Complex sentence: Armheim's first recorded for OKeh in 1928-1929, when he signed with Victor in 1929 and stayed through 1933, when he signed with Brunswick and recorded through 1937.
Split into simpler sentences: Armheim's first recorded for OKeh in 1928-1929, when he signed with Victor in 1929 and stayed through 1933. He signed with Brunswick and recorded through 1937.