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Books:
- With Joyce Conley. Basic Harmonic Progressions.
New York: W. W. Norton, 1984.
- With Claire Boge & Joyce Conley. Scales,
Intervals, Keys, Triads, Rhythm, and Meter. Revised &
expanded ed., New York: W. W. Norton, 1999. [First ed. 1964;
second ed. 1983.]
Articles in Refereed Journals:
- With Jack Douthett & Rober Entringer.
"Concentric Circle Problem." Mathematics Magazine
(forthcoming, June 2000).
- "Flip-Flop Circles and their Groups."
Journal of the Science and Practice of Music 13 (Seoul,
1999): 169-201. Korean translation by So-Yung Ahn.
- With Nora Engebretsen & Jonathan Kochavi.
"Scales, Sets, and Interval Cycles: A Taxonomy." Music
Theory Spectrum 21 (1999): 74-104.
- "A Rudimentary Model for Contextual
Transposition and Inversion." Journal of Music Theory
42 (1998): 297-306.
- With John Cuciurean & Jack Douthett.
"Hyperscales and the Generalized Tetrachord." Journal
of Music Theory 41 (1997): 67-100.
- With Jack Douthett. "Hypertetrachords."
Muzica 6 (1995): 100-109.
- "Diatonic Interval Cycles and Hierarchical
Structure." Perspectives of New Music 32 (1994):
228-253.
- With Jack Douthett, N. Ramanathan, &
Lewis Rowell. "Ancient Indian Scales and Recent Diatonic
Theory." Music Theory Spectrum 15 (1993): 36-58.
- With Jack Douthett. "Maximally Even
Sets." Journal of Music Theory 35 (1991): 93-173.
Winner of 1993 Outstanding Publication Award, Society for
Music Theory.
- With Gerald Myerson. "Variety and
Multiplicity in Diatonic Systems." Journal of Music Theory
29 (1985): 249-270.
- With Gerald Myerson. "Musical Scales
and the Generalized Circle of Fifths." American Mathematical
Monthly 93 (1986): 695-701 [a version of the previous article,
addressed to scientists].
- "Profiling of Pitch-Class Sets by
Means of the Exclusion Relation." Journal of Music Theory
27 (1983): 181-201.
- "Diatonic Interval Sets and Transformational
Structures." Perspectives of New Music 18 (1979-80):
461-482.
- "Aspects of Diatonic Sets."
Journal of Music Theory 23 (1979): 45-61.
- "TEMPO: A Composer's Programming
Language." Perspectives of New Music 9 (1970): 113-125.
- "Pitch-Set Equivalence and Inclusion:
A Comment on Forte's Theory of Set- Complexes." Journal
of Music Theory 9 (1965): 163-171.
- "Indirect Chromaticism in the Renaissance."
Journal of Music Theory 3 (1959): 147-150.
- "The Leading Tone in Direct Chromaticism."
Journal of Music Theory 1 (1957): 2-21.
Reviews and Reports:
- Review of David Lewin's Generalized
Musical Intervals and Transformations. Music Theory Spectrum
11 (1989): 226-231.
- Review of Douglas Hofstadter's Gödel,
Escher, Bach. In Theory Only 5/2 (1979): 47-49.
- Review of the First International Conference
on Computer Music. In Theory Only 2/8 (1976): 34-35.
- "A Report from Oberlin." Computer
Music Newsletter (1971): 3-6.
- IRMA (Interactive Real-Time Music Assembler)
User's Guide. Technical report issued by the Oberlin College
Computer Music Project, 1970. 22 pp.
- TEMPO Language Specifications. Technical
report issued by the Oberlin College Computer Music Project,
1970. 60 pp.
- Review of J. Welton Marquis's Twentieth-Century
Music Idioms. Journal of Music Theory 9/2 (1965): 313-315.
Conference Papers and Special Lectures:
- "Maximally Even Sets: A Discovery
in Mathematical Music Theory is Found to Apply in Physics."
BRIDGES: Mathematical Connections in Art, Music, and Science,
Winfield, Kansas, 2000.
- "Uniform Flip-Flop Circles and their
Groups." Hanyang University, Seoul, Korea, 1999; Ewha Women's
University, Seoul, Korea, 1999; Pusan National University, Pusan,
Korea, 1999; Music Theory Society of New York State, New York,
2000; accepted for Society for Music Theory annual conference,
Toronto, 2000.
