

The geometry of music
Jan 22, 2024
Dmitri Tymoczko, Professor of Music at Princeton University, explores the geometry and patterns in music and its history, including the influence of non-Western music on jazz and popular music. He analyzes the mathematical aspect of rap music and discusses the challenges faced in replacing traditional classical music in the early 1900s.
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Early Musical Shift to Guitar
- Dmitri Tymoczko switched from piano to electric guitar in junior high, which made him fall in love with music through improvisation.
- He designed his own college major focused on composition and theory with guidance from David Lewin.
Music Balances Math and Enjoyment
- Music balances mathematical complexity with human perceptual limits to maintain enjoyment.
- Periodically, music simplifies after reaching complexity limits, reflecting tension between logic and embodied experience.
Nested Musical Patterns Explained
- Music moves along multiple note collections or 'alphabets' simultaneously, creating nested patterns.
- These patterns, like transposing and shifting scales or chords, underlie a wide range of musical styles.