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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 ...
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.
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 the 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]
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]
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.
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A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes , but theorists have extended its use to other types of musical ...
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