Lumatone mapping for 33edo - Revision history

Lucius Chiaraviglio: /* Oneirotonic/Antipentic */ Had the flat fourth where the sharp fifth was specified

2025-10-28T16:46:47Z

Oneirotonic/Antipentic: Had the flat fourth where the sharp fifth was specified

← Older revision		Revision as of 16:46, 28 October 2025
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	== Oneirotonic/Antipentic ==		== Oneirotonic/Antipentic ==
	[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is [[Buzzardsmic_clan#Buzzard\|buzzard]], which treats the sharp fifth as [[21~~/16~~]] and makes both sharp and patent fifths almost as easy to access. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.		[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is [[Buzzardsmic_clan#Buzzard\|buzzard]], which treats the sharp fifth as ~[[32/21]] and makes both sharp and patent fifths almost as easy to access. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.
	{{Lumatone EDO mapping\|n=33\|start=4\|xstep=6\|ystep=-5}}		{{Lumatone EDO mapping\|n=33\|start=4\|xstep=6\|ystep=-5}}

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

Yourmusic Productions: /* Oneirotonic/Antipentic */ Temperament basis.

2025-10-28T16:27:11Z

Oneirotonic/Antipentic: Temperament basis.

← Older revision		Revision as of 16:27, 28 October 2025
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	== Oneirotonic/Antipentic ==		== Oneirotonic/Antipentic ==
	[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is ~~an unidentified temperament that uses~~ the ~~supersharp alternate (33b)~~ fifth~~, although the~~ patent ~~fifth is about equally accessible~~. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.		[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is [[Buzzardsmic_clan#Buzzard\|buzzard]], which treats the sharp fifth as [[21/16]] and makes both sharp and patent fifths almost as easy to access. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.
	{{Lumatone EDO mapping\|n=33\|start=4\|xstep=6\|ystep=-5}}		{{Lumatone EDO mapping\|n=33\|start=4\|xstep=6\|ystep=-5}}

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

Lucius Chiaraviglio: Add Bryan Deister's Oneirotonic/Antipentic mapping

2025-10-28T12:50:49Z

Add Bryan Deister's Oneirotonic/Antipentic mapping

← Older revision		Revision as of 12:50, 28 October 2025
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	Demonstrated in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025).		Demonstrated in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025).
	{{Lumatone EDO mapping\|n=33\|start=15\|xstep=4\|ystep=3}}		{{Lumatone EDO mapping\|n=33\|start=15\|xstep=4\|ystep=3}}

			== Oneirotonic/Antipentic ==
			[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that yields both [[5L 3s]] (oneirotonic, 6:1 step ratio) and [[3L 2s]] (antipentic, 7:6 step ratio) scales, in [https://www.youtube.com/shorts/Lf0CCX88w_w ''33edo improv''] (2025). The underlying temperament is an unidentified temperament that uses the supersharp alternate (33b) fifth, although the patent fifth is about equally accessible. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.
			{{Lumatone EDO mapping\|n=33\|start=4\|xstep=6\|ystep=-5}}

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

FloraC: Cleanup

2025-09-11T05:31:39Z

Cleanup

← Older revision		Revision as of 05:31, 11 September 2025
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	{{Lumatone EDO mapping\|n=33\|start=5\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=33\|start=5\|xstep=10\|ystep=-7}}

	== Augmented (~~Triforce~~) + ~~Bohpier~~ Lumatone mappings ==		== Augmented (triforce) + bohpier Lumatone mappings ==
	[[Bryan Deister]] has demonstrated two mappings for [[33edo]] that function for the temperaments [[~~Augmented~~]] ([[~~Augmented family#Triforce\|Triforce~~]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[~~Bohpier~~]] (33cd val, [[8L 1s]] scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound.		[[Bryan Deister]] has demonstrated two mappings for [[33edo]] that function for the temperaments [[augmented (temperament)\|augmented]] ([[triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound.

	=== Forward chroma ===		=== Forward chroma ===
	Demonstrated in [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025).		Demonstrated in [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025).

Yourmusic Productions: Turns out you can just about squeeze this one into a quartonic scale after all.

2025-08-24T07:47:51Z

Turns out you can just about squeeze this one into a quartonic scale after all.

← Older revision		Revision as of 07:47, 24 August 2025
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	== Semiquartal ==		== Semiquartal ==
	~~To maximise your range while keeping octaves near horizontal, use the~~ [[4L 1s]] ~~layout~~.		The [[4L 1s]] Semiquartal mapping gives you an even wider range, is a fraction of a cent off the 9-odd limit minmax tuning for [[beep]] temperament using the ccd val and is also a significant non patent tuning for [[godzilla]].
	{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}

			== Sephiroth ==
			To maximise your range while covering all the notes and keeping octaves near horizontal, use the [[3L 1s]] layout.
			{{Lumatone EDO mapping\|n=33\|start=5\|xstep=10\|ystep=-7}}

	== Augmented (Triforce) + Bohpier Lumatone mappings ==		== Augmented (Triforce) + Bohpier Lumatone mappings ==

