Lumatone mapping for 23edo - Revision history

Lucius Chiaraviglio: /* Didacus/Isra-related Machinoid */ Add comment about MIDI note numbering

2026-06-26T18:35:04Z

Didacus/Isra-related Machinoid: Add comment about MIDI note numbering

← Older revision		Revision as of 18:35, 26 June 2026
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	== Didacus/Isra-related Machinoid ==		== Didacus/Isra-related Machinoid ==
	[[Bryan Deister]] has demonstrated a [[5L 1s]] (4:3 step ratio) mapping for [[23edo]] in [https://www.youtube.com/shorts/rfkVLuoC2gM ''23edo''] (2023). The rightward generator 4\23 corresponds to a somewhat sharp directly-approximated Pythagorean whole tone ~[[9/8]], as in [[didacus]] and [[isra]]; however, unlike these temperaments, it brings up a different set of intervals, all in the 2.9.15.21.33.13.17 subgroup (same as as used for the table of intervals on the 23edo page, and required to get ~9/8 and most of the following intervals to map correctly). Two of these generators make a near-just undecimal (pentacircle) major third ~[[14/11]]; three of them make a mildly sharp greater septimal tritone ~[[10/7]]; four of them make a somewhat flat lesser tridecimal neutral sixth ~[[13/8]]; and five of them make a mildly flat undecimal neutral seventh ~[[11/6]]. The range is a bit over five octaves, and the octaves slope upwards.		[[Bryan Deister]] has demonstrated a [[5L 1s]] (4:3 step ratio) mapping for [[23edo]] in [https://www.youtube.com/shorts/rfkVLuoC2gM ''23edo''] (2023), although with MIDI note numbering offset relative to what is shown here. The rightward generator 4\23 corresponds to a somewhat sharp directly-approximated Pythagorean whole tone ~[[9/8]], as in [[didacus]] and [[isra]]; however, unlike these temperaments, it brings up a different set of intervals, all in the 2.9.15.21.33.13.17 subgroup (same as as used for the table of intervals on the 23edo page, and required to get ~9/8 and most of the following intervals to map correctly). Two of these generators make a near-just undecimal (pentacircle) major third ~[[14/11]]; three of them make a mildly sharp greater septimal tritone ~[[10/7]]; four of them make a somewhat flat lesser tridecimal neutral sixth ~[[13/8]]; and five of them make a mildly flat undecimal neutral seventh ~[[11/6]]. The range is a bit over five octaves, and the octaves slope upwards.
	{{Lumatone EDO mapping\|n=23\|start=15\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=15\|xstep=4\|ystep=-1}}

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

Lucius Chiaraviglio: /* A-Team */ Insert Bryan Deister's Didacus/Isra-related Machinoid mapping after this

2026-06-26T18:30:00Z

A-Team: Insert Bryan Deister's Didacus/Isra-related Machinoid mapping after this

← Older revision		Revision as of 18:30, 26 June 2026
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	Also quite effective is the [[Subgroup_temperaments#A-team\|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords that only require a single finger to hit all three notes.		Also quite effective is the [[Subgroup_temperaments#A-team\|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords that only require a single finger to hit all three notes.
	{{Lumatone EDO mapping\|n=23\|start=22\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=23\|start=22\|xstep=9\|ystep=-4}}

			== Didacus/Isra-related Machinoid ==
			[[Bryan Deister]] has demonstrated a [[5L 1s]] (4:3 step ratio) mapping for [[23edo]] in [https://www.youtube.com/shorts/rfkVLuoC2gM ''23edo''] (2023). The rightward generator 4\23 corresponds to a somewhat sharp directly-approximated Pythagorean whole tone ~[[9/8]], as in [[didacus]] and [[isra]]; however, unlike these temperaments, it brings up a different set of intervals, all in the 2.9.15.21.33.13.17 subgroup (same as as used for the table of intervals on the 23edo page, and required to get ~9/8 and most of the following intervals to map correctly). Two of these generators make a near-just undecimal (pentacircle) major third ~[[14/11]]; three of them make a mildly sharp greater septimal tritone ~[[10/7]]; four of them make a somewhat flat lesser tridecimal neutral sixth ~[[13/8]]; and five of them make a mildly flat undecimal neutral seventh ~[[11/6]]. The range is a bit over five octaves, and the octaves slope upwards.
			{{Lumatone EDO mapping\|n=23\|start=15\|xstep=4\|ystep=-1}}

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

Lucius Chiaraviglio: Undo revision 217071 by Lucius Chiaraviglio (talk) — this isn't the real thing (yet)

2025-11-18T10:06:28Z

Undo revision 217071 by Lucius Chiaraviglio (talk) — this isn't the real thing (yet)

