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Mathematics and Music Boxes

Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 18)

Abstract

Music boxes which play a paper tape are fantastic tools for visually demonstrating some of the mathematical concepts in musical structure. The literal written notes in a piece can be transformed physically through reflections and rotations, and then easily played on the music box. Principles of topology can be demonstrated by playing loops and Möbius strips. Written music can also be transformed into different types of canons by sending it through multiple music boxes.

Keywords

Paper Tape Music Theory Musical Structure Horizontal Translation Tactile Experience 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Kikkerland “DIY Mechanical Music Box Set:” http://www.kikkerlandshop.com/toys-games-musicboxes.html
  2. 2.
    Hodges, W.: The geometry of music. Music and Mathematics: From Pythagoras to Fractals, pp. 91–111. Oxford University Press, London (2003)Google Scholar
  3. 3.
    Ranjit Bhatnagar’s Möbius music box photo: http://www.flickr.com/photos/ranjit/3314000751/
  4. 4.
    Tremblay, R.: Inversus: Sankyo 20-Note Moebius Strip Plays Inverse Music, Mechanical Music Digest (2003). http://www.mmdigest.com/Sounds/Sankyo20/tremblay.html
  5. 5.
    Hart, V.: Symmetry and transformations in the musical plane. In: Proceedings of the 12th Annual BRIDGES Conference: Mathematics, Music, Art, Architecture, Culture (BRIDGES 2009), Banff, Canada (2009)Google Scholar
  6. 6.
    Hart, V.: Music Boxes: http://vihart.com/musicbox/

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.7 Circle Dr.FarmingdaleUSA

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