There are at least four bands named Complex: a British psychedelic rock group, a Japanese rock supergroup, a Tanzanian band, and a Finnish punk band. 1) A psychedelic rock band from the UK. Their two albums are among the most sought-after artefacts of British psychedelia. Only 99 copies of each album were pressed. Despite the fact the debut album was recorded in November 1970 it sounds like it's straight out of the Summer of love. Basically we're talking echo-laden organ-driven garage psychedelia which is marred only by poor sound quality.