Final answer:
New Orleans jazz bands developed from blues and ragtime but not from European classical music bands. This genre flourished during the Harlem Renaissance and spread to audiences through venues like the Cotton Club in New York.
Step-by-step explanation:
The New Orleans jazz band developed from a variety of band styles and musical traditions, but not from European classical music bands.
Jazz emerged as a distinct genre in the early 20th century, heavily influenced by the African American musical expressions such as the blues, ragtime, and other traditions. Evolving in the vibrant communities of cities like New Orleans and Chicago, jazz quickly gained popularity and became a key part of the cultural landscape during the Harlem Renaissance and beyond.
Notably, figures like W.C. Handy played important roles in documenting and spreading the genre's reach. Clubs such as the Cotton Club in New York were famous for featuring jazz performances, attracting both black and white audiences, albeit maintaining the racial barriers of the era.