The triple will line up in three separate spots. If you want grain, pattern... to match up, you'll want a single start.
My first large pen, I tried a 13 x .5 tap and die - that means for every full turn, the pen will twist together by .5mm. My thread was just over 3mm long, which means it takes six complete turns to screw the cap on. I got a 13 x 1 tap and die for the next pen.:redface: