In response to Joe's idea to make Alice loopy, I thought it would be fun to make a song of repeating tweedledees and tweedledums. I put an example of what I mean below. However, I am not a musician so I have no idea how this could be executed. Maybe this could even just be a series of repeating dum dee dums.

tweedle tweedle dee
tweedle tweedle dum
tweedle dee tweedle dum
dum dee dum dee dum dee dum

tweedle tweedle dum
tweedle tweedle dee
tweedle dum tweedle dee
dee dum dee dum dee dum dee