I found a similar success with some project I've done when tiling a couple of overlapping textures with differing prime factors as their scale, I got the idea learning about cicada genrations arriving every X prime years that way the texture still repeats but only every multiple of ALL prime numbers involved (much larger distances)
Yeah, The Cicada Principle[0] is a really neat trick. I remember it doing the rounds in web design circles back in the early 2010's
It looks nice in a lot of design contexts. I made a spinning progress indicator for an internal prototype at work in 2010 or so that had three concentric gear-like rings with rotations that were each a prime number of frames. It was less than 100 frames total, but was very unlikely to visisbly repeat any given arrangement of the rings before loading finished.