Palmer was born in
Norfolk in 1946. He early showed interest in music, encouraged by his father, a
RAF pilot, who had trained as a church organist. He was educated at
Norwich School and studied the organ at
Saxlingham, then went on to
Trinity College, Cambridge, where he qualified in modern languages and music. His teachers at Cambridge included Peter le Huray and Sir
David Willcocks. His first involvement in film music was as a writer, through which he met many film composers in the United Kingdom and United States. He struck up a friendship with
Bernard Herrmann, who was living in London at the time. He assisted Herrmann with his scoring for
Taxi Driver and
Obsession (both released in 1976; Herrmann died in December 1975, just after completing the score to
Taxi Driver). Through Herrmann, Palmer had met
Charles Gerhardt, with whom he collaborated on at least 15 albums.
Miklós Rózsa was impressed by Palmer's critiques of his work and invited him to assist with the orchestration of his score for
Providence (1977) and all his subsequent films. He then met
Elmer Bernstein, who used Palmer's assistance in scoring
Heavy Metal (1981). This led to further orchestration work with film composers such as
Maurice Jarre (
A Passage to India (1984),
Mad Max Beyond Thunderdome (1985), and
Stanley Myers (
The Witches (1990). ==Arrangements and orchestrations==