Final answer:
The music industry centralized in Harlem at the end of the 19th century, especially noted for the jazz scene at venues like the Savoy Ballroom and the Apollo Theater.
Step-by-step explanation:
The district in New York City where the music industry centralized at the end of the 19th century and into the early 20th century was Harlem. Harlem became a cultural center during the Harlem Renaissance, where many African-American artists, including jazz musicians, consolidated their talents and contributed significantly to the cultural landscape. Notably, Harlem's Savoy Ballroom and Apollo Theater were iconic venues that hosted major jazz figures like Louis Armstrong and Charlie Parker. The area was transformed into a melting pot of musical talent, partly due to the Great Migration, which saw African-Americans move to the city from the South. In contrast, classical music performances found their address at Carnegie Hall, built by Andrew Carnegie in 1891.