Prof Frederick William Rimmer FRSE FRCO FRSAMD CBE (21 February 1914 – 3 July 1998) was a 20th-century British musician who served as the Gardiner Professor of Music at Glasgow University from 1966 to 1980 and for the same time period was Director of Scottish Opera. He also founded the Scottish Music Archive. Friends and colleagues generally knew him as Fred Rimmer.