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All-interval tetrachord

Index All-interval tetrachord

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

13 relations: All-interval twelve-tone row, All-trichord hexachord, E (musical note), Elliott Carter, George Perle, Interval class, Interval vector, Pitch class, Serialism, Set theory (music), String Quartet No. 1 (Carter), Tetrachord, Trichord.

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 (an ordering of every interval, 0 through 11, that contains each (ordered) pitch-interval class, 0 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'", 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 is an array of natural numbers which summarize the intervals present in a set of pitch classes.

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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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In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other 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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In music theory, a tetrachord (τετράχορδoν, tetrachordum) is a series of four notes separated by three smaller intervals.

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

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0 1 4 6, 0,1,4,6, 4-Z15, 4-Z29, All interval tetrachord, All-Interval Tetrachord.


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

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