Lumatone mapping for 24edo: Difference between revisions

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== 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, 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. [[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 17: / Line 17: @@
 == 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, 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. [[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 28: @@
 {{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}}