User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed temperament Lumatone mappings - Revision history

Lucius Chiaraviglio: /* 52edo (demonstrated to work) */ Add Bryan Deister's Lumatone mapping for 54edo as 108ed4

2026-09-17T04:57:12Z

52edo (demonstrated to work): Add Bryan Deister's Lumatone mapping for 54edo as 108ed4

← Older revision		Revision as of 04:57, 17 September 2026
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	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:27, 3 January 2026 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:27, 3 January 2026 (UTC)

	=== 52edo (demonstrated to work) ===		=== 52edo (demonstrated to work, and found Diminished temperament) ===

	Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings\|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:05, 28 March 2026 (UTC)		Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings\|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:05, 28 March 2026 (UTC)

			=== 54edo as 108ed4 (demonstrated to work) ===

			One of the odder ways to map [[54edo]] is to treat it as 108ed4 with a [[2L 8s (4/1-equivalent)]] scale (11:10 step ratio), as demonstrated in [[Bryan Deister's]] [https://www.youtube.com/watch?v=OsfvW25R0Cw ''54edo improv''] (2026). With this mapping, many notes are missing from each octave, but every note is available in some octave. In the linked video, Bryan Deister set all MIDI channels to map to the same octave, so all notes are available within that octave.

			{{Lumatone EDO mapping\|n=54\|start=0\|xstep=16\|ystep=1}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:57, 17 September 2026 (UTC)

	=== 57edo (demonstrated to work) ===		=== 57edo (demonstrated to work) ===

Lucius Chiaraviglio: Undo revision 236149 by BudjarnLambeth (talk) Due to the "Template include too large" bug, this is not ready for linking from Category:Lumatone mappings — it needs a reorganization first, and most or all of the mappings are on teh corresponding Lumatone mapping for ##edo page anyway

2026-08-22T15:19:24Z

Undo revision 236149 by BudjarnLambeth (talk) Due to the "Template include too large" bug, this is not ready for linking from Category:Lumatone mappings — it needs a reorganization first, and most or all of the mappings are on teh corresponding Lumatone mapping for ##edo page anyway

← Older revision		Revision as of 15:19, 22 August 2026
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	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 02:48, 3 November 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 02:48, 3 November 2025 (UTC)<br>
	Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 23:23, 3 November 2025 (UTC)		Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 23:23, 3 November 2025 (UTC)

	~~[[Category:Lumatone mappings]]~~

BudjarnLambeth: /* 336edo (demonstrated to work) */

2026-08-22T11:11:24Z

336edo (demonstrated to work)

← Older revision		Revision as of 11:11, 22 August 2026
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	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 02:48, 3 November 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 02:48, 3 November 2025 (UTC)<br>
	Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 23:23, 3 November 2025 (UTC)		Last Modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 23:23, 3 November 2025 (UTC)

			[[Category:Lumatone mappings]]

Lucius Chiaraviglio: /* 23edo: Didacus/Isra-related Machinoid (demonstrated to work) */ Add comment about MIDI note numbering

2026-06-26T18:35:29Z

23edo: Didacus/Isra-related Machinoid (demonstrated to work): Add comment about MIDI note numbering

← Older revision		Revision as of 18:35, 26 June 2026
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	=== 23edo: Didacus/Isra-related Machinoid (demonstrated to work) ===		=== 23edo: Didacus/Isra-related Machinoid (demonstrated to work) ===

	[[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}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:30, 24 June 2026 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:30, 24 June 2026 (UTC)<br>
	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:29, 26 June 2026 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:35, 26 June 2026 (UTC)

	=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===		=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===

Lucius Chiaraviglio: /* 23edo: Didacus-related machinoid (demonstrated to work but awaiting approval) */ Got approval

2026-06-26T18:29:37Z

23edo: Didacus-related machinoid (demonstrated to work but awaiting approval): Got approval

← Older revision		Revision as of 18:29, 26 June 2026
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	Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.		Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.

	=== 23edo: Didacus-related ~~machinoid~~ (demonstrated to work ~~but awaiting approval~~) ===		=== 23edo: Didacus/Isra-related Machinoid (demonstrated to work) ===

	[[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). 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.
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	{{Lumatone EDO mapping\|n=23\|start=15\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=23\|start=15\|xstep=4\|ystep=-1}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:30, 24 June 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:30, 24 June 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:29, 26 June 2026 (UTC)

	=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===		=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===

Lucius Chiaraviglio: /* Various Described but Unnamed Temperament Lumatone mappings */ Add Bryan Deister's Didacus-related machinoid Lumatone mapping for 23edo

2026-06-24T04:30:43Z

Various Described but Unnamed Temperament Lumatone mappings: Add Bryan Deister's Didacus-related machinoid Lumatone mapping for 23edo

← Older revision		Revision as of 04:30, 24 June 2026
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	Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.		Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.

