# 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*.

3-Couple Triangular Set.

At the start of the third repeat following the more 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 Sets

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