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Certain aspects of Superbrothers: Sword & Sworcery EP are affected by the current phase of the moon. For example: the Megatome will display what the current moon is, or how many days until the next significant moon. At the moment, it says "Dark Moon", because the new moon is out. However, it first displayed Dark Moon more than 24 hours ago. How long will a special moon phase last in real time?

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It lasts the same length as the specific moon phase lasts in real life give or take a bit of approximation by the game. The average lunar cycle lasts about 29.5 days and there are considered to be 8 main moon phases, new, waxing crescent, first quarter, waxing gibbous, full, waning gibbous, last quarter, and waning crescent. While not precise because some phases last slightly different durations than others depending on the positions of the moon, the earth, the sun, and the person observing the moon, rather than complicated astronomical math, a simple approximation is about 3.7 days/phase or so (29.5 days/8 phases). See any site on lunar phases and the lunar calendar that you like, but for simplicity, here's the relevant source information on the wikipedia article.

I'm not sure if the game factors in eclipses.

You can temporarily change the moon phase in the game if you'd rather not wait by going to

the moon grotto

or you can just change your system date if you don't care about only getting 99% completion.

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To me the interesting question is how do they know if I changed time in settings or not. –  Jonny Mar 20 at 4:47
    
Follow up question added. gaming.stackexchange.com/questions/160905/… –  Jonny Mar 20 at 5:02

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