Lumatone mapping for 24edo - Revision history

Lucius Chiaraviglio: /* Neutral thirds */ Add Emphasizing Neutral Seconds mapping by Bryan Deister

2026-03-04T08:43:14Z

Neutral thirds: Add Emphasizing Neutral Seconds mapping by Bryan Deister

← Older revision		Revision as of 08:43, 4 March 2026
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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.		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}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=3\|ystep=1}}

			=== 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.
			{{Lumatone EDO mapping\|n=24\|start=0\|xstep=3\|ystep=-1}}

	=== Compressed ===		=== Compressed ===

Lucius Chiaraviglio: /* Compressed */ Insert step ratio of scale

2026-03-03T08:14:12Z

Compressed: Insert step ratio of scale

← Older revision		Revision as of 08:14, 3 March 2026
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	=== Compressed ===		=== 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.
	{{Lumatone EDO mapping\|n=24\|start=2\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=24\|start=2\|xstep=7\|ystep=-4}}

Yourmusic Productions: Add link to video

2025-09-09T11:04:03Z

Add link to video

← Older revision		Revision as of 11:04, 9 September 2025
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	=== Standard ===		=== 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"]
	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-1}}

Lucius Chiaraviglio: /* Semiquartal */ Add back Semaphore temperament

2025-07-18T09:58:32Z

Semiquartal: Add back Semaphore temperament

← Older revision		Revision as of 09:58, 18 July 2025
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	== Semiquartal ==		== 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.
	{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}

Yourmusic Productions: Fix math error.

2025-07-17T06:44:51Z

Fix math error.

← Older revision		Revision as of 06:44, 17 July 2025
Line 17:		Line 17:

	== Semiquartal ==		== 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 ~~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.		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.
	{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}

Yourmusic Productions: This is the same as the already existing semiquartal one with a different zero point so merging info.

2025-07-17T06:42:23Z

This is the same as the already existing semiquartal one with a different zero point so merging info.

← Older revision		Revision as of 06:42, 17 July 2025
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	== Semiquartal ==		== 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.
	{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=24\|start=15\|xstep=5\|ystep=-1}}

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	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}

	~~== 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}}~~

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Barton + Diatonicized Chromaticism */ Add Bryan Deister's Semaphore mapping

2025-07-17T06:33:07Z

Barton + Diatonicized Chromaticism: Add Bryan Deister's Semaphore mapping

← Older revision		Revision as of 06:33, 17 July 2025
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	If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] (step ratio 7:2) [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult. In particular, if one can work with several keys worth of backtracking for the small step (quarter-tone = 1\24), this mapping also supports [[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism ([[11L 2s]]) scale. One problem (apart from the required backtracking) is that Ivan Wyschnegradsky composed for the full 88 note range of each of two (or sometimes four) pianos, while the range of this mapping is just one note short of five octaves; however, since each note is represented at least twice, one approach to work around this problem would be to shift this layout so as to produce two manuals, of which the lower manual would be for the bass octaves and the upper manual for the treble octaves, with two octaves of overlap between the right two octaves of the lower manual and the left two octaves of the upper manual to ensure an easy transition between the divisions of the range.		If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] (step ratio 7:2) [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult. In particular, if one can work with several keys worth of backtracking for the small step (quarter-tone = 1\24), this mapping also supports [[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism ([[11L 2s]]) scale. One problem (apart from the required backtracking) is that Ivan Wyschnegradsky composed for the full 88 note range of each of two (or sometimes four) pianos, while the range of this mapping is just one note short of five octaves; however, since each note is represented at least twice, one approach to work around this problem would be to shift this layout so as to produce two manuals, of which the lower manual would be for the bass octaves and the upper manual for the treble octaves, with two octaves of overlap between the right two octaves of the lower manual and the left two octaves of the upper manual to ensure an easy transition between the divisions of the range.
	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}

			== 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}}

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Barton + Diatonicized Chromaticism */ Try to improve wording for the use case

2025-07-11T15:39:55Z

Barton + Diatonicized Chromaticism: Try to improve wording for the use case

← Older revision		Revision as of 15:39, 11 July 2025
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	== Barton + Diatonicized Chromaticism ==		== Barton + Diatonicized Chromaticism ==
	If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] (step ratio 7:2) [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult. In particular, if one can work with several keys worth of backtracking for the small step (quarter-tone = 1\24), this mapping also supports [[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism ([[11L 2s]]) scale. One problem (apart from the required backtracking) is that Ivan Wyschnegradsky composed for the full 88 note range of each of two (or sometimes four) pianos, while the range of this mapping is just one note short of five octaves; however, since each note is represented at least twice, one approach would be to shift this layout so as to produce two manuals, of which the lower manual would be for the bass octaves and the upper manual for the treble octaves, with overlap to ensure an easy transition between the divisions of the range.		If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] (step ratio 7:2) [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult. In particular, if one can work with several keys worth of backtracking for the small step (quarter-tone = 1\24), this mapping also supports [[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism ([[11L 2s]]) scale. One problem (apart from the required backtracking) is that Ivan Wyschnegradsky composed for the full 88 note range of each of two (or sometimes four) pianos, while the range of this mapping is just one note short of five octaves; however, since each note is represented at least twice, one approach to work around this problem would be to shift this layout so as to produce two manuals, of which the lower manual would be for the bass octaves and the upper manual for the treble octaves, with two octaves of overlap between the right two octaves of the lower manual and the left two octaves of the upper manual to ensure an easy transition between the divisions of the range.
	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Barton */ Potential use case: Ivan Wyschnegradsky's Diatonicized Chromaticism (11L 2s)

2025-07-11T15:30:02Z

Barton: Potential use case: Ivan Wyschnegradsky's Diatonicized Chromaticism (11L 2s)

← Older revision		Revision as of 15:30, 11 July 2025
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	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-3}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-3}}

	== Barton ==		== Barton + Diatonicized Chromaticism ==
	If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult.		If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] (step ratio 7:2) [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult. In particular, if one can work with several keys worth of backtracking for the small step (quarter-tone = 1\24), this mapping also supports [[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism ([[11L 2s]]) scale. One problem (apart from the required backtracking) is that Ivan Wyschnegradsky composed for the full 88 note range of each of two (or sometimes four) pianos, while the range of this mapping is just one note short of five octaves; however, since each note is represented at least twice, one approach would be to shift this layout so as to produce two manuals, of which the lower manual would be for the bass octaves and the upper manual for the treble octaves, with overlap to ensure an easy transition between the divisions of the range.
	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Yourmusic Productions: Expansion.

2025-07-09T18:05:37Z

Expansion.

← Older revision		Revision as of 18:05, 9 July 2025
Line 23:		Line 23:
	Expanding this mapping to [[5L 4s]] makes the diatonic scale easy to play, but puts octaves all over the place.		Expanding this mapping to [[5L 4s]] makes the diatonic scale easy to play, but puts octaves all over the place.
	{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-3}}		{{Lumatone EDO mapping\|n=24\|start=0\|xstep=4\|ystep=-3}}

			== Barton ==
			If you want to keep octaves completely horizontal, you need to use the [[2L 5s]] [[Barton]] mapping, which makes more xenharmonic combinations of notes easy to play and familiar diatonic chords difficult.
			{{Lumatone EDO mapping\|n=24\|start=0\|xstep=2\|ystep=5}}

	{{Navbox Lumatone}}		{{Navbox Lumatone}}