No, they had 2 rotors-- one with numbers-- (1 to 13 as i recall, and one with names-- 20) so one year would start with 1 dog, 2 fox, 3 wolf, 4 deer, and the next year might start with 1 llama, 2 dog, 3 fox, 4 wolf, 5 deer

so it was a combination of name and number, and since they off set each year... and since in each year, you would only have one occation of 12 fox-- it named a unique date!