This lunchtime I noticed some big posters up in George Square advertising the Quiet Route between George Square and King's Buildings. (Sorry, no picture: no camera.)
The Quiet Route appears to be the same one that's called "Route 6" on blue signs; it takes you across the Meadows, up Lauder Road and along Relugas Road to join the Quality Bike Corridor in time to climb up Mayfield Road to the crossroads at the top. (How's the crossroads rebuilding coming on by the way? It should be finished by now but I haven't been up to see it.)
The posters give the URL http://www.edinburgh.gov.uk/cycling though that doesn't yet seem to have any specific information on the route.