[r-t] Triples differentials

[Philip Earis]

On Tuesday night Alan Reading rang a peal of spliced triples differentials (http://bb.ringingworld.co.uk/comp.php?id=874), calling a new composition with pure triple changes throughout (composition reproduced below).



The splice is analogous to 720s of Little Bob and Alliance Minor - in Alan's own words (from a reply to a facebook comment):



"The reason that you can't get a pure triple change comp in the base method is that q-sets of 3 bobs add 2 courses at a time, but you start with 1, so always end up with an odd number of courses (it is similar to the reason why you can't get a peal of Grandsire Triples with common bobs only).



What is needed is a direct shunt from course to another and back again. Of course a single would give you this but that would not be a pure triple change. This is the role of the alliance method. But the alliance method introduces alien rows over the half lead. However the place notation over the h.l. is 5.7.5 which is the same as the main method. By turning the treble round in 5ths (the little method) you can delete these rows from the lead of the main method in which they appear.



In other words, for every lead of alliance you have, you must have a lead of little at the appropriate place elsewhere in the comp. In a 1-part composition you could get away with as little as 2 leads of Alliance and two leads of little. However, for ease of calling, I arranged it into a 3-part structure and again for simplicity choose the minimum possible number of leads of Alliance - 2 per part. There would be nothing to stop you having more though and it is a possible future project to re-compose the comp for optimum method balance. On this occasion I wasn't bothered about that, I just wanted to ring the thing, to prove the concept, in the simplest way possible"





==
5040 Spliced Differential Triples (3 Methods)
Composed by A G Reading
4872 Two Towers Differential Bob, 108 Fellowship of the Ring Differential Alliance, 60 Return of the King Differential Little Bob, 24 com.
234567  1  2  3  Methods
436752  -  2
546327  3  -  -
43265   -     2
235764  -  2
235647  3  -
53462   -     3  T,TT,TTT,TRT,
432576  -  -  3
432765     -
642357  3  -  -
32546   -     -
45623   -     -
26543            TFT
24653         -  TFT,
64352   -     3  T,TT,TTT,TRT,
342675  -  -  3
342756     -
532467  3  -  -
34256   3     2

3 Part.

All courses are 3 leads long.
The method is always T unless shown otherwise.
All bobs occur in T and work by altering the 4th piece of notation, which is a 3, to a 1. This happens in the first half of the lead only. So T, means the lead is rung as 7.1.5.1.7.5.7.5.7.3.5.1.7.1 instead of 1&7.1.5.3.7.5.7

4872 Two Towers Differential Bob Triples, 108 Fellowship of the Ring Differential Alliance Triples, 60 Return of the King Differential Little Bob Triples, 24 com.

==










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