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NEW DANCES AND OLD

 NEW DANCES Here are six new dances that I've written since publishing my last book, A Sequence of Calculated Figures.   They have all been tested several times, but I would welcome feedback if you have a chance to try any of them.   Recorded music for all of these new dances, except "Look Park", is available on Gary's new CD, Mr. Roodman's Fancies.

DIFFERENT PARTNERS & DIFFERENT PLACES

Over the last few years, I have written several four-couple dances in which every dancer is in a different place with a different partner every time through the dance.   When I started trying to write this kind of dance, I discovered that there are few if any dances in the English, Scottish, and Square dance repertoire with this characteristic.   In fact, I could not find a single one and I wondered why.   Working with Mathematics Professor Michael Bush, now at Washington and Lee University, I found the reason:
 The DP/DP effect can not be achieved by doing exactly the same figures four times in a row.   Rather, the figures done the 1st and 3rd times through the dance need to be the same, and the figures done the 2nd and 4th times through also must be the same, but the two sets must be different (in a narrowly prescribed way).

 With this insight, I have now written five DP/DP dances.   The goal in each was to write a dance that felt more or less the same every time through, despite the DP/DP requirement, and avoid creating a sense that two entirely separate dances had simply been interwoven.   Actual dancers will have to decide whether or not I have met the goal.
 “The Invitation” in A Group of Calculated Figures       “Mevagissey Car Park” in A Group of Calculated Figures       “Social Symmetry” in A Group of Calculated Figures       “Silver Lining” in A Sequence of Calculated Figures       “Three’s Company” in A Sequence of Calculated Figures

 The last dance on the list, "Three's Company", deserves special comment.   It is a DP/DP dance for four trios of dancers (rather than couples).  The mathematics behind solving this puzzle says that it is theoretically possible to devise such a dance.   I know that what is conceptually possible is not necessarily enjoyably danceable.   I think that "Three's Company" is enjoyable, but again dancers will have to tell me. NOTE:   Kathryn Wright (of "The Wrights of Lichfield") has created a very useful, multi-colored diagram of the moves in "Three's Company".   It is especially helpful for keeping track of where everyone is as you teach the dance. Click Here to see it.         FYI, Michael Bush and I have written two versions of a paper on this topic.   The first one is a careful mathematical statement of how we figured things out.   It recently appeared in Journal of Mathematics and the Arts.  The second paper tries to motivate the key ideas from the first paper without being too rigorous about it.   It is addressed to people with some mathematical knowledge (but not too much) and an interest in dancing.   The arguments in the second paper are relatively easy to follow, but it may not always be obvious why they are always true.   To get that part, you probably need the first paper.* * In addition to Michael Bush's help in solving this puzzle, I want to acknowledge the members of the informal ECD Society of Dancing Mathematicians, who saw my query on the ECD List about the existence of such dances and sent me valuable comments and ideas.   Al Blank and Robert Messer were particularly enthusiastic about helping me figure things out.

 OLD DANCES REVISITED Occasionally, there is a dance of mine that I wish I could tinker with and re-release.  Also, I sometimes think of a way I could have made the instructions for a dance clearer.   The changes I have wanted to make are all pretty small, but I offer them here anyway for your consideration.

 Ann Arbor Hornpipe Cadgers' Caper Charlene's Celebration Coming and Going Dovetail Designing Woman Far Away Henry's Hornpipe Honeysuckle Cottage Laisteridge Lane The Matching Pair Mevagissey Car Park Mr. Chopin's Waltz Mr. Roodman's Fancy Promise of Spring Terpsicourante Trip to Stonington

 CORRECTIONS Here are some minor typographical and musical-notation errors that have snuck into my books.  There are probably others I have not found yet, but here are the ones I know about.
 Alexander's Birth Day(tempo marking) Designing Woman (music) Far Away (instruction) Helene('s Gavotte)(name change) Lichfield's Ruby Surprise (typo) A Quick Romp in the Hey (typo) Ramblin' Rosie (music) Social Symmetry (measure numbers) The Woodcock (instruction) Woodlands Waltz (measure numbers)

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