			=== 23edo: Didacus-related machinoid (demonstrated to work but awaiting approval) ===

			[[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}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:30, 24 June 2026 (UTC)

	=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===		=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===

Lucius Chiaraviglio: /* 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) */ Accidentally chopped off the footer — fixing this

2026-05-28T04:35:41Z

51edo: 19 & 51 flipped antidiatonic (demonstrated to work): Accidentally chopped off the footer — fixing this

← Older revision		Revision as of 04:35, 28 May 2026
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	{{Lumatone EDO mapping\|n=51\|start=32\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=51\|start=32\|xstep=8\|ystep=-1}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:21, 5 May 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:35, 28 May 2026 (UTC)

	== Various Unnamed Temperament Lumatone mappings ==		== Various Unnamed Temperament Lumatone mappings ==

Lucius Chiaraviglio: Add Various Described but Unnamed Temperament Lumatone mappings, starting with one of Bryan Deister's Lumatone mappings for 51edo (19 & 51 in the 2.3.5.17 subgroup — move in here and make a couple of corrections)

2026-05-28T04:30:41Z

Add Various Described but Unnamed Temperament Lumatone mappings, starting with one of Bryan Deister's Lumatone mappings for 51edo (19 & 51 in the 2.3.5.17 subgroup — move in here and make a couple of corrections)

← Older revision		Revision as of 04:30, 28 May 2026
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	Moved 28edo to new Machine Lumatone mappings section on [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings\|Various Other Lumatone mappings]]; moved 30edo to Rank-3 Lumatone mappings page: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:35, 23 July 2025 (UTC)<br>		Moved 28edo to new Machine Lumatone mappings section on [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings\|Various Other Lumatone mappings]]; moved 30edo to Rank-3 Lumatone mappings page: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:35, 23 July 2025 (UTC)<br>
	Moved this section here: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:36, 11 October 2025 (UTC)		Moved this section here: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:36, 11 October 2025 (UTC)

			== Various Described but Unnamed Temperament Lumatone mappings ==

			Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.

			=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) ===

			[[Bryan Deister]] has used a flipped antidiatonic layout for [[51edo]] in which the generator is a mid major second at 8\51, which maps in between ~[[10/9]] and ~[[9/8]] and is distinct from both, A possible constitution of this interval in 51edo is the septendecimal major second ~[[512/459]] (~\|9 -3 0 0 0 0 -1⟩), which maps correctly to 8\51 and is very close by direct approximation. Two of these generators make a fairly flat ~[[5/4]] Ptolemeic major third, and nine of these generators make a slightly sharp ~[[8/3]] perfect eleventh. Octaves alternate between near and far, but the range is just one missing note 47 short of being 5 full octaves, which compares favorably with the standard Antidiatonic ([[Mavila]]/[[Undecimation]]) and [[Porky]] mappings, and is competitive with the [[Slendric]] mapping. (Another possibility would be to move the first note 0 up and left, which would instead put the missing note in the first octave.) The most straightforward scale within an octave is [[2L 5s]] with a step ratio of 8:7, but the octave zigzag could be used to support an [[11L 2s (4/1-equivalent)]] scale, again with a step ratio of 8:7. [https://x31eq.com/temper-pyscript/ Graham Breed's x31eq Temperament Finder] gives no name for this temperament; it is 19 & 51 in the 2.3.5.17 subgroup, but if this layout was actually adapted to [[19edo]], L and s steps would exchange size classes to make this a flipped Diatonic layout. This layout is demonstrated in [https://www.youtube.com/shorts/5pM8OC0fV98 ''51edo improv''] (202505-02), with some additional notes outside the 5 (almost) full octaves cut off in and near the upper left and lower right corners due to the use of only 2 MIDI channels.

			{{Lumatone EDO mapping\|n=51\|start=32\|xstep=8\|ystep=-1}}

	== Various Unnamed Temperament Lumatone mappings ==		== Various Unnamed Temperament Lumatone mappings ==

	Various Lumatone mappings that do not match the mapping for another size of EDO, and ~~were~~ not designed for a particular temperament.		Various Lumatone mappings that do not match the mapping for another size of EDO, and do not seem to have been designed for a particular temperament, for which temperament description beyond identification of the generator is not available.

	Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings\|Various Other Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:36, 11 October 2025 (UTC)		Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings\|Various Other Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:36, 11 October 2025 (UTC)
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	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:11, 20 October 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:11, 20 October 2025 (UTC)<br>
	Moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab#Bison_(Porwell_+_Sensi)_Lumatone_mappings\|Bison (Porwell + Sensi) Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:15, 23 October 2025 (UTC)		Moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab#Bison_(Porwell_+_Sensi)_Lumatone_mappings\|Bison (Porwell + Sensi) Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:15, 23 October 2025 (UTC)

	~~=== 51edo (demonstrated to work) ===~~

	[[Bryan Deister]] has used a flipped antidiatonic layout for [[51edo]] in which the generator is a mid major second at 8\51, which maps in between ~[[10/9]] and ~[[9/8]] and is distinct from both, A possible constitution of this interval in 51edo is the septendecimal major second ~[[512/459]] (~\|9 -3 0 0 0 0 -1⟩), which maps correctly to 8\51 and is very close by direct approximation. Two of these generators make a slightly flat ~[[5/4]] Ptolemeic major third, and nine of these generators make a slightly sharp ~[[8/3]] perfect eleventh. Octaves alternate between near and far, but the range is just one missing note #47 short of being 5 full octaves, which compares favorably with the standard Antidiatonic ([[Mavila]]/[[Undecimation]]) and [[Porky]] mappings, and is competitive with the [[Slendric]] mapping. (Another possibility would be to move the first note 0 up and left, which would instead put the missing note in the first octave.) The most straightforward scale within an octave is [[2L 5s]] with a step ratio of 8:7, but the octave zigzag could be used to support an [[11L 2s (4/1-equivalent)]] scale, again with a step ratio of 8:7. [https://x31eq.com/temper-pyscript/ Graham Breed's x31eq Temperament Finder] gives no name for this temperament; it is 19 & 51 in the 2.3.5.17 subgroup, but if this layout was actually adapted to [[19edo]], L and s steps would exchange size classes to make this a flipped Diatonic layout. This layout is demonstrated in [https://www.youtube.com/shorts/5pM8OC0fV98 ''51edo improv''] (202505-02), with some additional notes outside the 5 (almost) full octaves cut off in and near the upper left and lower right corners due to the use of only 2 MIDI channels.

	~~{{Lumatone EDO mapping\|n=51\|start=32\|xstep=8\|ystep=-1}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:21, 5 May 2025 (UTC)<br>~~
	~~Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 10:30, 1 January 2026 (UTC)~~

	=== 51edo (demonstrated to work) ===		=== 51edo (demonstrated to work) ===

Lucius Chiaraviglio: /* 52edo (demonstrated to work) */ Found Diminished temperament; moved to Various other Lumatone mappings

2026-03-28T12:05:22Z

52edo (demonstrated to work): Found Diminished temperament; moved to Various other Lumatone mappings

← Older revision		Revision as of 12:05, 28 March 2026
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	=== 52edo (demonstrated to work) ===		=== 52edo (demonstrated to work) ===

	~~[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 9\52~~, as ~[[9/8]] but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as (3♭ × 3♯) / 8 to ~~make use of the dual-fifth feature of 52edo. Two of these map to a ~~~[[14/11]] major third, as in [[Pentacircle clan\|Pentacircle]] but for the direct approximation mapping of ~9/8. The upward generator is ~[[16/15]]. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in [https://~~www.youtube.com/shorts/lNJCZz7EjL0 ''microtonal improvisation in 52edo''] (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels.~~		Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings\|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:05, 28 March 2026 (UTC)

	{{Lumatone ~~EDO mapping\|n=52\|start=4\|xstep=9\|ystep=-5}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk~~]]~~) 09:22, 5 May 2025 (UTC)<br>~~
	~~Last modified~~: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:03, ~~6 May 2025~~ (UTC)

	=== 57edo (demonstrated to work) ===		=== 57edo (demonstrated to work) ===

Lucius Chiaraviglio: /* 44edo (demonstrated to work) */ Fix heading

2026-01-11T09:56:44Z

44edo (demonstrated to work): Fix heading

← Older revision		Revision as of 09:56, 11 January 2026
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	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:51, 28 October 2025 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 12:51, 28 October 2025 (UTC)

	=== 44edo (demonstrated to work) ===		=== 44edo (demonstrated to work, and found Bidia + Diminished + Charismic + Semitonismic temperament) ===

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:55, 4 January 2026 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:55, 4 January 2026 (UTC)<br>