SET THEORY AND SERIALISM

BIBLIOGRAPHY

 

 

 

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Alphonse, Bo.  1974.  “The Invariance Matrix.”  Ph. D. diss., Yale University.

__________.  1988. Review of Lewin 1987.  Integral  2: 161-177.

Arnold, Stephen, and Graham Hair.  1976.  “An Introduction and a Study:  String Quartet No. 3.”  Perspectives of New Music 14, no. 2 and 15, no 1 (double issue, Spring-Summer 1976 and Fall-Winter 1976):  155-186.

Babbitt, Milton.  1955.  “Some Aspects of Twelve-Tone Composition”  The Score and I. M. A. Magazine 12 (June): 53-61.

__________.  1960.  “Twelve-Tone Invariants as Compositional Determinants.”  Musical Quarterly 46: 246-259.  Reprinted in Problems of Modern Music:  The Princeton Seminars in Advanced Musical Studies. Ed. Paul Henry Lang. New York:  W. W. Norton, 1972: 108-121.

__________.  1961.  “Set Structure as a Compositional Determinant.”  Journal of Music Theory 5 no. 1 (Spring): 72-94.  Reprinted in Boretz and Cone 1972b, 129-147.

__________.  1962.  “Twelve-Tone Rhythmic Structure and the Electronic Medium.”  Perspectives of New Music 1, no. 1 (Fall-Winter): 49-79.  Reprinted in Boretz and Cone 1972b:  148-179.

__________.  1964.  “Remarks on the Recent Stravinsky.”  Perspectives of New Music 2, no. 2 (Spring-Summer): 35-55.  Reprinted in Boretz and Cone 1972a: 165-185.

__________.  1965.  “The Structure and Function of Music Theory.”  College Music Symposium 5: 49-60.  Reprinted in Boretz and Cone 1972b: 10-21.

__________.  1970.  “On Relata I.”  In The Orchestral Composer’s Point of View, Ed. Robert S. Hines.  Norman:  University of Oklahoma Press, 1970: 11-38.  Reprinted in Perspectives of New Music 9, no. 1 (Fall-Winter): 1-22.

__________.  1971.  “Contemporary Music Composition and Music Theory as Contemporary Intellectual History.”  In Perspectives in Musicology, ed. Barry S. Brook, Sherman Van Solkema, and Edward O. D. Downes. New York:  W. W. Norton: 151-184.

__________.  1972.  “Three Essays on Schoenberg:  Concerto for Violin and Orchestra, Das Buch der hängenden Gärten, Moses und Aron.”  In Boretz and Cone 1972a: 47-60.

__________.  1973/74.  “Since Schoenberg.”  Perspectives of New Music 12, nos. 1-2 (double issue:  Fall-Winter 1973/Spring-Summer 1974): 3-28. 

__________.  1976.  “Responses:  A First Approximation.”  Perspectives of New Music, 14, no 2 and 15, no. 1 (double issue, Spring-Summer 1976 and Fall-Winter 1976): 3-23.

__________.  1987.  Words About Music:  The Madison Lectures.  Ed. Stephen Dembski and Joseph N. Straus.  Madison:  University of Wisconsin Press.

Barkin, Elaine.  1973/74.  “A View of Schoenberg’s Op. 23/1.”  Perspectives of New Music 12, nos. 1 and 2 (double issue, Fall-Winter 1973 and Spring-Summer 1974): 99-127.

Batstone, Philip.  1972a.  “Multiple Order Functions in Twelve-Tone Music (Part I).”  Perspectives of New Music 10, no. 2 (Spring-Summer): 60-71.

__________.  1972b.  “Multiple Order Functions in Twelve-Tone Music (Part II).”  Perspectives of New Music 11, no 1 (Fall-Winter): 92-111.

Bauer-Mengelberg, Stefan, and Melvin Ferentz.  1963. “On Eleven-Interval Twelve-Tone Rows.”  Perspectives of New Music 3, no. 2 (Spring-Summer): 125-136.

Benjamin, William.  1974.  The Structure of Atonal Music by Allen Forte.”  Perspectives of New Music 13, no. 1 (Fall-Winter): 170-190.

