The Sixdrilles are a clever reworking of the figures French Quadrille (or First Set) for a group of twelve dancers in the form of a square of trios, each consisting of a gentleman and two ladies. I have two Scottish sources for them, which match fairly closely:
The Ball-Room, by Monsieur J. P. Boulogne (Glasgow, 1827).
Lowe's Ball-Conductor and Assembly Guide...Third Edition, by the Messrs. Lowe (Edinburgh, c1830)
Monsieur Boulogne is billed as French, but I know no more about him. The Messrs. Lowe were a group of four brothers, all dance teachers, one of whom eventually became famous as dancing master at Balmoral for the family of Queen Victoria. Their book is difficult to date, especially since it is a third edition. A reference to the Sixdrilles being created around the time of the coronation of Charles X puts it at 1824 or later, and a late reference to the opera Guillaume Tell (Paris, 1829) at the very end of the book suggests 1830 onward. The last half-dozen pages look like a later attachment, however, and may have been added for the second or third edition. The Sixdrilles appear much earlier and are integrated into the overall work.
Whatever their precise date, Boulogne ensures that these particular trio-quadrilles are at least documentable to late-1820s Scotland. Let me note, however, that the idea of a quadrille of trios is not unique to Scottish sources. Either a lot of people had the same inspiration or there was significant borrowing of ideas (if not precise figures) going on.
In Germany, quadrilles for twelve (called Douzes) in four-trio (as opposed to six-couple) formations were published in the 1811 and 1813 editions of Wilhelm Gottlieb Becker's Taschenbuch zum geselligen Vergnügen and, closer in time to the Sixdrilles, in Christian Langer's 1824 and 1838 editions of Terpsichore. In London, G. M. S. Chivers included a set of "Troisdrilles" in his mid-1820s The Dancing Master in Miniature, and in far-off Quebec, W. G. Wells included "Tredrilles" in his 1832 Danciad. Wells copied most of his book from English sources, so I suspect his Tredrilles are likewise borrowed.
Given Boulogne's nationality and the Lowes' tendency to borrow liberally from continental sources, it would not particularly surprise me if the Sixdrilles have a French or German source. None of the other trio-quadrilles are precisely the same as the Sixdrilles, however. The Becker Douzes have some interesting figures, but the Tredrilles and Troisdrilles are banal.
The Sixdrilles are excellent, however: intelligent variations on the basic figures that are easy to learn for dancers who know the First Set, as any good dancer of the 1820s would, and a convenient solution to the problem of having more ladies than gentlemen at a ball.
Sadly, it is near-impossible to definitively answer the critical question of whether they were ever actually danced. There's a dearth of written ball programs for the British Isles in this era, and the Sixdrilles need not even have been listed on such. They were musically compatible with the First Set, so most of the room could be dancing a normal quadrille while a few individual sets danced in trio formation. But since the imbalance of genders continues to be a problem today, I find it useful to have a solution documentable to dance manuals, if not to the dance floor.
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