Standard Lumatone mapping for Pythagorean - Revision history

Lériendil: Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

2025-04-17T02:30:06Z

Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"

← Older revision		Revision as of 02:30, 17 April 2025
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	The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[Helmholtz temperament\|helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation\|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[Helmholtz (temperament)\|helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation\|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.

	{{Lumatone mapping\|		{{Lumatone mapping\|

Sintel: fix helmholtz link

2025-04-16T15:37:30Z

fix helmholtz link

← Older revision		Revision as of 15:37, 16 April 2025
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	The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation\|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[Helmholtz temperament\|helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation\|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.

	{{Lumatone mapping\|		{{Lumatone mapping\|

ArrowHead294 at 12:20, 15 March 2025

2025-03-15T12:20:35Z

← Older revision		Revision as of 12:20, 15 March 2025
Line 3:		Line 3:
	The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-~~fifths_notation~~\|circle of ~~5ths~~]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths notation\|circle of fifths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.

	{{Lumatone mapping\|		{{Lumatone mapping\|

ArrowHead294 at 01:24, 24 January 2025

2025-01-24T01:24:28Z

Show changes

ArrowHead294 at 15:14, 23 January 2025

2025-01-23T15:14:23Z

← Older revision		Revision as of 15:14, 23 January 2025
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	The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.		The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.

	The name for this general kind of mapping is the '''~~Bosanquet-Wilson~~ layout'''.		The name for this general kind of mapping is the '''Bosanquet–Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation\|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation\|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.

	{{Lumatone mapping\|		{{Lumatone mapping\|

Lucius Chiaraviglio: Add note about range and horizontal octaves

2024-11-16T09:09:59Z

Add note about range and horizontal octaves

← Older revision		Revision as of 09:09, 16 November 2024
Line 1:		Line 1:
	The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.		The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there, with octaves perfectly horizontal. The range is just under five octaves. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.

	The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.

ArrowHead294 at 14:57, 20 May 2024

2024-05-20T14:57:05Z

← Older revision		Revision as of 14:57, 20 May 2024
Line 1:		Line 1:
	The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[~~apotome~~]] (the amount by which ~~{{sharp}}~~/~~{{flat}}~~ alter pitches) goes up-and-slightly-right.		The '''standard Lumatone mapping for Pythagorean-like scale systems''' has a C on the middle of the 5 keys sticking out the very left side of the keyboard, and the C major scale goes horizontally across the keyboard from there. The whole tone goes right-and-slightly-up and the [[diatonic semitone]] goes right-and-down, which implies that the [[chromatic semitone]] (the amount by which ♯/♭ alter pitches) goes up-and-slightly-right.

	The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation\|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation\|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.


	{{Lumatone mapping\|		{{Lumatone mapping\|

Yourmusic Productions: Further linking and clarification.

2023-03-26T00:52:35Z

Further linking and clarification.

← Older revision		Revision as of 00:52, 26 March 2023
Line 3:		Line 3:
	The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single ~~ring~~ of 5ths.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single [[Circle-of-fifths_notation\|circle of 5ths]], and many multi-ring edos can still be made to work with it by using a non-patent val as long as the generator forms a [[5L 2s]] or [[2L 5s]] [[mos]] scale.

Yourmusic Productions: Since I've been creating entries that explore the limits of the lumatone's gamut, might as well put the info in here as well.

2023-03-25T21:03:48Z

Since I've been creating entries that explore the limits of the lumatone's gamut, might as well put the info in here as well.

← Older revision		Revision as of 21:03, 25 March 2023
Line 3:		Line 3:
	The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.		The name for this general kind of mapping is the '''Bosanquet-Wilson layout'''.

	This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc.		This mapping can be used without alteration for any rank-2 system whose period is an octave and whose generator is a (perhaps tempered) fourth or fifth. This includes [[Pythagorean tuning\|Pythagorean]], [[meantone]], [[superpyth]], [[helmholtz]], etc. It will provide complete coverage for any edo up to 56 which has a single ring of 5ths.

