For all of these, I'd like some type of triangle. Maybe even having a large G with the rest of the name in smaller font. I like the professionalism of #2, it looks like an airline logo, it seems polished, but need to tie in some kind of triangle.
I really like that, it's a unique design. Can you do one with Gaylias layered over the design, and another that takes one of the triangles in the shape and incorporates all the colors of the rainbow? Like a prism?