Donald Matthew Redman (July 29, 1900 – November 30, 1964) was an American jazz musician, arranger, bandleader, and composer. Redman was born in Piedmont, Mineral County, West Virginia. His father was a music teacher, his mother was a singer. Don began playing the trumpet at the age of three, joined his first band at the age of six and by the age of 12 was proficient on all wind instruments ranging from trumpet to oboe as well as piano. He studied at Storer College in Harper’s Ferry and at the Boston Conservatory, then joined Billy Page’s Broadway Syncopaters in New York City. (He was the uncle of saxophonist Dewey Redman, and thus great-uncle of saxophonist Joshua Redman and trumpeter Carlos Redman.) In 1923, Redman joined the Fletcher Henderson orchestra, mostly playing clarinet and saxophones.

He began writing arrangements, and Redman did much to formulate the sound that was to become swing. A trademark of Redman’s arrangements was the band playing harmony under written solos.