Boretz, Benjamin.  1963.  Review of Perle 1972.  Perspectives of New Music 3, no. 2 (Spring-Summer): 93-103.

__________.  1966.  “A Note on Discourse and Contemporary Musical Thought.”  Perspectives of New Music 4, no. 2 (Spring-Summer): 76-80.

__________.  1969.  “Meta-Variations:  Studies in the Foundations of Musical Thought (I).”  Perspectives of New Music 8, no. 1: 1-75.

__________.  1970a.  “Sketch of a Musical System (Meta-Variations, Part II).”  Perspectives of New Music 8, no. 2 (Spring-Summer): 49-112.

__________.  1970b.  “The Construction of Musical Syntax (I).”  Perspectives of New Music 9, no. 1 (Fall-Winter): 23-42.

__________.  1971.  “Musical Syntax (II).”  Perspectives of New Music 9, no. 2 and 10, no. 1 (double issue, Spring-Summer/Fall-Winter): 232-270.

__________.  1972.  “Meta-Variations, Part IV:  Analytic Fallout (I).”  Perspectives of New Music 11, no. 1 (Fall-Winter): 146-223.

__________.  1973.  “Meta-Variations, Part IV:  Analytic Fallout (II).”  Perspectives of New Music 11, no. 2 (Spring-Summer): 156-203.

Boretz, Benjamin and Edward T. Cone, eds.  1971.  Perspectives on American Composers.  New York:  W. W. Norton.

__________. eds.  1972a.  Perspectives on Schoenberg and Stravinsky.  Revised edition, New York:  W. W. Norton.

__________. eds.  1972b.  Perspectives on Contemporary Music Theory.  New York:  W. W. Norton.

__________. eds. 1976.  Perspectives on Notation and Performance.  New York:  W. W. Norton.

Boss, Jack.  1992.  “Schoenberg’s Op. 22 Radio Talk and Developing Variation in Atonal Music.”  Music Theory Spectrum 12, no. 2 (Fall): 125-149.

Boulez, Pierre.  1991.  Stocktakings from an Apprenticeship.  Paul Thevenin ed., Robert Piencikowski, trans.  Oxford:  Clarendon Press.

Browne, Richmond.  1981a.  “Tonal Implications of the Diatonic Set.”  In Theory Only 5, no. 6 and 5, no. 7 (double issue, July and August): 3-21.

__________.  1981b.  Review of Forte 1973.  Journal of Music Theory 18, no. 2 (Fall): 390-409.

Burkhart, Charles.  1973/74.  “Schoenberg’s Farben.”  Perspectives of New Music 12, no. 1 and 12, no. 2 (double issue, Fall-Winter 1973 and Spring-Summer 1974): 141-172.

__________.  1980.  “The Symmetrical Source of Source of Webern’s Opus 5, No. 4.”  The Music Forum 5: 317-334. 

Cherlin, Michael. 1988.  Review of Morris 1987.  Integral 2 : 179-200.

__________.  1992.  “Dramaturgy and Mirror Imagery in Schoenberg’s Moses und Aron:  Two Paradigmatic Interval Palindromes.”  Perspectives of New Music 29, no. 2 (Summer): 50-71.

__________.  1993.  “On Adapting Theoretical Models from the Work of David Lewin.”  Indiana Theory Review. 14, no. 2 (Fall): 19-43.

Chrisman, Richard.  “Identification and Correlation of Pitch Class Sets.” Journal of Music Theory 15, no. 1 (Spring): 58-83.

Clough, John.  1965.  “Pitch-Set Equivalence and Inclusion (A Comment on Forte’s Theory of Set-Complexes).”  Journal of Music Theory 29, no. 1 (Spring): 163-171.

__________.  1979a.  “Aspects of Diatonic Sets.”  Journal of Music Theory 23, no. 1 (Spring): 45-61.

__________.  1979/80.  “Diatonic Intervals Sets and Transformational Structures.”  Perspectives of New Music 18, no. 1 and 18, no. 2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 461-482.

