map length (tiers :: [[ Float ]])  =  [1,1,1,1,1,1,1,1,1,1,1,1,...]

length (list :: [ Float ])  =  Infinity

allUnique (list :: [ Float ])  =  True

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

tiers :: [Float]  =
  [ [0.0]
  , [1.0]
  , [-1.0]
  , [0.5]
  , [-0.5]
  , [2.0]
  , [Infinity]
  , [-Infinity]
  , [-2.0]
  , [0.33333334]
  , [-0.33333334]
  , [1.5]
  , ...
  ]