I had the fortune this evening (07/12) of seeing and photographing a rainbow with supernumerary bows.
According to the excellent Atmospheric Optics website, supernumeraries "are the closely spaced greenish purple arcs on the inner (blue) side of the primary bow."
Here is a picture straight out of the camera followed by an edited version boosting the color/contrast/brightness to enhance the effect:
...and another a bit closer (again, edited to enhance the supernumeraries)
Clicking these images will take you to each image on my Flickr photostream. Once on Flickr, if you would like to see any of them larger, just click "ALL SIZES" above the image and then click "ORIGINAL," depending on how big you wish to see them.