Lucius Chiaraviglio: /* Augmented (Triforce) + Bohpier */ Add forward chroma version and edit the description text to be for both versions

2025-08-06T09:26:46Z

Augmented (Triforce) + Bohpier: Add forward chroma version and edit the description text to be for both versions

← Older revision		Revision as of 09:26, 6 August 2025
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	{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}

	== Augmented (Triforce) + Bohpier ==		== Augmented (Triforce) + Bohpier Lumatone mappings ==
	[[Bryan Deister]] has demonstrated ~~a mapping~~ for [[33edo]] that ~~functions~~ for the temperaments [[Augmented]] ([[Augmented family#Triforce\|Triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[Bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio)~~, in [https://www~~.~~youtube.com/watch?v=GypR6x_Ih1I ''33edo jam'']~~ (~~2025~~)~~. The~~ rightward generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over five octaves, ~~which~~ slope moderately downwards, resulting in a vertical wraparound.		[[Bryan Deister]] has demonstrated two mappings for [[33edo]] that function for the temperaments [[Augmented]] ([[Augmented family#Triforce\|Triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[Bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound.
			=== Forward chroma ===
			Demonstrated in [https://www.youtube.com/shorts/mkaaAJEyGFU ''33edo riff''] (2025).
			{{Lumatone EDO mapping\|n=33\|start=0\|xstep=7\|ystep=-3}}

			=== Reverse chroma ===
			Demonstrated in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025).
	{{Lumatone EDO mapping\|n=33\|start=15\|xstep=4\|ystep=3}}		{{Lumatone EDO mapping\|n=33\|start=15\|xstep=4\|ystep=3}}

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

Lucius Chiaraviglio: Add Bryan Deister's Augmented (Triforce) + Bohpier mapping

2025-08-04T07:41:48Z

Add Bryan Deister's Augmented (Triforce) + Bohpier mapping

← Older revision		Revision as of 07:41, 4 August 2025
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	To maximise your range while keeping octaves near horizontal, use the [[4L 1s]] layout.		To maximise your range while keeping octaves near horizontal, use the [[4L 1s]] layout.
	{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}

			== Augmented (Triforce) + Bohpier ==
			[[Bryan Deister]] has demonstrated a mapping for [[33edo]] that functions for the temperaments [[Augmented]] ([[Augmented family#Triforce\|Triforce]], 33d val, [[3L 3s]] scale with 7:4 step ratio) and [[Bohpier]] (33cd val, [[8L 1s]] scale with 4:1 step ratio), in [https://www.youtube.com/watch?v=GypR6x_Ih1I ''33edo jam''] (2025). The rightward generator is a somewhat flat Alpharabian tendoneutral second ~[[12/11]] which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~[[13/11]], mapped consistently. Three of these generators make a near-just septimal major third ~[[9/7]] by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~[[7/5]], mapped consistently ([[patent val]] or 33cd val). Six of these generators make a flat classic major sixth ~[[5/3]] by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~[[9/5]] by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over five octaves, which slope moderately downwards, resulting in a vertical wraparound.
			{{Lumatone EDO mapping\|n=33\|start=15\|xstep=4\|ystep=3}}

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

Yourmusic Productions: Fix math error.

2025-07-26T06:58:39Z

Fix math error.

← Older revision		Revision as of 06:58, 26 July 2025
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	== Semiquartal ==		== Semiquartal ==
	To maximise your range while keeping octaves near horizontal, use the [[5L 4s]] layout.		To maximise your range while keeping octaves near horizontal, use the [[4L 1s]] layout.
	{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}

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

ArrowHead294 at 14:53, 23 March 2025

2025-03-23T14:53:34Z

← Older revision		Revision as of 14:53, 23 March 2025
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	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

			== Diatonic ==
	{{Lumatone EDO mapping\|n=33\|start=27\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=33\|start=27\|xstep=5\|ystep=-1}}

			== Terrain ==
	While 33edo is poor at approximating harmonics in general, it does manage several composite ratios within fractions of a cent. The [[terrain]] mapping is a particularly efficient way to make those easy to play together.		While 33edo is poor at approximating harmonics in general, it does manage several composite ratios within fractions of a cent. The [[terrain]] mapping is a particularly efficient way to make those easy to play together.
	{{Lumatone EDO mapping\|n=33\|start=0\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=33\|start=0\|xstep=6\|ystep=-1}}

			== Semiquartal ==
	To maximise your range while keeping octaves near horizontal, use the [[~~semiquartal~~]] layout.		To maximise your range while keeping octaves near horizontal, use the [[5L 4s]] layout.
	{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=33\|start=24\|xstep=7\|ystep=-2}}

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

ArrowHead294 at 18:18, 14 March 2025

2025-03-14T18:18:31Z

← Older revision		Revision as of 18:18, 14 March 2025
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	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

	{{Lumatone EDO mapping\|n=33\|start=27\|xstep=5\|ystep=-1}}		{{Lumatone EDO mapping\|n=33\|start=27\|xstep=5\|ystep=-1}}