Which preposition to use with airiness

of Occurrences 8%

The first thing Willie did, after getting his room all to himself, was to put hinges on the windows and make them open, so satisfying his father as to the airiness of the room.

about Occurrences 1%

There is an airiness about its whole appearance, at all seasons, that gives an expression of cheerfulness to the scene it graces, whether it skirt the banks of a stream or spread out its courteous arms over a sunny knoll or little sequestered nook.

Which preposition to use with  airiness