Jazz: Red Hot and Cool is a jazz live album by The Dave Brubeck Quartet. It was recorded during one 1954 and two 1955 performances at the Basin Street East club in New York City. Released originally in 1955, this album was remastered and reissued in 2001, while adding two tracks that were not included in the original album.

This album presents the pre-classic Quartet with Bob Bates on bass and Joe Dodge on drums backing pianist Dave Brubeck and alto saxophonist Paul Desmond, before the bassist Eugene Wright and drummer Joe Morello joined the most experimental Brubeck Quartet of the sixties.

As a result, on the strength of complex chords of Brubeck and the remarkably cool tone of Desmond, relaxing and calming, Bates and Dodge focus on giving a swinging, but solid and quiet accompaniment to the quartet, without disrupting the discursive flow of ideas between the pianist and the altoist.

This Columbia Records release, recorded in the intimate set of a night club, is notable for introducing Brubeck's composition The Duke, a tribute to the magisterial Duke Ellington which was destined to become a jazz standard in the years to come, due to its cerebral and intricate harmonic structure.

In addition, other highlights came from a book of standards that includes popular tunes composed by Irving Caesar, Mort Dixon, James F. Hanley, Lorenz Hart, Ballard MacDonald, Richard Rodgers, Vincent Youmans, Allie Wrubel, and the brothers Ira and George Gershwin. The two tracks that were included in the reissue are a traditional piece, composed by Vernon Duke, John La Touche and Ted Fetter, and another original created by Brubeck.

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