174
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Tuning with Triangles

Pages 367-373 | Published online: 28 Nov 2017

References

  • John Backus, The Acoustical Foundations of Music, Norton, 1969.
  • J. M. Barbour, Tuning and Temperament, Michigan State College Press, 1953.
  • J. M. Barbour, A geometrical approximation to the roots of numbers, Amer. Math. Monthly 64 (1957) 1–9.
  • J. M. Barbour, On the location of the frets on a guitar, Amer. Math. Monthly 83 (1976) 550–552.
  • Edward Dunne and Mark McConnell, Pianos and continued fractions, Math. Mag. 72 (1999) 104–115.
  • Isaac J. Schoenberg, Mathematical Time Exposures, MAA, 1982.
  • Ian Stewart Les mathematiques de la gamme musicale, Pour la Science 151 (May 1990) 108–114.
  • Ian Stewart, Another Fine Math You've Got Me Into…, Freeman, 1992.
  • Ian Stewart Faggot's fretful fiasco, Music and Mathematics, John Fauvel, Raymond Flood, and Robin Wilson, eds., Oxford Univ. Press, 2003.
  • Charles Taylor The science of musical sound, Music and Mathematics, John Fauvel, Raymond Flood, and Robin Wilson, eds., Oxford University Press, 2003.
  • Habib Hassan Touma, The Music of the Arabs, Amadeus Press, 2003.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.