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He was sub-organist of Westminster Abbey from 1962-7, and organist of Christ Church, Oxford from 1970 before returning to Westminster as Organist and Master of the Choristers in 1981. He relinquished his Westminster post in 1987, and has since led an international concert career, and has also composed works for the organ, the best-known of which is probably his Alleluyas, written in the style of Olivier Messiaen.
In 1965, for Edington Music Festival, he commissioned Psalm 119 verses 73-104 and in 1966 a set of 5 proper Anthems. In 1967, Preston wrote a setting of a Missa Brevis (Short Communion Mass) for Edington Music Festival. Also in 1968, he wrote a Magnificat and a Nunc Dimittis for the same festival.
His many recordings include the complete organ works of J. S. Bach and the Saint-Saëns Organ Symphony, with James Levine conducting the Berlin Philharmonic Orchestra, both for Deutsche Grammophon, He has played harpsichord (particularly earlier in his career), including on a recording of the Concert Champêtre, as well as organ. He has recorded Handel's complete organ concertos twice: with Yehudi Menuhin conducting the Bath Festival Orchestra and then later on "historical instruments" with Trevor Pinnock directing The English Concert.
- "No. 59090". The London Gazette (Supplement). 13 June 2009. p. 8.