You don't have to go to Uji to hear its name. If you are shopping around for green tea while in Japan, you will see a number of products with origins in Uji and you'll run into a number of tea shops where you try sencha, matcha, gyokuro and other popular green teas and you can try your hand at proper brewing with the help of the staff. It's also the setting for the ending of the Tale of Genji, a part of the book that follows the next generation after Genji's death and there is a small museum where certain scenes are played out with an audio track, lights, and faceless mannequins.
I couldn't help noticing one thing during this quick trip to Osaka and that was while I had enjoyed the efficiency and orderliness of Kyoto after getting off a train in Changsha (where a man sang loudly, another man screamed at him and waved threateningly, men smoked between cars, a guy spit on the floor and the railway staff tried to sell things), this time it made me nervous. I was used to people standing right in front of the elevator door and walking straight ahead the minute it opened in China, in Japan I had to consciously remind myself to wait in line and was anxious about committing any number of faux pas and being disrespectful. China is frustrating, but I guess it's also somewhat my comfort zone. Lots of people with things to do, places to go, and no time to wait for you to figure things out and risk getting lost in the billions isn't always the nicest feeling, but at least I knew what to expect there. I had to keep adjusting in Osaka. I left early in the morning thinking about the other side of Japan that I'd been introduced to during my brief stay and how I'd enjoyed it, but I was ready to make my way back to the mainland and for the last few days of my vacation. On to Xi'An.