The spiral in a snail's shell is the same mathematically as the spiral in the Milky Way galaxy and it's also the same mathematically as the spirals in our DNA. It's the same ratio that you'll find in very basic music that transcends cultures all over the world.
I don't dream songs. I'm more apt to write dreams down and then to be able to interpret them into a song. I also tend to get up and write prose in the morning from which will come songs.