re: Trying to make twice a month mortgage payments

If I make a full payment one month before it is due, then start the 1/2 payments immediately after that, so that after 2 (1/2) payments the mortgage will have recent 2 payments, would I be able to continue with the 1/2 payments indefinitely?
Another way to ask is, will the 2 (1/2) payments prior be able to serve as the full payment so I can continue only making half payments?