- 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) Top: Cantor-Set, Bottom: Distribution of note durations in a 16-measure excerpt from a cello suite by Bach. (Copyright 2007, World Scientific)](https://i0.wp.com/www.fractal.institute/wp-content/uploads/2015/05/bach-cantor.jpg?resize=679%2C231&ssl=1)
![](http://fractal.institute/wp-content/uploads/2018/06/F1.large_-1024x347.jpg)
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.
- All major aspects of music, outstanding paper!
- another presentation including all examples in this list
- reverb/echos, guitar feedback
- music genres as tree structure
- fractal rhythms
- tiny fractal variations are what makes the difference between a good and a bad drummer
- Octaves, selfsimilar as Cantor Set
- 1/f noise
- Pleasant Music: Zipf’s Law and Interactive Evolution Systems
- music iteration of a basic idea, great example by “4chords”:
- 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