Augmented Third
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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.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . 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.Benward & Saker (2003), p.92. Its inversion is the diminished sixth, and its enharmonic equivalent is the perfect fourth A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth () is the fourth spanning five semitones (half steps, or half tones). For example, the ascending interval from C to .... 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 perf ...
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Diminished Sixth
In classical music from Western culture, a diminished sixth () is an interval produced by narrowing a minor sixth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an d6 not given but general example of minor intervals described. For example, the interval from A to F is a minor sixth, eight semitones wide, and both the intervals from A to F, and from A to F are diminished sixths, spanning seven semitones. Being diminished, it is considered a dissonant interval,Benward & Saker (2003), p.92. despite being equivalent to an interval known for its consonance. Its inversion is the augmented third, and its enharmonic equivalent is the perfect fifth. Wolf fifth A severely dissonant diminished sixth is observed when the instrument is tuned using a Pythagorean or a meantone temperament tuning system. Typically, this is the interval between G and E. Since it seems to howl like a wolf (because of the beating), and si ...
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