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  2. Diminished triad - Wikipedia

    en.wikipedia.org/wiki/Diminished_triad

    However, in most popular-music chord books, the symbol "dim" or "o" represents a diminished seventh chord (a four-tone chord), which in some modern jazz books and music theory books is represented by the "dim7" or "o 7" symbols. For example, the diminished triad built on B, written as B o, has pitches B-D-F:

  3. Diminished seventh chord - Wikipedia

    en.wikipedia.org/wiki/Diminished_seventh_chord

    The diminished seventh chord is a four-note chord (a seventh chord) composed of a root note, together with a minor third, a diminished fifth, and a diminished seventh above the root: (1, ♭ 3, ♭ 5, 7). For example, the diminished seventh chord built on B, commonly written as B o 7, has pitches B-D-F-A ♭:

  4. Half-diminished seventh chord - Wikipedia

    en.wikipedia.org/wiki/Half-diminished_seventh_chord

    In music theory, the half-diminished seventh chord (also known as a half-diminished chord or a minor seventh flat five chord) is a seventh chord composed of a root note, together with a minor third, a diminished fifth, and a minor seventh (1, ♭ 3, ♭ 5, ♭ 7). For example, the half-diminished seventh chord built on B, commonly written as ...

  5. Diminished major seventh chord - Wikipedia

    en.wikipedia.org/wiki/Diminished_major_seventh_chord

    Diminished major seventh chords are very dissonant, containing the dissonant intervals of the tritone and the major seventh.They are frequently encountered, especially in jazz, as a diminished seventh chord with an appoggiatura [citation needed], especially when the melody has the leading note of the given chord: the ability to resolve this dissonance smoothly to a diatonic triad with the same ...

  6. Diminished seventh - Wikipedia

    en.wikipedia.org/wiki/Diminished_seventh

    The diminished seventh is used quite readily in the minor key, where it is present in the harmonic minor scale between the seventh scale step and the sixth scale step in the octave above. In 12-tone equal temperament , a diminished seventh is equal to nine semitones, a ratio of 2 9/12 :1 (approximately 1.6818), or 900 cents, and is ...

  7. List of mathematical examples - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_examples

    This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...

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