Augmented third explained

Main Interval Name:Augmented third
Inverse:diminished sixth
Complement:diminished sixth
Other Names:-
Abbreviation:A3
Semitones:5
Interval Class:5
Just Interval:125:96,[1] 21:16, 64:49
Cents Equal Temperament:500
Cents 24T Equal Temperament:500
Cents Just Intonation:457

In classical music from Western culture, an augmented third is an interval of five semitones. It may be produced by widening a major third by a chromatic semitone.[2] [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. The Pythagorean augmented third, E, is 521.51 cents or 177147:131072, eleven just perfect fifths.

References

  1. Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxvi. . Classic augmented third.
  2. Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.54. .
  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.