Final answer:
The correct statement is that the tempo of a piece can significantly influence its mood and character, which is option D. A slow tempo can evoke solemnity or sadness, while a fast tempo often signifies energy or excitement, directly impacting the emotional response of the audience.
Step-by-step explanation:
The correct statement about the relationship between tempo and the mood and character of a piece of music is that the tempo can significantly influence its mood and character. Unlike what is suggested in the other options, a slow tempo does not typically convey urgency and excitement; rather, it can project a sense of introspection, solemnity, or sadness. Similarly, a fast tempo does not generally create a calm and soothing mood but is often associated with feelings of energy, joy, or tension.
For instance, in a cinematic context, a scene featuring slow, mournful music played in a minor key can evoke a sense of sorrow or dread, signaling that the character is possibly in danger. On the contrary, music that swells up with high, bright notes and a lively tempo can suggest a joyous or exuberant situation. Therefore, a director's choice of tempo, alongside other musical elements, is integral in shaping the emotional response and interpretations of the audience.