So I got out a couple of balls of yarn, looked through a bunch of knitting patterns, and decided to use a top-down pullover pattern to make it.
What I came up with is a caplet. Although if you'd asked me what I thought about making a caplet I would have laughed in your face before swinging my scarf around my neck and walking away.
So it will be interesting whether I actually get to wear this, as it's not the sort of thing I had in mind at the start. I call it the Counterfort Capelet, named after the pullover pattern.