Dual interval space in twentieth-century music

Stephen C. Brown

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A dual interval space (DIS) is a two-dimensional array of pitch classes in which each dimension corresponds to a unique (non-zero) interval class. Given some pitch-class collection, the members of that collection can be interpreted as residing in various locations of a DIS.These locations can then be translated within the space or flipped about some axis.The flipping operations in particular offer new ways to relate set classes,even set classes of different cardinalities.This essay develops the concept from a theoretical standpoint, exploring the effects of the operations on pitch-class sets, and demonstrates its relevance for analysis by examining music of Ruggles, Schoenberg, and Webern.

Original languageEnglish (US)
Pages (from-to)35-57
Number of pages23
JournalMusic Theory Spectrum
Issue number1
StatePublished - Apr 2003

ASJC Scopus subject areas

  • Music


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