Jump to ContentJump to Main Navigation
Tonal Pitch Space$
Users without a subscription are not able to see the full content.

Fred Lerdahl

Print publication date: 2005

Print ISBN-13: 9780195178296

Published to Oxford Scholarship Online: May 2008

DOI: 10.1093/acprof:oso/9780195178296.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 19 November 2019

Paths in Pitch Space

Paths in Pitch Space

(p.89) 3 Paths in Pitch Space
Tonal Pitch Space

Fred Lerdahl

Oxford University Press

Using geometrical projections from the distance algorithms in the previous chapter, this chapter develops the notion of pitch-space paths in sequences of events at multiple prolongational levels. Pitch-space paths are traced in two Chopin preludes through contrasting spatial representations, including regional, chordal/regional, scale-degree, and pitch-class/chordal spaces. The exposition moves to the treatment of regional prolongations and to parallel mixture, the latter causing a collapse in regional space, with examples taken from Schubert and Wagner. An extended discussion ensues of narrative paths in Wagner's Parsifal. The chapter concludes with historical references to pitch-space paths in the music of Schubert and Schumann, and to an analogy to semantic paths in linguistic theory.

Keywords:   prolongational level, parallel mixture, chordal space, pitch-class, scale-degree, regional space, regional prolongations, Parsifal, semantic paths

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .