I did a quick google.com search and came up with this site.. and statement:
http://www.liutaiomottola.com/myth/scroll.htm
"This is a myth, and one that appears to have survived for a long time. I`ve never seen it written down but have heard it repeated any number of times. My suspicion is that in most cases this myth is based on a misunderstanding of just what the golden mean spiral is. When the spiral of a typical violin scroll is compared side by side with a golden mean spiral it is quite apparent that the two are vastly different."
Of course the above statement may not be true at all. Try a search... you`ll find several discussions.
Katie
http://www.folkfiddle.com 
