MYSTERIES UNVEILED

By JOSEPH W. PARKER


Contents


BOB AND SINGLE BLOCKS

We owe the discovery of the two blocks given below to the genius of Mr. J. O. Lancashire. They are formed mainly by singles at 1 and 10 throughout:

 2314567=14B
S3425176  9B
 3457261 13C
 4736512  5C
 4761325  7B
 7142653  6A
-7126453 12C
 1675234  4A
-1652734 11C
 6213547  1C
S6235174 10C
 2567341  2A
-2573641  3B
-5326741  8C
 5364217

There is an alternative course to this which has double bobs at 4.5 and plains at 12.13. This provides the means of joining the whole of the blocks into two parts only, so that two additional singles will complete a peal. The procedure is similar to that in the twin bob peals. If double bobs at 4.5 are used, sixes No. 3 are brought in. As these occur at 12, double bobs are omitted at 12.13 in the courses where the repeating six occurs.

Joinings by singles are, in direct form, as follows: 5C goes to 12C, 12C goes to 5C, 6A goes to 3C, and 3C goes to 6A, all reversed. Note, 3C only appears when there are double bobs at 4.5.

When the blocks are reversed, 7B goes to 4A, 4A goes to 7B, 6A goes to 12C and 12C goes to 6A.


 2314567=14C
S3425176  9C
 3457261  8B
S4732516  5B
 4721365  7C
 7146253  4C
S7162435  3A
 1273654 12C
 1235746 11A
 2514367 10B
S2543176  1A
 5327461  2C
 5376214  6C
-3652714 13B
 3621547

Joinings from a direct block:- 14C goes to 9C by a bob; 9C goes to 14C by a bob or single, and 13B goes to 8B by a single.

Joinings when the block is reversed:- 8B goes to 13B by a single; 9C goes to 14C by a bob, and 14C goes to 9C by a bob or single.

Note: That due to their construction the direction of the block entered is changed by a bob. After a single the block entered remains the same as the one just left, direct or reversed.

As these joinings give two Q sets which are curious and complicated, an example is given below:-

                       4352167=14C
 2314567=14C Bob to 9C=3241576= 9C
S3241756  9C           3217465= 8C=S to 13B below
 3241756=13B
 3214567=14C=Bob to 9C where first block was left

This Q set joins three five-course blocks, giving a quarter peal.1

The joinings shown by Table B for Mr. Lancashire's second block are bound to result in a number of double calls. Apparently he was not satisfied with these. Having found a block with isolated calls, he evidently wished them to remain so, as far as possible, in a complete extent. By digressing somewhat from Table B, he succeeded in joining the five course blocks into two equal parts, using calls which can only be termed his own2. Two singles unite the parts, and the results achieved can only be described as the most wonderful peal of Stedman Triples yet discovered.



Notes (PABS)

1 The Q-set replaces s with -s-:

231456
156243  1s.2.4 (6 sixes)
123654  1s.5s.8s.10s.12 = a
142536  3a
345126  1s.5s.8s.10 (12 sixes)
463521  1s.3s.6s.10s.13 = b
531624  3b
362154  1s.3s.6s.10s.13.14s.15s.18s.22s.25 (26 sixes)
231456  4b

2 The following alterations are made:

   from             to
 1235746=11A     1235746=11A
 2514367 10B    -2517346 13B
s2543176  1A
                 1235647=14C
 1235647=14C     2514376 10A
s2516374  9C    -2543176  1A

 2153764=13B     2153647= 9C
 2136547 14C    -2136547 14C

This introduces a false six at 10B, hence the same alterations must be made in the courses with 12 and 34 over.

Lancashire's peal contains one three-call set, which can be averted by transposing the composition to start in the middle of these calls. As an alternative, note that the bob to 13B reverses the block, and as a result of this the above Q-set can be used on its own to join the blocks - there is no need for the additional singles that cause the three-call set. A peal obtained by this means will have no more than two consecutive calls, although lacks the simplicity of the original.


This page created by Philip Saddleton

Last updated 7 October 1996