One lives and learns.....I always thought of it as a "Branle",sans "s", but I am happy to stand corrected. Actually, I rather like this tune (The Horse's one) , but I find that it sounds much better ( and,in my opinion ,more authentic) if one plays it all in the same key,and avoids the dirgy minor bit....give it a try ! ( I mean ,play the dirgy minor bit,but in the same key as the rest of it ....lovely !).