- Diminished fourth
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diminished fourth Inverse augmented fifth Name Other names - Abbreviation d4[1] Size Semitones 4 Interval class 4 Just interval 32:25[2] Cents Equal temperament 400 24 equal temperament 400 Just intonation 427 In classical music from Western culture, a diminished fourth ( Play (help·info)) is an interval produced by narrowing a perfect fourth by a chromatic semitone[1][3]. For example, the interval from C to F is a perfect fourth, five semitones wide, and both the intervals from C♯ to F, and from C to F♭ are diminished fourths, spanning four semitones. Being diminished, it is considered a dissonant interval[4].
A diminished fourth is enharmonically equivalent to a major third; that is, it spans the same number of semitones, and they are physically the same pitch in twelve-tone equal temperament. For example, B–D♯ is a major third; but if the same pitches are spelled B and E♭, as occurs in the C harmonic minor scale, the interval is instead a diminished fourth. In other tunings, however, they are not necessarily identical. For example, in 31 equal temperament the diminished fourth is slightly wider than a major third, and is instead the same width as the septimal major third.
Sources
- ^ a b Benward & Saker (2003). Music: In Theory and Practice, Vol. I, p.54. ISBN 978-0-07-294262-0. Specific example of an d4 not given but general example of perfect intervals described.
- ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxv. ISBN 0824747143. Classic diminished fourth.
- ^ Hoffmann, F.A. (1881). Music: Its Theory & Practice, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007.
- ^ Benward & Saker (2003), p.92.
Intervals (list) Numbers in brackets are the number of semitones in the interval.
Fractional semitones are approximate.Twelve-semitone
(Western)PerfectMajorMinorAugmentedDiminishedCompoundOther systems SupermajorNeutralSubminor7-limitchromatic semitone (⅔) · diatonic semitone (1⅙) · whole tone (2⅓) · subminor third (2⅔) · supermajor third (4⅓) · harmonic (subminor) seventh (9⅔)Other intervals GroupsPythagorean comma · Pythagorean apotome · Pythagorean limma · Diesis · Septimal diesis · Septimal comma · Syntonic comma · Schisma · Diaschisma · Major limma · Ragisma · Breedsma · Kleisma · Septimal kleisma · Septimal semicomma · Orwell comma · Semicomma · Septimal sixth-tone · Septimal quarter tone · Septimal third-tone
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