The Collaborative International Dictionary of English v.0.48:

Intermede \In"ter*mede\, n. [F. interm[`e]de, fr. L. inter
   between + medius, adj., middle; cf. It. intermedio. Cf.
   Intermezzo.]
   A short musical dramatic piece, of a light and pleasing,
   sometimes a burlesque, character; an interlude introduced
   between the acts of a play or an opera.
   [1913 Webster]