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

Reprint. Originally published: New Haven: Yale University Press, 1987. Pbk. reprint ed. printed 2011 in a smaller format (23 cm.).

Foreword to the Oxford edition by Edward Gollin (p. ix-xii).

The Physical Object

  • Description:xxxi, 258 pages : : illustrations, music ; : 23 cm

Edition Identifiers

  • ISBN:0195317130, 9780195317138, 9780199759941, 0199759944
  • oclc:on1001924074
  • LC Classification:ML3809
  • Dewey Decimal:781.22

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 (4) : some further analyses -- App. A. Melodic and harmonic GIS structures; some notes on the history of tonal theory -- App. B. Non-commutative octatonic GIS structures; more on simply transitive groups.

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Subjects

Music theory Musical intervals and scales Musique -- Intervalles et gammes Théorie musicale

Writers

Lewin, David

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