Old-fashioned straight-backed armchair, freshly painted walls: how to keep them apart?

Yes, I know that’s what chair rails were for in my grandmother’s day. We don’t have them.

The chair is a lone antique survivor of what was once a dining set. It is in great condition, and I reupholstered the seat. The wooden back tilts just enough so that it contacts the wall while the rear legs are still an inch away from the molding.

The walls have just been painted a pale, soft blue.

I don’t want the chair scraping the wall (and there is really no other place for it but against the wall), and I don’t want to mar the chair.

What can I do to protect both of them without doing something permanent that compromises the chair or creating a solution that calls too much attention to itself?