Although the aforementioned noises model many processes in several different disciplines, they are not of immediate interest to us because they do not produce musically pleasing sounds. It has equal power in octave frequency bands or any constant frequency interval on a logarithmic frequency scale. This gives it a general property of constant pitch, despite variation in the speed at which the music is played. Paradoxically, some fractal waveforms that exist sound lower in pitch when they are played faster, for example at a scaling factor of . Fractal music structure is not as new as one might think.
Many compositions exist, which contain fractal-like structure.
The king complimented Mozart on his heavenly music, but then proclaimed that it had too many notes. 12 Imagine going into a music store in the future and putting on new headphones that play an abstract of the music that you are interested in purchasing. At this point one might wonder if we are ruining something so beautiful by over simplifying it. On the contrary, perhaps the beauty lies in the nature of the composition. Perhaps the mind possesses such ability because fractals are an underlying principle of nature.