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There are several bands called Big fish:
Big fish is a band formed in Uppsala, Sweden in 1988. At the recording of the first demo "The Natural Powers" the clarinetist David Molin left the band and was replaced by Arvid Eriksson. Since then the set up has been: David Giese: Song and Machines, Tomas Gustavsson: Drums, Accordion and Claviatures, Andreas Iverhed: Bass and Song and Arvid Eriksson on Guitarr.
They where influenced by the Berlin and Hamburg Underground Scene with band such as Einstürzende Neubauten, KMFDM and Vladimir Estragon. So they started out with sampled, brutal rythms and metal-on-metal as drums and experimented with several genres such as Jazz, Punk, Rock and Swedish folk music.