Lumatone mapping for 57edo - Revision history

Lucius Chiaraviglio: Add Bryan Deister's Lithium mapping for 57edo

2025-11-21T10:08:06Z

Add Bryan Deister's Lithium mapping for 57edo

← Older revision		Revision as of 10:08, 21 November 2025
Line 4:		Line 4:
	The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''<nowiki>Prelude in 57edo (Part 1) [short clip]</nowiki>''] (2025).		The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''<nowiki>Prelude in 57edo (Part 1) [short clip]</nowiki>''] (2025).
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

			== Lithium ==
			[[Bryan Deister]] has demonstrated a [[3L 3s]] (12:7 step ratio) [[Lithium]] mapping for [[57edo]], in [https://www.youtube.com/shorts/yVv0s8t--pg ''<nowiki>Prelude in 57edo (Part 2) [short clip]</nowiki>''] (2025). Lithium divides the octave into 3 parts, each of which is 19\57, defined by inconsistently-mapped ~[[56/45]], and corresponding to one key right + one key down-right. It uses the ⅓-octave-reduced fourth ~[[4/3]] (24\57, reduced to 5\57) to get the downwards generator. This mapping exceeds the amount of range (over six octaves) supported an EDO of this size on a standard-sized Lumatone, and so it misses several notes in each octave (especially at the left and right edges), and the octaves slant down.
			{{Lumatone EDO mapping\|n=57\|start=45\|xstep=7\|ystep=5}}

	== Unnamed temperament ==		== Unnamed temperament ==

Lucius Chiaraviglio: /* Diatonic (sharp fifth; Mothra) */ Fix section heading to be more descriptive

2025-11-18T22:49:15Z

Diatonic (sharp fifth; Mothra): Fix section heading to be more descriptive

← Older revision		Revision as of 22:49, 18 November 2025
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	There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.		There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.

	== Diatonic (sharp fifth; Mothra) ==		== Diatonic (sharp fifth) + Mothra (flat fifth) ==
	The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''<nowiki>Prelude in 57edo (Part 1) [short clip]</nowiki>''] (2025).		The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''<nowiki>Prelude in 57edo (Part 1) [short clip]</nowiki>''] (2025).
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

Lucius Chiaraviglio: /* Diatonic (sharp fifth; Mothra) */ Demo video is Part 1 of a 2 part series — Part 2 uses a different Lumatone mapping

2025-11-18T11:03:50Z

Diatonic (sharp fifth; Mothra): Demo video is Part 1 of a 2 part series — Part 2 uses a different Lumatone mapping

← Older revision		Revision as of 11:03, 18 November 2025
Line 2:		Line 2:

	== Diatonic (sharp fifth; Mothra) ==		== Diatonic (sharp fifth; Mothra) ==
	The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''Prelude in 57edo (short clip)''] (2025).		The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''<nowiki>Prelude in 57edo (Part 1) [short clip]</nowiki>''] (2025).
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

Lucius Chiaraviglio: /* Diatonic (sharp fifth) */ Add demo video, and fix the text up to mention that this works as a Mothra mapping

2025-11-18T10:51:10Z

Diatonic (sharp fifth): Add demo video, and fix the text up to mention that this works as a Mothra mapping

← Older revision		Revision as of 10:51, 18 November 2025
Line 1:		Line 1:
	There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.		There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.

