Source : Webster's Revised Unabridged Dictionary (1913)

Rhapsodic \Rhap*sod"ic\, Rhapsodic \Rhap*sod"ic\, a. [Gr.
   "rapsw,diko`s: cf. F. rhapsodique.]
   Of or pertaining to rhapsody; consisting of rhapsody; hence,
   confused; unconnected. -- {Rhap*sod"ic*al*ly}, adv.

Source : WordNet®

rhapsodically
     adv : in an ecstatic manner; "he reacted ecstatically to my plan
           to travel to Africa" [syn: {ecstatically}, {rapturously}]