In one of the venomous exchanges between the Scots pipe-major (Duncan Macrae) and the English RSM (Percy Herbert), the former advises the latter to go and watch his television set, adding that "Muffin the Mule (1946) is on at four o'clock". This refers to a famous British children's programme of the early 1950s, which was presented by Annette Mills - the sister of John Mills, who plays the colonel of the regiment in this film.
The name of the Highland regiment portrayed is never mentioned, although the screenwriter served in the Gordon Highlanders. However, the same regimental tartan (designed for this film) and bonnet badges were worn by the Highland regiment in Carry On... Up the Khyber (1968), and so the regiment in "Tunes of Glory" may well be the "3rd Foot & Mouth."
As a teenager, John Fraser had been a member of a pipe band at his school, and although he played the big drum in the band and not the bagpipes, he was familiar enough with the musical instrument to be able to mime the movements required for his role in the film.