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Sources and References


ALEGANT Brian
1992 Abstract
The Seventy-Seven Partitions of the Aggregate: Analytical and Theoretical Implications
dissertation, Eastman School of Music, University of Rochester, New York
Music Theory Online, Volume 0, number 2, April, 1993

ANDREATTA Moreno
2005a Rapport sur mes recherches en mathématique/musique
2005 « Problèmes musicaux et conjectures mathématiques. Essai d’une typologie “mathémusicale” »
Séminaire Musique et mathématiques
Equipe Représentations Musicales
IRCAM/CNRS UMP 9912, 19 février 2005
2003c Méthodes algébriques en musique et musicologie du XXe siècle : aspects théoriques, analytiques et compositionnels
dir. Alain Poirier, thèse de doctorat soutenue le 12 décembre 2003
Ecole des Hautes Etudes en Sciences sociales
disponible sur le site http://recherche.ircam.fr/equipes/repmus/moreno
2001 « Note de lecture de l’ouvrage de Luigi Verdi : Organizzazione delle altezze nello spazio sonoro temperato »
revue Musurgia 2001, vol. VIII n.3-4, p. 147-150 (en français)

ANDREATTA Moreno & AGON Carlos
2004 A tutorial on algebraic-oriented paradigmatic music analysis and composition in OpenMusic visual programming language
Fourth Open Workshop of MUSICNETWORK, 15th – 16th September 2004, Barcelone
2003d Implementing algebraic methods in OpenMusic
Séminaire MaMuX, décembre 2003
2003b « Formalisation algébrique des structures musicales à l'aide de la Set-Theory : aspects théoriques et analytiques »
Actes des dixièmes Journées d’Informatique musicale
Montbeillard, 2003

ANDREATTA Moreno & SCHAUB Stéphan
2003a « Une introduction à la Set-Theory : les concepts à la base des théories d’Allen Forte et de David Lewin »
revue Musurgia 2003, vol. X/1, p. 73-92 (draft version on the Internet)

APPIA Edmond
1965 De Palestrina à Bartok. Etudes musicologiques
Paris : Flammarion

ARIZA Christopher
2004 athenaCL Tutorial Manual, 1.2.2.
New York University
2000 Stravinsky's Verticals as Set Class Similarity Contours
New York University GSAS, New York
revised 2002

ARNOLD SCHÖNBERG CENTER
2003 Activities of the Arnold Schönberg Research Center
Newsletter, Edition 11, August 2003 – February 2004

ASHBY Arved
2001 “Schoenberg, Boulez, and Twelve-Tone Composition as ‘Ideal Type’”
Journal of the American Musicological Society
Volume 54, number 3, Fall 2001, pp. 585-625

ASSAYAG Gérard & BLOCH Georges
1995 « Quantification et création musicale »
Colloque Modèles : esthétique, analyse, sémiotique
Université des Sciences humaines de Strasbourg, 22 avril 1995
in Les modèles dans l'art, Musique, peinture, cinéma
ouvrage collectif sous la direction de M. Grabocz, 1997
Presses universitaires de Strasbourg

ASTI
2003 « Théories et concepts »
Association française des sciences et technologies de l'information
Hebdo No 129. 20 octobre 2003

BAIN Reginald
2003 Basic Atonal Theory” - Pitch, Interval Measurement & Interval Content
Custom Course Assignments
Theory of Twentieth-Century Music, 3. Assignments
1. Custom Course Assignments,
Pitch, Interval Measurement & Interval Content
University of South Carolina, School of Music
2000 “Creating Web-based Applications for Post-Tonal Theory”
Musical Intersections 2000 International Conference
ATMI Program, Toronto, Ontario, Canada, Novembre 4, 2000

BALL Malcolm
2002 “Some General Charasteristics of Messiaen’s Harmonies” by Allen FORTE
Messiaen 2002 International Conference, 20-23 June 2002, Tapton
University of Sheffield
presenting Allen FORTE’s “Messiaen’s Chords” to be published in Messiaen: Music, Art and Literature, Spring 2005, London: Ashgate Press
in Reviews

BARNES Larry (Transylvania University)
1997 Review of J. Kent William’s Theories and Analyses of Twentieth-Century Music
Music Theory Online, Volume 3, Number 4, July 1997

BELKIN Alan
2003 General Principles of Harmony .html / .pdf

BENT Ian
1987 Analysis
with a glossary by DRABKIN William
The New Grove Handbooks in Music
London : The MacMillan Press Ltd
1998 L'analyse musicale. Histoire et méthodes
traduction française de Analysis
Editions Main d'Œuvre

BLOOD Brian
2002 music theory online
dolmetch online

BRELET Gisèle
1963 « Musique contemporaine en France »
dans ENCYCLOPÉDIE DE LA PLÉIADE
Histoire de la Musique. Vol. II : Du XVIIIe siècle à nos jours

ROLAND-MANUEL, dir.
Vol. 2, p. 1091-1275
Gallimard

BUCHLER Michael H. (University of Iowa School of Music)
1998 A brief history and critique of interval/subset class vectors and similarity functions
Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity, ch. 1
Ph.D. Dissertation, University of Rochester, 1998.

