Here's a different sort-of-functional python fizzbuzz.

While it doesn't use the spiffy lazy lists of itertools, and does have the typical "if x % n == 0" test, it does generalize easily to the "and print Baz every 37th number" case.

  def joinmap(func, elements, separator):
    return separator.join(map(func, elements))

  def fb_value(x, fb={3:'Fizz', 5:'Buzz'}):
    words = joinmap(lambda n: fb[n] if x % n == 0 else '', fb.keys(), '')
    return words if words else str(x)

  def fb_range(low=1, high=100):
    return joinmap(fb_value, range(low, 1 + high), '\n')

  print fb_range()