Sorry if my wording was weird. What I meant was I have a stop over on my way to Denmark. My flight lands around 6:30 am and I am staying over night until my next flight heading to Copenhagen around 1pm. So I have pretty much a full day and a little bit of the next morning to do some exploring.
Thank you for you suggestions, guys! Since I am there for such a short time I want to make sure I make the most of it!