What term would you use to describe a tempo that is more than moderate but less than fast?

The term that describes a tempo that is more than moderate but less than fast is "Moderato." This term specifically denotes a moderate pace in music that serves as a balanced tempo point in between slower and faster tempos.

In musical terminology, "moderato" generally refers to a speed that allows for expressiveness without rushing, making it ideal for a variety of musical styles. It's often used as a standard or reference point, making it a common choice in compositions.

In contrast, adagio refers to a slow tempo, while larghetto indicates a slightly faster tempo than adagio but still not as quick as moderato. Presto, on the other hand, signifies a very fast tempo, which is much quicker than moderato. Thus, moderato accurately captures the tempo range specified in the question, situating itself firmly between adagio and faster tempos like presto.