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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 ...
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 ...
Richter tuning is a system of choosing the reeds for a diatonic wind instrument (such as a harmonica or accordion).It is named after Joseph Richter, a Bohemian instrument maker who adopted the tuning for his harmonicas in the early 19th century and is credited with inventing the blow/draw mechanism that allows the harmonica to play different notes when the air is drawn instead of blown.
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 ...
In this representation tones separated by one or several octaves are depicted on the same nodes. The illustration shows the chord which is the most frequent 4-note chord in western music: the dominant seventh. In Euler's Tonnetz the B-flat is constructed from fifths and thirds. In Vogel's Tonnetz it is given as a just harmonic seventh.
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.
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