It may be too soon to refer to them as cycles. However, since the first of us had arrived, others had begun to appear at least... twice removed so far, spread between the months. So you may be part of that second "batch".

[Not that she could claim to know all of the faces who had been drawn in, but given the girl had implied she was playing catch up, it was not too much of a leap for that inference.]

It is likely connected to the energy the gods receive. The more people that are here, the more that is generated, and thus they can continue to draw others in.