"Tenor Conclave" is a hard bop composition by Hank Mobley, written for a 1956 Prestige Records session that brought together four tenor saxophonists representing different corners of the jazz world. The tune is a contrafact based on "I Got Rhythm," using the familiar rhythm changes chord progression as its harmonic foundation while introducing a new melody designed for ensemble interplay. Mobley crafted the head to feature interwoven saxophone lines that create a conversational, polyphonic texture among the four tenors, with passages of unison playing and call-and-response figures that emphasize collective expression over individual display. The composition served as the title track for the album that paired Mobley with John Coltrane, Al Cohn, and Zoot Sims, backed by the Red Garland Trio of Red Garland on piano, Paul Chambers on bass, and Art Taylor on drums. This lineup bridged stylistic divides, joining Mobley's smooth hard bop sensibility, Coltrane's emerging intensity, Cohn's cool-school sophistication, and Sims' buoyant swing in a single blowing session. The tune remains a deep cut in the jazz repertoire rather than a widely performed standard, its significance resting largely on the historic all-star gathering it was created to showcase. Later reissues of the album sometimes featured Coltrane's name prominently, reflecting his subsequent rise to fame.