General Terms:
* Program music: This is the broadest term and refers to any music that is intended to evoke a specific story, scene, or idea.
* Narrative music: This term emphasizes the storytelling aspect of the music.
* Illustrative music: This term emphasizes the music's function as a visual accompaniment to a story or idea.
Specific Terms:
* Incidental music: Music written to accompany a play or theatrical performance.
* Film score: Music composed for a film, often with a strong narrative connection to the visuals.
* Opera: A theatrical work that combines music, singing, and acting to tell a story.
* Song cycle: A collection of songs united by a common theme or story.
* Symphonic poem: A single-movement orchestral work that aims to evoke a specific idea or story.
* Cantata: A vocal composition with instrumental accompaniment, often based on a religious or literary text.
* Oratorio: A large-scale musical work, similar to an opera but without acting or costumes.
Other terms:
* Descriptive music: Music that aims to depict a particular scene or object.
* Expressive music: Music that aims to convey a particular emotion or feeling.
The most appropriate term to use will depend on the specific nature of the music and its connection to the story, poem, or idea.