__________.  1989.  Review of Lewin 1987.  Music Theory Spectrum 11, no. 2 (Fall): 226-239.

Cohn, Richard.  1988.  “Inversional Symmetry and Transpositional Combination in Bartok.”  Music Theory Spectrum 10:. 19-42.

__________.  1998.  “Introduction to Neo-Riemannian Theory:  A Survey and Historical Perspective.”  Journal of Music Theory 42, no. 2 (Fall):  167-179.

Dembski, Stephen.  1989/90.  “The Context of Composition:  The Reception of Robert Morris’s Theory of Compositional Design.”  Theory and Practice. 14/15 (double issue): 187-201. 

Dubiel, Joseph.  1990a.  Review essay:  Robert Morris, Composition with Pitch-Classes:  A Theory of Compositional Design.  The Journal of Musicological Research 10, no. 2: 47-80.

__________.  1990b.  “Three Essays on Milton Babbitt (Part I):  ‘Thick Array/Of Depth Immeasurable’.”  Perspectives of New Music 28, no. 2 (Summer): 47-80.

__________.  1991.  “Three Essays on Milton Babbitt (Part II):  “For Making This Occasion Necessary’.”  Perspectives of New Music 29, no. 1 (Winter): 90-122. 

__________.  1992.  “Three Essays on Milton Babbitt (Part III):  ‘The Animation of Lists’.”  Perspectives of New Music 29, no. 1 (Winter): 82-131. 

Forte, Allen.  1963.  “Context and Continuity in an Atonal Work.”  Perspectives of New Music 1, no. 2 (Spring-Summer): 72-88.

__________.  1964.  “A Theory of Set-Complexes for Music.”  Journal of Music Theory 8, no. 2 (Fall): 113-122.

__________.  1972.  “Sets and Nonsets in Schoenberg’s Atonal Music.”  Perspectives of New Music 11, no. 1: 43-64.

__________.  1973.  The Structure of Atonal Music.  New Haven:  Yale University Press.

__________.  1974.  Contribution to “Analysis Symposium:  Webern, Orchestral Pieces (1913), Movement I (‘Bewegt’).”  Journal of Music Theory 18, no. 1 (Spring): 13-43.

Gable, David and Robert P. Morgan, eds.  1991.  Alban Berg: Historical and Analytical Perspectives.  Oxford:  Clarendon Press.

Gamer, Carlton.1967.  “Deep Scales and Difference Sets in Equal-Tempered Systems.”  Proceedings of the American Society of University Composers 2: 113-122.

Gamer, Carlton, and Paul Lansky.  1976.  “Fanfares for the Common Tone.”  Perspectives of New Music 14, no. 2 and 15, no. 1 (double issue, Spring-Summer and Fall-Winter): 229-235.

Glock, William, ed.  1986.  Pierre Boulez:  A Symposium.  New York:  Da Capo Press.

Graebner, Eric.  1973/74.  “An Analysis of Schoenberg’s Klavierstuck, Op. 33a.” Perspectives of New Music 12, no. 1 and 12, no. 2 (double issue, Fall-Winter 1973 and Spring-Summer 1974): 128-140.

Graziano, John.  1972.  “Serial Procedures in Schoenberg’s Op. 23.”  Current Musicology 13: 58-63.

Haimo, Ethan.  1990.  Schoenberg’s Serial Odyssey:  The Evolution of His Twelve-Tone Method, 1914-1928.  Oxford:  Oxford University Press.

Harvey, Johnathan.  1975.  The Music of Stockhausen.  Berkeley:  University of California Press.

Hasty, Christopher.  1981.  “Segmentation and Process in Post-Tonal Music.”  Music Theory Spectrum 3: 54-73.

Howe, Hubert S., Jr.  1965.  “On Some Combinatorial Properties of Pitch Structures.”  Perspectives of New Music 4, no. 1 (Fall-Winter): 45-61.

Kassler, Michael.  1967.  “Toward a Theory that is the Twelve-Note-Class System.”  Perspectives of New Music 5, no. 2 (Spring-Summer).

Koblyakov, Lev.  1990.  Pierre Boulez:  A World of Harmony.  New York:  Harwood Academic Publishers.