CASTRÉN Marcus (Sibelius Academy in Helsinki, Finland)
2000 Pairs of Chords as Objects Illuminating Set-Class Similarity: Some Viewpoints and a Computer-Assisted Procedure to Create Test Materials for Listener Experiments
electronic journal of music theory and analysis, The Journal of Music Theory Resources
Volume 1, Number 1, September 2000

CHENETTE Nathan
2004 Atonal Music Theory and Z / Z12
Mathematics at Harvey Mudd College

CLAMPITT David
1995 Report: An International Symposium on Music and Mathematics
org. Anatol Vieru, John Rahn, and John Clough, on May 29-30, 1994 (Bucarest, Romania)
Music Theory Online, Volume 1, Number 1, January, 1995

COHEN-LEVINAS Danielle
1996 « Combinatoire sérielle, maïeutique spectrale : Une généalogie du matériau »
in Musurgia. Analyse et Pratique Musicales, 1996, vol. III, n°3, pp. 81-89
Paris : éditions ESKA

COLLINS Nick
2004 An Algorithm for the Direct Generation of Set Class Representatives in Any Pitch Class Space
Music Theory Online. The Online Journal of the Sociey for Music Theory,
Volume 10, Number 3, Septembre 2004
2002 Transposition Invariance and Parsimonious Relation of Z Sets
unpublished, 2001 revised (publications)
2000 An investigation into the existence of Z chords” in Proceedings for acoustics and Music: Theory an Applications
AMTA 200
Montego Bay, Jamaica, Decembre 20-22, 2000, pp 36-31
on Publications
1999 Uniqueness of Pitch Class Spaces, Minimal Bases and Z Partners
in Proceedings of the Diderot Forum on Mathematics and Music
Vienna, p.63-77
on Publications

DELIÈGE Célestin
1989 « La Set-Theory ou les enjeux de plénonasme » Analyse Musicale 4e trimestre 1989, n° 17, pp. 64-79

DEUTSCH Diana (University of California)
Tritone Paradox
Deutsch Musical Illusions
UCSD Department of Psychology
1999 The Processing of Pitch Combinations
D. Deutsch, Edit
in The psychology of music
Academic Press, 1999, 349-412
on Biography

DONIN Nicolas
2004 « Manières d’écouter des sons » Écoutes signées (Ircam)
in Revue DEMéter, août 2004
Université de Lille

FISCHER Jerry Cree
1975 Piano Tuning: a Simple and Accurate Method for Amateurs
New York: Dover Publications
reprint of the 1907 ed. Piano tuning, regulating and repairing,
published by Theo. Presser, Philadelphia

FLOIRAT Bernard
2001 « Les Fonctions structurelles de l'harmonie d'Arnold Schoenberg »
Musurgia. Analyse et Pratique Musicales, 2001, vol. VIII, n° 1, pp. 37-55
Paris : ESKA

FORTE Allen
1995 Tristan Redux: Comments on John Rothgeb’s article on the Tristan Chord in MTO 1.1
Music Theory Online, A Publication of the Society for Music Theory Volume 1, Number 2, March, 1995,
1988 “New Approaches to the Linear Analysis of Music”
in JAMS (Journal of the American Musicological Society)
XLI, Summer 1988, number 2, pp. 315-348
1973 The Structure of Atonal Music
New Haven and London: Yale University Press
1965 “The Structure of Atonal Music: Practical Aspects of a Computer-Oriented Research Project”
Musicology and the Computer. Musicology 1966-2000: A Practical Program
Three Symposia
Symposium, April 10, 1965, Rockefeller Institute, p. 10-18
Barry S. Brook, Editor
New York: The City University of New York Press
(American Musicological Society. Greater New York Chapter)

GOLDMAN Jonathan (McGill University)
2001 Understanding Pierre Boulez’s Anthèmes [1991]: 'Creating a Labyrinth out of Another Labyrinth’
Faculty of Music, Université de Montréal

