All-interval hexachord - AbsoluteAstronomy.com

In music

Music

Music is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...

, the all-interval hexachord, or all-trichord hexachord, is a unique hexachord

Hexachord

In music, a hexachord is a collection of six pitch classes including six-note segments of a scale or tone row. The term was adopted in the Middle Ages and adapted in the twentieth-century in Milton Babbitt's serial theory.-Middle Ages:...

that contains all twelve trichord

Trichord

In music theory, a trichord is a group of three different pitch classes found within a larger group . For example a continguous three note set from a musical scale or twelve-tone row. The term is derived by analogy from the 20th-century use of the word "tetrachord"...

s, or from which all twelve possible trichords may be derived. Consisting of the pitch-classes {012478}, it is labeled 6-17.

It appears in pieces by Milton Babbitt

Milton Babbitt

Milton Byron Babbitt was an American composer, music theorist, and teacher. He is particularly noted for his serial and electronic music.-Biography:...

, Robert Morris

Robert Morris (composer)

Robert Morris is an American composer and music theorist.-Work in music theory:As a music theorist, Morris' work has bridged an important gap between the rigorously academic and the highly experimental. Born in Cheltenham, England in 1943, Morris received his musical education at the Eastman...

, and Elliott Carter

Elliott Carter

Elliott Cook Carter, Jr. is a two-time Pulitzer Prize-winning American composer born and living in New York City. He studied with Nadia Boulanger in Paris in the 1930s, and then returned to the United States. After a neoclassical phase, he went on to write atonal, rhythmically complex music...

Further reading