Which of the following is a characteristically fast tempo?

Vivace is indeed recognized as a characteristically fast tempo. The term 'vivace' is an Italian word meaning lively or brisk, and it typically indicates a tempo range of about 168 to 177 beats per minute. This makes it faster than many other common tempo markings.

To provide context, the other options represent different tempos along the musical scale. Andante, which means 'at a walking pace,' typically suggests a moderate speed around 76 to 108 beats per minute, making it significantly slower than vivace. Largo indicates a very slow tempo, often around 40 to 60 beats per minute, which is quite far from being a fast tempo. Allegro means fast and lively, usually ranging from 120 to 168 beats per minute, so while it is certainly quick, it is not as fast as vivace. Thus, vivace stands out as the decidedly fast tempo among the choices presented.