I have mentioned the new TBP album here before, and the review linked below is a pretty good take on it. I really like the term “art rock song.”
Pazz and Jop with The Bad Plus | Indie Music Blog:
“I have almost always enjoyed their fusions of rock and jazz, not in the sense of 70s and 80-s era ‘jazz fusion,’ but a new hybrid that creates a type of ‘art rock song.’ The inclusion of an actual vocalist is a logical extension of these efforts.”