Lesson plan
Augmented third
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. 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 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. The Pythagorean augmented third, E , is 521.51 cents or 177147:131072, eleven just perfect fifths.
Article summary
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. 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 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. The Pythagorean augmented third, E , is 521.51 cents or 177147:131072, eleven just perfect fifths.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.