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  2. Harmonic seventh - Wikipedia

    en.wikipedia.org/wiki/Harmonic_seventh

    The harmonic seventh arises from the harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending ...

  3. 7-limit tuning - Wikipedia

    en.wikipedia.org/wiki/7-limit_tuning

    For example, the greater just minor seventh, 9:5 (Play ⓘ) is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and music.

  4. Harmonic seventh chord - Wikipedia

    en.wikipedia.org/wiki/Harmonic_seventh_chord

    The harmonic seventh chord is a major triad plus the harmonic seventh interval (ratio of 7:4, about 968.826 cents [1]). This interval is somewhat narrower (about 48.77 cents flatter, a septimal quarter tone ) and is "sweeter in quality" than an "ordinary" [ 2 ] minor seventh , which has a just intonation ratio of 9:5 [ 3 ] (1017.596 cents), or ...

  5. Harmonic series (music) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(music)

    A harmonic is any member of the harmonic series, an ideal set of frequencies that are positive integer multiples of a common fundamental frequency. The fundamental is a harmonic because it is one times itself. A harmonic partial is any real partial component of a complex tone that matches (or nearly matches) an ideal harmonic. [3]

  6. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...

  7. Diminished seventh chord - Wikipedia

    en.wikipedia.org/wiki/Diminished_seventh_chord

    The diminished seventh chord occurs as a leading-tone seventh chord in the harmonic minor scale. It typically has dominant function and contains two diminished fifths, which often resolve inwards. [2] The chord notation for the diminished seventh chord (assuming root C) is Cdim 7 or C o 7 (or Cm 6 ♭ 5 for the enharmonic variant).

  8. Seventh chord - Wikipedia

    en.wikipedia.org/wiki/Seventh_chord

    The harmonic seventh chord is a dominant seventh chord formed by a major triad plus a harmonic seventh interval. The harmonic seventh interval is a minor seventh tuned in the 7:4 pitch ratio, one of the possible "just ratios" defined for this interval in just intonation (slightly below the width of a minor seventh as tuned in equal temperament ...

  9. Harmonic scale - Wikipedia

    en.wikipedia.org/wiki/Harmonic_scale

    The 21st is a natural seventh above G, but not a great interval above C, and the 27th is a just fifth above D. Play diatonic scale ⓘ Harmonic-scales chromatic on C and G. Play chromatic scale on C ⓘ It was invented by Wendy Carlos and used on three pieces on her album Beauty in the Beast (1986): Just Imaginings, That's Just It, and Yusae-Aisae.