← Older revision		Revision as of 10:06, 18 November 2025
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	== Antidiatonic ==		== Antidiatonic ==
	The flat fifth is slightly closer, however, which produces ~~the following~~ layout~~, as demonstrated (accompanying vocals) in [[Bryan Deister]]'s [https~~:~~//www.youtube.com/shorts/ris5gXn7V4U ''23edo (In The Dark) (snippet)''] (2025).~~		The flat fifth is slightly closer, however, which produces this layout:
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}

Lucius Chiaraviglio: /* Antidiatonic */ Add demo video

2025-11-15T21:49:50Z

Antidiatonic: Add demo video

← Older revision		Revision as of 21:49, 15 November 2025
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	== Antidiatonic ==		== Antidiatonic ==
	The flat fifth is slightly closer, however, which produces ~~this~~ layout:		The flat fifth is slightly closer, however, which produces the following layout, as demonstrated (accompanying vocals) in [[Bryan Deister]]'s [https://www.youtube.com/shorts/ris5gXn7V4U ''23edo (In The Dark) (snippet)''] (2025).
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}

Yourmusic Productions: Deister-ising A-team maximises the range and makes chords playable with a single finger.

2025-06-24T20:58:45Z

Deister-ising A-team maximises the range and makes chords playable with a single finger.

← Older revision		Revision as of 20:58, 24 June 2025
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	== A-Team ==		== A-Team ==
	Also quite effective is the [[Subgroup_temperaments#A-team\|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.		Also quite effective is the [[Subgroup_temperaments#A-team\|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords that only require a single finger to hit all three notes.
	{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=22\|xstep=9\|ystep=-4}}

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

ArrowHead294 at 14:45, 23 March 2025

2025-03-23T14:45:23Z

← Older revision		Revision as of 14:45, 23 March 2025
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	{{Lumatone mapping intro}} The flat fifth is slightly closer, however, which produces this layout:		{{Lumatone mapping intro}}

			== Antidiatonic ==
			The flat fifth is slightly closer, however, which produces this layout:
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}


	However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.		However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size.

			== Sephiroth ==
			The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.
	{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}		{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}

			== A-Team ==
	Also quite effective is the [[Subgroup_temperaments#A-team\|A-~~team~~]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.		Also quite effective is the [[Subgroup_temperaments#A-team\|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.
	{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}

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

ArrowHead294 at 18:13, 14 March 2025

2025-03-14T18:13:39Z

← Older revision		Revision as of 18:13, 14 March 2025
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	~~There are many conceivable ways to map [[23edo]] onto the [[~~Lumatone~~]] keyboard. Only one~~, however, ~~agrees with the [[Standard Lumatone mapping for Pythagorean]].~~		{{Lumatone mapping intro}} The flat fifth is slightly closer, however, which produces this layout:
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}


	However, as 23edo is a [[mavila]] temperament, ~~it's~~ best fifths are quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17 & 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with -3 generators.		However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.
	{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}		{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}


	Also quite effective is the [[Subgroup_temperaments#A-team\|A-team]] mapping, which turns the harmonic sequence 16:18:21 and ~~it's~~ inversion into easy to play consonant cluster chords.		Also quite effective is the [[Subgroup_temperaments#A-team\|A-team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.
	{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}

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

ArrowHead294 at 16:11, 14 March 2025

2025-03-14T16:11:27Z

← Older revision		Revision as of 16:11, 14 March 2025
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	There are many conceivable ways to map [[23edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].		There are many conceivable ways to map [[23edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}


	However, as 23edo is a [[mavila]] temperament, it's best fifths are quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17 & 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with -3 generators.		However, as 23edo is a [[mavila]] temperament, it's best fifths are quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17 & 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with -3 generators.
	{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}		{{Lumatone EDO mapping\|n=23\|start=6\|xstep=7\|ystep=-5}}


	Also quite effective is the [[Subgroup_temperaments#A-team\|A-team]] mapping, which turns the harmonic sequence 16:18:21 and it's inversion into easy to play consonant cluster chords.		Also quite effective is the [[Subgroup_temperaments#A-team\|A-team]] mapping, which turns the harmonic sequence 16:18:21 and it's inversion into easy to play consonant cluster chords.

ArrowHead294 at 16:53, 11 February 2025

2025-02-11T16:53:34Z

← Older revision		Revision as of 16:53, 11 February 2025
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	{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=20\|xstep=5\|ystep=-1}}

	{{Lumatone ~~mapping navigation~~}}		{{Navbox Lumatone}}

ArrowHead294 at 01:26, 17 November 2024

2024-11-17T01:26:08Z

← Older revision		Revision as of 01:26, 17 November 2024
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	{{Lumatone mapping navigation}}		{{Lumatone mapping navigation}}

	~~[[Category:Lumatone mappings]] [[Category:23edo]]~~