This is a gånglåt, or walking tune, from Rättvik in Dalarna. It is one of the favorite tunes of fiddle teams there, and is widely known outside of Dalarna, as well.
The tune does NOT come from Stockholm!
Just as many American Police and Sheriff departments have bagpipe bands, there is a folk music band in Dalarna entirely composed of policemen. Here is a video of them playing Stockholmslåten