Traditionally, the each of the first ten days after the New Moon has it's own attributes and qualities. Here's the folklore on each of those days:
First Day: A good day for new beginnings. To fall ill on this day means the illness might last a long while. A child born at this time will be happy, prosperous, and live long.
Second Day: A good day for buying and selling and for starting a sea voyage. Also a good time for hoeing and sowing.
Third Day: Crimes committed on this day are certain to be found out....
... I am so sorry to do this to you, but this post has been moved to my new website, The Pagan Calendar, and can be found in its entirety here: Ten Days of the New Moon
As you explore this site, you may find links to a "page not found" instead of something cool and magickal. For this I apologize. I am very working hard behind the scenes to restore those pages along with a link to their homes on my new website where they can be viewed in full.