Final answer:
Two significant musical cultures that arose between 1930-1960 were jazz, which became popular during the Harlem Renaissance, and rock 'n' roll, which emerged in the 1950s as a symbol of youth rebellion and a challenger to racial barriers in music.
Step-by-step explanation:
The two musical cultures that arose from 1930-1960 were jazz and rock 'n' roll. Jazz, with roots in the late 19th and early 20th centuries, gained widespread popularity through figures like Duke Ellington and Cab Calloway, and played a significant role in the cultural movement known as the Harlem Renaissance. By the 1920s, jazz had spread beyond African American communities, reaching a broader audience and becoming a symbol of the modern era. During the 1950s, rock 'n' roll emerged as a new cultural phenomenon, marrying traditional rhythm and blues with the amplification power of electronics, and becoming an expression of teenage rebellion and a break from the adult world. This genre also challenged racial barriers by bringing together the music of African American origin with a predominantly white youth audience through artists like Elvis Presley, despite the resistance and controversy from some segments of society.