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All-interval tetrachord

An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. [1]

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All-interval twelve-tone row

In music, an all-interval twelve-tone row, series, or chord, is a twelve-tone tone row arranged so that it contains one instance of each interval within the octave, 1 through 11.

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All-trichord hexachord

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.

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E (musical note)

E is the third note of the C major scale, and mi in fixed-do solfège.

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Elliott Carter

Elliott Cook Carter, Jr. (December 11, 1908 – November 5, 2012) was an American composer who was twice awarded the Pulitzer Prize.

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George Perle

George Perle (May 6, 1915 – January 23, 2009) was a composer and music theorist.

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Interval class

In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.

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Interval vector

In musical set theory, an interval vector (also called an interval-class vector or ic vector) is an array that expresses the intervallic content of a pitch-class set.

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Pitch class

In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves.

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Serialism

In music, serialism is a method or technique of composition that uses a series of values to manipulate different musical elements.

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Set theory (music)

Musical set theory provides concepts for categorizing musical objects and describing their relationships.

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String Quartet No. 1 (Carter)

The First String Quartet by American composer Elliott Carter was written during a year spent in the Arizona desert from 1950-51.

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Tetrachord

In music theory, traditionally, a tetrachord (τετράχορδoν, tetrachordum) is a series of three smaller intervals that span the interval of a perfect fourth, a 4:3 frequency proportion.

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Trichord

In music theory, a trichord is a group of three different pitch classes found within a larger group.

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References

[1] https://en.wikipedia.org/wiki/All-interval_tetrachord

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