Supermajor sixth

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supermajor sixth
Inverse subminor third
Abbreviation M6
Semitones 9
Interval class 3
Just interval 12:7
Equal temperament 900
Just intonation 933
Supermajor sixth on B7. About this sound Play 
Origin of large and small seconds and thirds (including 7:6) in harmonic series.[1]

In music and tuning, a supermajor sixth is a supermajor interval that is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of 12:7.[2][3][4]

The septimal major sixth is an interval of 12:7 ratio,[5][6] or about 933 cents. It is the inversion of the 7:6 subminor third .


  1. ^ Leta E. Miller, ed. (1988). Lou Harrison: Selected keyboard and chamber music, 1937-1994, p.xliii. ISBN 978-0-89579-414-7.
  2. ^ Andrew Horner, Lydia Ayres (2002). Cooking with Csound: Woodwind and Brass Recipes, p.131. ISBN 0-89579-507-8.
  3. ^ Royal Society (Great Britain) (1880, digitized Feb 26, 2008). Proceedings of the Royal Society of London, Volume 30, p.531. Harvard University.
  4. ^ Society of Arts (Great Britain) (1877, digitized Nov 19, 2009). Journal of the Society of Arts, Volume 25, p.670. The Society.
  5. ^ Partch, Harry (1979). Genesis of a Music, p.68. ISBN 0-306-80106-X.
  6. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiii. ISBN 0-8247-4714-3.