	== Diatonic (sharp fifth) ==		== Diatonic (sharp fifth; Mothra) ==
	The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale.		The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth, which is also three keys right of the root note), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale. The division of the patent fifth into three intervals all in a row, each of which is an essentially just septimal whole tone (~[[8/7]]), makes this a good [[Gamelismic_clan#Mothra\|Mothra]] mapping. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FylRB5MGBz4 ''Prelude in 57edo (short clip)''] (2025).
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

Lucius Chiaraviglio: /* Diatonic (sharp fifth) */ Attempt to improve wording

2025-05-15T21:53:28Z

Diatonic (sharp fifth): Attempt to improve wording

← Older revision		Revision as of 21:53, 15 May 2025
Line 2:		Line 2:

	== Diatonic (sharp fifth) ==		== Diatonic (sharp fifth) ==
	The 57b val has a fifth so sharp that it would sound more like a circulating temperament of [[5edo]]. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale.		The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of [[5edo]] than a pentatonic scale of [[Meantone]], [[Superpyth]], or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale and nearly equalized [[2L 3s]] scale.
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

ArrowHead294 at 11:53, 14 May 2025

2025-05-14T11:53:20Z

← Older revision		Revision as of 11:53, 14 May 2025
Line 1:		Line 1:
	There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.		There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.

	== Diatonic (sharp fifth ~~only~~) ==		== Diatonic (sharp fifth) ==
	The 57b val has a fifth so sharp that it would sound more like a circulating temperament of [[5edo]]. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale.		The 57b val has a fifth so sharp that it would sound more like a circulating temperament of [[5edo]]. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val\|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale.
	{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=57\|start=18\|xstep=11\|ystep=-10}}

	== Unnamed temperament ==		== Unnamed temperament ==
			[[Bryan Deister]] has used a layout for [[57edo]] in which the right generator is 9\57 ({{nowrap\|[[10/9]] ~ [[9/8]]}}, as in [[meantone]], but this would be [[Saturation, torsion, and contorsion\|contorted]] without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~[[11/10]] (and not to ~[[12/11]] or ~[[10/9]] in the patent val, thus differing from [[Porcupine]] despite producing a rotated but otherwise similar [[1L 6s]] scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in [https://www.youtube.com/watch?v=4NZvSgS3ryY ''57edo improv''] (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).
	[[Bryan Deister]] has used a layout for [[57edo]] in which the right generator is 9\57 ([[10/9]] ~ [[9/8]], as in [[~~Meantone~~]], but this would be [[Saturation, torsion, and contorsion\|contorted]] without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~[[11/10]] (and not to ~[[12/11]] or ~[[10/9]] in the patent val, thus differing from [[Porcupine]] despite producing a rotated but otherwise similar [[1L 6s]] scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in [https://www.youtube.com/watch?v=4NZvSgS3ryY ''57edo improv''] (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).

	{{Lumatone EDO mapping\|n=57\|start=5\|xstep=9\|ystep=-8}}		{{Lumatone EDO mapping\|n=57\|start=5\|xstep=9\|ystep=-8}}

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

Lucius Chiaraviglio: Create Lumatone mapping for 57edo, starting with Bryan Deister's Lumatone mapping for 57edo and the obligatory diatonic mapping

2025-05-12T19:07:35Z

Create Lumatone mapping for 57edo, starting with Bryan Deister's Lumatone mapping for 57edo and the obligatory diatonic mapping

New page

There are many conceivable ways to map [[57edo]] onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.

== Diatonic (sharp fifth only) ==
The 57b val has a fifth so sharp that it would sound more like a circulating temperament of [[5edo]]. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the [[Patent val|patent]] fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard [[5L 2s]] scale.
{{Lumatone EDO mapping|n=57|start=18|xstep=11|ystep=-10}}

== Unnamed temperament ==

[[Bryan Deister]] has used a layout for [[57edo]] in which the right generator is 9\57 ([[10/9]] ~ [[9/8]], as in [[Meantone]], but this would be [[Saturation, torsion, and contorsion|contorted]] without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~[[11/10]] (and not to ~[[12/11]] or ~[[10/9]] in the patent val, thus differing from [[Porcupine]] despite producing a rotated but otherwise similar [[1L 6s]] scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in [https://www.youtube.com/watch?v=4NZvSgS3ryY ''57edo improv''] (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).

{{Lumatone EDO mapping|n=57|start=5|xstep=9|ystep=-8}}

{{Navbox Lumatone}}