All-interval tetrachord

[1] There are only two possible all-interval tetrachords (to within inversion), when expressed in prime form.

[4] The interval vector for all all-interval tetrachords is [1,1,1,1,1,1].

In the examples below, the tetrachords [0,1,4,6] and [0,1,3,7] are built on E. The unique qualities of the all-interval tetrachord have made it very popular in 20th-century music.

Composers including Frank Bridge, Elliott Carter (First String Quartet) and George Perle used it extensively.

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