This haunting piece is the "Gliding Dance of the Maidens," from the Polovtsian Dances by Alexander Borodin. The tune is also used for the song, "Stranger in Paradise from the musical Kismet (1953).
I woke up after having dreamed of listening to this piece the other day and decided it had to go in a Music Monday! I could even hear the double reed solo in my dream. (DH tells me it is English Horn).
As a child, my ballet teacher used this as the accompaniment to our "Swan Lake" dance.
Close your eyes and enjoy.