We shot a project using the Panasonic HPX 170 at 1080i/24p with shutter speeds 1/60, 1/250, 1/500 as we were shooting outdoors.
The project was imported into FCP without a problem, but now on playback (in the timeline), every fourth and fifth frame is blurry. The first three frames play fine, but the following two are blurry. It might not be that noticeable on the computer, but it will be screened on a big screen and although it hasn't been tested on a TV or broadcast monitor as yet, I figure it's going to be worse when it's enlarged.
So, how do I fix it in FCP and what settings should I use next time, to eliminate the blurs in post.
Those are normal. Those are the INTERLACED frames. You are shooting 24fps onto a 30fps format, so some of the 24fps have to be mixed together (half fields from one frame, half from another) in order to spread the 24fps out in the 30fps format.
When you play it should look fine. This is typical, and is seen in FILM that has been telecined to 30fps tape as well.
If you shot 1080p 24pA, then you could reverse telecine and get to 23.98...24 actual FPS. But if you are going to 30fps tape or other format, then that would be pointless.