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In music theory, a trichord (/ t r aɪ k ɔːr d /) is a group of three different pitch classes found within a larger group. [2] A trichord is a contiguous three-note set from a musical scale [3] or a twelve-tone row. In musical set theory there are twelve trichords given inversional equivalency, and, without inversional equivalency, nineteen ...
Forte provided each set class with a number of the form c–d, where c indicates the cardinality of the set and d is the ordinal number. [18] Thus the chromatic trichord {0, 1, 2} belongs to set-class 3–1, indicating that it is the first three-note set class in Forte's list. [19]
Set 3-1 has three possible versions: [0 1 1 1 2 T], [0 1 1 T E 1], and [0 T T 1 E 1], where subscripts indicate adjacency intervals. The normal form is the smallest "slice of pie" (shaded) or most compact form; in this case, [0 1 1 1 2 T]. This is a list of set classes, by Forte number. [1]
All-trichord hexachord All-trichord hexachord trichords. [1] In music, the all-trichord hexachord is a unique hexachord that contains all twelve trichords, or from which all twelve possible trichords may be derived. [2] The prime form of this set class is {012478} [1] and its Forte number is 6-Z17.
In music theory, a Viennese trichord (also known as Viennese fourth chord and tritone-fourth chord [2]), named for the Second Viennese School, is a pitch set with prime form (0,1,6). Its Forte number is 3-5. The sets C–D ♭ –G ♭ and C–F ♯ –G are both examples of Viennese trichords, though they may be voiced in many ways.
Rows may be derived from a sub-set of any number of pitch classes that is a divisor of 12, the most common being the first three pitches or a trichord.This segment may then undergo transposition, inversion, retrograde, or any combination to produce the other parts of the row (in this case, the other three segments).
The set of notes contained in the two high registers form a tone row, as do the notes in the lower two registers. [ citation needed ] The piece begins with a three-note motive, or trichord (a collection of three distinct pitch classes ), in the next-to-lowest register: B–E ♭ –C, with a succession of +4 then −3 semitone intervals.
Hours: the 12 trichordal set-classes, called triads in tone-clock theory. The first hour is therefore IPF 1-1 (in pc-set theory, this would be set-class 3-1 or (012)), while the twelfth hour is IPF 4-4 (in pc-set theory, this would be set-class 3-12 or (048)). In tone-clock theory, the hours are often referred to using Roman numerals — so IV ...