Music and mathematics in Tom Johnson’s work: the composer’s view

ABSTRACT Tom Johnson is an interesting case of interdisciplinarity in that he makes music and mathematics coincide in a very obvious and literal way. He was led to this approach in the context of the American avant-garde of the 1970s, in which many artists tried to set artistic creation in the field of the impersonal. In using mathematics, Tom Johnson is in search for something that might allow the music to compose itself automatically. He establishes sequences of numbers and translates them literally into melodies, harmonies or rhythms. In doing so, he manages to make the mathematical background clearly appear. He seems to think of his music as a way of reflecting mathematics in the form of audible phenomena, and ultimately, he attaches some kind of mystical dimension to this experience. Mathematical truths, as he calls them, are unquestionable. Their laws do not depend on human will, they are deeply inscribed in nature, and a composition strictly based on them is necessarily linked to the absolute.