HASCHER Xavier (Université Marc-Bloch, Strasbourg)
2002a « Liszt et les sources de la notion d’agrégat »
Analyse musicale, 43 (juin 2002), 48-56

HEADLAM Dave
2005a Assignement 1
20th century topics
Eastman School of Music Theory Department, Rochester
(Syllabus)
2005 Set Theory for Atonal Music
Set Theory Highlights
20th century topics
Eastman School of Music Theory Department, Rochester

HEFFLEY Mike
2000 Time is the Essence: Analyzing Free Improvisation
Mike Heffley's Almatour

HIESTAND Charles
1993 Dissertation: The Construction of a Large Orchestral Piece Using Certain Structures, Operations, and Constraints
dir., John Rahn
University of Washington
B & C Music Journal
last updated 2002

HUSSEY William (Roosevelt University)
2003 Triadic Post-Tonality and Linear Chromaticism in the Music of Dmitri Shostakovich
Music Theory Online, The Online Journal of the Society for Music Theory
Volume 9, Number 1, March, 2003

IRCAM
2003 « Colloque international : Autour de la Set Theory »
IRCAM Saison 2003-2004, p. 12
ircam, Centre Pompidou : Paris
2003a “Around Set Theory: A French-American Musicological Meeting”
RESONANCES 2003
International Convention on Technologies for Music
, October 15-24 2003
Ircam, Centre Pompidou (Paris, France)

Ircam Music Representation Group
2002 « American Set Theory et théories du diatonisme »
Séminaire MaMuX
: Mathématiques, musique et relations avec d'autres disciplines

Première saison, 16 mars 2002
IRCAM
2005 page web du Séminaire MaMuX : Mathématiques, musique et relations avec d'autres disciplines
IRCAM

ISAACSON Eric J.
1996 Issues in the Study of Similarity in Atonal Music
Music Theory Online, A Publication of the Society for Music Theory
Volume 2, Number 7, November, 1996

KELLER Bernhard
1994 « Construction de Z à partir de N »
Groupes et Arithmétique : chapitres choisis, ch. 1
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, Paris 6, France
sur le site Les-Mathematiques.net

KELLEY Robert
2002 Set Theory, The Matrix, and the Twelve-Tone Music
Introduction to Analysis of Post-Functional ("Atonal") Music
Music Theory
last updated 2004
2001 Post-Functional Theory Terminology
Introduction to Post-Functional Music Analysis
Music Theory
last updated 2004

KIVY Peter
2001 New Essays on Musical Understanding
Oxford : Clarendon Press

KUUSI Tuire (SIBELIUS ACADEMY)
2001 Set-Class and Chord: Examining Connection between Theoretical Resemblance and Perceived Closeness
Studia Musica 12
Helsinki

LATHAM Edward D.
1997 Review of Ethan Haimo’s Article, “Atonality, Analysis, and the Intentional Fallacy”
Music Theory Spectrum 18.2 (Fall 1996), 167-199
Music Theory Online. The Online Journal of the Society for Music Theory, Volume 3.2

McLELLAN Joe
“Editorial Review”: The Unanswered Question, by Leonard BERNSTEIN

LEWIN David
1998a Subject: Re: Meeus’s reply to my fugue article
Music Department, Harvard, Cambridge, MA 02138
Music Theory Online Electronic Discussion Forum
Society for Music Theory
1980 “On Generalized Intervals and Transformations”
Journal of Music Theory, Vol. 24, No. 2 (Autumn, 1980), 243-251

LORENZ Ralph
2001 19-tET in a Renaissance Chanson by Guillame Costeley
Conference and Festival of Music in Alternate Tunings
Microfest 2001, Session 1, April 6

LOSADA Catherine
2005 “Terminology and Nomenclature”
Analytical Techniques: basic theoretical concepts for analyzing and understanding the post-tonal music of the twentieth century
Music Theory Home Page, MUTH 5315
Texas Tech University, School of Music
(syllabus)

MAGER Don
1998 The Krenek Sestinas: Elegaic sestinas for Ernst Krenek
Eclectica magazine, Volume 2, No. 2 January/February, 1998
(eclectica poetry)

MARIE Jean-Étienne
1963 « Musique électronique, expérimentale et concrète »
dans ENCYCLOPÉDIE DE LA PLÉIADE
Histoire de la Musique
. Vol. II : Du XVIIIe siècle à nos jours
ROLAND-MANUEL, dir.
Gallimard
Vol. 2, p. 1418-1467

MATH FORUM @ DREXEL (THE)
1994 Java Set theory Machine
Math Forum Internet Mathematics Library

