Hmmmmmmmmmmmmmmm.
I have one, too, downstairs in what used to be my workout room. It might be the changing room now. :p
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It's one of these: http://planetbuff.com/
It's a tube of fabric that you can wear a million ways.
Thanks! They are a little pricy, but I understand what they are now. There are a lot of pretty ones on that site!
I'll probably ask my brother for one for Xmas. They're a good $20 gift.
I think this one would go with your bike, Catrin:
http://www.planetbuff.com/Murano-Purple
I suggested a buff, since they are not heavy fleece or wool.