This is the top (third American floor) floor of the museum of Orsanmichele. In Italian this is the piano secondo. The space is huge, the ceiling is soaring, and the views of Florence and the hills are amazing. Make sure to climb the stairs up here if you get the chance to visit the museum, which is now open on Mondays. Admission is free. This is a perfect spot to sit and meditate for a moment, for a quiet conversation, and to catch some views of Florence you won't find anywhere else.
