Where can I get a Reita nose cloth?

Reita from The GazettE, as you may know, has a trademark cloth he always wears that covers his nose. My friend wants me to buy them one as a birthday/Christmas gift, but I can’t find them. I was searching on the internet, but a "nose band" or "nose strap" is something for a horse and "nose strip" is the nasal passage opener. What is it called? If it doesn’t have a real name, what should I search for? And if I can’t buy one, what do you think it is so I can try and make one? Are there any cosplayers who have a Reita costume that can tell me what it consists of?

I personally have never done a Reita cosplay, but it looks like it’s really just a folded cotton bandana type of thing. Looks like it might have a faint grey swirl pattern on it..at least in the pics I see.
Shouldnt be too hard to make..just have to find some white/off white cloth with a light pattern in it and sew it like a bandana or just straight up as the nose band