2,500 years of musical temperaments
A dialogue between human beings and nature
José Rodríguez Alvira
Bibliography
- Alton Everest, F. & Pohlmann, Ken. (2009). Master Handbook of Acoustics. McGraw Hill.
- Benade, A. H. (1976). Fundamentals of Musical Acoustics. New York: Dover Publications.
- Benson, D. J. (2007). Music: A Mathematical Offering. New York: Cambridge University Press.
- Fauvel, J. & Flood, R. & Wilson, R. (2006). Music and Mathematics: From Pythagoras to Fractals. Oxford University Press.
- Forster, Cris. (2010). Musical Mathematics. San Francisco: Chronicles Books LLC.
- Gareth, L. (2007) Musimathics: The Mathematical Foundations of Music. MIT Press.
- Harkleroad, L. (2006) The Math Behind the Music (Outlooks). Cambridge University Press.
- Hopwood Jeans, Sir James (1937). Science & Music. Courier Dover Publications.
- Isacoff, S. (2001) Temperament: The Idea that Solved Music's Greatest Riddle. Alfred A. Knopf.
- James, Jamie. (1995). The Music of the Spheres. New York: Copernicus
- Jeans, Sir James. (1968). Science & Music. New York: Dover Publications.
Links
- Asselin, Pierre-Yves. Musique & tempéraments
- Benson, Dave. Music: A Mathematical Offering
- Dent, Thomas. Temperament ordinaire
- Forster, Cris. Just Intonation (Bartolomeo Ramis)
- Harrison, D. A Brief Introduction to the Physics of Music
- Indiana University - Piano Technology - Tuning
- Neuwirth, Erich. Examples of Historical Musical Tunings
- Rameau. Du Temperament
- Russell, D. Acoustics and Vibration Animations
- Schulter M. Pythagorean Tuning and Medieval Polyphony
Wikipedia
Credits
- Music notation examples created using Sibelius 7.5, images edited with Adobe Fireworks.
- Sound recording of Bach Prelude created using Aria Player and Garritan Personal Orchestra sounds, played by Sibelius 7.5, video created using Adobe Flash.
- Piano C2 courtesy of Electronic Music Studios, Iowa State University.
- C2 spectrum analysis created with Adobe Audition, animation using Adobe Edge Animate.
- Most audio editions were done with Audacity.
- Chart comparing temperaments created with Excel.
- Some images courtesy of Wikimedia Commons.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Published by teoria.com.
