Fred Thelonious Baker (born 4 June 1960) is an English guitarist and jazz bass guitarist from Tibshelf, Derbyshire. He is known for playing in Phil Miller's Canterbury scene band In Cahoots.^[1]

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Baker played the guitar until his mid-teens, at which point he began to take an interest in the bass as well. He played in The John Etheridge/Ric Sanders Group in the early 1980s. He has also worked with his own group, the Fred Thelonious Baker Group who recorded a self-titled album in 1984.^[2] Baker has recorded several albums with Harry Beckett. They have also made a concert tour in Europe together. Baker accompanied Beckett's band on a Charles Mingus tribute tour in the UK. Other artists Baker has worked with include Horace Parlan, Vikki Clayton and Elton Dean.^[1]

Baker joined In Cahoots in April 1988, replacing their bassist Hugh Hopper.^[3] He has toured and recorded six albums with them, and remains a key member of the band. He also works as a teacher at Birmingham Conservatoire and The University of Huddersfield.^[1]

Baker is the current bassist for Soft Machine, having been chosen by his predecessor Roy Babbington.^[4]