- With Jack Douthett & Richard Krantz.
"Music, Mathematics, and Magnetic Ordering." BRIDGES,
Winfield, Kansas, 1999.
- "Cardinality and Variety: Analytical
Consequences." University of Western Ontario, 1996.
- "Aspects of Sequence in Music of
the First Viennese School." Invited paper presented at the
international conference, "Austria, 996-1996: Music in a
Changing Society," Ottawa, 1996 [forthcoming in conference
proceedings].
- With Nora Engebretsen. "Scales, Sets,
and Interval Cycles: A Taxonomy." Society for Music Theory,
National Conference, New York, 1995; & European Society for
Cognition in Music. Uppsala, Sweden, 1997.
- With Jack Douthett. "Hypertetrachords."
International Conference on Music and Mathematics, Bucharest.,
1994.
- "Music and Mathematics: Recent Connections."
Mt. Holyoke College, 1994.
- With Jack Douthett, N. Ramanathan, and
Lewis Rowell. "Ancient Indian Scales an Modern Diatonic
Theory." Society for Music Theory, National Conference,
Cincinnati, 1991.
- "Interval Circles." Eastman
School of Music, 1990.
- With Jack Douthett. "Maximally Even
Sets." Society for Music Theory, National Conference, Austin,
1989.
- "Scale Theory, Finger Exercises,
and Ear Training." Music Teachers National Association,
New York Chapter, Buffalo, 1987.
- "Cardinality Equals Variety: Analytical
Consequences." Indiana University (Bloomington), 1985.
- "A New Theorem of the Diatonic Set."
SUNY at Buffalo, 1984.
- "Profiling of Pitch-Class Sets by
Means of the Exclusion Relation." Society for Music Theory,
National Conference, New Haven, 1983.
- "Motivic Shape in the Late String
Quartets of Beethoven." SUNY at Buffalo, 1982.
- With Stefan Ehrenkreutz. "Diatonic
Hierarchies in Tonal Music." Society for Music Theory, National
Conference, Los Angeles, 1981.
- "An Example of Diatonic Hierarchy
in Beethoven's Symphony no. 5 in C minor." SUNY at Buffalo,
1981.
- "Chord Personality Profiles."
University of Michigan, 1981.
- "Music and Mathematics." University
of Michigan, 1980.
- "Diatonic Interval Sets and Transformational
Structures." Society for Music Theory, National Conference,
New York, 1979.
- "Some Unstudied Diatonic Structures
in Classical Music." University of Michigan, 1979.
- "Diatonic Pitch-Class Sets in Beethoven's
Bagatelle in G minor, opus 119, no. 1." University of Chicago,
1977.
- "Computer Music as an Educational
Resource." Michigan Academy of Science, Arts, and Letters,
Michigan State University, 1974.
- "Algorithms for Musical Composition."
Cranbrook Academy of the Arts, Detroit, 1973.
- "An Interactive System for Computer
Sound Generation." American Society of University Composers,
Houston, National Conference, 1971.
- "IRMA: An Interactive Real-Time Digital
System for Electronic Music." Institute of Electrical and
Electronics Engineers, National Conference, New York, 1971.
- "Computer Sound-Generation: an Educational
Resource at Oberlin College." Conference on Computers in
the Undergraduate Curricula, Iowa City, 1970.
- "Computer Music." Association
for Computing Machinery, National Conference, Las Vegas, 1969.
- "Computer Music and Group Theory."
American Society of University Composers, National Conference,
Santa Barbara, 1969.
- "A-Subroutines in MUSIC4." New
York University, 1967.
- "Gershwin's Porgy and Bess."
Oberlin College, 1964.
- "Stravinsky's Symphony of Psalms."
Oberlin College, 1963.
- "Self-Instruction in Music Theory."
Bowling Green State University, 1960; & Ohio Psychological
Association, Cleveland, November 1960.
- "Features of Melody in the Songs
of George Gershwin." Oberlin College, 1960.
Works Submitted or in Preparation:
- With Jack Douthett and Richard Krantz.
"Music, Mathematics, and Magnetic Ordering." Submitted.
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