MATHIEU Benoit
2002 Outils informatiques d'analyse musicale
Sous la direction de Gérard Assayag
DEA MIASH, ENST Bretagne, 2002
on Ircam page "Music Representation Group" (Student Reports and Master Thesis)

MAZZOLA Guerino
1996 Objective C via Category Theory
MultiMedia Laboratory, Institut für Informatik der Universität Zürich

MEAD Andrew W.
1984 “Pedagogically Speaking: A Practical Method for Dealing with Unordered Pitch-Class Collections.”
In Theory Only 7/5-6 (1984), pp. 54-66

MESNAGE Marcel
2001 « Discussion collective du bilan du Séminaire »
Musique, mathématiques et philosophie, intervention, 5 mai 2001
Séminaire Entre temps
1989 « La Set-complex Theory : de quels enjeux s'agit-il ? »
Analyse Musicale, 4e trimestre 1989, n° 17, pp. 87-90

MILLER Paul (Eastman School of Music)
2002 Viewing Authors and their Titles
Music Theory Quiz, page 3 : Review all authors and their works
last reviewed: March 2005

MORRIS Robert
2003 Topics in Transformational Theory
Workshop, June 21-24, 2003
Wayne Alpern, Director
Institute on Transformational Theory and Analysis
The Institute for Advanced Studies in Music Theory
Mannes College of Music, New York

NICOLAS François
2005 « Raisonance musique/mathématiques : l’écriture en partage »
Séminaire Musique & mathématiques
Ecole normale Supérieure, 19 février 2005
1998 « Schoenberg dans le siècle »
Le temps des musiciens
France-Musique, 18 au 22 mai 1998 : 9 h 30 – 12 heures
1989 Le Sérialisme
Entretemps
on « Bibliographie » de François Nicolas
1988 « Traversée du sérialisme »
Les conférences du Perroquet, numéro 16, (Paris, avril 1988)

OCKELFORD Adam (RNIB, London)
2004 On similarity, Derivation and the Cognition of Musical Structure
in Psychology of Music
Susan Hallam, Edit.
January 2004, vol. 32, n° 1, pp. 23-74
SAGE Publications

PAS
2004 Lecture 3. 7.10.2004. II. Combinatorics. 1. Permutations and Combinations
Probability, Sets and Complex Numbers (SOM104) : Lecture Notes - Lecture 3
J.D. BIGGINS, Head of Department
The University of Sheffield, Department of Probability and Statistics

PERLE George
1980 The Operas of Alban Berg. Volume 1. Wozzeck
University of California Press
repris au catalogue de l'IRCAM, Centre Pompidou (Paris, France)

POLISHOOK Mark (Central Washington University)
“Analytical Techniques II” p.1 “Definitions for Post-Tonal Theory
Compose@CWU

RAFANELLO Paul & ZEIGLER Tim
1995 Post-Classical
the arb, Music, Frequently Asked Questions, v1.3, April 18, 1995
maintained by Malcolm Humes

RAHN John
2004 Short Professional Biography
updated 2004
2002 additional remarks
Music and Mathematics
1994 From Similarity to Distance, From Simplicity to Complexity, From Pitches to Intervals, From Description to Causal Explanation
Music Theory Online, A Publication of the Society for Music Theory Volume 0, Number 9, July, 1994
1975 “On Pitch or Rhythm: Interpretations of Orderings Of and In Pitch and Time”
Perspective of New Music, 13, n° 2: 182-204

therfcc.org
Interval” (article from Wikipedia)
The Real Facts Contribution Company, 4.10 Music, Music Theory, 2 Pitch, Interval, 2.

REY Anne
1995 « L'avant-garde révisée »
Le Monde, 14 avril 1995 (Critique)

RIGONI Michel
1996 « Méthodologies de l'analyse de la musique contemporaine : pluralité des esthétiques, multiplicité des analyses »
in Musurgia. Analyse et Pratique Musicales, 1996, vol. III – n°3, pp. 56-80
Paris : éditions ESKA

RILEY David (University of Connecticut)
2005 “In a Musical Garden: The Influence of Pitch Class Sets on Form and Long-Range Structural Goals in Toru Takemitsu's Between Tides”
Twentieth annual meeting, The New England Conference of Music Theorists
University of Massachusetts – Amherst, April 1-2, 2005

RIOTTE André
1996 « Formalismes, modèles : un nouvel atout pour la composition et l'analyse »
Musurgia. Analyse et Pratique Musicales, 1996, vol. III, n° 3, pp.90-104
Paris : éditions ESKA
1990 Formalisation des structures musicales
Contenu des cours dispensés à l'Université Paris 8 de 1978 à 1990

