Since this discussion has expanded to include methods of working out dance 
choreography without using computers (or live dancers), here's a description of 
my method.

First off, I much prefer using diagrams to using props.  With diagrams if you 
think you made a mistake somewhere--for example if a supposedly good sequence 
doesn't end with dancers in the correct progressed position--then you can 
easily go back and check your work.  With props, as soon as you move them, you 
lose the history of where they were.

Second, both for ease of writing and ease of reading, I like to keep my 
notation pretty terse, but not so terse as to be cryptic.  That is, my diagrams 
shouldn't be cryptic *to me* if I look at them the next week or the next year, 
even if they might be cryptic to someone who doesn't know my conventions.

To diagram a dance sequence, I make a series of diagrams showing dancers' 
configuration at various points in the sequence, starting with the 
configuration at the start of the dance.  In between each two successive 
diagrams, I write the figure(s) that the dancers would do to move between the 
configurations they show.  I might also draw a large arrows from each diagram 
to the next.

For contras, I make the length of the line go horizontally across the page.  I 
happen to have picked the convention of putting the top of the set at the left 
(similar to what Larry Jennings does in _Give-and-Take_ and opposite to what 
Cary Ravitz does in the notes I cited in an earlier message).  For squares I 
use "caller's view" orientation, with couple 1 nearest the bottom of the page.

To represent dancers, I use numerals "1", "2", "3", ... for the gents/larks and 
corresponding letters "A", "B", "C", ... for the ladies/robins, so that A and 1 
are partners, B and 2 are partners, etc.  I happen to have the positions of the 
letters in the alphabet well memorized, so I can immediately recognize, for 
example, that 7's partner is G and vice versa without having to count.  Single 
digits and letters are more compact, quicker to write, and (at least for me) 
quicker to read than something like "Lark 1" with a box around it.

I typically use odd numbers and the corresponding letters for the "active" (#1) 
couples and even ones for the "inactives", so that the starting position of a 
duple minor contra would look like this:

1  B  3  D  5  F  ...
A  2  C  4  E  6  ..

(If you're not seeing corresponding letters and numbers aligned directly above 
and below each other, It's probably because you're viewing in a variable-pitch 
font.)  For a Becket dance, I might not be certain of the direction of 
progression when I start diagramming, but in any case I put the odd-numbered 
couples 1A, 3C, etc. on one side of the set and the even-numbered ones other.  
For a single-progression dance with no out-of-minor set action, it suffices to 
follow couples 1A and 2B.  For dances with out-of-minor set action, I might 
start by tracking a foursome partway down the set--for example, 3CD4 or 
5E6F--and then bring in more dancers an needed (more on "bringing in dancers as 
needed" below).  If I need to show dancer I (partner to 9), I write the capital 
letter "I" in a style easily distinguished from the numeral 1 (one).  In the 
unusual case of needing numerals as hight as 10 or higher, I'd put the digits 
close together so they couldn't be misread as denoting separate dancers
 .  I don't think I've ever needed the letter O (partner to 15), much less 
needed to show more than 26 couples.

When I want to show the direction a dancer is facing, as I usually do, I put a 
little dot next to the digit or letter, in front of where the dancer's nose 
would be.  Regardless of dancers' facing directions, I always write the digits 
and letters in their normal right-sude-up orientation.  To show a hand or arm 
connection, I draw a short line segment between the characters for the dancers 
involved.  I sometimes draw a little straight or (more commonly) curved arrow 
to indicate the path a dance is about to take or has just taken.  For common 
and familiar figures, such as "right and left through" or "circle left 3/4", I 
rarely need such arrows, but they can be useful for showing unusual figures 
(e.g., the distinctive figure in "The Devil's Backbone") or for analyzing the 
flow of certain transitions (e.g., poussette to hey in "Joyride").

In the middle of a duple-minor set, away from the area of end effects,  dancers 
in adjacent foursomes should be in identical configurations with corresponding 
dancers having letters or numbers that are "off by 2".  For example, if dancer 
6 is in some position in one foursome, dancer 8 should be in the corresponding 
position in the next foursome don the set and dancer 4 should be in the 
corresponding position in the next foursome up the set.  Similarly the actions 
of, say, dancer E should be paralleled by dancer G in the next foursome down 
and dancer C in the next foursome up.  I use this fact in two ways.  First, if 
I see that I have drawn two adjacent foursomes where corresponding dancers 
aren't in the "off-by-2" relation (except as expected on account of dancers 
reaching an end of the set and turning around), then I know I should go back 
and look for where I made a mistake.  Second, when a progression or an 
out-of-minor set action makes me want to want to bring in new dancers--that
  is, to start showing dancers that I haven't been tracking from the start of 
the sequence--the off-by-2 rule tells what dancer will show up in a given spot. 
 For example, a dancer encountered in a corresponding position to, say, dancer 
D (who I have been tracking) but one foursome down must be dancer F.

In the preceding paragraph, I referred to departures from the off-by-2 pattern 
"as expected on account of dancers reaching an end of the set and turning 
around," but I didn't say exactly what pattern *is* expected in that case.  
It's pretty easy to work it out, and any readers who don't know it already will 
learn it best if they work it out for themselves.

--Jim
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