Buck exposed a piano from the age of xii. He likewise mass produced numbers of early tries at orchestral composition, eventually achieving a breakthrough at the age of Xx using Penmanship for soprano and chamber orchestra. He late exposed within Aarhus, producing such works as Fioriture (1965) for flute and piano and Punctuations (1968) for orchestra. Buck's Summertrio (1968) for flute, guitar and cello indicated a newly counsel for Danish music, promptly dubbed a 'newly simplicity'.

More important pieces around Buck's output include a ballet Felix Luna (1970-71), Fairies (1972) for soprano and orchestra, Pastorals (1976) for orchestra, Microcosm (1992) for string quartet, Lakes & Mountains (1994) for orchestra, and Flower Ornament Music (2002) for chamber group.