"Heaven!", for voice and piano, was written in 1954 for performance in "Just as it Comes" at Trinity College, Cambridge. The lyrics are by Simon Phipps (Chaplain at Trinity College 1953-57 and Bishop of Lincoln between 1974 and 1987).

Peter Tranchell composed this 1958 Sonata for Organ (his second) for, and partly based on the name of, Peter Le Huray, a fellow lecturer in the Music Faculty of Cambridge University, and Director of Music at St Catharine’s College.

Peter Tranchell set this famous text (from Edward Fitzgerald’s version of Rubáiyát of Omar Khayyám of Naishápúr) to music in May 1978, shortly before the death of Geoffrey Thornton, the Caius Chapel organ scholar who succumbed to melanoma. Peter knew it was inevitable and although there's nothing on the score it was conceived very much as an In Memoriam.

Peter Tranchell composed the Five Thackeray Ditties for the Cambridge University Madrigal Society’s May Week Concert in June 1962, which was conducted by Raymond Leppard. The concert traditionally took place on the Backs with the choir in punts on the Cam while the audience sat on the riverbank.