ROBERGE Marc-André
2003 Guide des difficultés de rédaction en musique
date de dernière modification 2004-08-19

ROBIN Clint
2001 Modes Modes Modes
Theory Forum
WholeNote, The On-Line Guitar Community
(FretBuzz)

RUMERY Kenneth
2004 Set theory
Composer’s Tools – Twelve-Tone Technique

SANDVED Kjell B. & coll.
1958 Le Monde de la Musique
version française de A.-M. Bernard
Editions Le Sphinx : Bruxelles

SCHAFFER John Wm
1996 Review of Peter Castine's Set Theory Objects: Abstractions for Computer-Aided Analysis and Composition of Serial and Atonal Music
Music Theory Online, A Publication of the Society for Music Theory, Volume 2.6

SCHAUB Stephan
2002 « La Set Theory comme outil d'analyse. L'analyse du Sacre par Allen Forte »
présentation dans le cadre du séminaire MaMuX de l'Ircam,
séance : Outils mathématiques dans l'analyse musicale, 23 Mars 2002

SCOTTO Ciro G.
2002 Transformational Networks, Transpositional Combination, and Aggregate Partitions in Processional by George Crumb
Music Theory Online, A Publication of the Society for Music Theory
Volume 8, Number 3, October 2002

SENSEMAN Aaron
1999 All my life
Grassroots Music. Guitar Tab

SERROU Bruno
1998 « Portrait de Iannis Xenakis »
Actualités
Salabert Le Journal, n° 9, 01/1998, p. 3

SHUSTER Lawrence (The Graduate Center of the City University of New York)
2005 Transformational harmony and Voice-Leading in the Canonic Writing of Stravinsky and Webern
Third Annual Conference,
Wilkes University, Wilkes-Barre, Pennsylvania, April 1-2, 2005

SIMÕES Carlota (University of Coimbra, Portugal)
2002 The order of numbers in the Second Viennese School of Music
Mathematic and Art: Mathematical Visualization in Art and Education,
pp. 105-118 (Mathematical Aspects in the Second Viennese School of Music)
ARPAM Project, October 2002, p. 105
Ed. Claude P. BRUTTER
Booksmatter

SMITH Matt (Insititue of Technology Blanchardstown, Ireland)
2002 Pitch Circles – from music theory to computer-based learning tool
The ITB Journal, (Spring 2002)

SODERBERG Stephen
1998 White Note Fantasy
Music Theory Online, A Publication of the Society for Music Theory
Volume 4, Number 3, May, 1998

SOLOMON Larry [@]
Music Theory and Analysis
Solomon's Music Theory & Composition Resources
2002a Constructing a Simple Clock Calculator for Music Set Theoretical Analysis
Introduction to Set Theory, Part I: “Nonlinear Sets”
Set Theory Primer
2002b “12-Tone Pantonal Composition & Serial or Ordered Sets”
Introduction to Set Theory, Part 2
Set Theory Primer
1998 “Nonlinear Sets”
Introduction to Set Theory, Part 1
second edition 2002, rev 2005
Set Theory Primer
1997a The Table of Pitch Class Sets
Analytical Tools
second edition 2003, rev 2005, renamed: “The Table of Set Classes”
1997b Set Theory Glossary
Theory
second edition 2002
1997c “Set Theoretical Analysis”
in “Nonlinear Sets” Introduction to Set Theory, Part I, Frequently Asked Questions
1996 Solomon’s Glossary of Technical Musical Terms
Glossary: Music Theory
1973 Symmetry as a compositionnal determinant
Dissertation, Second edition 2002
(Theory)

TOMLIN Jay [@]
All About Set Theory

TUCKER Gary R. (Mount Allison University)
2000 A Brief Introduction to Pitch-Class Set Analysis
2001 new edition

VERDI Luigi
2002 « Collections symétriques par transposition : quelques observations »
Séminaire : Mathématiques/Musique et relations avec d'autres disciplines
(Atelier : American Set Theory et théories du diatonism)
Conservatoire de musique de Adria – Italie on: Luigi Verdi's Lectures

VIERU Anatol
1980 Cartea modurilor. De la moduri, spre un model al gîndirii muzicale intervalice.
Bucarest : Editura muzicala.

WILLIAMS J. Kent
Intervals
Tutorial
University of Carolina-Greensboro, School of Music
1998 A Hypermedia Environment for Exploring Pitch-Class Sets in Bartók’s Mikrokosmos
University of North Carolina-Greensboro, School of Music
Fifth International Conference
TDML ejournal, Technological Directions in Music Learning

© Gracienne Benoit, 2005

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