We had a wonderful time at the apartment.
Though the entry is directly from Piazza Signoria, the apartment 'faces' the back side, towards other apartment = this meant it was quieter at night. Thus, the concert at the square did not bother us at all.
The location at Piazza Signoria was absolutely fantastic and allowed us to get to all our trips and meeting points so easily. The restaurants by the front door were very good too! We had a fabulous time!