All-interval tetrachord

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

15 relations: All-interval twelve-tone row, All-trichord hexachord, E (musical note), Elliott Carter, Frank Bridge, George Perle, Interval class, Interval vector, Perfect ruler, Pitch class, Serialism, Set theory (music), String Quartet No. 1 (Carter), Tetrachord, Trichord.
Hemitonic scales
Musical set theory
Post-tonal music theory

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). All-interval tetrachord and all-interval twelve-tone row are chords and music theory stubs.

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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. All-interval tetrachord and all-trichord hexachord are chords, Hemitonic scales, music theory stubs and musical set theory.

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E (musical note)

E is the third note and the fifth semitone of the C major scale, and mi in fixed-do solfège. All-interval tetrachord and e (musical note) are music theory stubs.

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Elliott Carter

Elliott Cook Carter Jr. (December 11, 1908 – November 5, 2012) was an American modernist composer.

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Frank Bridge

Frank Bridge (26 February 187910 January 1941) was an English composer, violist and conductor.

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George Perle

George Perle (6 May 1915 – 23 January 2009) was an American 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. All-interval tetrachord and interval class are musical set theory.

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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. All-interval tetrachord and interval vector are musical set theory.

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Perfect ruler

A perfect ruler of length \ell is a ruler with integer markings a_1.

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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; for example, the pitch class C consists of the Cs in all octaves. All-interval tetrachord and pitch class are musical set theory.

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Serialism

In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements. All-interval tetrachord and serialism are post-tonal music theory.

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Set theory (music)

Musical set theory provides concepts for categorizing musical objects and describing their relationships. All-interval tetrachord and set theory (music) are musical set theory.

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String Quartet No. 1 (Carter)

The String Quartet No.

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Tetrachord

In music theory, a tetrachord (τετράχορδoν; tetrachordum) is a series of four notes separated by three intervals.

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Trichord

In music theory, a trichord is a group of three different pitch classes found within a larger group. All-interval tetrachord and trichord are chords.

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References

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

Also known as 0 1 4 6, 0,1,4,6, 4-Z15, 4-Z29, All interval tetrachord.

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