My rule of thumb for calculating deflection is 1/4″-1/2″ for every foot of length — If that 10ft edge is running to the peak, I wouldn’t go over 3″…you’d be giving up a lot of head room. For every 1″ of deflection you put on a cat curve, you pull in the side walls and reduce height by about 2″ each.
When I made my 5-sided tipi I used 3″ defection for the 9 foot seams and left the bottom edges flat and it pitches really well…I pitched it before I hemmed the bottom flat to see if I needed cat cuts and it was fine. I’d rather be able to have it run straight to the ground anyway.
The key to a drum tight pitch is a consistent stitch (didn’t mean to rhyme that–ugh)…it will spread out the tension better than if the stitching is a little wiggly.