A composition in art/design are multiple elements combined together for a purpose.
For music I think it is true.
"Musical composition, or simply composition, can refer to an original piece or work of music, either vocal or instrumental, the structure of a musical piece, or to the process of creating or writing a new piece of music. People who create new compositions are called composers."
The most controversial mural of Diego Rivera in which he reflected his communist ideologies is called Man at the Crossroads. The mural was destroyed because the image of Vladimir Lenin, a communist was included.