[r-t] Common Grandsire singles in Oxford Bob Triples

[Philip Saddleton]

I received this contribution. I have forwarded details of how to join 
the list to Robert.

Regards
Philip

Robert Bennett said  on 06/05/2009 06:26:
 > Dear Mr Saddleton,
 >
 > I notice that you were involved in a recent discussion about the
 > possibility of using grandsire singles in peals of Oxford Bob Triples.
 >
 > 
(http://www.bellringers.org/pipermail/ringing-theory_bellringers.net/2009-January/002772.html)
 >
 > I am not sure how to join this discussion, so I have sent you this
 > email. Please post it to the discussion if you think it worthwhile.
 >
 > Using grandsire singles in 2 hunt triples methods is effectively a
 > splicing problem, where the out of course leads behave as if they are a
 > completely different method.
 >
 > Using singles in Oxford Bob Triples leads to an awkward 9-lead splicing
 > problem. There are 9 in-course bob leads which have the same changes
 > as 9 out-of-course bob leads:
 > 234567,342567,423567,234675,342675,423675,234756,342756,423756
 > have the same changes as:
 > 765432,657432,576432,765243,657243,576243,765324,657324,576324.
 >
 > Unfortunately these 9 lead sets do not fit easily into one round block.
 >
 > By comparison, Grandsire Triples is a much easier 3 lead splice, with
 > the 3 leads forming a bob course.
 >
 > The peal below has 36 out of course leads sandwiched between pairs of
 > grandsire singles. The composition also uses Holt's singles. I am not
 > sure if this is strictly necessary, but I could not see how to avoid 
them.
 >
 > Peal Of 5040 Oxford Bob Triples
 > Composed by R.H.Bennett, March 2009.
 >
 > Calls used: Normal bobs, Grandsire singles, Holts Bob Singles (3rds
 > place bob followed by 14567 places at lead).
 >
 > 234567 1 2 3 4 5
 > ================
 > 356274 s s   -
 > 457263 - - s s -
 > 652374 - - s s
 > 375264 H   - - -
 > 365724 -   - - -
 > 325674 -   - - -
 > 253674 H - - -
 > 675324   -     -
 > 635427 - -     -
 > 653472 s s - - -
 > 547623 s s   -
 > 342675 - - s s -
 > 746523 - - s s
 > 645723 - - - -
 > 724563   -     -
 > 754362 - -   - -
 > 745326 s s - - -
 > 432765 s s   -
 > 536724 - - s s -
 > 237465 - - s s
 > 734265 - - - -
 > 264573   -     -
 > 254376 - -   - -
 > 245367 s s - - -
 > ================
 > 3-part.
 >
 >
 >
 > Regards,
 > Robert Bennett,
 > Auckland New Zealand.
 >