This Blue Moon is celebrated by a piece from E. M. Cook, composer, and one-hit wonder. Well, the internet would have you believe. about Mr. (I assume it's Mr., but it just as well may be Ms.) Cook. Cook published Blue Moon Two Step in 1913 and it's a pretty typical little rag. The tempo's nice and the syncopation good, but unlike it's namesake, it's nothing unusual. I do love the cover, though, and you can hear a MIDI of it here.