In my case I found it in some music that I found at the exact right moment in my life and it served as a sort of pivot point to open myself up to life more. It's hard to know what caused what exactly; I don't believe it necessary to boil it down to something that would appease the cynics of the world. I instead see it as something of an omen: that I'd one day be able to participate in this thing called music.
It's a long road, but I thank you for reminding me of it.
Are you saying it's not commonly experienced?
I played it thousands of times until the tape finally broke.
It's very different than finding something beautiful or sublime.
For example, this is a stunning work of music, I find myself enthralled with it. http://www.youtube.com/watch?v=dZn_VBgkPNY
However, the opening of this piece will cause me to frisson mildly http://www.youtube.com/watch?v=4KDoz-7IHI4
While the first 3 minutes or so of this will send me into outer space http://www.youtube.com/watch?v=4uOxOgm5jQ4
Sadly, it'll often wear itself out if I play a piece of music too often. Sometimes I'll "save" certain pieces of music and only play them once or twice a year to experience the "flavor" of the frisson to that music.
It won't happen if I'm extremely stressed. It's actually a way I can tell I'm stressed, if music that should cause me to frisson doesn't. I've worked out some mental exercises and visualizing techniques to overcome the stress and let it happen which has been a great sort of therapy.