capriccio n 1: an instrumental composition that doesn't adhere to rules for any specific musical form and is played with improvisation
Capriccio \Ca*pric"cio\ (k[.a]*pr[=e]t"ch[-o]), n. [It. See {Caprice}.] 1. (Mus.) A piece in a free form, with frequent digressions from the theme; a fantasia; -- often called {caprice}. [1913 Webster] 2. A caprice; a freak; a fancy. --Shak. [1913 Webster]