Lumatone mapping for 24edo: Difference between revisions

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== Neutral third generated layouts ==

One way to map 24edo onto the Lumatone is by using the neutral third which is (one-half of the perfect fifth) as a generator, making these layouts of potential interest for [[Mohajira]] and [[Arabic, Turkish, Persian|Arabic, Turkish, and Persian]] music.

=== Standard ===

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

~~However~~, 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.

=== Inverted ===

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.

The ~~semiquartal (~~[[5L 4s]]) layout, ~~which uses 2.5 semitones as~~ the ~~generator, has a wider~~ range~~, keeps~~ octaves ~~closer to horizontal~~, ~~makes~~ the diatonic scale ~~relatively~~ easy ~~to play, and naturally puts the chroma in the right direction on the vertical axis, so it may be preferable~~.

=== Alternative ===

The [[3L 4s]] layout, as demonstrated by [[Bryan Deister]] 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~~ 4s]] layout, ~~as demonstrated in [https://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. The~~ generator ~~is half~~ a ~~fifth~~, ~~making this layout of potential interest for [[Mohajira]]. 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 [[5L 4s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, 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.

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 {{Lumatone mapping intro}}
+== Neutral third generated layouts ==
+One way to map 24edo onto the Lumatone is by using the neutral third which is (one-half of the perfect fifth) as a generator, making these layouts of potential interest for [[Mohajira]] and [[Arabic, Turkish, Persian|Arabic, Turkish, and Persian]] music.
+=== Standard ===
 The official Lumatone manual contains a rotated version of a [[Lumatone mapping for neutral thirds scales]] as "Preset 6 — 24-ET Isomorphic".
 {{Lumatone EDO mapping|n=24|start=0|xstep=4|ystep=-1}}
-However, 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.
+=== Inverted ===
+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}}
-The semiquartal ([[5L&nbsp;4s]]) layout, which uses 2.5 semitones as the generator, has a wider range, keeps octaves closer to horizontal, makes the diatonic scale relatively easy to play, and naturally puts the chroma in the right direction on the vertical axis, so it may be preferable.
+=== Alternative ===
-{{Lumatone EDO mapping|n=24|start=15|xstep=5|ystep=-1}}
+The [[3L&nbsp;4s]] layout, as demonstrated by [[Bryan Deister]] 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}}
-[[Bryan Deister]] has used the [[3L&nbsp;4s]] layout, as demonstrated in [https://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.  The generator is half a fifth, making this layout of potential interest for [[Mohajira]]. 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 ==
-{{Lumatone EDO mapping|n=24|start=2|xstep=7|ystep=-4}}
+The [[5L&nbsp;4s]] layout, which uses {{frac|2|1|2}} semitones (one-half of the perfect fourth) as the generator, 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.
+{{Lumatone EDO mapping|n=24|start=15|xstep=5|ystep=-1}}
 {{Navbox Lumatone}}