[Benade 1960]

     Benade, Arthur H.
     Horns, Strings and Harmony
     Science Study Series, Anchor Books
     Doubleday (1960).

     An elegant and nonmathematical explanantion of the physics
     of musical instruments and aspects of tempering and harmony.

[Burnside 1911]
     Burnside, W.
     Theory of Groups of Finite Order (second edition),
     originally published by Cambridge University Press 1911;
     Dover Publications (1955).

     It's a mathematics book.
[Busoni 1911]
     Busoni, Ferruccio,
     "Sketch of a New Esthetic of Music" in
     Three Classics In The Aesthetics Of Music,
     Dover Publications (1962);
     originally published by G. Schirmer ca. 1911;
     translated from the German by Dr. Th. Baker.

[Colin 1973]
     Colin, Dr. Charles and Schaeffer, Don,
     Complete Encyclopedia of Scales,
     Charles Colin 315 W. 53rd Street, New York, NY 10019 (1973).

[Dodge 1997]
     Dodge, Charles and Jerse, Thomas A.,
     Computer Music: Synthesis, Composition and Performance (2d ed)
     Schirmer Books (1997)

[Grout 1973]
     Grout, Donald Jay,
     A History of Western Music (revised edition),
     W. W. Norton (1973).
[Hindemith 1944]
     Hindemith, Paul,
     Traditional Harmony (second edition),
     Associated Music Publishers, Inc. New York (1944).
[Helmholz 1877]
     Helmholtz, Hermann L. F.,
     On the Sensations of Tone, Fourth (and last) German edition (1877)
     translated by Alexander J. Ellis as the
     second English edition (1885), revised, corrected
     annotated and with additional appendix by the translator,
     Dover Publications (1954).

     A monument of the physics, mathematics and physiology of music.
[Ives 1920]
     Ives, Charles,
     "Essays Before a Sonata" in Three Classics In The Aesthetics Of Music,
     Dover Publications (1962);
     originally published by Knickerbocker Press (1920).

[Leibowitz 1949]
     Leibowitz, Ren\'e,
     Schoenberg and His School: The Comtemporary Stage of the Language
     of Music, translated from the French by Dika Newlin, 1974
     Da Capo Press, a subsidiary of Plenum Publishing Corporation;
     an unabridged reprinting of the first printing by the
     Philosophical Library, Inc. (1949).

[Mazzola 1985]
     Mazzola, Guerino
     Gruppen und Kategorien in der Musik;
     Heldermann, Berlin 1985

[Mazzola 1998]
     Mazzola, Guerino
     Geometrie der Toene;
     Birkhaeuser, Basel 1990

[Mazzola 1999]
     Mazzola, Guerino
     The Topos of Music-Geometric Logic of Concepts, Theory, and Performance
     To appear with Birkhaeuser, Boston-Basel
     To be finished fall 1999.

[Moldenhauer 1979]
     Moldenhauer, Hans with Rosaleen Moldenhauer
     Anton von Webern: A Chronicle of his Life and Work,
     Alfred A. Knopf (1979).

[Persichetti 1961]
     Persichetti, Vincent,
     Twentieth Century Harmony: Creative Aspects and Practice,
     W.W. Norton and Company (1961).

[Pillin 1970]
     Pillin, Boris William,
     Some Aspects of Counterpoint in Selected Works of Arnold Schoenberg,
     Sole Selling Agent:
     Western International Music, Inc., 2859 Holt Avenue,
     Los Angeles, CA 90034 (1970).
     The publisher moved in 1987 from Los Angeles, California to:

         3707 65th Ave.
         Greeley, CO  80634-9626 U.S.A.
         Phone: 970-330-6901
         Fax: 970-330-7738
         website: www.wiminc.com
         e-mail: wimbo@wiminc.com

[Piston 1947]
     Piston, Walter,
     W.W. Norton and Company (1947).

[Piston 1962]
     Piston, Walter,
     Harmony (third edition),
     W.W. Norton and Company (1962).
     [Note: The THIRD edition, NOT the fourth;
            the less said about the fourth, the better.]

[Rothstein 1995]
     Rothstein, Edward,
     Emlems of the Mind, The Inner life of Music and Mathematics
     Avon Books (1995).
     [Not overly technical and readable by most musicians]

[Reese 1940]
     Reese, Gustave,
     Music in the Middle Ages,
     W.W. Norton and Company (1940).

[Schoenberg 1969]
     Schoenberg, Arnold,
     Structural Functions of Harmony (revised and corrected edition),
     W.W. Norton and Company (1969).

[Searle 1954]
     Searle, Humphrey
     The Music of Liszt,
     Williams and Norgate, Ltd., London (1954).
     Repreinted with new preface by the author
     Over Publications (1966).

[Seashore 1938]
     Seashore, Carl E.
     Psychology of music,
     originally published by McGraw-Hill in 1938, and reprinted,
     Dover Publications (1967).

[Stravinsky 1942]
     Stravinsky, Igor,
     Poetics of Music, with preface by George Seferis;
     translated from the French edition (1942) by
     Arthur Knodel and Ingolf Dahl,
     Harvard University Press (1974).

[Toch 1948]
     Toch, Ernst,
     The Shaping Forces in Music,
     (with additions new intoduction and list of Toch's works)
     Dover Publications (1977);
     Originally published by Criterion Press (1948).

[Tremblay 1974]
     Tremblay, George,
     The Definitive Cycle of the Twelve Tone Row,
     E.D.J. Music, Inc.; Sole Selling Agent: Criterion Music Corp.
     17 West 60th Street, New York, NY 10023, (1974).

[Walker 1988]
     Walker, Alan
     Franz Liszt: The Virtuoso Years 1811-1847 (Revised Edition)
     Cornell University Press (1988).

[Walker 1993]
     Walker, Alan
     Franz Liszt: The Weimar Years 1848-1861
     Cornell University Press (1988).

[Walker 1996]
     Walker, Alan
     Franz Liszt: The Final Years 1861-1886
     Cornell University Press (1996).

[Webern 1934]
     Webern, Anton v.,
     Konzert Op. 24 [September 13, 1934]
     Philharmonia Partituren (Autria) #434 - Universal Edition;
     European American Music Distributors Corporation
     195 Allwood Road, Clifton NJ 07012.

[Wolpe 1959]
     Wolpe, Stefan,
     "Thinking Twice" (1959), in
     Contemporary Composers on Contemporary Music,
     Schwartz, Elliot and Childs, Barney (eds),
     Holt Rinehart Winston (1967).

[Xenakis 1963]
     Xenakis, Iannis,
     Musiques Formelles, (French)
     La Revue Musicales editions Richard-Masse, double num\'ero
     sp\'ecial 253 et 254 (1963).

     There is an expanded version with 3 more chapters, and in English

     Xenakis, Iannis: Formalized Music
     Thought and Mathematics in Composition
     Indiana University Press [1971]
     e-mail: iupress@indiana.edu
     x, 273 p.; illus
     LC: 76135017 /MN/r9 Class: ML3800
     ISBN: 0-253-32378-9 (not listed)

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Created: September 1997
Last Updated: March 29, 2002