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The Development of the Equal Temperament Scale

Evolution or Radical Change?

Works Cited

 

Asimov, Isaac.  Understanding Physics: Motion, Sound, and Heat.  New York: Penguin Books USA Inc., 1969.

Austen, Ian. “WHAT'S NEXT; A Piano That Runs Hot and Cold to Keep Itself in Tune,” NY Times, January 2nd, 2003, http://tech2.nytimes.com/mem/technology/techreview.html?res=9800E1D8133FF931A35752C0A9659C8B63  (accessed September 2, 2005)

Barbour, J. Murry.  Tuning and Temperament – A Historical Survey.  East Lansing: Michigan State College Press, 1951.

Benson, Dave.  “Mathematics and Music,” University of Georgia, December 29, 2004, http://www.math.uga.edu/~djb/html/music.pdf (accessed: April 22, 2005)

Bettens, Olivier.  “RENAISSANCE "JUST INTONATION"-Attainable Standard or Utopian Dream?”, Medieval Arts & Music Foundation, http://www.medieval.org/emfaq/zarlino/article1.html. (accessed August 8, 2005)

Christensen, Thomas. The Cambridge History of Western Music Theory. New York: Cambridge University Press, 2002.

Forster, Cristiano M.L.  “Musical Mathematics: Chapter 11 section 2 – “China’s Ch’in”,” Chrysalis Foundation, http://www.chrysalis-foundation.org/China's_Ch'in.htm  (accessed: July 31, 2005)

Frazer, Peter. “The Development of Musical Tuning Systems,” Midicode, http://www.midicode.com/tunings/temperament.shtml#5.2. (accessed August 13, 2005)

Grout, Donald Jay.  A History of Western Music (3rd edition).  New York: W.W. Norton & Company, 1980.

Harbottle, Garmon.  “Brookhaven Lab Expert Helps Date Flute Thought to be Oldest Playable Musical Instrument,” Brookhaven National Laboratory, September 22, 1999, http://www.bnl.gov/bnlweb/pubaf/pr/1999/bnlpr092299.html (accessed: July 21, 2005)

Hellegouarch, Yves. “A Mathematical Interpretation of Expressive Intonation,” ARPAM, http://arpam.free.fr/hellegouarch.pdf  (accessed November 14, 2005)

 

Helmholtz, Hermann.  On the Sensations of Tone as a Physiological Basis for the Theory of Music (2nd English edition).  New York: Dover Publications, Inc., 1954.

Juzhong Zhang, Xinghua Xiao & Yun Kuen Lee. “The early development of music.Analysis of the Jiahu bone,” http://antiquity.ac.uk/Ant/078/0769/Ant0780769.pdf  (accessed July 22, 2005)

Katz, Victor.  A History of Mathematics – An Introduction (2nd edition).  Massachussetts: Addison-Wesley Longman, Inc., 1998.

Monzo & Reinhard.  Werckmeister Well-Temperaments,” Tonalsoft, http://www.tonalsoft.com/enc/w/werckmeister.aspx. (accessed August 15, 2005)

Olson, Harry F.  Music, Physics and Engineering (2nd edition).  New York: Dover Publications Inc., 1967.

Palisca, Claude.  “Dictionary of the Hisory of Ideas: Music and Science,” University of Virginia, May 1, 2003, http://etext.lib.virginia.edu/cgi-local/DHI/dhi.cgi?id=dv3-32. (accessed August 9, 2005)

Pont, Graham.  “Philosophy and Science of Music in Ancient Greece:The Predecessors of Pythagoras and their Contribution,”  Nexus Journal,  http://www.nexusjournal.com/Pont-v6n1.html (accessed July 31, 2005)

Saleh, Fathi.  “A La Decouverte de l’Ancienne Gamme Musicale Egyptienne,” EgyptSound, http://egyptsound.free.fr/fathi.htm. (accessed July 23, 2005)

Temple, Robert.  The Genius of China – 3000 Years of Science, Discovery, and Invention.  New York: Simon and Schuster, 1987

White, John D. Theories of Musical Texture in Western History.  New York: Garland Publishing Inc., 1995.

 

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Last modified: November 19, 2005