# Triangular Set

In recent years, the*3-couple Triangular set*for

*Couples*(see the diagram) has become quite popular; the

*Couples*are numbered clockwise as in the

*4 couple square set*and there is usually

*Progression*around

*The set*.

## Triangular Set

*3-couple, Triangular set*at the

*Start*of the third

*Repeat*following the most usual

*Progression*, 231, or of the second

*Repeat*following the less usual

*Progression*, 312.

Note that the numbered *Places* of the *Dancers* in the *Full set* (the *Places* in which they started the dance) are shown as 1 2 3, i.e., in Times New Roman font in the upper left part of the *Dancer's* symbol; their numbered *Places* in the *Active set* (the *Places* in which they started the *Repeat*) are shown as 1 2 3, i.e., in Helvetica font in the lower right part.

In The Swelkie, the *Progression* involves changing *Partners* though all are back with the original *Partner* at the last chord of the dance. The mathematically minded will recognize that this arises because the *Progression* for the *Men*, 312, is different from that for the *Ladies*, 231.

*Square set*is a completely natural name for the

*Circular set*for

*4 Couples*since it is easy to visualize the square formed by extending the lines joining the

*Positions*of the

*Man*and the

*Lady*of each

*Couple*. On that basis, it was logical to name the

*Circular set*for

*3 Couples*as the

*Triangular set*. However, with no markers for the points, A B C, visualizing the equilateral triangle, ABC, formed by extending the lines joining the

*Positions*of the

*Man*and the

*Lady*of each

*Couple*in the

*Triangular set*is strongly counter-intuitive (even mathematicians have difficulty with alignment at 60

^{o}rather than a right angle!). If only the

*Square set*had been called an Octagonal set, i.e, the shape of the polygon formed by joining the

*Positions*of the adjacent

*Dancers*, the

*Triangular set*would much more fortunately have been called a Hexagonal set, as shown shaded in the diagram.

Given that most Scottish Country Dancers have so much difficulty in positioning themselves correctly in this *Set* format, while *Making up* they should all *Take hands* in a neat circle; they should then move round as necessary so that the *Top couple* are aligned *Across the set*, as they would be in a *4 couple square set*. When not required to *Face Partner*, every *Dancer* in a *Triangular set* should take care to *Face* the *Opposite Dancer*. It is most important that the *2nd* and *3rd couples* should never align themselves as though they were *2nd* and *4th couples* of a *Square set*.

Each *Dancer* should maintain the correct shape of the *Triangular set* by checking his/her *Position* whenever back to one of the *Starting Places*. Some dances, such as The Wind on Loch Fyne, use *Figures* particularly suitable for *Circular sets* and so the *Triangular set* format can readily be maintained, throughout; others, such as Indian River Strathspey, use *Figures* which have to be distorted from their use in *Longwise* and *Square sets*, making the *Triangular set* format more difficult to maintain.

Much as the basic

*Square set*(with single

*Couples*on each

*Side*) has developed into more complex forms, so also has the basic

*Triangular set*:

The Pink Triangle has two

*Couples*on each

*Side*of the

*Triangular set*;

Carrick Castles is an example with threesomes, a

*Man*between two

*Ladies*, rather than

*Couples*, on each

*Side*of the

*Triangular set*;

The Celebration Seven has a fourth

*Man*in the

*Centre*of the

*3-couple Triangular set*.

See Alternative Dance Selections for lists of those dances in rarer formats of

*The set*, such as these, for which a crib or a crib diagram is available on this site.

## Links To Pages Related To 'Circular Sets'

Types Of SetsBack to the top of this Scottish Country Dancing '

**Triangular Set**' page