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 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 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.

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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 == 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 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 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.
+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}}