[r-t] Grandsire

[Philip Saddleton]

Nice to see the article by young Mr Pullin in the RW this week. We 
should have more of this kind of thing.

However, he dismisses the use of plain leads too easily - it is all part 
of the challenge of composing Grandsire. Starting with B-blocks, a q-set 
of six plain leads allows us to join six of these together. This fixes 
the direction in which these blocks are rung. Keeping the idea of a 
block with 1, 7 and 8 to ring in each position, there are effectively 42 
possible calling positions, giving seven types of q-set. Starting with a 
B-block with 78 at home, we can immediately rule out those that contain 
elements that come after the lead head, e.g. those with 7 or 8 before. 
Plains at the other five leads all belong to the same type. The sixth 
element is in a block of type 1xxx7xx8. If we have plains at all of 
these q-sets, we join both types of block, and what's more finish up 
with a 5-part block:

   2345678
   -------
   8726543  2
   3485627  2
   2537468  1
   6728543  1
   4863752  1
   5342876  1
   7256384  1
   4873652  2
p 4256378  3
   -------

Single in the missing type of block and join up all the bits, and we 
reduce significantly the number of singles required, and finish up with 
a simpler calling:

40320 Grandsire Major by Philip A B Saddleton
2345678   1  2  3  4  5  6  7
-----------------------------
8463752      -     -  -  -  s |
48637     -  -  -  -  -  -  s |A
4256378   -  -     -          |
-----------------------------
8235764      -     s  -  -  s |
28357     -  -  -  -  -  -  s |B
2463578   -  -     -          |
-----------------------------
53426            3A
-----------------------------
45263             A           |
54632             B           |
65324             A           |C
56243             B           |
25436             A           |
-----------------------------
52364             B           |
63425            2A           |D
36254             B           |
23546             A           |
-----------------------------
24356             D
-----------------------------
45326            2C
43256            2D
-----------------------------
35246            2C
32456            2D
-----------------------------
Repeat


-- 
Regards
Philip
http://myweb.tiscali.co.uk/saddleton/