Yep! If you look carefully, the game time is shown at the top right of every page of beta.glitch.com. If you hover over that, you get the exact time and day, month, and year. Click on it, and you get the whole calendar :p
Oops! no week names. But yeah, Theday is the name of the day of the week :)
Oh, hmm. Not even the wiki has the days of the week yet. Sorry about that!
I know some of the other days are Moonday are Fryday.