The New Moon card in my oracle deck actually shows the moon as it is beginning to wax, with a little bit of light still showing on the right. The definition of this card is Blind faith. Time to begin, even though it may seem unreasonable. In order to prepare for action or change, we need to know what to look for, that the time to act is coming. When the moon shows a sliver of light on the left, you know that the New Moon is approaching in a couple of days. You are in a great position to make a plan to use the time of the New Moon well!
When the moon is still new but has begun to grow, with the crescent just showing on the right, it's a great time to begin things with blind faith - things like planting seeds or starting projects. However, in this post I'd like to think a bit about the time of deepest dark, and how that time fits into the cycle of the moon and what this can mean in our lives.
So, personally, I would take the night and day of the darkest moon as a time to do nothing. I would create a still pond on which new impressions and inspirations may be envisioned as that glimmer of light begins to show itself in the coming few days. A sort of internal scrying. Then I might begin to make plans and take actions, working my way toward the full moon when the power is strongest. There is no one right way to work with the moon's power. In some cases, I find that if I have a big, new idea I might only think and plan during an entire waxing period, and after the full moon begins to wane - I might simply let the idea begin to rest and think about it less. Then, as the moon begins to increase again, if the idea has taken root in my heart and mind, I will begin to work on it in a more concrete manner - laying groundwork, planting seeds and working with the increasing energy.