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Explore a keynote presentation from the FARM 2024 conference where Princeton University and Santa Fe Institute professor Dmitri Tymoczko introduces twenty-first century music-theoretical concepts. Journey through scales and macroharmony, voice-leading geometry, and the "quadruple hierarchy" - a recursive nesting of collections supporting similar operations across levels. Discover Arca, a new musical programming language, and learn how musicians have intuitively utilized complex mathematics in their craft. The presentation features live improvisations with real-time notation transmission via internet, demonstrating both spontaneity and coordination with performances by Lucia Ahn (piano), Maria Ahn (cello), Tae Hong Park (bass), and Cecilia Suhr (violin). This 73-minute ACM SIGPLAN-sponsored talk bridges music theory, mathematics, and programming in innovative ways.
