Ludvig Schytte (April 28, 1848 – November 10, 1909) was a Danish composer, pianist, and teacher.
Born in Aarhus, Denmark, Schytte studied with Niels Gade and Edmund Neupert. In 1884, he travelled to Germany to study with Franz Liszt. Schytte lived and taught in Vienna between 1886 and 1907 and spent the last two years of his life teaching in Berlin.
Originally trained as a pharmacist, Schytte composed a Piano Concerto in C-sharp minor, Op. 28, and a Sonata in B-flat, among numerous other piano works. He also wrote two operas: Hero (September 25, 1898 Copenhagen) and Der Mameluk (December 22, 1903 Vienna). His shorter works are still used today as educational studies for piano students.