Augmented third

Augmented third
Inverse diminished sixth
Other names -
Abbreviation A3[1]
Semitones 5
Interval class 5
Just interval 125:96,[2] 21:16, 64:49
Equal temperament 500
24 equal temperament 500
Just intonation 457
Augmented third on C  Play .

In classical music from Western culture, an augmented third ( Play ) is an interval of five semitones. It may be produced by widening a major third by a chromatic semitone.[1][3] For instance, the interval from C to E is a major third, four semitones wide, and both the intervals from C to E, and from C to E are augmented thirds, spanning five semitones. Being augmented, it is considered a dissonant interval.[4]

Its inversion is the diminished sixth, and its enharmonic equivalent is the perfect fourth.

The just augmented third, E#, is 456.99 cents or 125:96.  Play  The Pythagorean augmented third, E+++, is 521.51 cents or 177147:131072, eleven just perfect fifths.  Play 


  1. 1 2 Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.54. ISBN 978-0-07-294262-0.
  2. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxvi. ISBN 0-8247-4714-3. Classic augmented third.
  3. Hoffmann, F.A. (1881). Music: Its Theory & Practice, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007. Archaically: superfluous third.
  4. Benward & Saker (2003), p.92.
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