I have an impression that classical music pieces are more "structured" than white noise and more "complicated" than the soundtracks of the Billboard Hot 100 songs.
So assuming we are comparing recordings of similar duration I would expect in terms of Kolmogorov complexity C(soundtrack of a Billboard Hot 100 song)<C(classical music piece)<C(white noise). Maybe for a meaningful comparison we should also control for the number of instruments used.
Has anyone analyzed music from this perspective?
P.S. I ask here because it seems more likely that a mathematician would be somewhat familiar with both Kolmogorov complexity and music than a musician.
Best Answer
See Music viewed by its entropy content: A novel window for comparative analysis by Febres - Jaffe and the references therein for the entropy based approach.