• J.S. Bach – Crab Canon on a Möbius Strip
  • Illustration of Nyquist’s theorem
  • Mathematical Music !!
  • Ruth Tatlow on Bach’s Numbers: Compositional Proportion and Significance (NOW IN PAPERBACK!)
  • Adding and Subtracting (song for kids about addition/subtracting)
  • Jim Parsons Can’t Remember Complex Math Equations
  • Bach, Ricercar a 6 (from The Musical Offering)
  • Lecture 13. Fugue: Bach, Bizet and Bernstein
  • 528Hz Release Inner Conflict & Struggle | Anti Anxiety Cleanse – Stop Overthinking, Worry & Stress
  • "From Regis Philbin to Wolfgang Amadeus Mozart: The Problem of Meaning in Music"
Amazon Price: £21.84 (as of March 20, 2018 1:11 pm – Details). Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on the Amazon site at the time of purchase will apply to the purchase of this product.

Also available on amazon.com for £21.84 (as of March 7, 2018 2:55 pm – Details). Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on the Amazon site at the time of purchase will apply to the purchase of this product.

Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.

Product Details

  • Format: Kindle Edition
  • File Size: 26475 KB
  • Print Length: 426 pages
  • Simultaneous Device Usage: Up to 4 simultaneous devices, per publisher limits
  • Publisher: Cambridge University Press; 1 edition (23 Nov. 2006)
  • Sold by:  Amazon Media EU S.à r.l.
  • Language: English
  • ASIN: B00BM4TG8U
  • Text-to-Speech: Enabled
  • X-Ray: Not Enabled
  • Word Wise: Not Enabled
  • Enhanced Typesetting: Enabled

Customer Reviews

Five Stars

 on 12 September 2017
By Joaquin Pérez Navarro
Very good book

excellent book, especially on tuning and temperaments with ratios/cents

 on 10 April 2016
By dennis jones
excellent book,especially on tuning and temperaments with ratios/cents.

Comprehensive and error free

15 people found this helpful.
 on 24 November 2007
By P. Morris
For many years, Dave Benson published early versions of this text online (you can still get an online version from his website) and that public exposure has pretty much worked all the errors out of the text. No doubt the feedback that Benson received has also helped improve the text in other ways. I have to say that I find it hard to find much wrong with this book. I use many sections for my teaching (I lecture in music at University) and always find the book full of inspirational ideas. If the maths is too tough in places, you can skip over it to the next general section with impunity.

Dave Benson – Polymath

4 people found this helpful.
 on 30 August 2010
By Petros EndUser
Ever since Dave Benson has stopped insisting on being referred to by his full double-barrelled surname and dropped the suffix his output has become far more easily understood by the general public. This book is a prime example of how he is able to go beyond the complex task of attempting to produce work which reaches both a mature and a preteen audience exclusively, yet was successfully repellent to anyone aged between these two groups. His early social experiments (once shown on UK television), into the effects of authoritative pressure or subversive encouragement on children, can be viewed as at least as influential and ethically ambiguous as the standardly quoted Milgram study, etc. ~ Particularly so, given the child subjects in question were selected on the basis of them holding existing grievances against the parent on whom they would be encouraged and told to exact humiliating and degrading punishments, without fear of reprisals. While it is not directly referenced here, this clinical trial and the underlying themes exposed (or exploited) by Dave still, by necessity, contribute to the rich tapestry of garishly-hued human background over which this text stands as omniscient controller; ready to unleash a nauseatingly bright wave of social comment and cultural gunge upon its chosen targets. All of which serves to colour the reader’s understanding of this work. This is a must-have, and it is something to which you will no doubt attach great sentimental worth. If you were my best and must trusted friend, and we both had an identical copy of this book, then, were I to leave your house one day with the wrong copy, I guarantee that you would do everything in your power to return my version to me, and get your own back.
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