I've also heard Pleating to the stripe called the Military pleating.

Personally, I like it a whole lot better than pleating to the set. When you think about it, great kilts were probably pleated (or gathered) to the stripe - it was quick and easy.

The kilt I'm making for myself (8 yrd handsewn) is pleated to the stripe. The pleated section is one solid color (black with a thin yellow and thin red stripe) but when you walk, the other colors jump out at you. It's a really neat effect.