What type of band Nicole? Grosgrain ribbon ?? With or without picot (scalloped edge) edge?
You need to use grosgrain or ribbon that you can swirl. It needs to be something that will stretch and curl, when you swirl with an iron. That or use silk cut on the bias, and finish using the traditional millinery technic of hand stitching the seam, so that it will swirl.
Bridget Early is right. You need millinery grosgrain, also called petersham in some parts of the world. You can tell it's the correct kind if it has jagged edges. They allow the ribbon to swirl with a steam iron. Also, make good and sure the grosgrain is made of a natural fibre, not polyester! I made that mistake once and regretted it immediately. Polyester oes not swirl. Let us know if you need instructions on swirling the ribbon. "From the Neck Up" book tells you how. Maybe elsewhere here or on the web, or on LinkedIn's Millinery group. Great group there.