Music History (02:36)
Dan Rockmore notes that ancient Greeks believed the best music was mathematically based. Waves are the connection between math and music.
Vibrating Molecules (03:47)
Sinusoids are determined by amplitude and frequency. Learn about the different sounds strings make.
Heat Equation (02:39)
In the 18th Century, Jean-Baptiste Joseph Fourier discovers the combination and separation of waves. Math and music is changed forever. Learn about his wave formation discovery.
Infinite Numbers (04:29)
Rockmore interviews mathematics professor Liz Stanhope to learn about Fourier analysis. Stanhope explains how two waves can be added together.
Fourier Analysis in Action (04:36)
Check out Moog Music, where synthesizers are built. Listen to design engineer, Cyril Lance describe the use of square waves in electronic music.
Spectral Analysis (04:56)
Back in the studio, Rockmore and Stanhope continue to discuss Fourier analysis. They discuss the harmonics of a violin.
Song of the Universe (03:02)
In the mid-1960s, Robert Wilson and Arno Penzias discover that no matter where in the sky a radio antenna is pointed, the same, steady microwave signal is received. It is concluded that this static sound is the spectral remnants of the big bang.
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