These songs were made to fit certain scenes and people from Shakespeare's play.
This is "a scurvy tune" sung by Stephano
Consider this Stephano's theme.
The song Ariel sings to wake Gonzalo, Alonzo and the rest of the crew up before Sebastian and Antonio get a way with there vile schemes!.
One of the mystical songs Ariel sings.
Full of bells and woodwinds, this song hints at the sly characteristics that make up Ariel.