Born in Danzig, Vogt studied with Georg Schumann and Otto Frickhoeffer at the Akademie der Künste in Berlin from 1929 to 1934.
Vogt composed two operas, Die Stadt hinter dem Strom after the novel of Hermann Kasack and Athenerkomödie (The Metropolitans) on a libretto by Christopher Middleton after a fragment of Menander.
[5][6][7] For his operas, Vogt collaborated with the librettists, Hermann Kasack (Die Stadt hinter dem Strom) and Christopher Middleton (The Metropolitans).
[8] Vogt's opera Athenerkomödie (The Metropolitans) was premiered at the Mannheim National Theatre in 1964, he revised it in 1967.
[6][9] Vogt composed secular vocal works inspired by poems of Hermann Kasack, Christopher Fry, W. H. Auden, T. S. Eliot, Gerard M. Hopkins, Aesop's Fables, poems of Christopher Middleton, Gertrud Kolmar, Horace, Eduard Mörike and Gottfried Benn.
He also published books, Neue Musik seit 1945 (New Music since 1945), ISBN 3-15-010203-0, and Johann Sebastian Bachs Kammermusik: Voraussetzungen, Analysen, Einzelwerke (Johann Sebastian Bach's chamber Music: background, analysis, works), Stuttgart 1981, ISBN 3-15-010298-7.