The music is also an amalgam, taking in the influence of Jewish cantillation, traditional choral styles, gospel, mariachi, pop, blues and 12-tone music. (It shares its eclecticism with the 1971 “Mass” by Leonard Bernstein, who had collaborated with Brubeck on jazz-classical experiments.)

In 2001, the Milken Archive of Jewish Music, founded by the businessman Lowell Milken, recorded the work for Naxos. And the U.C.L.A. performances — on Sunday at Royce Hall on campus and on Tuesday at Holman United Methodist Church, a Black congregation in the city — will take place under the auspices of the school’s recently opened Lowell Milken Center for Music of American Jewish Experience.

Neal Stulberg will conduct a chorus consisting of the ensemble Tonality and members of Los Angeles church and synagogue choirs; a brass and percussion orchestra; and two vocal soloists. The keening tenor part will be sung by Azi Schwartz, a cantor at the Park Avenue Synagogue in New York; and Phillip Bullock will take the baritone part, influenced by traditional Black styles.

As the core jazz trio, which has improvising interludes, Chris Brubeck, on bass and trombone, will be joined by his brothers Darius, on piano, and Dan, on drums. (Another of Brubeck’s sons, Matthew, is a cellist; they had a sister, Catherine, who died last year, and a brother, Michael, who died in 2009.) Chris, Darius and Dan have played together often, but this is the first time they will collaborate on “The Gates of Justice” — and the first time they have been united since before the pandemic lockdown.

Dave Brubeck’s roots were in swing, but he had classical chops. In an interview, Darius said that his father had a shelf full of music theory books, and kept the scores of Bach and Shostakovich preludes and fugues next to his piano for reference. After World War II, Dave studied at Mills College in California with the jazz-loving French composer Darius Milhaud, who had fled Europe during the war. Brubeck came to admire Milhaud so deeply that he named his first son after him.