Diagonal Triple Parisian Stitch is made of groups of three stitches that span over two canvas thread and groups of three stitches that span over four canvas threads.
It is a diagonal stitch that falls on a true diagonal. It can be worked all in one thread or in two different ones. When you start your second row you will see that the stitches that span over two meet up with stitches over four on the diagonal and vice versa. 
This stitch has a lovely texture to it. Try it in Planet Earth Silk.