Some Math and Music References
From Math and Art
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[edit] Some math and music references
Note: Call numbers are included for texts in the Swarthmore College Library system. Unless otherwise noted, texts are located at the Underhill Music Library. During the Fall 2007 semester, many of these are on reserve at Underhill for Music 009A: Math and Music.
[edit] General -- Books
- Assayag, Gerard, Hans Georg Feichtinger, and Jose Francisco Rodrigues, eds. Mathematics and Music: A Diderot Mathemtical Forum. Springer 2002. (ML 3800.M246 2002, Cornell)
- Benson, David J. Music: A Mathematical Offering. Cambridge University Press, 2006. (ML 3800.B46 2007, Cornell)
- Douthett, Jack, Martha Hyde, and Charles J. Smith, eds. Music Theory and Mathematics: Chords, Collections, and Transformations. University of Rochester Press, Forthcoming.
- Fauvel, John, Raymond Flood, and Robin Wilson, eds. Music and Mathematics: From Pythagoras to Fractals. Oxford University Press, 2003. (ML3800.M87 2003)
- Garland, Trudi Hammel, and Charity Vaughan Kahn. Math and Music: Harmonious Connections. Dale Seymour Publications, 1995.
- Harkleroad, Leon. The Math Behind the Music. Cambridge University Press, 2006. (QA19.M87 H37 2006, Cornell)
- Hofstadter, Douglas R. Goedel, Escher, Bach: An Eternal Golden Braid. New York: Basic Books, 1979. (QA9.8.H63 Cornell and McCabe)
- Jedrzejewski, Franck. Mathematical Theory of Music. Editions Delatour France, 2006.
- Levitin, Daniel J. This is Your Brain on Music. New York: Dutton, 2006. (ML3830.L38 2006, Cornell)
- Loy, Gareth. Musimathics: The Mathematical Foundations of Music. Vol. 1. MIT Press, 2006. (Vol. 2, 2007). (QA19.M87 L69 2006, Cornell)
- Mazzola, Guerino. The Topos of Music. Birkhauser, 2002. (ML 3800.M28 2002 Cornell)
- Mazzola Guerino, Thomas Noll, and Emilio Lluis-Puebla, eds. Perspectives in Mathematical and Computational Music Theory. Electronic Publishing Osnabruck, 2004.
- Rothstein, Edward. Emblems of Mind: The Inner Life of Music and Mathematics. Times Books, 1995. (ML3800.R62 2006)
[edit] Acoustics and Tuning
- Backus, John. The Acoustical Foundations of Music. New York: Norton, 2nd ed. 1977. (ML3805.B245 A3 1977)
- Barbour, J. Murray. Tuning and Temperament. Dover reprinted ed. 2004 (orig. published 1953). (ML3809.B234)
- Blackwood, Easley. The Structure of Recognizable Diatonic Tunings. Princeton University Press, 1986. (ML3809.B49 1985)
- Fletcher, Neville H. and Thomas D. Rossing. The Physics of Musical Instruments, 2nd ed. Springer, 1998, 2005. (ML3805.F58 2005, Cornell)
- Johnston, Ian. Measured tones: The Interplay of Physics and Music. 2nd ed. Philadelphia: Institute of Physics Publishing, 2002. (ML3805.J63 2002, Cornell)
- Isacoff, Stuart. Temperament: The Idea that Solved Music’s Greatest Riddle. Alfred A. Knopf, 2001. (ML3809.I83 2001)
- Pierce, John R. The Science of Musical Sound, rev. ed. New York: W.H. Freeman, 1992. (ML 3807.P5 1983)
- Rossing, Thomas. The Science of Sound. 3rd ed. Addison Wesley, 2002. (2nd ed: QC225.15.R67 1990, Cornell)
- Sethares, William A. Tuning, Timbre, Spectrum, Scale. 2nd ed. Springer, 2005. (QC225.7.S48 1998, Cornell)
[edit] Fibonacci and Golden Mean
- Adams, Coutney S. “Erik Satie and Golden Section Analysis.” Music and Letters, Volume 77, Number 2 (May 1996), pp. 242-252.
- Howat, Roy. Debussy in Proportion: A Musical Analysis. New York: Cambridge University Press, 1983. ML410.D28 H68 1983)
- Howat, Roy. “Architecture as drama in late Schubert.” In Schubert Studies, Brian Newbould, ed. London: Ashgate Press, 1998, pp. 168-192. ML410.S3 S2995 1998)
- Kramer, Jonathan. “The Fibonacci Series in Twentieth Century Music,” Journal of Music Theory 17/1 (Spring 1973), pp. 110-148.
- Lendvai, Erno. Bela Bartók: An Analysis of his Music. London: Kahn & Averill, 1991. (ML410.B26L3)
- Lendvai, Erno. “Duality and Synthesis in the Music of Bela Bartók”, in Module, Proportion, Symmetry, Rhythm, Gyorgy Kepes, ed., New York: George Brazille, 1966, pp. 174-193. (+ N7443.K4 M69, McCabe)
- Lowman, Edward. “Some striking proportions in the Music of Bela Bartók”, Fibonacci Quarterly, Vol. 9/5, (1971) pp. 527-537.
- Lowman, Edward. “An Example of Fibonacci Numbers Used to Generate Rhythmic Values in Modern Music,” Fibonacci Quarterly, Vol. 9/4 (1971), pp. 423-36.
- Madden, Charles. Fib and Phi in Music. Salt Lake City: High Art Press, 2005 (ML3800.M2375 2005)
- Norden, Hugo. “Proportions in Music,” Fibonacci Quarterly, Vol. 2/3 (1964) pp. 219-222.
- Norden, Hugo. “Proportions and the Composer,” Fibonacci Quarterly, Vol. 10/3 (1972), pp. 319-322.
- Norden, Hugo. “Per Nørgård's Canon” Fibonacci Quarterly, Vol. 14 (1976), pages 126-128.
- Putz, John F. “The Golden Section and the Piano Sonatas of Mozart,” The Mathematics Magazine Vol 68/4 (October 1995), pp. 275-282.
- Schillinger, Joseph. The Schillinger System of Musical Composition. New York: Carl Fischer, 1946. See pp. 329-52. (MT40.S315 1978 in two volumes, Haverford)