Xenllium at 22:35, 24 March 2022

2022-03-24T22:35:04Z

← Older revision		Revision as of 22:35, 24 March 2022
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	{{Lumatone key\|x=26\|y=7\|label=F{{sharp2}}{{sharp2}}}}		{{Lumatone key\|x=26\|y=7\|label=F{{sharp2}}{{sharp2}}}}

	{{Lumatone key\|x=4\|y=8\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=~~6px~~}}		{{Lumatone key\|x=4\|y=8\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=5\|y=8\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=5\|y=8\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=6\|y=8\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=6\|y=8\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}
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	{{Lumatone key\|x=29\|y=8\|label=B{{sharp2}}{{sharp}}}}		{{Lumatone key\|x=29\|y=8\|label=B{{sharp2}}{{sharp}}}}

			{{Lumatone key\|x=8\|y=9\|label=B{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=9\|y=9\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=9\|y=9\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=10\|y=9\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=10\|y=9\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}
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	{{Lumatone key\|x=33\|y=9\|label=F{{sharp2}}{{sharp2}}}}		{{Lumatone key\|x=33\|y=9\|label=F{{sharp2}}{{sharp2}}}}

	{{Lumatone key\|x=11\|y=10\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=~~6px~~}}		{{Lumatone key\|x=11\|y=10\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=12\|y=10\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=12\|y=10\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=13\|y=10\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=13\|y=10\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 193:		Line 194:
	{{Lumatone key\|x=34\|y=10\|label=G{{sharp2}}{{sharp}}}}		{{Lumatone key\|x=34\|y=10\|label=G{{sharp2}}{{sharp}}}}

			{{Lumatone key\|x=15\|y=11\|label=B{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=16\|y=11\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=16\|y=11\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=17\|y=11\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=17\|y=11\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 214:		Line 216:
	{{Lumatone key\|x=35\|y=11\|label=A{{sharp2}}}}		{{Lumatone key\|x=35\|y=11\|label=A{{sharp2}}}}

	{{Lumatone key\|x=18\|y=12\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=~~6px~~}}		{{Lumatone key\|x=18\|y=12\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=19\|y=12\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=19\|y=12\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=20\|y=12\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=20\|y=12\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 233:		Line 235:
	{{Lumatone key\|x=35\|y=12\|label=A{{sharp}}}}		{{Lumatone key\|x=35\|y=12\|label=A{{sharp}}}}

			{{Lumatone key\|x=22\|y=13\|label=B{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=23\|y=13\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=23\|y=13\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=24\|y=13\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=24\|y=13\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 248:		Line 251:
	{{Lumatone key\|x=36\|y=13\|label=B}}		{{Lumatone key\|x=36\|y=13\|label=B}}

	{{Lumatone key\|x=25\|y=14\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=~~6px~~}}		{{Lumatone key\|x=25\|y=14\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=26\|y=14\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=26\|y=14\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=27\|y=14\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=27\|y=14\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 261:		Line 264:
	{{Lumatone key\|x=36\|y=14\|label=B{{flat}}}}		{{Lumatone key\|x=36\|y=14\|label=B{{flat}}}}

			{{Lumatone key\|x=29\|y=15\|label=B{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=30\|y=15\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=30\|y=15\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=31\|y=15\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=31\|y=15\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 270:		Line 274:
	{{Lumatone key\|x=37\|y=15\|label=C{{flat}}}}		{{Lumatone key\|x=37\|y=15\|label=C{{flat}}}}

	{{Lumatone key\|x=32\|y=16\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=~~6px~~}}		{{Lumatone key\|x=32\|y=16\|label=E{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
	{{Lumatone key\|x=33\|y=16\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=33\|y=16\|label=F{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=34\|y=16\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=34\|y=16\|label=G{{flat}}{{flat}}{{flat}}\|size=7px}}
Line 276:		Line 280:
	{{Lumatone key\|x=36\|y=16\|label=B{{flat}}{{flat}}{{flat}}\|size=7px}}		{{Lumatone key\|x=36\|y=16\|label=B{{flat}}{{flat}}{{flat}}\|size=7px}}
	{{Lumatone key\|x=37\|y=16\|label=C{{flat}}{{flat}}\|size=9px}}		{{Lumatone key\|x=37\|y=16\|label=C{{flat}}{{flat}}\|size=9px}}

			{{Lumatone key\|x=36\|y=17\|label=B{{flat}}{{flat}}{{flat}}{{flat}}\|size=5px}}
			{{Lumatone key\|x=37\|y=17\|label=C{{flat}}{{flat}}{{flat}}\|size=7px}}
			{{Lumatone key\|x=38\|y=17\|label=D{{flat}}{{flat}}{{flat}}\|size=7px}}
	}}		}}