The Collaborative International Dictionary of English v.0.48:

Rhapsody \Rhap"so*dy\, n.; pl. Rhapsodies. [F. rhapsodie, L.
   rhapsodia, Gr. "rapsw,di`a, fr. "rapsw,do`s a rhapsodist;
   "ra`ptein to sew, stitch together, unite + 'w,dh` a song. See
   Ode.]
   1. A recitation or song of a rhapsodist; a portion of an epic
      poem adapted for recitation, or usually recited, at one
      time; hence, a division of the Iliad or the Odyssey; --
      called also a book.
      [1913 Webster]

   2. A disconnected series of sentences or statements composed
      under excitement, and without dependence or natural
      connection; rambling composition. "A rhapsody of words."
      --Shak. "A rhapsody of tales." --Locke.
      [1913 Webster]

   3. (Mus.) A composition irregular in form, like an
      improvisation; as, Liszt's "Hungarian Rhapsodies."
      [1913 Webster] Rhatany

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "rhapsody":
   classic, classical music, concert music, concertino, concerto,
   concerto grosso, drool, fustian, heaven, highfalutin,
   lexiphanicism, longhair music, rant, rapture, rave, rhapsodize,
   rhetoric, rodomontade, semiclassical music, seventh heaven,
   sinfonietta, symphonia, symphonic music, symphonic ode, symphony,
   tone poem, transport