Just a proof of concept. This machine counts to 64 in binary, and adds an atom to the output whenever it hits 64, making one output every 3*2^6 tape loops. This is just a baby version of what I have planned: by storing many more atoms in the right chamber, and maybe an extra couple in the left chamber (will require shuffling), I should be able to get this up to about 3*2^30. Maybe I can squeeze a couple extra powers of 2 in as well.