- Allegro: This is a common Italian term that means "fast" or "lively". It is typically used for music with a moderately fast tempo, but can also be used to indicate a very fast tempo.
- Vivace: Vivace is an Italian term that means "lively" or "brisk". It is used for music with a fast and energetic tempo.
- Presto: Presto is an Italian term that means "very fast". It is used for music with a very rapid tempo.
- Allegrissimo: Allegrissimo is the superlative form of allegro, meaning "very, very fast". It is used for music with an extremely fast tempo.
- Con moto: Con moto is an Italian term that means "with motion" or "with movement". It is used for music with a moderate to fast tempo.
- Agitato: Agitato is an Italian term that means "agitated" or "excited". It is used for music with a fast and intense tempo.
- Animato: Animato is an Italian term that means "animated" or "spirited". It is used for music with a fast and energetic tempo.
- Briskly: Briskly is an English term that means "with quick, light steps". It is used for music with a fast and lively tempo.
- Quickly: Quickly is a general English term that means "at a fast pace". It can be used for music with a variety of fast tempos.
These are just a few of the many terms that can be used to indicate a quick tempo in musical notation. The choice of term will depend on the specific desired tempo and the overall character of the music.