Little did I know that this method is actually a traditional Scandinavian technique known as twined knitting (tvåändsstickning in Swedish and tvebandsstrikking in Norwegian). I'd like to say that this method just felt natural to me because of my Scandinavian heritage, but maybe that's just in my head.
On one side of your work, twined knitting looks just like plain, old stockinette. On the other side, the twisted strands become a design element and you get a beautifully textured pattern.
To get an idea about how twined knitting works, here's a quick video so you can see the twisting and untwisting motion of the working yarn strands in action.
Twined Knitting in the Round
The complete pattern for these Spring Violet Socks is available in my pattern shop..