About: Septimal major third

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In music, the septimal major third , also called the supermajor third (by Hermann von Helmholtz among others) and sometimes Bohlen–Pierce third is the musical interval exactly or approximately equal to a just 9:7 ratio of frequencies, or alternately 14:11. It is equal to 435 cents, sharper than a just major third (5:4) by the septimal quarter tone (36:35). In 24-TET the septimal major third is approximated by 9 quarter tones, or 450 cents. Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16) to the same interval.

Attributes	Values
rdf:type	yago:WikicatMajorIntervals yago:WikicatThirds yago:Abstraction100002137 yago:CommonFraction113732295 yago:ComplexNumber113729428 yago:DefiniteQuantity113576101 yago:Fraction113732078 yago:Measure100033615 yago:Number113582013 yago:One-third113737190 yago:RationalNumber113730469 yago:RealNumber113729902 yago:TimeInterval115269513
rdfs:label	Septimal major third (en)
rdfs:comment	In music, the septimal major third , also called the supermajor third (by Hermann von Helmholtz among others) and sometimes Bohlen–Pierce third is the musical interval exactly or approximately equal to a just 9:7 ratio of frequencies, or alternately 14:11. It is equal to 435 cents, sharper than a just major third (5:4) by the septimal quarter tone (36:35). In 24-TET the septimal major third is approximated by 9 quarter tones, or 450 cents. Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16) to the same interval. (en)
foaf:depiction
dcterms:subject	7-limit tuning and intervals Major intervals Thirds (music)
Wikipage page ID	5489015 (xsd:integer)
Wikipage revision ID	1098736172 (xsd:integer)
Link from a Wikipage to another Wikipage	Limit (music) Quarter tone Music Bohlen–Pierce scale Major third Meantone temperament 7-limit tuning and intervals Cent (music) Major intervals Gioseffo Zarlino 22 equal temperament Diminished fourth Perfect fifth 19 equal temperament Hermann von Helmholtz Thirds (music) Septimal minor third Septimal quarter tone Root (chord) 7-limit Utonal Subminor sixth Wolf fifth
sameAs	Septimal major third Septimal major third Septimal major third Septimal major third
semitones	~4½ (en)
dbp:wikiPageUsesTemplate	dbt:Infobox_Interval dbt:Intervals dbt:Audio dbt:Frac dbt:Music dbt:Reflist
thumbnail	wiki-commons:Special:FilePath/Septimal_major_third_on_C.png?width=300
abbreviation	S3, SM3 (en)
other names	Supermajor third (en)
has abstract	In music, the septimal major third , also called the supermajor third (by Hermann von Helmholtz among others) and sometimes Bohlen–Pierce third is the musical interval exactly or approximately equal to a just 9:7 ratio of frequencies, or alternately 14:11. It is equal to 435 cents, sharper than a just major third (5:4) by the septimal quarter tone (36:35). In 24-TET the septimal major third is approximated by 9 quarter tones, or 450 cents. Both 24 and 19 equal temperament map the septimal major third and the septimal narrow fourth (21:16) to the same interval. The septimal major third has a characteristic brassy sound which is much less sweet than a pure major third, but is classed as a 9-limit consonance. Together with the root 1:1 and the perfect fifth of 3:2, it makes up the septimal major triad, or supermajor triad . However, in terms of the overtone series, this is a utonal rather than otonal chord, being an inverted 6:7:9, i.e. a 9⁄9:9⁄7:9⁄6 chord. The septimal major triad can also be represented by the ratio 14:18:21. The septimal major triad contains an interval of a septimal minor third between its third and fifth ( 3:2 / 9:7 = 7:6 ). Similarly, the septimal major third is the interval between the third and the fifth of the septimal minor triad. In the early meantone era the interval made its appearance as the alternative major third in remote keys, under the name diminished fourth. Tunings of the meantone fifth in the neighborhood of Zarlino's 2⁄7-comma meantone will give four septimal thirds among the twelve major thirds of the tuning; this entails that three septimal major triads appear along with one chord containing a septimal major third with an ordinary minor third above it, making up a wolf fifth. 22 equal temperament has a very close match to this interval. In this temperament, four fifths minus two octaves equals a septimal major third, not an ordinary major third. (en)
cents 24T equal temperament	450 (xsd:integer)
cents equal temperament	400 (xsd:integer)
cents just intonation	435 (xsd:integer)
complement	Subminor sixth
interval class	~4½ (en)
inverse	Subminor sixth
just interval	9 (xsd:integer)
main interval name	Septimal major third (en)
gold:hypernym	Interval
prov:wasDerivedFrom	wikipedia-en:Septimal_major_third?oldid=1098736172&ns=0
page length (characters) of wiki page	4890 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Septimal_major_third
is Link from a Wikipage to another Wikipage of	List of meantone intervals List of pitch intervals Index of music articles 12 equal temperament 15 equal temperament Quarter tone 17 equal temperament The Well-Tuned Piano Bohlen–Pierce scale Subminor and supermajor Comma (music) Delta scale Harry Partch's 43-tone scale Major third 53 equal temperament 58 equal temperament 72 equal temperament 96 equal temperament 22 equal temperament 31 equal temperament 34 equal temperament 41 equal temperament Diminished fourth 19 equal temperament Neutral third Augmented triad Septimal minor third Septimal

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