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Costruire e usare un network di pc-set per il Klavierstück III di Stockhausen
| Author | David Lewin |
| Series | Rivista di Analisi e Teoria Musicale |
| Size | 17×24, pp. 136 (87-131) |
| Year | 2018 |
| ISBN | 9788855430081 |
This “theoretical” essay focuses on the forms of one pentachord reasonably ubiquitous in Stockhausen’s Klavierstück III. A special group of transformations is developed, one suggested by the musical interrelations of the pentachord forms. Using that group, the essay arranges all pentachord forms of the music into a spatial configuration that illustrates network structure, for this particular phenomenon, over the entire piece. The temporal progression of pentachord-forms through that spatial structure suggests formal assertions about the piece. The process of network formation is compared with observations by Jeanne Bamberger [1986] on how children arrange bells to play a familiar tune. An appendix discusses the analysis of the piece by Nicholas Cook [1987]; Cook’s commentary seems to leave little if any room for such partial and “theoretical” studies as mine [da Lewin 2007, x].
Over his 42-year teaching career, David Lewin (1933–2003) taught composition, with an increasing focus on music theory, at the University of California at Berkeley, the State University of New York at Stony Brook, Yale University, and finally Harvard University. Among his music-theoretic writings are many articles and books, including Generalized Musical Intervals and Transformations (Yale, 1987), Musical Forms and Transformation (Yale, 1993), which received an ASCAP Deems Taylor Award, and Studies in Music with Text (posthumous, Oxford, 2006). He was the recipient of honorary doctoral degrees from the University of Chicago, the New England Conservatory of Music, and the Marc Bloch University, Strasbourg, France, for his work in music theory.