Some symmetry is inescapable in making it functional and the manner I constructed it. I made several similar beaded wire segments using similar varieties of beads to achieve similar lengths. I also deliberately chose the two pieces with the largest beads as the center of the pattern. After that, I just grabbed from my pile of premade segments.

The apparent order in the second was an accident of not wanting the same colors adjacent, leading to a sort of symmetry in splitting them apart.