Pattern brain teaser

I'm sure I'm missing something super easy.

I have a seemless pattern that was developed for print (read:not pixel perfect) that I've been tasked to turn into a website background. For print the swatch pattern was rotated 30 degrees. I can't figure how to export the swatch in a way that will work as a repeating background swatch. Are there any tricks for creating this swatch without turning my brain into knots? TIA!