I was doing some online research, and I came upon these talks by Elder Barsanuphius of Optima:
Talks with Spiritual Children (Part I)
January 2, 1911 ...One man had a dream of people dancing the quadrille, and an angel of the Lord taught him, saying, “Take a look at what they are doing.” And he saw it: “Lord, this is actually a desecration of the Cross of Christ.” In fact, the French quadrille was invented during the era of the revolution to trample on the Cross—you see, either four or eight people dance it, so that it turns out to be a cross.
A schema-nun had a similar dream. It seemed to her that the dancers were engulfed by flames and encircled with ropes and demons were leaping about and gloating over the destruction of the people.
I do not think that I have heard of the Quadrille before, but it does not surprise me that a diabolical dance would be invented by those supporting the French Revolution. However, in high school gym classes, especially during the rainy season, it was required that we perform ethnic dances. That one may have been included for our "edification."