BadBadNotGood are a Toronto-based trio that approaches jazz improvisation with the swagger of hip-hop impresarios. Or, they approach hip-hop with the progressive virtuosity of improvisational jazz players. We’re not sure which. And we kinda don’t care. The band’s brash fusion of those genres — not to mention postrock, electronica and whatever else they happen to flirt with — makes for some seriously provocative yet danceable music. The band simply occupies its own heady sonic spectrum. Touring in advance of their forthcoming third album, appropriately titled III, BBNG play Signal Kitchen in Burlington on Thursday, April 17, with Principal Dean and A.O. River.