蜜芽传媒

Back up to: The Essay

1. Composing with Numbers

   4/4 Schoenberg's rectangles, Xenakis' cubes, Messiaen's Mongean shuffle and the music in maths
2. Theme and Variations

   3/4 Exposing the symmetry in Bach's Goldberg Variations and the maths behind bell-ringing.
3. The Music of the Spheres

   2/4 Pythagoras' theories about the harmonious world, and why many cultures use a 12-note scale
4. Counter-culture

   1/4 The rhythmic complexities in Steve Reich, Ghanaian Ewe music and a 1000-year-long piece.