For byzantine weave you can see from the photographs how the 3.2 aspect ratio is very tight, there aren't any big spaces that separate the patterns. This tight weave is great for chains that have a heavy feel and compact look. This tight weave also helps the chain hold a form such as in my byzantine pendant where it is shaped into an angular teardrop.
As the aspect ratio number gets bigger so do the spaces between the patterns. The largest aspect ratio of 5 in the photos makes the pattern look like ancient symbols. This weave is too loose to hold the pattern for some jewelry items. It will work if it is hanging with some weight and could work on a bracelet if it was tight, so the pattern was stretched out and held in place.