Today was a pretty typical city day for us. Find the local transport into the city (bus in this case) and figure out how the ticket system works then explore the city area including finding the tourist info center, generally get the lay of the land and do a few boring chores - like new batteries for my multi-meter.
The day conspired against us a bit with periodic rain showers some of which were quite heavy.
The downtown area of Edinburgh has lots of historic buildings and the general setting is quite dramatic with the castle perched on the hill above the town. The center of town felt small compared to other cities with the shopping and business areas seemingly occupying only a few of the major streets.