Thanks Diretonic for pointing out the measure number
That sort of dissonance comes up all the time in stride and other styles and played at speed–as you've already said–you'd hardly hear it–you can hear this kinds of clashes just as well in Chopin's piano music. In Erroll Garner's style this sort of dissonance is all over the place. Go to a more contemporary pianist like Clare Fischer and it's a keystone of his style. It is for other pianists as well.
What it comes to is Carolina Shout is an example of stride piano at it's best. Which means getting a handle on stride, but not necessarily ragtime, is the way to go–the essay in which the transcription we've been discussing explains that. So does Ethan Iverson, I think, in his dothemath blog post.
For another look at Carolina Shout, here's Branford Marsalis' recording.http://www.npr.org/player/v2/mediaPlayer...3559&live=1
It too points to the idea of the style rather than the exact notes being the important part. So with BM's recording the Jame P leadsheet actually becomes helpful.
Given all the different versions of Carolina Shout it would be interesting, well fascinating
if there was a collection of James P transcriptions like there is with Jelly Roll Morton.http://www.amazon.com/Ferdinand-Jelly-Roll-Morton-Collected/dp/0874743516
But of course it's significant effort to put that kind of time into something.
Anyway, one could say that part of what's coming from this discussion which is interesting for us all is "what is stride piano?" The answer's obvious to an extent. But for an interesting look at that question Thelonious Monk played stride when he recorded as a soloist. Imagine Monk playing Carolina Shout
I think this particular CS transcription has come up in the discussionhttp://dichmusik.dk/Jazz/Carolina%20Shout.pdf
It's the one by Riccardo Scivales ... whether it should be on the internet or not is a different story but that's the link for anyone who's interested ...
Heres a Dick Hyman CS transcription (of James P)https://www.scribd.com/doc/30890185/Dick-Hyman-Harlem-Stride-Piano-Solos
Again, whether it should be on the internet is another story