The Notorious Cowl is a hooded cowl. It is knit from the bottom up in one piece.

My suggestion is to use a wool yarn of sport weight held double together with a lace weight yarn or a wool yarn of worsted weight held together with a lace weight yarn.
I have used sport weight wool yarn held double together with mohair.

Yarn amount (approximately):
120g (300m/100g) (sport weight)
together with
25g (210m/25g) (lace weight)
Or
150g (130m/100g) (worsted weight)
together with
25g (210m/25g) (lace weight)

Gauge and needles:
15 sts x 19 rows = 10x10 cm in stockinette stitch.
6 mm circular needles 60 cm (or preferred length)

You will also need:
One extra 6 mm needle, whatever kind you have (a slightly smaller/larger size will also work).
Crocket hook
Tapestry needle
Stitch markers

Techniques:
German short rows
Three needle bind off
Twisted rib (optional)
Tubular cast on (optional) – suggested alternative: long tail cast on.
Italian bind off (optional) – suggested alternative: regular bind off.