Cambridge Major Tenors Together - The Full Monty


In 1988, Brian Price completed tenors-together computer searches for palindromic and multi-part peal compositions of Cambridge Surprise Major with bobs and singles, making a number of important discoveries (see New Peals of Cambridge Surprise Major by Brian Price). It is perhaps surprising that these compositions remained undiscovered for so long, given the popularity of the method and the effort that must have been invested by composers with pen and paper since singles had become accepted in Surprise.

At that time, an exhaustive search for all the tenors-together compositions with bobs and singles was beyond Price's reach. But as computing power increases, more problems can be solved in this way, perhaps allowing that missed gem of a composition to be found. It is also possible to provide definitive answers to questions such as: What is the longest length? Or, What is the maximum number of combination rollups (crus) possible? Or, How many different lengths can be obtained?

I first completed a search for all the tenors-together compositions of Cambridge Surprise Major in 1995 using a 90 MHz PC and Single Method Composer (SMC), a search program designed and developed in 16-bit Assembler by myself in 1991. The search took 9 days to complete, but the program only kept the best 500 compositions for analysis. In 1998, I repeated the search using a 400MHz PC and SMC32, which is an improved version of SMC, completely rewritten in 32-bit Assembler and C by Mark Davies.

The following analysis is the combined result of two exhaustive searches. The first for all the tenors-together compositions with a conventional start and finish using normal bobs and singles. The second, rather longer search (which cannot benefit from rotational optimisation), adds the compositions finishing at the treble's backstroke snap. The round-block search took 25 hours to find 9,997 compositions with 255,138 rotations. The second search took 13 days to find a further 15,416 compositions with a snap finish. With today's PCs these searches are even quicker. The current record for completing the round-block search is just one hour 49 minutes using SMC32 version 0.95 on a PC with a 3.4GHhz Pentium IV processor. By comparison, a bobs-only search takes just 1 second.

In the table below, compositions with a similar structure are grouped, by the number of parts, the number of short courses, and their length. The maximum number of crus, maximum musical score, number of compositions, and where known, the composer of a published representative of each group is indicated. The musical score is based on a simple sum of musical counts, namely crus, 5678s, 6578s, 3456s, 6543s, 2345s, 5432s, and 4/5/6 bell runs both at the front and the back of the row. An example composition from each group follows the table.

Using only fourths place bobs, it is clear why Middleton's composition is so important. Only five very similar peal length compositions exist, with 99 rotations. The 5600 is the only five part and the longest length (No.1); two others are shortened forms of this by omitting three Homes (No.2) or by substituting a Before for 2M2W (No.3); and the other two are reversals of each other, originally discovered by James Washbrook and Arthur Heywood (No.4). By modern measures Middleton's is still one of the most musical compositions, containing plenty of runs of four or more bells to compensate for the paucity of 6578s.

In 1947, Price's controversial use of a single in his 5090 (No.29) opened Cambridge up to a much wider variety of composition, although it took another 40 years to discover its full potential. The analysis shows that compositions with singles fall into structural groups of dramatically different sizes from a single composition to thousands of similar variations.

Multipart compositions with singles are limited to just three groups, each with previously discovered examples. The earliest was a two-part, short-course, 5120 by Jim Diserens (No.7). Price's searches revealed a four-part 5120, also exclusively in short courses (No.5), and a musical two-part 5184 with 16 short courses (No.6).

There are 18 groups of one-part round blocks with singles, ranging in length from 5024 to 5344. Price discovered examples of nine of these groups, including the composition with the most i.e. 74 crus (No.18). David Beard found another, which was a 5088 with 31 short courses and only five long courses (No.22). Very recently I discovered that Stephen Yates had produced several tenors together compositions in the late seventies, but of these only a 5088 with three short courses had been published (No.9).

The compositions finishing at the treble's backstroke snap fall into 23 groups of 11 different lengths. It is for their unusual length that such compositions are rung, since they are musically inferior to the round blocks from which they are derived. Examples of only three of these groups have been published. In addition to Price's original 5090 (No.29), there is a similar 5090 by Andrew Tyler (RW 1988 page 940), a 5122 by Price (No.32), and a 5186 discovered by both John Warboys and John Goldthorpe (No.28).

