Lumatone mapping for 83edo - Revision history

Lucius Chiaraviglio: /* Diatonic */ Add demo video

2025-07-22T06:52:14Z

Diatonic: Add demo video

← Older revision		Revision as of 06:52, 22 July 2025
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	== Diatonic ==		== Diatonic ==
	If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[Flattone]] mapping.		If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[Flattone]] mapping. Despite the missing notes, [[Bryan Deister]] has used the sharp version in [https://www.youtube.com/shorts/FFNFQ4H-2D4 ''83edo waltz''] (2025).
	{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}		{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}

Lucius Chiaraviglio: /* Ripple and Miracle mapping */ Fix math spacing (in the future might be good to convert this to use real math formatting

2025-04-03T20:38:04Z

Ripple and Miracle mapping: Fix math spacing (in the future might be good to convert this to use real math formatting

← Older revision		Revision as of 20:38, 3 April 2025
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	== Ripple and Miracle mapping ==		== Ripple and Miracle mapping ==
	[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[Ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.		[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[Ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭) / 25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.

	Alternatively, since 83edo is at the intersection of Ripple and [[Miracle]] temperaments, the generator can be constituted as a flat [[secor]] {{nowrap\|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of Miracle, but only needing to use the flat fifth.		Alternatively, since 83edo is at the intersection of Ripple and [[Miracle]] temperaments, the generator can be constituted as a flat [[secor]] {{nowrap\|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of Miracle, but only needing to use the flat fifth.

Lucius Chiaraviglio: /* Ripple and Miracle mappings */ Not plural for now

2025-03-27T06:34:59Z

Ripple and Miracle mappings: Not plural for now

← Older revision		Revision as of 06:34, 27 March 2025
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	{{Lumatone EDO mapping\|n=83\|start=73\|xstep=13\|ystep=-4}}		{{Lumatone EDO mapping\|n=83\|start=73\|xstep=13\|ystep=-4}}

	== Ripple and Miracle ~~mappings~~ ==		== Ripple and Miracle mapping ==
	[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[Ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.		[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[Ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.

Lucius Chiaraviglio: Make temperament capitalization with changes by ArrowHead294 and with other Lumatone mappings (at least some of them such as 31edo).

2025-03-23T21:54:30Z

Make temperament capitalization with changes by ArrowHead294 and with other Lumatone mappings (at least some of them such as 31edo).

← Older revision		Revision as of 21:54, 23 March 2025
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	== Diatonic ==		== Diatonic ==
	If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[~~flattone~~]] mapping.		If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[Flattone]] mapping.
	{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}		{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}

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	== Ripple and Miracle mappings ==		== Ripple and Miracle mappings ==
	[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[~~ripple~~]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.		[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[Ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.

	Alternatively, since 83edo is at the intersection of ~~ripple~~ and [[~~miracle~~]] temperaments, the generator can be constituted as a flat [[secor]] {{nowrap\|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of ~~miracle~~, but only needing to use the flat fifth.		Alternatively, since 83edo is at the intersection of Ripple and [[Miracle]] temperaments, the generator can be constituted as a flat [[secor]] {{nowrap\|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of Miracle, but only needing to use the flat fifth.
	{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}

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

ArrowHead294 at 15:33, 23 March 2025

2025-03-23T15:33:14Z

← Older revision		Revision as of 15:33, 23 March 2025
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	There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.		There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.

	== ~~Standard Lumatone Mapping for Pythagorean~~ ==		== Diatonic ==
			If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[flattone]] mapping.
	If not for the problem of ~~incomplete~~ gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[flattone]] mapping.
	{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}		{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}

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	{{Lumatone EDO mapping\|n=83\|start=73\|xstep=13\|ystep=-4}}		{{Lumatone EDO mapping\|n=83\|start=73\|xstep=13\|ystep=-4}}

	== Ripple/Miracle ~~Mapping~~ ==		== Ripple and Miracle mappings ==
			[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as {{nowrap\|(3♭ × 3♯ × 3♭)/25}} (using both the flat and sharp fifths in alternation) in order to map it correctly.

	[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] ([[16/15]] ~ [[15/14]]), using the 83b ~~val — not~~ in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.		Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] {{nowrap\|([[16/15]] ~ [[15/14]])}}, using the 83b val—not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.
	{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}

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

Yourmusic Productions: This temperament does have a name, just slightly further down the page.

