About: Septimal meantone temperament

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In music, septimal meantone temperament, also called standard septimal meantone or simply septimal meantone, refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits. Meantone temperament represents a frequency ratio of approximately 5 by means of four fifths, so that the major third, for instance C–E, is obtained from two tones in succession. Septimal meantone represents the frequency ratio of 56 (7 × 23) by ten fifths, so that the interval 7:4 is reached by five successive tones. Hence C–A♯, not C–B♭, represents a 7:4 interval in septimal meanton

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rdf:type	yago:WikicatLinearTemperaments yago:Abstraction100002137 yago:Attribute100024264 yago:Disposition104623612 yago:Nature104623113 yago:Trait104616059
rdfs:label	Septimal meantone temperament (en)
rdfs:comment	In music, septimal meantone temperament, also called standard septimal meantone or simply septimal meantone, refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits. Meantone temperament represents a frequency ratio of approximately 5 by means of four fifths, so that the major third, for instance C–E, is obtained from two tones in succession. Septimal meantone represents the frequency ratio of 56 (7 × 23) by ten fifths, so that the interval 7:4 is reached by five successive tones. Hence C–A♯, not C–B♭, represents a 7:4 interval in septimal meanton (en)
dcterms:subject	Linear temperaments
Wikipage page ID	3585370 (xsd:integer)
Wikipage revision ID	1031481506 (xsd:integer)
Link from a Wikipage to another Wikipage	Quarter-comma meantone Enharmonic Limit (music) 12 equal temperament Common practice period Musical temperament Harmonic seventh Major third Meantone temperament Cent (music) Tristan chord 31 equal temperament 19 equal temperament Augmented sixth chord Syntonic comma Septimal kleisma Septimal semicomma Linear temperaments 7-limit Utonal Otonal dbr:50_equal_temperament
Link from a Wikipage to an external page	http://huygens-fokker.org/docs/terp31.html https://web.archive.org/web/20070401150956/http:/66.98.148.43/~xenharmo/composing.htm
sameAs	Septimal meantone temperament Septimal meantone temperament Septimal meantone temperament Septimal meantone temperament
dbp:wikiPageUsesTemplate	dbt:Audio dbt:Citation_needed dbt:Cite_web dbt:Music dbt:Musical_tuning dbt:No_footnotes
has abstract	In music, septimal meantone temperament, also called standard septimal meantone or simply septimal meantone, refers to the tempering of 7-limit musical intervals by a meantone temperament tuning in the range from fifths flattened by the amount of fifths for 12 equal temperament to those as flat as 19 equal temperament, with 31 equal temperament being a more or less optimal tuning for both the 5- and 7-limits. Meantone temperament represents a frequency ratio of approximately 5 by means of four fifths, so that the major third, for instance C–E, is obtained from two tones in succession. Septimal meantone represents the frequency ratio of 56 (7 × 23) by ten fifths, so that the interval 7:4 is reached by five successive tones. Hence C–A♯, not C–B♭, represents a 7:4 interval in septimal meantone. * A♯+++ ≈ B♭ * C — G — D — A+ — E+ — B+ — F♯++ — C♯++ — G♯++ — D♯++ — A♯+++ * C — ≈G — ≈D — ≈A+ — ≈E+ — ≈B+ — ≈F♯++ — ≈C♯++ — ≈G♯++ — ≈D♯++ — =B♭ The meantone tuning with pure 5:4 intervals (quarter-comma meantone) has a fifth of size 696.58 cents . Similarly, the tuning with pure 7:4 intervals has a fifth of size 696.88 cents . 31 equal temperament has a fifth of size 696.77 cents , which does excellently for both of them, having the harmonic seventh only 1.1 cent lower, and the major third 1.2 cent higher than pure (while the fifth is 5.2 cents lower than pure). However, the difference is so small that it is mainly academic. (en)
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page length (characters) of wiki page	5551 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Septimal_meantone_temperament
is Link from a Wikipage to another Wikipage of	List of meantone intervals Index of music articles Ellen Arkbro Septimal third tone Tritone 22 equal temperament 31 equal temperament Diminished third Augmented sixth Augmented triad Rothenberg propriety Septimal Septimal semicomma Septimal meantone
is Wikipage redirect of	Septimal meantone
is Wikipage disambiguates of	Septimal
is foaf:primaryTopic of	wikipedia-en:Septimal_meantone_temperament

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