Collections of all twelve pitch classes can be differentiated from one another only by assigning an order to the pitch classes or by partitioning them into mutually exclusive sub-collections. The ordering principle is the basis of the twelve-tone system formulated by Schoenberg, the partitioning principle the basis of the system formulated around the same time by Hauer. In Schoenberg's compositional practice, however, the concept of a segmental pitch-class content is represented as well, as a basis for the association of paired inversionally related set forms. On the relation between Schoenberg and Hauer see Bryan R. Simms, "Who First Composed Twelve-Tone Music, Schoenberg or Hauer?" Journal of the Arnold Schoenberg Institute X/2 (November 1987).
George PerleRelated topics
assigning concept content institute journal music order pitch practice see set twelve well Arnold Schoenberg BryanRelated quotes
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Immanuel Kant
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Ernst Bloch
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Lee Kuan Yew
It is also the becoming-space of the spoken chain - which has been called temporal or linear; a becoming-space which makes possible both writing and every correspondence between speech and writing, every passage from one to the other.
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Jacques Derrida
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Kurt Lewin