Contrarily vs Contrary

As I posted in WordReference (http://forum.wordreference.com/threads/contrairement-%C3%A0-ce-que-lon-p...), here is an explanation of Contrarily vs Contrary:

Although Meryle is correct, search the free COCA linguistics database (http://corpus.byu.edu/coca/), "contrarily" is far rarer than "contrary" and appears most frequently in academic texts (less, if ever, in soap operas or literature). The most common collocate (words/tokens found nearby) for "contrarily" is a "," (a comma, with 25 hits) as in

In this respect it breaks new ground. Contrarily, it is difficult to see how the religious nature of the bank affects the...

whereas the number 1 collocate for "contrary" is "the" (the determiner, with 7681 hits), as in:
Almost immediately, he began to entertain the belief that, contrary to Orthodox teaching, we come from the sea and, according to a pile...

In short, both are used, but "contrarily" is rarely attested.