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Explore the mathematical foundations underlying music and sound in this distinguished lecture that examines how mathematics explains musical phenomena and acoustic properties. Discover why instruments produce their characteristic sounds, what makes certain frequencies harmonious or dissonant, and how strings and objects vibrate and resonate. Learn about the mathematical principles behind how our ears and brains process sound, how sound waves propagate through architectural spaces, and why the musical interval called a perfect fifth cannot be truly "perfect" and its implications for musical tuning. Investigate acoustic phenomena such as why clapping in a racquetball court produces a "chirp" sound. Experience live demonstrations with instruments and sounds, along with real-time sound analysis using spectrograms for time-frequency analysis. The presentation requires no musical training and uses accessible mathematics involving ratios, simple graphs, and trigonometry, while providing pathways to more advanced mathematical areas for interested learners.
