Complex Conjugate

© 1998 by Eric Arnold

A dance celebrating the marriage of Charles Roth to Barb McRae, April 25, 1998
             Longways for six
Tune: A Model Married Couple, by 

Bob Pasquarello

(Real part)
A	1-4	1st couple set up & down, then cast into middle place (2nd
		couple moves up).
	5-8	Reels of 3 across the set, 1st woman passing L shoulder
		with 2nd man and 1st man passing L shoulder with
		3rd woman to start, into...
	9-14	1st couple face 3rd couple, 2nd couple face each other, 6
		changes of a circular hey for 6, passing R shoulders to
		start. (All end proper, order 213.)
	15-16	1st couple turn 2 hands once around.

(Imaginary part)
B	1-4	1st woman cast down around 3rd woman and cross up center
		to her partner's place, while 1st man cross up between the
		2nd couple and go down outside to his partner's place.
	5-8	1st woman with 2nd couple above R hand star once around
		while 1st man with 3rd couple below L hand star once
		around.
	9-12	1st woman continue down outside 3rd man and cross up the
		center to middle place while 1st man cross up and go around
		2nd man and down to middle place.
	13-16	2nd couple at top turn 2 hands once around while 1st and
		3rd couple circle L halfway (13-14) and then turn partners
		2 hands halfway to progressed place (15-16).

Remarks by the choreographer

The title comes from the mathematics of complex numbers. A complex number possesses a real part and an imaginary part. The complex conjugate of a complex number is another complex number with the same real part but the negative of the imaginary part. Thus the real part is symmetric, the imaginary part antisymmetric.

The dance mimics this in the symmetry or asymmetry of the figures. The first part has reels to represent the real part; the second part has images of interlocking hearts, each shared by two people, to represent the imaginary part. The stars represent not only the roles of the marrying couple: they are also the symbol frequently used in mathematics to designate the complex conjugate.

In the physical theory of resonances in linear systems, a resonance may be described by a pair of complex conjugate numbers. Two people who love each other well enough to marry might be thought of as being in resonance, lending another dimension to this analogy.

The dance as well as the tune (given in abc notation) reflect to a certain degree the individual natures of the two principals in this conjugation. The first part, representing Charles, a self-employed software producer with a theatrical side, is a bit hurried, and you may find that the dance schedules you to do a bit more than you actually have time for -- in any case, you need to look sharp and be on your toes to execute the figures without a scramble, particularly in the original version. The second part of both dance and tune contrast with a quiet lyricism and contemplative quality that represents Barb, and generates images of two interlocking, shared hearts. Thus both the dance and the music celebrate a conjugation that is indeed complex!

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