Kohl, Jerome.  1979/80.  “Exposition in Stravinsky’s Orchestral Variations.”  Perspectives of New Music 18, no. 1 and 18, no. 2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 391-405.

Kurth, Richard B.  1992.  “Mosaic Polyphony:  Formal Balance, Imbalance, and Phrase Formation in the Prelude of Schoenberg’s Suite, Op. 25.”  Music Theory Spectrum 14, no. 2 (Fall): 188-208.

Lai, Eric.  1989.  “Transformational Structures in Webern’s Opus 5, No. 3.”  Indiana Theory Review 10 (Spring/Fall): 21-50.

Lansky, Paul.  1975.  “Pitch-Class Consciousness.”  Perspectives of New Music 13, no. 2 (Spring-Summer): 30-56. 

Lewin, David.  1959.  “Re:  Intervallic Relations Between Two Collections of Notes.”  Journal of Music Theory 3, no. 2 (Fall): 298-301.

__________.  1960.  “Re:  The Intervallic Content of a Collection of Notes, Intervallic Relations Between a Collection of Notes and Its Complement:  An Application to Schoenberg’s Hexachordal Pieces.”  Journal of Music Theory 4, no. 1 (Spring): 98-101.

__________.  1962a.  “A Metrical Problem in Webern’s Op. 27.”  Journal of Music Theory 6, no. 1 (Spring): 124-132.

__________.  1962b.  “A Theory of Segmental Association for Twelve-Tone Music.”  Perspectives of New Music 1, no. 1 (Fall-Winter): 89-116.  Reprinted in Boretz and Cone 1972b: 180-207.

__________.  1966.  “On Certain Techniques of Reordering in Serial Music.”  Journal of Music Theory 10, no. 2: 276-287.

__________.  1968.  “Inversional Balance as an Organizing Force in Schoenberg’s Music and Thought.”  Perspectives of New Music 6, no. 2 (Spring-Summer): 1-21.

__________.  1973/74.  “Toward the Analysis of a Schoenberg Song.”  Perspectives of New Music 12 nos. 1-2 (double issue, Fall-Winter 1973 and Spring-Summer 1974): 43-86.

__________.  1976.  “On Partial Ordering.”  Perspectives of New Music 14, no. 2 and 15 no. 1 (double issue, Spring-Summer and Fall-Winter): 252-259.

__________.  1977a.  “A Label-Free Development for 12-Pitch-Class Systems.”  Journal of Music Theory 21, no. 1 (Spring): 29-48.

__________.  1977b.  “Forte’s Interval Vector, My Interval Function, and Regener’s Common-Note Function.”  Journal of Music Theory 21, no. 2 (Fall): 194-237.

__________.  1979/80.  “A Response to a Response:  On Pcset Relatedness.”  Perspectives of New Music 18, nos. 1-2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 498-502.

__________.  1979/80b.  “Some New Constructs Involving Abstract Pcsets, and Probabalistic Applications.”  Perspectives of New Music 18, nos. 1-2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 433-444.

__________.  1981a.  “Some Investigations into Foreground Rhythmic and Metric Patterning.”  In Music Theory:  Special Topics.  Ed. Richmond Browne, New York:  Academic Press: 101-137.

__________.  1981b.  “A Way into Schoenberg’s Opus 15, Number 7.” In Theory Only 6, no. 1 (November): 3-24.

__________.  1982.  “A Formal Theory of General Tonal Functions.”  Journal of Music Theory 26, no. 1 (Spring): 23-60.

__________.  1982/83.  “Transformational Techniques in Atonal and Other Music Theories.”  Perspectives of New Music 21, nos. 1-2 (double issue, Fall-Winter 1982 and Spring-Summer 1983):  312-370.

__________.  1984  “On Formal Intervals Between Time-Spans.”  Music Perception 4, no. 1 (Summer): 414-423.

__________.  1987.  Generalized Musical Intervals and Transformations.  New Haven:  Yale University Press.

__________.  1990.  “Klumpenhouwer Networks and Some Isographies that Involve Them.”  Music Theory Spectrum 12, no. 1 (Spring): 83-120.

