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.

Four versions of this quadruple chant are known. Three are found in the Cambridge University Library archive: 

Two (and possibly three) versions of this triple chant are found in the Cambridge University Library archive: 

Peter Tranchell wrote this setting of Psalm 23 (The Lord is my shepherd) in 1962 for unison voices and organ, revised it in 1970 for two-part male-voices and organ, and again in 1976 for ATBrB choir and organ. The score published here has been arranged for SATB by Peter Marchbank.

These settings were composed by Peter Tranchell, Precentor (Director of Music) at Gonville & Caius College, Cambridge, for use by the chapel choir in the regular round of evening services. Although written three years apart and for a slightly different disposition of voices, Tranchell clearly saw them as a ‘set’ since they were recorded together in 1981 for private release on the LP recording ‘Music from Caius’ in 1985.

The Carol Voluntary is a light-hearted piece with a serious side, melding eight different carols (at the last count) with unexpected results. It was first written for Tranchell's friend David Isitt (later The Reverend) in 1948, then revised in 1964.

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.