2025-03-23T09:49:43Z

This temperament does have a name, just slightly further down the page.

← Older revision		Revision as of 09:49, 23 March 2025
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	== Standard Lumatone Mapping for Pythagorean ==		== Standard Lumatone Mapping for Pythagorean ==

	If not for the problem of incomplete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for ~~the as-yet unnamed 5 & 78 temperament (having slightly less sharp fifths than~~ [[~~superpyth~~]]); while the flat version would be a respectable [[flattone]] mapping.		If not for the problem of incomplete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for [[Quasisupra]]; while the flat version would be a respectable [[flattone]] mapping.
	{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}		{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}

Lucius Chiaraviglio: /* Standard Lumatone Mapping for Pythagorean */ Read the 83edo temperament position incorrectly in the diatonic-syntonic equivalence continuum -- actually an unnamed temperament having fifths slightly less sharp than superpyth.

2025-03-23T09:27:20Z

Standard Lumatone Mapping for Pythagorean: Read the 83edo temperament position incorrectly in the diatonic-syntonic equivalence continuum -- actually an unnamed temperament having fifths slightly less sharp than superpyth.

← Older revision		Revision as of 09:27, 23 March 2025
Line 3:		Line 3:
	== Standard Lumatone Mapping for Pythagorean ==		== Standard Lumatone Mapping for Pythagorean ==

	If not for the problem of incomplete gamut~~, the sharp version would be a respectable [[superpyth]] mapping~~ (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves); while the flat version would be a respectable [[flattone]] mapping.		If not for the problem of incomplete gamut (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves), the sharp version would be a respectable mapping for the as-yet unnamed 5 & 78 temperament (having slightly less sharp fifths than [[superpyth]]); while the flat version would be a respectable [[flattone]] mapping.
	{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}		{{Lumatone EDO mapping\|n=83\|start=14\|xstep=15\|ystep=-11}}

Lucius Chiaraviglio: Add missing Navbox

2025-03-23T06:50:30Z

Add missing Navbox

← Older revision		Revision as of 06:50, 23 March 2025
Line 13:		Line 13:
	[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] ([[16/15]] ~ [[15/14]]), using the 83b val — not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.		[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] ([[16/15]] ~ [[15/14]]), using the 83b val — not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.
	{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=83\|start=59\|xstep=8\|ystep=-1}}

			{{Navbox Lumatone}}

Lucius Chiaraviglio: HTML comment tag not working -- take out commented-out {{Lumatone mapping intro}} for now (and if left in without commenting out, it doesn't say the right thing)

2025-03-23T06:49:28Z

HTML comment tag not working -- take out commented-out {{Lumatone mapping intro}} for now (and if left in without commenting out, it doesn't say the right thing)

← Older revision		Revision as of 06:49, 23 March 2025
Line 1:		Line 1:
	~~<-- {{Lumatone mapping intro}} -->~~ There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.		There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.

	== Standard Lumatone Mapping for Pythagorean ==		== Standard Lumatone Mapping for Pythagorean ==

Lucius Chiaraviglio: Lumatone mapping for 83edo, including Bryan Deister's tested layout that covers the full gamut

2025-03-23T06:45:01Z

Lumatone mapping for 83edo, including Bryan Deister's tested layout that covers the full gamut

New page

<-- {{Lumatone mapping intro}} --> There are many conceivable ways to map [[83edo]] onto the onto the Lumatone keyboard. However, the [[Standard Lumatone mapping for Pythagorean]] is unable to cover the full gamut of every octave, with both the sharp ([[patent val]]) and flat (b val) versions having many skipped notes.

== Standard Lumatone Mapping for Pythagorean ==

If not for the problem of incomplete gamut, the sharp version would be a respectable [[superpyth]] mapping (such as on a hypothetical XL-size Lumatone having at least 415 keys within the span of five octaves); while the flat version would be a respectable [[flattone]] mapping.
{{Lumatone EDO mapping|n=83|start=14|xstep=15|ystep=-11}}

{{Lumatone EDO mapping|n=83|start=73|xstep=13|ystep=-4}}

== Ripple/Miracle Mapping ==

[[Bryan Deister]] has used the [[10L 1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] ([[16/15]] ~ [[15/14]]), using the 83b val — not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.
{{Lumatone EDO mapping|n=83|start=59|xstep=8|ystep=-1}}