From Wikipedia:

Released in 1998, Adiemus III: Dances of Time is the third album by Welsh composer Karl Jenkins as part of the Adiemus project. This album is a tribute to the interrelationship between music and dance throughout history. As such, most tracks are composed in a traditional style of dance, including meter.

This song was inspired by square dancing, but as it is unlikely to be used in an actual square dance, it will be added to the “not quite right” collection.