URL rewriting that visibly rewrites (changes the URL in the address bar)
As I cannot leave comments now, I'll post my addition to Ignacio's comment here.
You actually should post a 301 (Moved Permanently) redirect, as you're describing there's a new site directory structure. So your RewriteRule should read
RewriteRule ^oldscheme/(.*)/?$ newscheme/$1 [R=301]
It turns out adding a "redirect" code does the trick:
RewriteRule ^oldscheme/(.*)/?$ newscheme/$1 [R]Obvious in retrospect, but hopefully this makes the answer more searchable.I found it on this excellent "cheat sheet":
http://www.addedbytes.com/cheat-sheets/mod_rewrite-cheat-sheet/