[r-t] [Fwd: 8 Spliced]

[Don Morrison]

On Thu, Mar 15, 2012 at 4:50 PM, Don Morrison <dfm at ringing.org> wrote:
> On Thu, Mar 15, 2012 at 2:40 PM, Alexander Holroyd <holroyd at math.ubc.ca> wrote:
>> How about also including the most muscial course of Bristol and the most
>> musical course of Pudsey, etc, in their entirity.
>
> A vaguely relevant aside:
>
> If all one is concerned with is maximizing the number of runs of four
> or more consecutive bells, at the front or back of the row, there are
> two tenors together courses tied for "best" in Bristol.

As might be expected, the Cambridge above elements of the SCS8 (So
Called Standard Eight) are predictably boring, with their best tenors
together courses by this metric being the plain course. Though perhaps
a little surprisingly Lincolnshire nearly has the "best" plain course
of these four methods. It's only got one fewer total such rollup than
Yorkshire (18 v 19 total). But because of the off kilter little bell
rollups off the front in a plain course of Lincolnshire, one might
argue they are more interesting than the steady fare of 5678s and
5432s (and their reverses off the front) that dominate Yorkshire's
plain course. Rutland and Cambridge are more pedestrian with only 14
total in each of their plain courses, all 5678s and 5432s at the back,
apart from a few 4321s of the front (and, of course, the 1234 off the
front that's part of rounds).

London and Pudsey are more interesting. Their best tenors together
courses (by this metric) are out of course, and, while containing only
a low density of such rollups, barely a third the total in of the
45362 course of Superlative (13 for London, 11 for Pudsey), they do
contain a pleasantly varied selection of different kinds of rollups.
And for Pudsey it's a four-way tie for first place, too! The 142365
course of Pudsey seems particularly amusing.

London
  the course 143256 contains
    87654231
    31425678
    54326187
    82716543
    14325678
    57861234
    12345678
    23457186
    21876543
    34567218
    78564321
    76581234
    28716543

Pudsey
 the course 143256 contains
    87216543
    54326817
    54321678
    23457816
    23451768
    41325678
    14325678
    75681234
    78216543
    76584321
    58761234
 the course 135462 contains
    23451687
    57681234
    68574321
    54328716
    18276543
    56782143
    23456718
    54321867
    87653142
    81273456
    65871234
 the course 142365 contains
    87216543
    76548213
    76548231
    86574321
    23458716
    57861234
    54326718
    78216543
    85671234
    23451867
    54321687
 the course 134526 contains
    41238765
    54321768
    67584321
    54327816
    14235678
    58671234
    17286543
    23456817
    23451678
    65781234
    71283456





-- 
Don Morrison <dfm at ringing.org>
"Igor liked a good maniacal laugh. You could trust it."
                                     -- Terry Pratchett, _Thief of Time_