BAIN MUSC726T Bibliography

Ashton, Anthony. 2003. Harmonograph: A Visual Guide to the Mathematics of Music. New York: Walker Publishing Company. {GB}

Backus, John. 1977. The Acoustical Foundations of Music, 2nd ed. New York: Norton. {GB}

Barbieri, Patrizio. 2008. Enharmonic: Instruments and Music 1470-1900. Rome: Il Levante Liberia Editrice. {GBd}

Barker, Andrew, et al. 1984. Greek Musical Writings, Volume 2, Harmonic and Acoustic Theory. Cambridge: Cambridge University Press. {GB}

Barbour, J. Murray. 2004/1951. Tuning and Temperament: A Historical Survey. Mineola, NY: Dover. {GB; Full text: HathiTrust}

Benade, Arthur. Fundamentals of Musical Acoustics. 1990. Mineola, NY: Dover. {GB}

Benson, David. 2007. Music: A Mathematical Offering. Cambridge: Cambridge University Press. {GB; Website}

Blackwood, Easley. 2014/1985. The Structure of Recognizable Diatonic Tunings. Princeton NJ: Princeton University Press. {GB; Full text: TCL}

Benson, David. 2007. Music: A Mathematical Offering. Cambridge: Cambridge University Press. {GB; Website}

Bernstein, Leonard. 1976. The Unanswered Question: Six Talks at Harvard. Cambridge, MA: Harvard University Press. {GB}

Bregman, Albert. 1990. Auditory Scene Analysis: The Perceptual Organization of Sound. Cambridge, MA: MIT Press. {GB}

Busoni, Ferruccio. 1907. Sketch of a New Esthetic of Music. New York: G. Schirmer. {Gutenberg}

Campbell, Murray and Clive Greated. 1987. The Musician's Guide to Acoustics. New York: Oxford University Press. {GB}

Chalmers, John. 1992. Divisions of the Tetrachord. Lebanon, NH: Frog Peak. {Frog Peak; Lumma.org}

Christensen, Thomas. 2002. The Cambridge History of Western Music Theory. Cambridge: Cambridge University Press. {GB}

Cowell, Henry. 1996/1930. New Musical Resources. Cambridge: Cambridge University Press. {GB; Archive.org}

Deutsch, Diana. ed. 2012/1982. The Psychology of Music, 3rd ed. New York: Academic Press. {GB}

Dolan, Emily I. and Alexander Rehding. 2021. The Oxford Handbook of Timbre. New York: Oxford University Press. {GB; Full text: TCL}

Doty, David B. 2002/1994. The Just Intonation Primer: An Introduction to the Theory and Practice of Just Intonation, 3rd ed. San Francisco, CA: Just Intonation Network. {Website}

Duffin, Ross. 2007. How Equal Temperament Ruined Harmony (and Why You Should Care). New York: Norton. {GB}

Fauvel, John, Raymond Flood, and Robin Wilson, eds. 2003. Music and Mathematics: From Pythagoras to Fractals. New York: Oxford University Press. {GB}

Fitzpatrick, Richard. 2008. Euclid's Elements of Geometry. Available online at: <https://farside.ph.utexas.edu/Books/Euclid/Elements.pdf>.

Fletcher, Neville and Thomas Rossing. 1998. The Physics of Musical Instruments, 2nd ed. New York: Springer. {GB}

Fokker, A. D. 1949. Just Intonation: And the Combination of Harmonic Diatonic Melodic Groups. The Hague: Martinus Nijhoff. {Wilson Archives}

Gann, Kyle. 2019. The Arithmetic of Listening: Tuning Theory and History for the Impractical Musician. Urbana: University of Illinois Press. {GB; Full text: TCL; Audio Examples}

_________. 1997. American Music in the Twentieth Century. New York: Schirmer. {GBd; TOC}

Guedj, Denis. 1997. Numbers: The Universal Language. New York: Harry N. Abrams, Inc. {GB}

Haluska, Jan. 2003. The Mathematical Theory of Tone Systems. New York: Taylor and Francis. {GB}

Hardy, G. H. and E. M. Wright. 2008/1936. An Introduction to the Theory of Numbers, 6th ed. London: Oxford University Press. {GB}

Harrison, Lou. 1971. Lou Harrison's Music Primer: Various Items about Music to 1970. New York: Edition Peters. {GB; Edition Peters}

Helmholtz, Hermann von, and Alexander John Ellis. 1954/1885. On the Sensations of Tone as a Physiological Basis for the Theory of Music, 2nd ed. Mineola, NY: Dover. {GB}

