As with every Project Diva game released for PSP, a ‘Dreamy Theater’ version is released for PS3. These games use your save data from the PSP versions to allow you to play the songs in high definition with enhanced graphics on your PS3.
SEGA of Japan have just announced that a Dreamy Theater Extend will be released on the Japanese Playstation Store. There is currently no announcement regarding the release date at this time.
The game’s official website has screenshots and a tentative tracklist which you can view by clicking here.
I think it would be safe to say that Dreamy Theater Extend won’t be making it to Western shores as the game requires Project DIVA Extend to play (which is also Japanese exclusive). Sad times for Western Project DIVA fans
[Source: Hatsune Miku Project DIVA: Dreamy Theater Extend Official Website]