> even beyond world music
sidenote: this is sort of part of the problem: a lot of the academic world has positioned one specialty of music as the default and everything else in the wide world of sport in to one "world music" bucket.
Also, there are absolutely schools of music theory that place other aspects of theory "above" pitch. For example, while Hip-Hop and EDM are based on western harmonic structures, I would argue that there is a much larger emphasis placed on rhythm and timbre, as the other comment mentioned. Many American Indian and African musical traditions (which may not have a "widely accepted academic tradition" but should not be viewed as less valid) place much less emphasis on a specific pitch at all, as opposed to the motion of pitch over time, and very percussion and rhythm forward.
If you're interested in theories around tonal shaping, look up electro-house and dubstep sound design tutorials. Dead serious, these guys do things that would never occur to us mere mortals because of the understanding of timbre and the tools they use. A personal favorite of mine is Virtual Riot. His "4 producers 1 sample" entry was truly mind bending: https://www.youtube.com/watch?v=zvKY_DnM1PA&t=7m43s