Augmented third
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| Inverse | diminished sixth |
|---|---|
| Name | |
| Other names | - |
| Abbreviation | A3[1] |
| Size | |
| Semitones | 5 |
| Interval class | 5 |
| Just interval | 125:96,[2] 21:16, 64:49 |
| Cents | |
| 12-Tone equal temperament | 500 |
| 24-Tone equal temperament | 500 |
| Just intonation | 457 |
In classical music from Western culture, an augmented third (<phonos file="Fourth_ET.ogg">Play</phonos>) 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.
- <score sound>
{ \override Score.TimeSignature
- 'stencil = ##f
\relative c' {
\time 4/4
\set Score.tempoHideNote = ##t \tempo 1 = 20
<ces e>1 <c? eis>
}
} </score>
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. <phonos file="Just augmented third on C.mid">Play</phonos> The Pythagorean augmented third, E♯+++, is 521.51 cents or 177147:131072, eleven just perfect fifths. <phonos file="Pythagorean augmented third on C.mid">Play</phonos>
References
- ^ a b Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.54. Template:ISBN.
- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxvi. Template:ISBN. Classic augmented third.
- ^ Hoffmann, F.A. (1881). Music: Its Theory & Practice, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007. Archaically: superfluous third.
- ^ Benward & Saker (2003), p.92.
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