Augmented third

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]

Augmented third
Inversediminished sixth
Name
Other names-
AbbreviationA3[1]
Size
Semitones5
Interval class5
Just interval125:96,[2] 21:16, 64:49
Cents
Equal temperament500
24 equal temperament500
Just intonation457

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 

Sources

  1. 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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