All music based on western harmony is about dissonance. Or more to the point, the movement of dissonance to consonance, tension to resolution. I once had an excellent lesson that explained it to me. Movement around the Circle of Fifths is a measure of increasing tension - each step becoming increasingly dissonant, until you hit the halfway point (the tritone) and start resolving back toward consonance.
So even a simple fifth is "dissonant". It creates tension and demands resolution. It's not perceived as "dissonant" because it is "normal". It's only when you push out of the listener's comfort zones that it becomes weird and wrong. In other words, the perception of dissonance isn't musical, it's cultural.
Jazz music pushes harmonic dissonance a lot farther than "classical" does, so jazz listeners are much more accustomed to it. It doesn't sound wrong to hear tritones, or minor seconds, or diminished and altered triads, or stacked fourths. Dissonance is welcomed and encouraged. Even resolutions are often decorated with dissonance.