__________.  1993a.  Musical Form and Transformation:  4 Analytic Essays.  New Haven:  Yale University Press.

__________.  1993b.  “A Metrical Problem in Webern’s  Op. 27.”  Music Analysis 12, no. 3 (October): 343-354.

__________.  1994.  “A Tutorial on Klumpenhouwer Networks, Using the Chorale in Schoenberg’s Opus 11, No. 2.”  Journal of Music Theory 38. no. 1 (Spring): 79-101.

__________.  1995.  “Generalized Interval Systems for Babbitt’s Lists and Schoenberg’s String Trio.”  Music Theory Spectrum 17, no. 1 (Spring): 81-118.

__________.  1998.  “Some Ideas about Voice-Leading between Pcsets.”  Journal of Music Theory 42, no. 1 (Spring): .15-72.

Maconie, Robin.  1990.  The Works of Karlheinz Stockhausen.  2nd edition.  London:  Oxford University Press.

Martino, Donald.  1961.  “The Source Set and Its Aggregate Formations.”  Journal of Music Theory 5, no. 2 (Fall): 224-273.  Addendum in vol. 6, no. 2 (Fall 1962), 322-323. 

Mead, Andrew W.  1983.  “Detail and the Array in Milton Babbitt’s My Complements to Roger.”  Music Theory Spectrum 5 (Spring): 89-109.

__________.  1984a.  “Pedagogically Speaking:  A Practical Method for Dealing with Unordered Pitch-Class Collections.”  In Theory Only 7, no. 5 and 7, no. 6 (double issue, March): 54-66.

__________.  1984b.  “Recent Developments in the Music of Milton Babbitt.”  Musical Quarterly 70, no. 3 (Summer): 310-331.

__________.  1986.  “Large-Scale Strategy in Arnold Schoenberg’s Twelve-Tone Music.”  Perspectives of New Music 24, no. 1 (Fall-Winter): 120-157.

__________.  1987a.  “About About Time’s Time:  A Survey of Milton Babbitt’s Recent Rhythmic Practice.”  Perspectives of New Music 25, nos. 1 and 2 (double issue, Winter-Summer): 182-235.

__________.  1987b.  “ ‘Tonal’ Forms in Arnold Schoenberg’s Twelve-Tone Music.”  Music Theory Spectrum 9 (Spring): 67-92.

__________.  1988.  “Some Implications of the Pitch Class/Order Number Isomorphism Inherent in the Twelve-Tone System:  Part One.”  Perspectives of New Music 26 no. 2 (Summer): 96-163.  

__________.  1989a.  “Some Implications of the Pitch Class/Order Number Isomorphism Inherent in the Twelve-Tone System:  Part One:  The Mallalieu Complex:  Its Extensions and Related Rows.”  Perspectives of New Music 27, no. 1 (Winter): 180-233.

__________.  1989b.  “Twelve-Tone Organizational Strategies:  An Analytical Sampler.”  Integral 3: 93-169.

__________.  1991.  Review of Morris 1987.  Perspectives of New Music 29, no. 1 (Winter): 264-310.  

__________.  1992.  Review of Kathryn Bailey, The Twelve-Note Music of Anton Webern:  Old Forms in a New Language.  Integral 6: 107-135.

__________.  1993.  “Webern, Tradition, and ‘Composing with Twelve Tones’.”  Music Theory Spectrum 15, no.2 (Fall): 173-204.

__________.  1994.  An Introduction to the Music of Milton Babbitt.  Princeton:  Princeton University Press.

Misch, Imke.  1998.  “On the Serial Shaping of Stockhausen’s Gruppen fur Drei Orchester.”  Perspectives of New Music, vol. 36 no. 1 (Winter 1998):  143-185.

Morris, Robert.  1977.  “On the Generation of Multiple Order-Function Twelve-Tone Rows.”  Journal of Music Theory 21, no. 2 (Fall): 238-262.  

__________.  1979/80.  “A Similarity Index for Pitch-Class Sets.”  Perspectives of New Music 18 nos. 1 and 2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 432-486.   

