fractal scales, equal temperament

Why couldn't a fractal scale be equal tempered? Since music exists only in
time, couldn't a musical fragment in an equal temperament be developed over
time in a way that is fractal. I suppose this would not be considered a
scale. Perhaps the difference is in the development of the musical idea
through time. You could have a fragment from a fractal scale that does not
develop as a fractal, and one from an equal tempered scale that does. An
important component of this would be memory and the ability to perceive
musical relationships through time. The scale is merely theory as opposed to
the actual music being heard. What about Indian ragas? Can we compare ragas
to fractals?

Nangaku wrote,

>The scale is merely theory as opposed to
>the actual music being heard

No, the scale is the set of pitches in the music being heard. Certainly, the
music can be fractal even if the scale isn't, as you say:

>You could have a fragment from a fractal scale that does not
>develop as a fractal, and one from an equal tempered scale that does. An
>important component of this would be memory and the ability to perceive
>musical relationships through time

but that doesn't make the equal tempered scale a fractal scale.