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: |
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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. |