If you're looking to add some variety to your writing, you may be in search of some synonyms for the phrase "compose music for." Thankfully, there are plenty of options available! Some alternatives to consider may include "write music for," "create music for," "produce music for," or "formulate music for." Additionally, you could opt for more specific phrases such as "craft a score for" or "develop a melody for." Whatever phrasing you choose, be sure it accurately conveys the notion of creating new music for a specific purpose or project.