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Why Numbers are Music to Our Ears (Update)

43 snips
Jan 11, 2025
Sarah Hart, Professor emerita of mathematics at the University of London, intertwines mathematics with music and literature in a fascinating discussion. She explores how mathematical structures influence musical compositions, enhancing our auditory experiences. Hart also delves into the patterns and rhythms that connect numbers with narratives, highlighting Lewis Carroll's playful use of logic and the creative potential within mathematical constraints. Listeners are invited to appreciate the beauty found in the harmony of math, music, and storytelling.
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INSIGHT

Octave Harmony

  • Notes an octave apart have a simple mathematical ratio of frequencies (2:1).
  • This ratio explains why they sound harmonious when played together, a phenomenon Pythagoras observed.
INSIGHT

Twelve-Tone Scale Origin

  • The 12-semitone division of an octave in Western music stems from the relationship between octaves and perfect fifths.
  • Twelve perfect fifths approximate seven octaves, creating the 12-note scale.
INSIGHT

Approximating Octaves and Fifths

  • A perfect mathematical relationship between fifths and octaves is impossible because fifths involve the number three while octaves involve doubling.
  • The 12-tone division is a good approximation, bridging mathematical harmony and musical practice.
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