Lumatone mapping for 80edo - Revision history

Lucius Chiaraviglio: /* Supermajor */ Add Bryan Deister's Aureus Pseudo-Meantone + Orwell-related rank-3 temperament + Semisept mapping

2026-07-06T04:43:15Z

Supermajor: Add Bryan Deister's Aureus Pseudo-Meantone + Orwell-related rank-3 temperament + Semisept mapping

← Older revision		Revision as of 04:43, 6 July 2026
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	The [[3L 8s]] [[Ragismic_microtemperaments#Supermajor\|Supermajor]] mapping covers the gamut with slightly greater range while keeping octaves near horizontal, but many of the other harmonics involve awkward vertical stretches.		The [[3L 8s]] [[Ragismic_microtemperaments#Supermajor\|Supermajor]] mapping covers the gamut with slightly greater range while keeping octaves near horizontal, but many of the other harmonics involve awkward vertical stretches.
	{{Lumatone EDO mapping\|n=80\|start=62\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=80\|start=62\|xstep=7\|ystep=1}}

			== Aureus Pseudo-Meantone + Orwell-related rank-3 temperament + Semisept ==
			The slightly sharp quasi-meantone ~[[19/17]] as 13\80 (one key down-right) stacks to a mildly sharp classic major third ~[[5/4]] (the aureusma [[1445/1444]] is tempered out), although by itself this generator does not make very well-space [[MOS]] scales. At the same time, as seen in [[Orwell]] temperament, a mildly sharp septimal minor third ~[[7/6]] is an attractive generator for producing well-spaced [[MOS]] scales, but being 18\80 (one key right + one key down-right), it is not co-prime, thereby suffering [[contorsion]]. One way to get around the contorsion problem to use both generators to make a rank-3 temperament. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/lWuqrdSr8pU ''80edo improv''] (2026), with the Lumatone rotated so as to make progression by 13\80 approximately horizontal. Another way to get MOS scales with reasonable spacing is to take the [[octave complement]] of ~[[7/6]] as ~[[12/7]], which is 62\80, and then split it in half to get 31\80 (one key right + two keys down-right), which is the septendecimal subfourth ~[[17/13]], which is the bright generator for an oneirotonic [[5L 3s]] scale having a 13:5 step ratio; the downside of this rank-2 temperament is that many generator steps are needed to reach some common consonant intervals. Either way, the range is somewhat under 2½ complete octaves (which slope downwards rather severely, and have only a few repeated notes), with considerable partial octaves in the base and treble chopped off by the upper left and lower right corners, respectively.
			{{Lumatone EDO mapping\|n=80\|start=6\|xstep=5\|ystep=8}}

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

BudjarnLambeth: /* Bidia */

2025-08-15T07:18:30Z

Bidia

← Older revision		Revision as of 07:18, 15 August 2025
Line 17:		Line 17:
	[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.

	[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here]. (Backup version: [[File:80edo-4x1-3-kbd-7-20-bidia.ltn).		[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here]. (Backup version: [[File:80edo-4x1-3-kbd-7-20-bidia.ltn]]).

	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

BudjarnLambeth: /* Bidia */ add backup ver

2025-08-15T07:18:20Z

Bidia: add backup ver

← Older revision		Revision as of 07:18, 15 August 2025
Line 17:		Line 17:
	[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.

	[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].		[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here]. (Backup version: [[File:80edo-4x1-3-kbd-7-20-bidia.ltn).

	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

BudjarnLambeth: /* Bidia */ Line breaks

2025-08-15T07:13:32Z

Bidia: Line breaks

← Older revision		Revision as of 07:13, 15 August 2025
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	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]].

			[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.

			[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].

	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

Yourmusic Productions: Supermajor.

2025-08-09T16:56:20Z

Supermajor.

← Older revision		Revision as of 16:56, 9 August 2025
Line 15:		Line 15:
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

			== Supermajor ==
			The [[3L 8s]] [[Ragismic_microtemperaments#Supermajor\|Supermajor]] mapping covers the gamut with slightly greater range while keeping octaves near horizontal, but many of the other harmonics involve awkward vertical stretches.
			{{Lumatone EDO mapping\|n=80\|start=62\|xstep=7\|ystep=1}}

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

Yourmusic Productions: add ltn file

2025-08-09T16:09:09Z

add ltn file

← Older revision		Revision as of 16:09, 9 August 2025
Line 13:		Line 13:

	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

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

Lucius Chiaraviglio: /* Bidia */ I read the interval number wrong last time but this time I'll put in the right interval name

2025-07-12T10:50:19Z

Bidia: I read the interval number wrong last time but this time I'll put in the right interval name

← Older revision		Revision as of 10:50, 12 July 2025
Line 13:		Line 13:

	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp [[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

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

Yourmusic Productions: Fix math error.

2025-07-12T08:18:04Z

Fix math error.

← Older revision		Revision as of 08:18, 12 July 2025
Line 13:		Line 13:

	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp ~~classic major third ~~~[[5/4]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp [[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

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

Lucius Chiaraviglio: /* Bidia */ Add brief temperament description

2025-07-12T08:00:42Z

Bidia: Add brief temperament description

← Older revision		Revision as of 08:00, 12 July 2025
Line 13:		Line 13:

	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp classic major third ~[[5/4]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

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

Lucius Chiaraviglio: /* Bidia */ Add demo video

2025-07-12T07:55:37Z

Bidia: Add demo video

← Older revision		Revision as of 07:55, 12 July 2025
Line 13:		Line 13:

	== Bidia ==		== Bidia ==
	Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible.		Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.
	{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=80\|start=69\|xstep=7\|ystep=-1}}

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