According to this which was brought to my attention by @hailinel on twitter Lightning Returns both Dark Souls are Majora's Mask were both names evoked describing the systems surrounding Lightining Returns and how the 13 days mechanic works.
Kitase went into further detail when he was quoted in saying that, “If I were to describe the gameplay, I would say there are some elements with the severity ofDark Souls…” This along with the 13-days-to-complete-the-game mechanic really causes you to think more about your actions, and whether you want to buy certain items or not. Kitase and Toriyama also confirmed that the maximum amount of days you can get to complete the game is 13 days and this is only achievable by completing all of the missions. This is sure to increase the amount of pressure players will have to complete the game as quickly, efficiently, and wholly as possible. This will also add more replay ability as Square Enix stated that Lightning Returns: Final Fantasy XIII has been built for multiple playthroughs. On different days, different events will occur, each NPC will follow individual schedules, and interactions will change day-by-day similar to the Nintendo 64 classic, The Legend of Zelda: Majora’s Mask. - SOURCE
Sounds really really cool. A smaller experience designed around replaying it over and over sound like something that is super appealing to me. I should really play through XIII again and try to finish up my Platinum trophy. This news excite anyone else? Between this and dress spheres I'm practically drooling with excitement here.