I’ve got a “door gym” at home which fits in a door frame and allows one to do chin-ups (palms facing you) and pull-ups(palms facing forward).
There’s a third variation. From the horizontal bar a pair of curved bars go up to the cross-member that sits on the door moulding. If you grip these you can pull yourself up with your palms facing each other. It’s actually a very comfortable grip.
Is there a name for this variation? In terms of the muscle groups worked, how does it differ from traditional chin/pull-ups and what are the benefits/shortcomings compared to the traditional lifts?