1/f Aspects of Music

Most musical instruments have natural sounds.
Even if we are not familiar with the particular composition, a tape of violin music played at the wrong speed will not sound like violin music.
The character of the violin music has a natural time scale.
On the other hand, there are kinds of music that sound pretty much the same regardless of the speed at which the tape is played (within limits, of course, if we play the tape so fast that only dogs can hear it, then the character of the sound has changed).
These are called scaling noises.
Scaling noises fall into three rough categories:
White noise Brownian noise 1/f noise
We present two examples of this type of analysis of music, one by Voss and Clarke and one by Andrew and Kenneth Hsu, and an example of structual scaling in music by Brothers.
So we see there are still more ways in which music exhibits fractal properties - here through the presence of power laws.