Euterpe the "Giver of Pleasure" is the muse of music and is represented with a flute.
                It has been said she is the inventor of the double flute. By the river Strymon, she bore
                Rhesus who was slain at Troy.

 
Euterpe
   painted by Camiile Roqueplan

 Euterpe glanced her fingers o'er her lute,
       And lightly waked it to a cheerful strain,
       Then laid it by, and took the mellow flute,
      Whose softly flowing warble filled the plain:
       It was a lay that roused the drooping soul,
      And bade the tear of sorrow cease to flow;
    From shady woods the Nymphs enchanted stole,
      While laughing Cupids bent the silver bow,
   Fluttering like fays that flit in Luna's softened glow.
       from An Ode To Music, by James G. Percival