Following this rule, options start to present themselves.
In general, you want your patterns to contrast rather than clash.
While a solid tie will look great against either a gingham or window pane checkered shirt, with regard to patterned ties, you want to choose ties where patterns are smaller in proportion relative to the checkered shirt.
A navy tie provides the perfect level of contrast, complimenting your suit in the right way, while a burgundy tie provides a monochromatic look.
One thing to make sure is to try and avoid intricate patters, like paisley or geometrics.
Looking to add a level of sophistication to your next wedding? Your tie choice has become a conundrum.