What is the term used to describe a tempo that is quick and lively?

The term "vivace" is widely recognized for describing a tempo that is quick and lively. In musical terminology, vivace suggests a spirited and energetic pace, often faster than allegro, which is also a term indicating a quick tempo but not necessarily as lively. Vivace sets the mood for a more vigorous performance, making it suitable for lively pieces.

While allegro does represent a cheerful and fast tempo, it is generally categorized as a moderate speed within the lively spectrum of tempos. Presto, on the other hand, indicates an extremely fast tempo, which, while it might also be lively, is not typically described as just lively in the same context as vivace. Andante suggests a moderate walking pace, which is the opposite of being quick and lively. Therefore, vivace best captures the essence of a quick and lively tempo.