I thought the music here was richer and better than in A:TLA. It's by the same composer, but it has a lusher, more cinematic flavor, maybe because this show skews to an older demographic. The jazzy bits were just one of the flavors we heard, and there were a lot of really striking and beautiful cues. I'd love to have a soundtrack album of the first two episodes.
The creators have described it as Asiatic Jazz.