Costruire e usare un network di pc-set per il Klavierstück III di Stockhausen

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 li le if any room for such partial and “theoretical” studies as mine [da Lewin 2007, x].