitting this layout into two manuals. The octaves slant upwards slightly.

~~{{Lumatone EDO mapping|n=24|start=18|xstep=5|ystep=-1}}~~

@@ Line 5: / Line 5: @@
 === Standard ===
-The official Lumatone manual contains a rotated version of a [[Lumatone mapping for neutral thirds scales]] as "Preset 6&nbsp;&mdash; 24-ET Isomorphic" in version 1.0 and "Preset 7&nbsp;&mdash; 24-EDO Isomorphic" in version 1.21.
+The official Lumatone manual contains a rotated version of a [[Lumatone mapping for neutral thirds scales]] as "Preset 6&nbsp;&mdash; 24-ET Isomorphic" in version 1.0 and "Preset 7&nbsp;&mdash; 24-EDO Isomorphic" in version 1.21. This layout is demonstrated on the official Lumatone youtube channel. [https://www.youtube.com/watch?v=3okSkgpCcqc Learning Lumatone: Episode 23 - "24-EDO Basics"]
 {{Lumatone EDO mapping|n=24|start=0|xstep=4|ystep=-1}}
@@ Line 11: / Line 11: @@
 The above layout has a potential disadvantage, in that each successive octave is now located substantially lower on the keyboard than the previous one, eventually requiring a jump of hand position where it wraps around to the top again. Inverting the direction of the chroma keeps octaves closer to horizontal, but going down to move pitch upward can seem counterintuitive.
 {{Lumatone EDO mapping|n=24|start=0|xstep=3|ystep=1}}
+=== Emphasizing Neutral Seconds ===
+Another neutral thirds mapping uses a [[6L&nbsp;3s]] scale (3:2 step ratio) to make [[24edo]] neutral seconds (3\24) more easily accessible, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/3ZvbKIGBLoY ''24edo groove''] (2026). The range is only four octaves, but the octaves are close enough to level that the layout could be split into two manuals with some keys to spare, although the slight downwards octave slope would make them noticeably lopsided.
+{{Lumatone EDO mapping|n=24|start=0|xstep=3|ystep=-1}}
 === Compressed ===
-[[Bryan Deister]] has used the [[3L&nbsp;1s]] layout, as demonstrated in [http://www.youtube.com/shorts/ZnAl6EN_wq4 In Your Hands (microtonal 24edo) (alt layout)] (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.
+[[Bryan Deister]] has used the [[3L&nbsp;1s]] (7:3 step ratio) layout, as demonstrated in [http://www.youtube.com/shorts/ZnAl6EN_wq4 In Your Hands (microtonal 24edo) (alt layout)] (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.
 {{Lumatone EDO mapping|n=24|start=2|xstep=7|ystep=-4}}
 == Semiquartal ==
-The [[4L&nbsp;1s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, also has a wide range, keeps octaves close to horizontal, makes the diatonic scale relatively easy to play, and puts the chroma in the right direction on the vertical axis, so it may be preferable.
+The [[4L&nbsp;1s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, also has a wide range, keeps octaves close to horizontal, makes the diatonic scale relatively easy to play, and puts the chroma in the right direction on the vertical axis, so it may be preferable. The rightward generator 5\24 functions as ~[[15/13]] and ~[[22/19]] (being in between these, and representing both highly accurately), and as expected for [[Semaphore]] temperament, is half of a fourth (~[[4/3]], also represented highly accurately); four of them function as ~[[9/5]] and ~[[16/9]], and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~[[33/32]]) that 24edo is famous for. The range is just under seven octaves. [[Bryan Deister]] uses this in [https://www.youtube.com/shorts/Mjzfb_-3kS4 ''24edo jam''] (2025) with a different zero point and the edges cut off due to only using one midi channel.
 {{Lumatone EDO mapping|n=24|start=15|xstep=5|ystep=-1}}
@@ Line 28: / Line 32: @@
 {{Lumatone EDO mapping|n=24|start=0|xstep=2|ystep=5}}
-== Semaphore ==
-[[Bryan Deister]] has used the [[4L&nbsp;1s]] layout (with 5:4 step ratio) for  [[24edo]], as demonstrated in [https://www.youtube.com/shorts/Mjzfb_-3kS4 ''24edo jam''] (2025). As expected, the rightward generator 5\24 functions as ~[[15/13]] and ~[[22/19]] (being in between these, and representing both highly accurately), and as expected, is half of a fourth (~[[4/3]], also represented highly accurately); four of them function as ~[[9/5]] and ~[[16/9]], and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~[[33/32]]) that 24edo is famous for. The range is just under six octaves, although only just over five are shown in the video due to use of just one MIDI channel (128 notes). Duplication of notes helps with ease of use, but is slightly short of the extent needed for splitting this layout into two manuals. The octaves slant upwards slightly.
-{{Lumatone EDO mapping|n=24|start=18|xstep=5|ystep=-1}}
 {{Navbox Lumatone}}