The early 1970s version of Captain Beefheart's Magic Band had a dedicated bassist, Roy Estrada (named Orejon by Captain Beefheart, i.e. Don Van Vliet) and also an occasional second bassist Mark Boston (named Rockette Morton - who also played guitar and was sometimes credited as 'rhythm bass'). The rest of the band were Art Tripp III, (Ed Marimba - drums), Eliot Ingber (Winged Eel Fingerling - guitar), and Bill Harkleroad (Zoot Horn Rollo - guitar). Plus the Captain himself, of course.
There's sometimes two basses here. It may not be to everyone's taste: