map length (tiers :: [[ Word3 ]])  =  [1,1,1,1,1,1,1,1]

length (list :: [ Word3 ])  =  8

allUnique (list :: [ Word3 ])  =  True

ratioRepetitions (list :: [ Word3 ])  =  0 % 1

tiers :: [Word3]  =
  [ [0]
  , [1]
  , [2]
  , [3]
  , [4]
  , [5]
  , [6]
  , [7]
  ]