The reel is a folk dance type as well as the accompanying dance tune type. In Scottish country dancing, the reel is one of the four traditional dances, the others being the jig, the strathspey and the waltz, and is also the name of a dance figure (see below).
In Irish dance, a reel is any dance danced to music in reel time (see below). In Irish stepdance, the reel is danced in soft shoes and is one of the first dances taught to students. There is also a treble reel, danced in hard shoes to reel music.

https://en.wikipedia.org/wiki/Reel_(dance)