[r-t] Compositional help requested

[Andrew Johnson]

ringing-theory-bounces at bellringers.net wrote on 05/09/2006 20:39:54:

> 
> 
> Spliced Cinques / Maximus
> 
>                        1234567890ET
> 2*Slink                14523ET90786 |
> 2*Bristol              167890ET2345 | A
> -----------------------------------
> 9A                     190ET2345678
> -----------------------------------
>             M   W   H
> SSBB.BBB.       -   -  1452367890ET
> (Bristol)       -   s  132456
> -----------------------------------
> (Cambridge) s   s   s  154263
>             -       -  132465
>             -   -      164523
> -----------------------------------
> (Stedman)   x          13426578E90T
>                 ?????
>             y          ????658709ET
>                 ?????  2143658709ET
> 
> x=1,5,7,s14,19
> y=2,s13,s15
> 
> 
> There are 3544 rows up to the end of the Cambridge section.  Can some of 
you 
> Stedman fans please help me out and come up with a suitable simple block 
of 
> calls (at 7 and 18, or whatever is easiest) to replace the question 
marks in 
> the Stedman section?  Preferably maximising 567890ETs if possible.
> 
> There may be a prize for the best solution!
> 
Using Eril I found the following blocks

All 5261 changes, 12 567890ETs, 6 657890ETs, 42 67890ETs

u = 18,7,7,18,18
v = 7,18,7,18,18,18,7,18,7,18,18 

u = 18,18,7,18,7,18
v = 7,18,7,7,18,7,7,18,7,18,18

u = 18,7,18,7,18,7
v = 7,18,7,7,18,7,7,18,7,18,18 

u = 7,18,7,18,7,7
v = 7,18,7,7,18,7,7,18,7,18,18

Peals of 5129 changes only had 9 567890ETs, longer peals didn't
have any more. 

Andrew Johnson 
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