[r-t] Treble Dodging Royal (Universal Four Part)

[Robert Bennett]

There is a peal of London No 3 S Royal for handbells, by Roger Bailey in
Composition 502 which has some similarity:

23456 MWH
34256       2
45623 -  2
26354 -  -
53462 -  -
24365 -     -
2-part


This is certainly a handy plan to make peals. I made one for Yorkshire
which is not too bad.

Arranged Robert H Bennett
23456 MWH
64352 -      -
56342    -
23645 -     -
26435   -   2
24365   -   2
2-part.

I wouldn't be surprised if all the good ones of these had been found years
ago.

On Wed, Jul 13, 2016 at 6:16 AM, J. J. Bissell <j.j.bissell at cantab.net>
wrote:

> Dear All:
>
> Strictly speaking I don’t think it is possible to produce a bobs-only
> four-part peal of Treble Dodging Royal, but the effect can be achieved on a
> `three-courses-per-part’ plan by inserting a course to bring up a suitable
> half-way part-end. For example, last week I found the following:
>
>
> ------------------------------------------------
> 5,040 Treble Dodging Royal (Universal Four Part)
>
> 23456  M  W  H
> --------------
> 42356        -
> 25634  x  -
> 43652  -  -  -
> --------------
> Four part : call x = MW in Parts I and III only.
>
> True to all CPS methods in LHG b, c1, & f.
> ------------------------------------------------
>
>
> which is based on a 24365 half-way part-end, and can be reversed for tenth
> place methods using eighth place bobs:
>
>
> ------------------------------------------------
> 5,040 Treble Dodging Royal (Universal Four Part)
>
> 23456  V  O  I
> --------------
> 45236     -  -
> 53462  -     -
> 34562  x  -
> --------------
> Four part : call x = IV in Parts II and IV only.
>
> True to all CPS methods in LHG l, k1, & g.
> ------------------------------------------------
>
>
> An attractive feature of these arrangements is that each contain eight LB
> courses in full (including all five LB5 courses); this means that the LB
> music content is fairly respectable regardless of chosen method, while
> coverage of incomplete LB courses can be maximised by selecting methods in
> LHG f and g. I’ve posted two examples, `5040 Bristol Surprise Royal
> (Universal Four Part)’ and `5040 Yorkshire Surprise Royal (Universal Four
> Part)’, at
>
>   http://bb.ringingworld.co.uk/comps.php?machine_comp&stage=10
>
> I think that this result is interesting, and raises a few further
> questions. In particular, if restricted to the following plan:
>
>   (a) universal four-part structure (conventional bobs-only)
>   (b) half-way part-end 24365 or 65432
>   (c) all five LB5 courses in full
>
> how many other compositions can be found? I’m sure that somebody good with
> machine proofs can answer this question quite quickly, as the search space
> should be small.
>
> I would be especially interested to know of a composition for the
> lead-head groups not covered by my arrangements above.
>
> Best wishes,
>
>
> John
>
>
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>
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