Hindemith, Paul. 1984/1937. The Craft of Music Composition: Theory. New York: Schott. (Book 1: GB; Book 2: GB}

Isacoff, Stuart. 2001. Temperament: How Music Became a Battleground for the Great Minds of Western Civilization. New York: Knopf Doubleday. {GB}

Jorgensen, Owen Henry. 1991. Tuning: Containing the Perfection of Eighteenth-Century Temperament, the Lost Art of Nineteenth-Century Temperament, and the Science of Equal Temperament, Complete with Instructions for Aural and Electronic Tuning. East Lansing, MI: Michigan State University Press. {GB}

Johnston, Ben. 2006. Maximum Clarity and Other Writings on Music. Urbana: University of Illinois Press. {GB; Full text: TCL}

Kite-Powell, Jeffery, ed. 2007. A Performer's Guide to Renaissance Music, 2nd ed. Indiana University Press. {GB; Full text: TCL}

Koff, Charles. 1975. Harmony from the Science of Acoustics. Studio City: CA: Koff Music Co. {GB}

Krumhansl, Carol. 1990. Cognitive Foundations of Musical Pitch. New York: Oxford University Press. {GB}

Levy, Ernst. 1985. A Theory of Harmony, edited by Siegmund Levarie. Albany, NY: SUNY Press. {GB}

Lindley, Mark and Ronald Turner-Smith. 1993. Mathematical Models of Musical Scales: A New Approach. Bonn: Verlag fuer systematisch Musikwissenschaft. {GB}

Loy, Gareth. 2006. Musimathics: The Mathematical Foundations of Music, Vol. 1-2. Cambridge, Mass: MIT Press. {Full text: Vol. 1 Musical Elements:: TCL; Vol. 2 Musical Signals: TCL}

Maneri, Joseph G. and Scott A. Van Duyne. 1995. Preliminary Studies in the Virtual Pitch Continuum. Cambridge, MA: Boston Microtonal Society. {GB}

Mathieu, W. A. Harmonic Experience: Tonal Harmony from Its Natural Origins to Its Modern Expression. Rochester, VT: Inner Traditions/Bear. {GB}

Narushima, Terumi. 2019. Microtonality and the Tuning Systems of Erv Wilson. New York: Routledge. {GB; Full text: TCL}

Partch, Harry. 1974/1949. Genesis of a Music, 2nd ed. New York: Da Capo Press. {GBd}

Pierce, John. 1992/1983. The Science of Musical Sound. New York: W. H. Freeman. {GBd}

Read, Gardner. 1990. 20th-Century Microtonal Notation. New York: Bloomsbury. {Bloomsbury}

Roederer, Juan. 2008/1973. The Physics and Psychophysics of Music: An Introduction, 4th ed. New York: Springer. {GB}

Rossing, Thomas, F. Richard Moore and Paul Wheeler. 2002. The Science of Sound, Third Edition. New York: Addison Wesley. {GB}

Sethares, William A. 2005/1998. Tuning, Timbre, Spectrum, Scale, 2nd ed. New York: Springer. {GB; Website}

Sulzer, David. 2021. Music, Math, and Mind: The Physics and Neuroscience of Music. New York: Columbia. {GB}

Tenney, James. 2015. From Scratch: Writings in Music Theory. Edited by Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter. Urbana, IL. University of Illinois Press. {GB; Full text: TCL; }

Tenney, James. 1988. A History of 'Consonance' and 'Dissonance'. New York: Excelsior Music Publishing Co. {GB}

Tymoczko, Dmitri. 2011. A Geometry of Music : Harmony and Counterpoint in the Extended Common Practice. New York: Oxford. {Full text: TCL}

Von Gunden, Heidi. 1986. The Music of Ben Johnston. Lanham, MD: Scarecrow Press. {GBd}

Wannamaker, Robert. 2021. The Music of James Tenney, Vol. 1: Context and Paradigms; Vol. 2: A Handbook to the Pieces. Urbana, IL: University of Illinois Press. {Vol. 1: GB; Vol. 2: GB}

White, William Braid. 1917. Modern Piano Tuning and Allied Arts. New York: E. L. Bill, 1917. {GB; 5/e: HathiTrust}

Wilkinson, Scott R. 1988. Tuning In: Microtonality in Electronic Music. Milwaukee, WI: Hal Leonard Books. {GB}

Updated: December 4, 2025

Reginald Bain | University of South Carolina | School of Music
https://reginaldbain.com/vc/musc726t/