Which term signifies a tempo that is cheerful and quick?

The term that signifies a tempo that is cheerful and quick is "Allegro." In musical terminology, “Allegro” is commonly used to indicate a lively and brisk tempo, generally ranging from about 120 to 168 beats per minute. The word itself is derived from Italian, meaning 'happy' or 'joyful,' which emphasizes the cheerful character associated with this tempo.

In contrast, the other terms represent different aspects of tempo or expression. "Allegretto" refers to a moderately fast tempo but is typically slower than "Allegro." "Andante" describes a walking pace, generally slower and more relaxed, while "Appassionato" indicates a passionate and expressive style, not specifically tied to a fast tempo. Understanding these distinctions helps to appreciate the mood and energy conveyed in various musical passages.