__________.  1982/83.  “Combinatoriality without the Aggregate.”  Perspectives of New Music 21, nos. 1 and 2 (double issue, Fall-Winter 1982 and Spring-Summer 1983): 432-486.

__________.  1982b.  “Set Groups, Complementation, and Mappings Among Pitch-Class Sets.”  Journal of Music Theory. 26, no. 1: 101-144.

__________.  1982c.  Review of Rahn 1980.  Music Theory Spectrum 4 (1982): 138-154.

__________.  1983a.  “Set-Type Saturation Among Twelve-Tone Rows.”  Perspectives of New Music 22, nos. 1 and 2 (double issue, Fall-Winter 1983 and Spring-Summer 1984): 187-217.

__________.  1983b.  “Some Compositional and Analytical Applications of T-Matrices.”  Integral 3: 37-66.

__________.  1987.  Composition with Pitch-Classes.  New Haven, Yale University Press.

__________.  1988.  “Generalizing Rotational Arrays.”  Journal of Music Theory 32, no. 1 (Spring): 75-132.

__________.  1992.  “Modes of Coherence and Continuity in Schoenberg’s Piano Piece, Op. 23, No. 1.”  Theory and Practice 17: 5-34.

Peel, John.  1976.  “On Some Celebrated Measures of the Schoenberg String Trio.”  Perspectives of New Music 14, no. 2 and 15, no. 1 (double issue, Spring-Summer 1976 and Fall-Winter 1976): 260-279.

__________.  1989.  Review of Morris 1987.  Journal of Music Theory 33, no. 2 (Fall): 400-416.

Peles, Stephen.  1983/84.  “Interpretations of Sets in Multiple Dimensions:  Notes on the Second Movement of Arnold Schoenberg’s String Quartet #3.”  Perspectives of New Music 22, nos. 1 and 2 (double issue, Fall-Winter 1983 and Spring-Summer 1984): 303-52.

__________.  1992.  “Continuity, Reference, and Implications:  Remarks on Schoenberg’s Proverbial ‘Difficulty’.”  Theory and Practice 17: 35-58.

__________.  1998.  “Serialism and Complexity.” In The Cambridge History of American Music.  Ed. David Nicholls.  Cambridge:  Cambridge University Press, 496-516.

__________.  2000. “Schoenberg and the Tradition of Imitative Counterpoint:  Remarks on the Third and Fourth Quartets and the Trio.” In ‘Music of My Future’:  The Schoenberg Quartets and Trio.  Ed. Reinhold Brinkmann and Christoph Wolff.  Cambridge, MA:  Harvard University Press, 117-138.

Perle, George.  1972.  Serial Composition and Atonality:  An Introduction to the Music of Schoenberg, Berg, and Webern.  Third edition, revised and enlarged.  Berkeley: University of California Press.

__________.1980.  The Operas of Alban Berg, Volume One:  Wozzeck.  Berkeley:  University of California Press.

__________. 1989. The Operas of Alban Berg, Volume Two: Lulu.  Berkeley:  University of California Press.

Peyser, Joan. 1999.  To Boulez and Beyond:  Music in Europe Since the Rite of Spring.  New York:  Billboard Books.

Rahn, John.  1974.  “On Pitch or Rhythm:  Interpretations of Orderings Of and In Pitch and Time.”  Perspectives of New Music 13, no. 2 (Fall-Winter): 182-203.

__________.  1979a.  “Logic, Set Theory, Music Theory.”  College Music Symposium 19, no. 1 (Spring): 114-127.

__________.  1979b.  “Relating Sets.”  Perspectives of New Music 18, nos. 1-2 (double issue, Fall-Winter 1979 and Spring-Summer 1980): 481-498.

__________.  1980.  Basic Atonal Theory.  New York:  Longman.

__________.  1987.  Review of Lewin 1987.  Journal of Music Theory 31, no. 2 (Fall): 305-318.

Regener, Eric.  1974.  “On Allen Forte’s Theory of Chords.”  Perspectives of New Music 13, no. 1 (Fall-Winter): 191-212.

