Lumatone mapping for 23edo - Revision history

Lucius Chiaraviglio: /* Antidiatonic */ Insert Vito Sicurella's Mavila (Superdiatonic) + Baldy (Amsochromic) and Stephen Weigel's Oolong (Smitonic) Lumatone mappings after this

2026-07-25T03:12:24Z

Antidiatonic: Insert Vito Sicurella's Mavila (Superdiatonic) + Baldy (Amsochromic) and Stephen Weigel's Oolong (Smitonic) Lumatone mappings after this

← Older revision		Revision as of 03:12, 25 July 2026
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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. 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.
	{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}		{{Lumatone EDO mapping\|n=23\|start=13\|xstep=3\|ystep=1}}

			== Mavila (Superdiatonic) + Baldy (Amsochromic) ==
			Still using the [[23edo]] flat fifth ~[[3/2]] for [[mavila]] temperament, an alternative to the antidiatonic mapping is the superdiatonic mapping, having a [[7L 2s]] scale (3:1 step ratio), with the generator 13\23 being reached by moving four keys right plus one key down-right. This reduces the range from just under five octaves to about 3½ octaves, although it keeps them nearly level — rising gently enough to support division into multiple manuals. It also supports a [[6L 5s]] scale (3:1 step ratio) if the mildly sharp directly-approximated Pythagorean whole tone ~[[9/8]] is used as a generator instead, although this causes the octaves to slope down enough to prevent vertical division into two contiguous manuals; this generator (4\23) is reached by moving one key right plus one key down-right, which is easier than reaching the mavila generator. This mapping is demonstrated on the left Lumatone in {{W\|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W\|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025); the color scheme is for the superdiatonic scale, but different between the left and right halves of the layout to represent division into two horizontal zones for different soft synthesizers. This layout is used on the left Lumatone; for the right Lumatone layout, see Oolong (Smitonic) below.
			{{Lumatone EDO mapping\|n=23\|start=0\|xstep=3\|ystep=-2}}

	~~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~~.		== Oolong (Smitonic) ==
			An alternative for [[23edo]] to using either (highly inaccurate) fifth as a generator is stacking the much more accurate (only slightly flat) classic minor third ~[[6/5]], as in [[oolong]] temperament, having a [[4L 3s]] scale (5:1 step ratio); the generator 6\23 is reached by moving one key right plus one key down-right. This results in a moderate downwards slope of the octaves, but the range is 5¾ octaves, still with a generous allocation of repeated notes to mitigate vertical wraparounds. This mapping is demonstrated on the right Lumatone in {{W\|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W\|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025). This layout is used on the right Lumatone; for the left Lumatone layout, see Mavila (Superdiatonic) + Baldy (Amsochromic) above.
			{{Lumatone EDO mapping\|n=23\|start=0\|xstep=5\|ystep=-4}}

	== Sephiroth ==		== Sephiroth ==

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
Line 1:		Line 1:
	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
Line 8:		Line 8:
	{{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}}