Mercury meantone: Difference between revisions

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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]] [[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 }}.

Revision as of 08:21, 31 October 2023 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,406 edits m Wording and linking ← Older edit		Latest revision as of 03:21, 17 January 2024 view source CompactStar (talk \| contribs) 5,020 edits Capitalization stuff applies here too
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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 }}.