Right, I did a quick Google search and came up with a heap of websites, mostly Feminist* and/or New Age* talking about the effect of the lunar cycle such as:
"Certainly for a woman a key way to be sensitive to the lunar cycle is through her menstrual cycle. A woman's menstrual cycle may not be a perfect 28 days or link to the phases of the Moon, in ovulating at the Full and bleeding at the New Moon. There is some evidence that this used to be the order of things but that the amount of artificial light in our environment combined with the conditioned disconnection from our bodies has changed this.

Now this bothers me. If a woman's cycle used to be "perfect" and in line with the phases of the moon, what about all the societies where menstruating woman had to be segregated? Does that mean they all went off at once leaving the men and kids behind? A whole community? hmmm. Also, artificial light is nothing new - it's been around since the advent of fire - although we have a lot more of it nowadays. Do they mean electric light? I'm not convinced. I'd like to know more about this subject, but I wish these sites would state the bloody (pun intended) "evidence".

(* Not intended to be derogatoty. And I consider myself to be a feminist in that I want equality between sexes. Or does that make me an equalist? )