How can I get across the bridge in the God of Rain's area?

Hint 1 of 6:

I found that for some odd reason, nothing would happen until I went across
the bridge once and then turned around.

Hint 2 of 6:

Once I did that, however, the bridge broke up into pieces and started to
swing back and forth.

Hint 3 of 6:

Take a hint from the inscription on the outside of the door to this area, and
show a little faith.

Hint 4 of 6:

You'll have to jump from bridge piece to bridge piece.

Hint 5 of 6:

Wait until it appears that the next bridge piece is just in front of you, and
then step forward.  As long as your timing isn't too bad, you should jump to
the next stage of the bridge.

Hint 6 of 6:

Then, when you get to the last bridge piece, you should notice that the ledge
that you want to reach will be just in front of you when the bridge piece is
at the far end of its swing (to the right if you're facing forward).