Diminished sixth (just) Playⓘ. In 12-TET, the interval is identical to a perfect fifth Playⓘ.
Inclassical music from Western culture, a diminished sixth (Playⓘ) is an interval produced by narrowingaminor sixth by a chromatic semitone.[1][3] 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,[4] despite being equivalent to an interval known for its consonance.
A severely dissonant diminished sixth is observed when a fixed-pitch instrument limited to twelve notes per octave is tuned using Pythagorean tuning or a meantone temperament with a fifth flatter than 700 cents. Typically, this is the interval between G♯ and E♭. Since this interval was considerd to "howl like a wolf" (because of the beating), and since it sounded like a badly out-of-tune fifth, this interval is called the "wolf" fifth. Notice that a justly tuned fifth is the most consonant interval after the perfect unison and the perfect octave.
^ abBenward & Saker (2003). Music: In Theory and Practice, Vol. I, p.54. ISBN978-0-07-294262-0. Specific example of an d6 not given but general example of minor intervals described.
^Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxvi. ISBN0-8247-4714-3. Classic diminished sixth.
^Hoffmann, F.A. (1881). Music: Its Theory & Practice, p.89-90. Thurgate & Sons. Digitized Aug 16, 2007.
