I soloed Elbow ridge in winter conditions by headtorch a couple of years ago. It was easy and enjoyable after the first tower, which was worrying in the dark - loose snow on compact limestone. Not sure a rope would have made any difference.
The ridges don't hold snow as well as you might expect and you'd want properly frozen turf, but they are good-looking 'mountaineering' lines by Peak standards...
In reply to Ander: Have driven down there this morning and there looks like some potential gully lines and many other mixed lines, plenty of potential that wouldnt be to much fun in summer. I have done Elbow ridge and the matterhorn ridge is on the to do list.