Composers on Mathematical Music
Subtext 9383489


. . . How little [the dodecaphonic or twelve-tone principle’s] nature is understood is, unfortunately, evidenced by abundant documentation. I shall give only one example of this, on which I stumbled recently while perusing a very well-known dictionary. My eye caught the word “dodecaphonic” and I read “composed through the mechanical application of a particular numerical arrangement of the notes of the chromatic scale.” I need hardly say that “dodecaphonic” means nothing of the sort. Dodecaphonic composition is not “mechanical application,” nor is the arrangement of the notes “numerical” or even what is implied in the word “arrangement”—not, that is, in any manner that makes sense. I might even go further and say that nothing that is implied in such terms can be called “composition” in any real sense of the word. I am not, of course, implying that the notes in the tone row cannot be identified by numbers—the notes of the diatonic scale have been so identified for the last two and a half centuries, after all. Nor am I implying that the tone row itself, and the order of its tones, is of minor importance. I am merely stressing the point that the tone row is an organic pattern of sounds and intervals, created by the composer’s imagination in terms of sound and of the relationships between sounds; it is a framework of reference the composer establishes for specific purposes—just as the composer of a larger work decides in advance the instrumental or vocal combination for which he is writing. It is in other words the composer’s ear, not arithmetic and not dogma or theory, necessarily of an arbitrary nature, that is involved here.

Roger Sessions



Composers on Mathematical Music: A Subtext Poem

Other Work by John Greschak

Public Domain