Fortunare Nos was composed in 1986 for the wedding of one of Tranchell's students. It incorporates the hymn tune Wish Road originally written for Eastbourne College in 1950. The words are from a hymn by Henry J. Buckoll (1803-71) in Psalms and Hymns for Rugby School Chapel, 1850, and the Latin verse is a translation, presumably by Tranchell, of Verse 1.

The full anthem Cantantibus organis for St Cecilia’s Day was written by Peter Tranchell in 1987 for use by the choir of Gonville and Caius College, Cambridge, where he was Precentor (Director of Music), and it was sung at Evensong (presumably on St Cecilia’s Day, 22 November) that year. It was written for S.A.T.T.B. and Organ.

People, look East was composed in 1982 for the Gonville and Caius Choir and originally scored for AATBrBB (though with a note on the cover saying 'If necessary, the first alto part may be sung by sopranos'). The version performed by St. John's College Choir in the 2015 Advent Carol Service was arranged for SATB by Peter Marchbank in 2013.