Subminor Third on:
[Wikipedia]
[Google]
[Amazon]
In music, a subminor interval is an interval (music), interval that is noticeably wider than a diminution, diminished interval but noticeably narrower than a minor interval. It is found in between a minor and diminished interval, thus making it below, or subminor to, the minor interval. A supermajor interval is a musical interval that is noticeably wider than a major interval but noticeably narrower than an augmented interval. It is found in between a major and augmented interval, thus making it above, or supermajor to, the major interval. The Inversion (interval), inversion of a supermajor interval is a subminor interval, and there are four major and four minor intervals, allowing for eight supermajor and subminor intervals, each with variants.
Traditionally, "supermajor and superminor, [are] the names given to certain thirds [9:7 and 17:14] found in the justly intoned scale with a natural or subminor seventh."Brabner, John H. F. (1884).
The National Encyclopaedia
', vol. 13, p. 182. London.
A subminor third is in between a minor third and a diminished third. An example of such an interval is the ratio 7:6 (E), or 266.87 cents, the septimal minor third, the inverse of the supermajor sixth. Another example is the ratio 13:11, or 289.21 cents (E).
A supermajor sixth is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of 12:7 (A).Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p. 131. .Royal Society (Great Britain) (1880, digitized February 26, 2008). ''Proceedings of the Royal Society of London'', vol. 30, p. 531. Harvard University.Society of Arts (Great Britain) (1877, digitized November 19, 2009). ''Journal of the Society of Arts'', vol. 25, p. 670. In 24 equal temperament A = . The septimal major sixth is an Interval (music), interval of 12:7 ratio (A ), or about 933 cents. It is the Inversion (music), inversion of the 7:6 subminor third.
A subminor sixth or septimal sixth is noticeably narrower than a minor sixth but noticeably wider than a diminished sixth, enharmonically equivalent to the major fifth. The sub-minor sixth is an interval of a 14:9 ratio (A) or alternately 11:7. (G ) The 21st subharmonic (see subharmonic) is 729.22 cents.
A supermajor third is in between a major third and an augmented third, enharmonically equivalent to the minor fourth. An example of such an interval is the ratio 9:7, or 435.08 cents, the septimal major third (E). Another example is the ratio 50:39, or 430.14 cents (E).
In music, a subminor interval is an interval (music), interval that is noticeably wider than a diminution, diminished interval but noticeably narrower than a minor interval. It is found in between a minor and diminished interval, thus making it below, or subminor to, the minor interval. A supermajor interval is a musical interval that is noticeably wider than a major interval but noticeably narrower than an augmented interval. It is found in between a major and augmented interval, thus making it above, or supermajor to, the major interval. The Inversion (interval), inversion of a supermajor interval is a subminor interval, and there are four major and four minor intervals, allowing for eight supermajor and subminor intervals, each with variants.
Traditionally, "supermajor and superminor, [are] the names given to certain thirds [9:7 and 17:14] found in the justly intoned scale with a natural or subminor seventh."Brabner, John H. F. (1884). The National Encyclopaedia
', vol. 13, p. 182. London.
Subminor second and supermajor seventh
Thus, a subminor second is intermediate between a minor second and a diminished second (enharmonic to unison). An example of such an interval is the ratio 26:25, or 67.90 cents (D ). Another example is the ratio 28:27, or 62.96 cents (C ). A supermajor seventh is an interval intermediate between a major seventh and an augmented seventh. It is the Inversion (interval), inverse of a subminor second. Examples of such an interval is the ratio 25:13, or 1132.10 cents (B); the ratio 27:14, or 1137.04 cents (B ); and 35:18, or 1151.23 cents (C ).Subminor third and supermajor sixth
A subminor third is in between a minor third and a diminished third. An example of such an interval is the ratio 7:6 (E), or 266.87 cents, the septimal minor third, the inverse of the supermajor sixth. Another example is the ratio 13:11, or 289.21 cents (E).
A supermajor sixth is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of 12:7 (A).Andrew Horner, Lydia Ayres (2002). ''Cooking with Csound: Woodwind and Brass Recipes'', p. 131. .Royal Society (Great Britain) (1880, digitized February 26, 2008). ''Proceedings of the Royal Society of London'', vol. 30, p. 531. Harvard University.Society of Arts (Great Britain) (1877, digitized November 19, 2009). ''Journal of the Society of Arts'', vol. 25, p. 670. In 24 equal temperament A = . The septimal major sixth is an Interval (music), interval of 12:7 ratio (A ), or about 933 cents. It is the Inversion (music), inversion of the 7:6 subminor third.
Subminor sixth and supermajor third
A subminor sixth or septimal sixth is noticeably narrower than a minor sixth but noticeably wider than a diminished sixth, enharmonically equivalent to the major fifth. The sub-minor sixth is an interval of a 14:9 ratio (A) or alternately 11:7. (G ) The 21st subharmonic (see subharmonic) is 729.22 cents.
A supermajor third is in between a major third and an augmented third, enharmonically equivalent to the minor fourth. An example of such an interval is the ratio 9:7, or 435.08 cents, the septimal major third (E). Another example is the ratio 50:39, or 430.14 cents (E).
Subminor seventh and supermajor second
A subminor seventh is an interval between a minor seventh and a diminished seventh. An example of such an interval is the 7:4 ratio, the harmonic seventh (B). A supermajor second (or supersecond) is intermediate to a major second and an augmented second. An example of such an interval is the ratio 8:7, or 231.17 cents, also known as the septimal whole tone (D ) and the inverse of the subminor seventh. Another example is the ratio 15:13, or 247.74 cents (D).Use
Composer Lou Harrison was fascinated with the 7:6 subminor third and 8:7 supermajor second, using them in pieces such as ''Concerto for Piano with Javanese gamelan, Javanese Gamelan'', ''Cinna'' for tack-piano, and ''Strict Songs'' (for voices and orchestra). Together the two produce the 4:3 just perfect fourth.Miller & Lieberman (2006), p. 74. "The subminor third and supermajor second combine to create a pure fourth ()." 19 equal temperament has several intervals which are simultaneously subminor, supermajor, augmented, and diminished, due to tempering and enharmonic equivalence (both of which work differently in 19-ET than standard tuning). For example, four steps of 19-ET (an interval of roughly 253 cents) is all of the following: subminor third, supermajor second, augmented second, and diminished third.See also
*Major fourth and minor fifth *Neutral interval *Quarter toneReferences
{{Intervals Intervals (music)