Music

  • The cantor set seems a very widespread pattern in music, f.e. in the Cello Suite of J.S.Bach
Top: Cantor-Set, Bottom: Distribution of note durations in a 16-measure excerpt from a cello suite by Bach. (Copyright 2007, World Scientific)
The top of this drawing shows a Cantor comb, which depicts self-similar patterns repeating at different scales on different lines. The lower diagram depicts the distribution of note durations in a 16-measure excerpt from a cello suite by Bach. The two patterns are similar. [Reprinted with permission from ref. 3 (Copyright 2007, World Scientific).]

This is especially obvious in Psytrance music, where the cantor pattern repeats over scales ranging from milliseconds 16th notes up to several days long festivals.

  • zooming in on a waveform – you can hardly know what the size of the zoom window is, seconds, minutes, hours.

15:45

Music as decision tree