Augmented third

Augmented third
Inverse	diminished sixth
Name
Other names	-
Abbreviation	A3
Size
Semitones	5
Interval class	5
Just interval	125:96, 21:16, 64:49
Cents
Equal temperament	500
24-Tone equal temperament	500
Just intonation	457

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. 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.

${ \override Score.TimeSignature #'stencil = ##f \relative c' { \time 4/4 \set Score.tempoHideNote = ##t \tempo 1 = 20 <ces e>1 <c? eis> } }$

${ \override Score.TimeSignature #'stencil = ##f \relative c' { \time 4/4 \set Score.tempoHideNote = ##t \tempo 1 = 20 <ceses eisis>1 } }$

Being augmented, it is considered a dissonant interval.

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^ⓘ