Mercury meantone - Revision history

FloraC: Cleanup

2026-03-04T10:17:41Z

Cleanup

← Older revision		Revision as of 10:17, 4 March 2026
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	: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''		: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''

	'''Mercury meantone''' is a [[non-octave]] [[tuning]] of [[meantone]] that sharpens the [[octave]] slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant ~~3rds & 5ths~~. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, its imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. Its superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or {{monzo\| 1 -3 -3 0 0 0 5 0 0 -2 }}.		'''Mercury meantone''' is a [[non-octave]] [[tuning]] of [[meantone]] that sharpens the [[octave]] slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio [[phi]], and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant thirds and fifths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, its imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. Its superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or {{monzo\| 1 -3 -3 0 0 0 5 0 0 -2 }}.


	[[Category:19-limit]]		[[Category:19-limit]]
	~~[[Category:Temperaments]]~~
	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]

CompactStar: Capitalization stuff applies here too

2024-01-17T03:21:41Z

Capitalization stuff applies here too

← Older revision		Revision as of 03:21, 17 January 2024
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	: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''		: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''

	'''Mercury ~~Meantone~~''' is a [[non-octave]] [[tuning]] of [[meantone]] that sharpens the [[octave]] slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, its imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. Its superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or {{monzo\| 1 -3 -3 0 0 0 5 0 0 -2 }}.		'''Mercury meantone''' is a [[non-octave]] [[tuning]] of [[meantone]] that sharpens the [[octave]] slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, its imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. Its superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or {{monzo\| 1 -3 -3 0 0 0 5 0 0 -2 }}.

FloraC: Wording and linking

2023-10-31T08:21:41Z

Wording and linking

← Older revision		Revision as of 08:21, 31 October 2023
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	: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''		: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''

	'''Mercury Meantone''' is a non-octave ~~variant~~ of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, ~~it's~~ imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. ~~It's~~ superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.		'''Mercury Meantone''' is a [[non-octave]] [[tuning]] of [[meantone]] that sharpens the [[octave]] slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, its imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. Its superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or {{monzo\| 1 -3 -3 0 0 0 5 0 0 -2 }}.

Fredg999 category edits: Removing from Category:Theory using Cat-a-lot

2023-03-04T20:26:17Z

Removing from Category:Theory using Cat-a-lot

← Older revision		Revision as of 20:26, 4 March 2023
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	~~[[Category:Theory]]~~
	[[Category:19-limit]]		[[Category:19-limit]]
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]

Eliora at 22:37, 22 February 2023

2023-02-22T22:37:23Z

← Older revision		Revision as of 22:37, 22 February 2023
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			: ''Not to be confused with the [[Mercury\|80th-octave temperament]] named after the same element.''

	'''Mercury Meantone''' is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. It's superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.		'''Mercury Meantone''' is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. It's superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.

Fredg999 category edits: Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

2022-02-28T22:34:45Z

Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

← Older revision		Revision as of 22:34, 28 February 2022
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	[[Category:Theory]]		[[Category:Theory]]
	[[Category:19-limit]]		[[Category:19-limit]]
	[[Category:~~Temperament~~]]		[[Category:Temperaments]]
	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]

Xenwolf: recat

2020-12-17T00:59:48Z

recat

← Older revision		Revision as of 00:59, 17 December 2020
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	Mercury Meantone is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[~~Golden_meantone\|~~golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. It's superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.		'''Mercury Meantone''' is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. It's superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.


	[[Category:Theory]]		[[Category:Theory]]
	[[Category:19-limit]]		[[Category:19-limit]]
	[[Category:~~Interval]]~~		[[Category:Temperament]]
	~~[[Category:Ratio]]~~
	~~[[Category:Just interval~~]]
	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Mercurial]]		[[Category:Mercurial]]

Xenwolf: +cat

2020-12-17T00:56:07Z

+cat

← Older revision		Revision as of 00:56, 17 December 2020
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	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Meantone]]		[[Category:Meantone]]
			[[Category:Mercurial]]

Yourmusic Productions: Working out related temperaments, may spin off to it's own page later.

2020-10-15T17:34:32Z

Working out related temperaments, may spin off to it's own page later.

← Older revision		Revision as of 17:34, 15 October 2020
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	Mercury Meantone is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[Golden_meantone\|golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma.		Mercury Meantone is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[Golden_meantone\|golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma. It's superpyth counterpart uses ratios of [[17/15]] and [[30/29]], for a L/s ratio of 3.717820234, and exceeds an octave by [[2839714/2838375]] or [1 -3 -3 0 0 0 5 0 0 -2⟩.

Yourmusic Productions at 20:31, 25 September 2020

2020-09-25T20:31:09Z

← Older revision		Revision as of 20:31, 25 September 2020
Line 1:		Line 1:
	Mercury Meantone is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[Golden_meantone\|golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [557122275/556583944], or the mercurial comma.		Mercury Meantone is a non-octave variant of [[meantone]] that sharpens the octave slightly so the individual tones and semitones are the relatively simple pure ratios of [[19/17]] and [[15/14]]. The ratio between large and small steps is 1.61213228, extremely close to the golden ratio phi, and so mercury meantone is extremely close to [[Golden_meantone\|golden meantone]] in sound, only with more consonant small steps and slightly less consonant 3rds & 5ths. On instruments which have slightly inharmonic partials, which as a result are often tuned with slightly stretched octaves to compensate like pianos, it's imperfect octaves actually become an advantage over theoretically perfect ones. It exceeds the octave by [[557122275/556583944]], or the mercurial comma.