Skip the supplement for a room with a view of the Alhambra, since the view is seriously obstructed and the hotel is worth enjoying in its own right. The lodging takes its name from the original Nasrid capital that helps support the 16th-century building. Historic preservation precluded an elevator, but ground-floor rooms are available. Bathrooms are equipped with showers rather than tubs to maximize the living space in the chambers. The rooms have carved wooden ceilings in the Nasrid style, and minibars—a luxury that even the emirs didn’t enjoy.