Roig-Francoli, Miguel A.  1995.  “Harmonic and Formal Processes in Ligetti’s Net-Structure Compositions.”  Music Theory Spectrum 17, no. 2 (Fall):  242-267.

Rogers, John.  1967.  “Toward a System of Rotational Arrays.”  Proceedings of the American Society of University Composers 2: 61-84.

Rothgeb, John.  1966.  “Some Uses of Mathematical Concepts in Theories of Music.”  Journal of Music Theory 10, no. 2 (Winter): 200-215.

__________.  1967.  “Some Ordering Relationships in the Twelve-Tone System.” Journal of Music Theory 11, no. 2: 176-197.

Schoenberg, Arnold. 1972 [1932].  “Analysis of the Four Orchestral Songs Opus 22.”  Claudio Spies, trans., annotator.  In Boretz and Cone 1972a: 25-45.

__________.  1984.  Style and Idea:  Selected Writings of Arnold Schoenberg.  Leonard Stein, ed., Leo Black, trans.  Revised edition.  Berkeley and Los Angeles:  University of California Press.

__________.  1995.  The Musical Idea and the Logic, Technique, and Art of Its Presentation.  Edited, translated, and with a commentary by Patricia Carpenter and Severine Neff.  New York:  Columbia University Press.

Slawson, Wayne.  1987.  Review of Lewin 1987.  Music Perception 6, no. 2 (Winter): 203-212.

Spies, Claudio.  1965a.  “Notes on Stravinsky’s Abraham and Isaac.”  Perspectives of New Music. 3, no. 2 (Spring-Summer): 104-126.  Reprinted in Boretz and Cone 1972a: 186-209.

__________.  1965b.  “Notes on Stravinsky’s Variations.”  Perspectives of New Music 4, no. 1 (Fall-Winter): 62-74.  Reprinted in Boretz and Cone 1972a: 210-222. 

__________.  1967.  “Some Notes on Stravinsky’s Requiem Settings.”  Perspectives of New Music 5, no. 2: 98-123.  Reprinted in Boretz and Cone 1972a: 223-249.

Starr, Daniel.  1978.  “Sets, Invariance, and Partitions.”  Journal of Music Theory 22, no. 1 (Spring): 1-42.

__________.  1984.  “Derivation and Polyphony.”  Perspectives of New Music 23, no. 1 (Fall-Winter): 180-257.

Starr, Daniel, and Robert Morris.  1977.  “A General Theory of Combinatoriality and the Aggregate (Part I).”  Perspectives of New Music 16, no. 1 (Fall-Winter): 1-35.

__________.  1978.  “A General Theory of Combinatoriality and the Aggregate (Part II).”  Perspectives of New Music 16, no. 2 (Spring-Summer): 50-84.

Truelove, Stephen.  1998.  “The Translation of Rhythm into Pitch in Stockhausen’s Klavierstuck XI.”  Perspectives of New Music vol. 35, no. 1 (Winter 1998):  189-220.

Westergaard, Peter.  1963.  “Webern and ‘Total Organization’:  An Analysis of the Second Movement of the Piano Variations, Op. 27.”  Perspectives of New Music 1, no. 2: 107-20.

__________.  1965.  “Some Problems Raised by the Rhythmic Procedures in Milton Babbitt’s Composition for Twelve Instruments”  Perspectives of New Music 4, no. 1 (Spring-Summer): 109-118.

__________.  1966.  “Toward a Twelve-Tone Polyphony.”  Perspectives of New Music 4, no. 2: 90-112.  Reprinted in Boretz and Cone 1972b: 238-260.

Winham, Godfrey.  1970.  “Composition with Arrays.”  Perspectives of New Music 9, no. 1: 43-67.  Reprinted in Boretz and Cone 1972b: 239-285.

Wintle, Christopher.  1976.  “Milton Babbitt’s Semi-Simple Variations.”  Perspectives of New Music 14, no. 2 and 15, no. 1 (double issue, Spring-Summer 1976 and Fall-Winter 1976): 111-154.

Wittlich, Gary.  1974.  “Interval Set Structure in Schoenberg’s Op. 11, No. 1.”  Perspectives of New Music 13, no. 1: 41-55.