Back up to: The Essay
4/4 Schoenberg's rectangles, Xenakis' cubes, Messiaen's Mongean shuffle and the music in maths
3/4 Exposing the symmetry in Bach's Goldberg Variations and the maths behind bell-ringing.
2/4 Pythagoras' theories about the harmonious world, and why many cultures use a 12-note scale
1/4 The rhythmic complexities in Steve Reich, Ghanaian Ewe music and a 1000-year-long piece.