Composers on Mathematical Music
Subtext 6519195


Let’s go back to the opening measures of [Schoenberg’s] Fourth Quartet. The layout of register shows a high degree of determinacy, of trying to make everything count musically. This doesn’t mean using some abstract notion of what counts, but relating things to the piece internally, or—there we are again—contextually. . . . After stating his first hexachord, which he articulates very obviously, he then lays out the next six notes of his set in a particular registral distribution which is the only one out of the six-factorial (6!) registral distributions which will define a particular relationship between the two hexachords which is fundamental to the structure of the piece, the counterpoint of the piece, the progression of the piece. . . . This is musical! Don’t look for formulas and don’t look for arithmetical tricks. Purely musical criteria are found. I’m simply claiming or avowing that all we’re dealing with here are musical issues. The primitives are the same as in tonal music. We’re talking about pitch; we’re talking pitch class.

Milton Babbitt



Composers on Mathematical Music: A Subtext Poem

Other Work by John Greschak

Public Domain