Final answer:
The name of the music building next to Presser Hall depends on the specific university or college campus, and without this information, it's not possible to provide the precise name.
Step-by-step explanation:
To answer the question regarding the name of the music building next to Presser Hall, it would be essential to know the specific university or college campus you are referring to, as many schools have a Presser Hall. Generally, Presser Hall is a commonly used name for music buildings at various educational institutions, named in honor of Theodore Presser, a music publisher and philanthropist. However, without the particular campus context, providing the name of the adjacent music building is not possible. To get an accurate answer, you could check the campus map of the institution in question or look up the music department's website for details on their facilities.