Lumatone mapping for 93edo - Revision history

Lucius Chiaraviglio: /* Unidentified rank-3 temperament mapping */ Fix wording for ratios represented by generator

2025-06-14T08:59:16Z

Unidentified rank-3 temperament mapping: Fix wording for ratios represented by generator

← Older revision		Revision as of 08:59, 14 June 2025
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	== Unidentified rank-3 temperament mapping ==		== Unidentified rank-3 temperament mapping ==
	[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] scale as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap\|L {{=}} 6}} and {{nowrap\|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although ~~its generator~~ (64\93 ~~bright or~~ 29\93 ~~dark~~) ~~do not map~~ to convenient ~~ratios~~, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap\|3 right {{=}} ~[[8/7]]}}; {{nowrap\|5 right {{=}} ~[[5/4]]}}; and {{nowrap\|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.		[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] scale as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap\|L {{=}} 6}} and {{nowrap\|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although neither the bright version (64\93) nor the dark version (29\93) of its generator maps to a convenient ratio, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap\|3 right {{=}} ~[[8/7]]}}; {{nowrap\|5 right {{=}} ~[[5/4]]}}; and {{nowrap\|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
	{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}		{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}

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

Lucius Chiaraviglio: Fix val that was not updated after copying and pasting (from using another mapping as a template)

2025-06-02T01:07:52Z

Fix val that was not updated after copying and pasting (from using another mapping as a template)

← Older revision		Revision as of 01:07, 2 June 2025
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	{{Lumatone mapping intro}} Only the the sharp fifth (93b val) can be used with this layout, because the flat fifth (95 [[patent val]]) is shared with [[31edo]], and the large number of notes means the diatonic mapping and many others will fail to cover the entire gamut.		{{Lumatone mapping intro}} Only the the sharp fifth (93b val) can be used with this layout, because the flat fifth (93 [[patent val]]) is shared with [[31edo]], and the large number of notes means the diatonic mapping and many others will fail to cover the entire gamut.

	== Diatonic (sharp fifth) ==		== Diatonic (sharp fifth) ==

Lucius Chiaraviglio: /* Unidentified rank-3 temperament mapping */ Add missing word

2025-06-01T20:03:46Z

Unidentified rank-3 temperament mapping: Add missing word

← Older revision		Revision as of 20:03, 1 June 2025
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	== Unidentified rank-3 temperament mapping ==		== Unidentified rank-3 temperament mapping ==
	[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap\|L {{=}} 6}} and {{nowrap\|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap\|3 right {{=}} ~[[8/7]]}}; {{nowrap\|5 right {{=}} ~[[5/4]]}}; and {{nowrap\|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.		[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] scale as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap\|L {{=}} 6}} and {{nowrap\|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap\|3 right {{=}} ~[[8/7]]}}; {{nowrap\|5 right {{=}} ~[[5/4]]}}; and {{nowrap\|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
	{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}		{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}

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

ArrowHead294 at 13:29, 1 June 2025

2025-06-01T13:29:35Z

← Older revision		Revision as of 13:29, 1 June 2025
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	~~There are many conceivable ways to map [[93edo]] onto the onto the~~ Lumatone ~~keyboard. Although 93edo is a dual-fifth temperament,~~ the ~~[[Standard Lumatone mapping for Pythagorean]] only works for~~ the sharp fifth (93b val), because the flat fifth (95 [[patent val]]) is shared with [[31edo]], ~~thereby yielding three mutually-exclusive rings of fifths. Due to~~ the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.		{{Lumatone mapping intro}} Only the the sharp fifth (93b val) can be used with this layout, because the flat fifth (95 [[patent val]]) is shared with [[31edo]], and the large number of notes means the diatonic mapping and many others will fail to cover the entire gamut.

	== Diatonic (sharp fifth) ==		== Diatonic (sharp fifth) ==
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	== Unidentified rank-3 temperament mapping ==		== Unidentified rank-3 temperament mapping ==
			[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap\|L {{=}} 6}} and {{nowrap\|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap\|3 right {{=}} ~[[8/7]]}}; {{nowrap\|5 right {{=}} ~[[5/4]]}}; and {{nowrap\|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
	[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 is [[21/20]] ~ [[23/22]] ~ [[25/24]], producing a [[15L 1s]] as in [[Valentine]], although 93edo is contorted with this scale (L = 6 and s = 3) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); 3 right = ~[[8/7]]; 5 right = ~[[5/4]]; and 8 right = ~[[10/7]]. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is -1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
	{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}		{{Lumatone EDO mapping\|n=93\|start=21\|xstep=6\|ystep=-7}}

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

Yourmusic Productions: /* Diatonic (sharp fifth) */ Wrong 5-limit mapping.

2025-06-01T08:57:09Z

Diatonic (sharp fifth): Wrong 5-limit mapping.

← Older revision		Revision as of 08:57, 1 June 2025
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	== Diatonic (sharp fifth) ==		== Diatonic (sharp fifth) ==
	The 93b val has a moderately sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (465 required in the space of five octaves), the diatonic mapping would be a ~~reasonable~~ mapping for [[~~Quasisupra~~]].		The 93b val has a moderately sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (465 required in the space of five octaves), the diatonic mapping would be a good mapping for [[Superpyth]].
	{{Lumatone EDO mapping\|n=93\|start=18\|xstep=17\|ystep=-13}}		{{Lumatone EDO mapping\|n=93\|start=18\|xstep=17\|ystep=-13}}

Lucius Chiaraviglio: Create Lumatone mapping for 93edo, starting with Bryan Deister's Lumatone mapping for 93edo and the obligatory diatonic mapping

2025-06-01T06:33:10Z

Create Lumatone mapping for 93edo, starting with Bryan Deister's Lumatone mapping for 93edo and the obligatory diatonic mapping

New page

There are many conceivable ways to map [[93edo]] onto the onto the Lumatone keyboard. Although 93edo is a dual-fifth temperament, the [[Standard Lumatone mapping for Pythagorean]] only works for the sharp fifth (93b val), because the flat fifth (95 [[patent val]]) is shared with [[31edo]], thereby yielding three mutually-exclusive rings of fifths. Due to the large number of notes, the diatonic mapping and many others will fail to cover the entire gamut.

== Diatonic (sharp fifth) ==
The 93b val has a moderately sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (465 required in the space of five octaves), the diatonic mapping would be a reasonable mapping for [[Quasisupra]].
{{Lumatone EDO mapping|n=93|start=18|xstep=17|ystep=-13}}

== Unidentified rank-3 temperament mapping ==

[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 is [[21/20]] ~ [[23/22]] ~ [[25/24]], producing a [[15L 1s]] as in [[Valentine]], although 93edo is contorted with this scale (L = 6 and s = 3) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); 3 right = ~[[8/7]]; 5 right = ~[[5/4]]; and 8 right = ~[[10/7]]. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is -1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
{{Lumatone EDO mapping|n=93|start=21|xstep=6|ystep=-7}}

{{Navbox Lumatone}}