Final answer:
The title of the musical is 'Thoroughly Modern Millie.' It reflects the Jazz Age's vibrant culture and music, which are central themes in the show.
Step-by-step explanation:
The complete title of the musical mentioned is Thoroughly Modern Millie. This musical opened on Broadway in 2002 and is a representation of the Jazz Age, a time characterized by new dances, music, and a lifestyle epitomized by flappers, sheiks, and jazz music itself. Jazz, which originated from the African American community, combined different musical traditions such as blues and ragtime and rose to prominence in the 1920s. Cultural elements like petting parties, depictions of romance in movies, and slang unique to the era colored the societal canvas of the time, all of which are captured in the spirit of the musical Thoroughly Modern Millie.