What term describes a humorous imitation of a piece of literature or music?

The correct term for a humorous imitation of a piece of literature or music is a parody. A parody typically exaggerates or distorts the original work's style, themes, or ideas to create a comedic effect. This form of imitation often highlights the quirks or flaws of the original through humor, allowing audiences to enjoy both the original piece and the parody simultaneously.

While satire might also include humor, its primary focus is on critiquing or commenting on societal issues, rather than just imitating for comedic effect. Sarcasm, on the other hand, refers to a sharp or cutting remark often used in spoken language, which doesn't necessarily involve the imitation of a creative work. Homage, in contrast, is a respectful acknowledgment of another work or artist, celebrating their contributions rather than mocking or humorously reinterpreting them. Thus, parody stands out as the most fitting term for humorous imitation.