Robert Edward "Bob" Brookmeyer was an American jazz valve trombonist, pianist, arranger, and composer. Born in Kansas City, Missouri, Brookmeyer first gained widespread public attention as a member of Gerry Mulligan's quartet from 1954 to 1957. He later worked with Jimmy Giuffre, before rejoining Mulligan's Concert Jazz Band. He garnered 8 Grammy Award nominations during his lifetime.

Gerald Joseph Mulligan, also known as Jeru, was an American jazz saxophonist, clarinetist, composer and arranger. Though primarily known as one of the leading jazz baritone saxophonists—playing the instrument with a light and airy tone in the era of cool jazz—Mulligan was also a significant arranger working with Claude Thornhill, Miles Davis, Stan Kenton, and others. His piano-less quartet of the early 1950s with trumpeter Chet Baker is still regarded as one of the best cool jazz ensembles. Mulligan was also a skilled pianist and played several other reed instruments. Several of his compositions including "Walkin' Shoes" and "Five Brothers", have become standards.