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Minor seventh

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(Redirected from Pythagorean minor seventh)
minor seventh
Inversemajor second
Name
Other names-
Abbreviationm7
Size
Semitones10
Interval class2
Just interval16:9[1] or 9:5[2]
Cents
12-Tone equal temperament1000
Just intonation996 or 1018
Minor seventh Play equal tempered or just.

In music theory, a minor seventh is one of two musical intervals that span seven staff positions. It is minor because it is the smaller of the two sevenths, spanning ten semitones. The major seventh spans eleven. For example, the interval from A to G is a minor seventh, as the note G lies ten semitones above A, and there are seven staff positions from A to G. Diminished and augmented sevenths span the same number of staff positions, but consist of a different number of semitones (nine and twelve, respectively).

Minor seventh intervals rarely feature in melodies (and especially in their openings) but occur more often than major sevenths[according to whom?]. A well-known example, in part due to its frequent use in theory classes, is found between the first two words of the phrase "There's a place for us" in the song "Somewhere" in West Side Story.[3] Another well-known example occurs between the first two notes of the introduction to the main theme music from Star Trek: The Original Series theme.[4]

The most common occurrence of the minor seventh is built on the root of the prevailing key's dominant triad, producing the all-important dominant seventh chord.

During the Common Practice Period the minor seventh was defined as a dissonance requiring resolution to a consonance.[5]

In other temperaments

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In just intonation there is both a 16:9 "small just minor seventh", also called the "Pythagorean small minor seventh",[6](Play) equivalent to two perfect fourths stacked on top of each other, and a 9:5 "large just minor seventh" (Play)[7][8] equivalent to a perfect fifth and a minor third on top of each other. An interval close in frequency is the harmonic seventh. (Play) [9]

See also

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References

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  1. ^ Haluska (2003), p.xxiv. Pythagorean minor seventh.
  2. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiii. ISBN 0-8247-4714-3. Just minor seventh.
  3. ^ Neely, Blake (2009). Piano For Dummies, p.201. ISBN 0-470-49644-4.
  4. ^ Keith Wyatt, Carl Schroeder, Joe Elliott (2005). Ear Training for the Contemporary Musician, p.69. ISBN 0-7935-8193-1.
  5. ^ Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.53. Seventh Edition. ISBN 978-0-07-294262-0.
  6. ^ "On Certain Novel Aspects of Harmony", p.119. Eustace J. Breakspeare. Proceedings of the Musical Association, 13th Sess., (1886 - 1887), pp. 113-131. Published by: Oxford University Press on behalf of the Royal Musical Association.
  7. ^ "The Heritage of Greece in Music", p.89. Wilfrid Perrett. Proceedings of the Musical Association, 58th Sess., (1931 - 1932), pp. 85-103. Published by: Oxford University Press on behalf of the Royal Musical Association.
  8. ^ Partch, Harry (1979). Genesis of a Music, p.68. ISBN 0-306-80106-X
  9. ^ David Dunn, 2000. Harry Partch: an anthology of critical perspectives.