Generalized musical intervals and transformations

Generalized musical intervals and transformations

by Lewin, David

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Title Statements

  • Full title :Generalized musical intervals and transformations / David Lewin.

Edition Statements

  • Publication Date:2007.

Publication Statements

Notes

Originally published: New Haven : Yale University Press, ©1987.

The Physical Object

  • Description:xxxi, 258 pages : : illustrations ; : 25 cm

Edition Identifiers

  • ISBN:0195317130, 9780195317138, 9780199717842, 0199717842, 9780199865413, 0199865418
  • oclc:ocm71951996
  • LC Classification:ML3809
  • Dewey Decimal:781.2/37

Table of Contents

Mathematical preliminaries -- Generalized interval systems 1: Preliminary examples and definition -- Generalized interval systems 2: Formal features -- Generalized interval systems 3: A non-commutative GIS: some timbral GIS models -- Generalized set theory 1: Interval functions ; Canonical groups and canonical equivalence ; Embedding functions -- Generalized set theory 2: The injection function -- Transformation graphs and networks 1: Intervals and transpositions -- Transformation graphs and networks 2: Non-intervallic transformations -- Transformation graphs and networks 3: Formalities -- Transformation graphs and networks -- Transformation graphs and networks 4: Some further analyses.

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Subjects

Escala musical Intervalo (música) Music theory Musical intervals and scales Musique -- Intervalles et gammes Teoría musical Théorie musicale

Writers

Lewin, David

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