Fractal Music

By utilizing the lack of distinction between that which comprises rhythm and tonality, a composition can remain in the same in tempo and pitch whether the tempo or pitch is halved or doubled.

There is a pyramid in the Yucatan with tuned steps. If you clap in front of it, you hear a note, as all the echoes of your clap return to you at slightly different times. Suppose there were three sets of steps. One with double and one with half the number of steps. The one with half the number of steps would return your clap as a rapid succession of claps with no intelligible note. The one with double the number of steps would return a note an octave higher than the original. You would hear all three at once. Now if you recorded this, you could listen to it at half the speed, the slow clap would be slower, an the high octave would be gone, but you would still be hearing the equivalent of the original staircase and the halved one. Thus, the "song" will have remained mostly unchanged despite the recording being played back at half the speed. The same would be true if you doubled the playback speed.

The point is not the idle curiosity of being able to play it back at different speeds and hear the same thing, but rather, to harmonize rhythm and tonality with regard to one another.