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March 2010
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mathematics and music

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Kevin Jones investigates the links between music and mathematics, throwing in limericks, Fibonacci and Scott Joplin along the way. Plus is proud to present an extended version of his winning entry for the THES/OUP 1999 Science Writing Prize.

Tags: rhythm : Fibonacci number : recursion : self-similarity : mathematics and music


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Can the music of Mozart help your mathematics?

Tags: mathematics and music : Mozart


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Following on from his article 'The prime number lottery' in last issue of Plus, Marcus du Sautoy continues his exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis.

Tags: prime number : mathematics and music : hilbert problems : Riemann hypothesis : Riemann zeta function : logarithmic integral : harmonic : imaginary number


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Skot McDonald talks to Plus about how he uses mathematics to understand music, and how he managed to combine his passions for music and computing to create a successful career.

Tags: mathematics and music : harmonic series : frequency : Fourier analysis : digital Signal Processing


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As anyone starting out knows, the violin is a difficult instrument. It takes time before the novice player can expect to produce a musical note at the desired pitch, instead of a whistle, screech or graunch. Jim Woodhouse and Paul Galluzzo explain why.

Tags: mathematics and music : harmonic wave : helmholtz vibration : vibration modes


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According to Shakespeare, music is the food of love. But Jeffrey Rosenthal follows Galileo's observation that the entire universe is written in the language of mathematics - and that includes music.

Tags: mathematics and music : frequency : wave : pitch : octave : harmony : chord


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Teaching a machine to understand music is an incredibly difficult task, which uses all the mathematical power of digital signal processing. But teaching a machine to compose music is quite another matter, and the wonderful world of mathematical patterns proves to be a gold mine. Nick Collins talks to Plus about his artificial musician.

Tags: mathematics and music : signal processing : Fourier analysis


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How to interact with your music collection

Tags: mathematics and music : network : mathematics in the media


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The Sun is no longer singing solo and is now part of a stellar choir

Tags: helioseismology : mathematics and music : sound wave : standing wave : acoustic oscillation : harmonic wave : asteroseismology : acoustics : spherical harmonics


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Mathematicians and artists mingle in London

Tags: mathematics and music : mathematics and art : fractal : hyperbolic geometry


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Computer-generated art is on the rise, and with it comes a further blurring of the boundaries between maths and art. Lewis Dartnell looks at some stunning examples.

Tags: computer simulation : mathematics and music : mathematical modelling : mathematics and art : computer gaming : computer animation : computer graphics


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Survival modelling of albums in the Top 100 casts light on the impact of file sharing

Tags: mathematics and music : mathematical modelling


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In his second article, David Henwood explains the role of mathematics in the design of Hi-Fi loudspeakers.

Tags: mathematics and music : mathematical modelling : distortion : Nautilus loudspeaker : finite elements


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In the first of two articles, David Henwood discusses the vibrations that can be harnessed by musical instrument makers.

Tags: mathematics and music : oscillation : differential equation : frequency : mode : spring


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What does a mathematician from the 3rd century BC have to do with tuning musical instruments in 17th century Europe? Benjamin Wardhaugh tells us about one of the more unusual places you might find Euclid's algorithm being used.

Tags: mathematics and music : Euclid's algorithm


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As an electronic musician Oli Freke has always been fascinated by sine waves, so much so that he's created a song based on them for the Geekpop festival, which is currently taking place on the Web. In this article he explores his song, touching on ancient Greek mythology, strange piano tunings and Johann Sebastian Bach.

Tags: mathematics and music : sine wave