What term refers to a lively and animated manner in music?

The term that refers to a lively and animated manner in music is "Animato." This term specifically instructs musicians to perform the piece with a sense of energy and enthusiasm, enhancing the overall liveliness of the music. It is often used to convey a spirited interpretation that encourages a brisker tempo and an exciting character in the performance.

In contrast, "Con brio" also means with vigor or spirit, but it can imply a broader range of energy rather than strictly focusing on liveliness. "Cantabile" means in a singing style, emphasizing a smooth and lyrical approach rather than an animated one. "Con fuoco" translates to "with fire," suggesting a performance with passion and intensity but not necessarily with the same direct emphasis on liveliness that "Animato" provides. Each of these terms serves a distinct purpose in musical direction, but "Animato" is the most directly associated with the idea of lively and animated performance.