This is a smooth, gentle song from the "Songs from the Sea" concept album that appropriately does sound like something that'd be played in a fancy ballroom dance. In this case, Ariel is singing about preparing for the Mermaid's Ball.
I suppose I ought to be getting ready for the ball. I wonder if humans have anything like the mermaid's ball.
At the ball I'll dance like never before
Spinning up and down and round on the floor
When the music plays it's so entrancing
At the mermaid's ball when I go dancing
It's a lovely night, the seabreezes blow
Dancing by the light of starfish a-glow
Dreaming I'm in love, it's so enchanting
At the mermaid's ball when I go dancing
Pretty mermaids wearing seaflowers
Of green and pink and blue
Whirling round and round in circles
With their partners two by two
As the grand orchestra plays
Romantic songs of yesterday
We will dance the night away
Dreaming I'm in love, it's so entrancing
At the mermaid's ball when I go dancing
At the mermaid's ball when I go dancing
Dancing, dancing, dancing, dancing, ooh...