Lumatone mapping for 80edo - Revision history

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
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. 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}}

ArrowHead294 at 15:32, 23 March 2025

2025-03-23T15:32:01Z

← Older revision		Revision as of 15:32, 23 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}} Due to the size of the edo, this mapping does not cover all the notes. In addition, the best approximation to [[5/4]] is a pentuply augmented ~~6th~~ or hextuply diminished unison, which is impossible to play with the root note of the scale.		{{Lumatone mapping intro}}

			== Diatonic ==
			Due to the size of the edo, this mapping does not cover all the notes. In addition, the best approximation to [[5/4]] is a ''pentuply-augmented'' sixth or ''hextuply-diminished'' unison, which is impossible to play with the root note of the scale.
	{{Lumatone EDO mapping\|n=80\|start=8\|xstep=14\|ystep=-9}}		{{Lumatone EDO mapping\|n=80\|start=8\|xstep=14\|ystep=-9}}

	On the other hand, the [[diaschismic]] mapping can cover the whole gamut and make harmonics easy to play together, although it needs to be expanded from [[2L 8s]] to [[10L 2s]] to hit every single note.		== Diaschismic ==
			On the other hand, the [[diaschismic]] mapping can cover the whole gamut and make harmonics easy to play together, although it needs to be expanded from [[2L 8s]] to [[10L 2s]] to hit every single note.
	{{Lumatone EDO mapping\|n=80\|start=29\|xstep=7\|ystep=5}}		{{Lumatone EDO mapping\|n=80\|start=29\|xstep=7\|ystep=5}}


	{{Lumatone EDO mapping\|n=80\|start=71\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=80\|start=71\|xstep=7\|ystep=-2}}

			== 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.
	{{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}}