If that question is really a question, it has been decisively answered by Matana Roberts. Roberts is a sax player based in New York. She is a member of the Association for the Advancement of Creative Musicians, which sounds like a good thing to be a member of. I have been listening to her recording The Chicago Project all day, over and over. It is astoundingly good.
The album weaves all the elements of traditional jazz into its tapestry but the larger image is unexpected and very gratifying. The music is challenging enough, without ever losing the song. I love this album! Here is some information for you.
The Chicago Project is Matana's homage to her home town and features compositions and conceptual material composed by Matana and interpreted by close friends and supporters of her Chicago development in the form of bassist Josh Abrams (of Town and Country, Prefuse 73 and more), guitarist Jeff Parker (of Tortoise, Chicago Underground Trio and more) and drummer Frank Rosaly. The album was produced and engineered respectively by pianist Vijay Iyer and Tortoise’s John McEntire, and features a very special guest saxophonist in the form of Fred Anderson, who is one of the founding members of the Association for the Advancement of Creative Musicians (AACM).
I've posted a couple of cuts on my Live365 station. It is available on eMusic. Get the darn thing.