Multiplication Mapped to a Circle || Long Version

You asked me for a long version of my YT Short so here it is. As multiplier increases a lot of the patterns end up being a mess, but every now and then they clean up and create beautiful visuals again. If someone can explain this please leave a comment. The music is Summer by Vivaldi. I'm having trouble finding good copyright free music for my videos so if you have any suggestions please leave them below.