If you're in Japan for 9 days you'll have to take a look at the JR Pass. If I'm not mistaken, it is valid for a week and you can take the shinkansen to go anywhere in the country. That way you can be in Tokyo for a couple of days and then go to Kyoto, Osaka, etc. You might even have time to go to Hiroshima.
The ticket is paid for just by going from Tokyo to Osaka and back to Tokyo, so for people who don't have a lot of time to spend, this seems a pretty good option.
Mauricio