Final answer:
Jazz is the music genre that combines elements of African music with Western music, emerging in the early twentieth century and contributing to the Harlem Renaissance.
Step-by-step explanation:
The music genre that developed around the turn of the twentieth century and incorporates elements of African music along with Western popular and art music is jazz. Jazz emerged from African American communities, drawing from blues and ragtime, and became internationally renowned.
It was an integral part of the Harlem Renaissance, with the Cotton Club in New York City becoming a famous venue for jazz performances by artists like Duke Ellington and Cab Calloway. This genre's innovative sound features a blend of African rhythmic complexity and European harmonic structures.