[r-t] A quarter of Stedman Caters

[Chris Munday]

Over the past few weeks I have done a restricted search to investigate how
any desired music can be connected efficiently.

 

My selection of musical rows, fairly standard, was

231456789

135792468

975312468

162738495

564738291

123497568

432197568

987654321

Plus the 14 near misses of rounds and backrounds which occur in different
sixes.

 

The file of connections between these 22 rows using 12 sixes or less has
3449 records when I limited these to 

      the row anywhere in the last (quick) six, or

      the row anywhere in the penultimate (slow) six and this is followed by
a plain.

In other words, 12 possible course ends for each selected row.

 

Commencing at the normal start, as courses were added the file increased
rapidly in size, so as necessary I pruned it to include shorter lengths.

 

Having obtained the route of course ends I could select and prove the
calling for each course.

 

One of the many possibilities is

 

1251 Stedman Caters

231456789                                       sixes

---------                                       -----

153974286         s1.3.s4.6.7.8                   8

789563421         1.2.3.6.s7.s9.11.s12          12 

132945786         s1.2.4.5.8                      8

876592413         s2.5                            6

231546789         s3.10.s12                     12

789653412         1.2.5.6                         6

132546798         1.2.4.5.7.8                     8

987653421         2.5.6                           6

124538697         1.s3.s5.s8.s10                12

647859312         1.2.s3.5                        6

214537698         1.s2.4.6.7                      8

698754321         1.2.5                           6

597312468         2.3.4.7.s11                   12

789563412         2.s3.6.s8                       8

234915786         2.4.5.8                         8

123456798         2.4.s5.7.9.11.12              12

987563412         s1.s3.s5.s8.s10.s12           12

134628597         1.3.4.7.8.10.11               12

975281634         s1.s3.5.6.s8.s10              12

312456879         s1.3.4.s8.10                  10

261374859         3.5.s6.8                        8

214365879         4.5.7.12.13.14.15             16

Rounds next handstroke

 

All basic stuff but may be of interest.

Chris Munday

 


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