Sorry, I am going to disagree here. You don't need 720 degrees from the distributor as that's 4 revolutions of the crank - two complete cycles of all 4 cylinders.
The problem with the crank trigger that you describe isn't that #1 is at tdc or bdc. It's that it is at tdc twice in the cycle. So you can have #1 at tdc, but #3 is firing.
There's some basics to be got right here I think! Sorry.