So the question I asked myself in 1995 was "Have I found anything new?" and my conclusion was "Not a lot". However, I did pick just a few compositions which I felt had some merit, namely a slightly more musical 5024 than Brian Price's peal, with six short courses (No.13); a new 5024 with thirteen short courses which has the highest overall musical score in this analysis (No.19); and a 5216 with only one long course and 39 short courses, which has the most crus (118) when those off the back and front are added together (No.24). I also selected two 5250s, which I thought would be useful for 250th anniversaries, one with five short courses (No.35), and the other which is all in short courses until the last course (No.48).

The full results of these exhaustive searches can downloaded from here by anyone wishing to undertake their own analysis.

Graham John
May 2002 (from an original draft in December 1998)

Parts

Befores

Length

Max crus

Max score

Comps

Examples & features

Bobs Only Compositions

5

0

5600

62

348

1

1. CM, longest length

1

0

5152

62

337

1

2. CM, min calls (32)

1

1

5056

58

331

1

3. CM, min calls (32)

1

2

5184

61

333

2

4. APH/JWW

Total with Bobs only

5

Compositions with Bobs and Singles

4

40

5120

52

323

2

5. BDP, not atw

2

16

5184

68

356

4

6. BDP

2

40

5120

56

340

66

7. NJD (335 score), not atw; BDP

1

2

5184

64

327

273

8. BDP (56 crus, 299 score)

1

3

5088

72

324

1090

9. SY; max 56s & 65s (28)

1

4

5216

62

318

3754

10.

1

5

5120

72

326

1680

11. (319 score)

1

5

5344

64

302

392

12. (59 crus)

1

6

5024

71

325

437

13. GACJ; BDP (62 crus)

1

6

5248

60

335

330

14 (59 crus).

1

7

5152

66

312

64

15.

1

8

5056

71

358

464

16. BDP (70 crus, 330 score)

1

10

5088

68

325

32

17.

1

12

5120

74

341

1044

18. BDP, max crus (74); max 56s/65s back & front (44)

1

13

5024

69

359

196

19. GACJ (68 crus), highest score (359)

1

16

5184

68

356

26

20. BDP

1

17

5088

68

352

16

21.

1

31

5088

60

334

16

22. DWB (331 score)

1

35

5152

62

333

4

23.

1

39

5216

62

343

2

24. GACJ (336 score), max crus back & front (118)

1

40

5120

56

339

100

25. BDP, not atw

Total with Bobs and Singles

9992

Compositions Finishing at the Backstroke Snap

1

0

5058

56

234

12

26.

1

0

5282

53

291

1

27.

1

1

5186

53

280

1

28. JSW & JMG

1

2

5090

66

309

836

29. BDP (267 score); ANT

1

2

5314

59

279

22

30.

1

3

5218

67

333

777

31.

1

4

5122

68

338

3291

32. BDP (298 score)

1

4

5346

61

267

716

33.

1

5

5026

68

322

4982

34.

1

5

5250

62

296

315

35. GACJ (271 score)

1

6

5154

62

266

241

36.

1

7

5058

69

322

902

37.

1

7

5282

55

244

16

38.

1

8

5186

42

230

64

39.

1

9

5090

45

235

72

40.

1

12

5026

70

302

1883

41.

1

12

5250

44

248

560

42.

1

13

5154

51

265

2

43.

1

14

5058

37

222

128

44.

1

35

5058

59

320

4

45.

1

35

5282

64

329

4

46.

1

39

5122

60

329

138

47.

1

40

5250

59

328

449

48. GACJ, not atw (326 score); max calls(66).

Total with snap finishes

15416

ANT=Andrew N Tyler, APH =Arthur P Heywood, BDP = Brian D Price, CM = Charles Middleton,
DWB = David W Beard, GACJ = Graham A C John, JMG = John M Goldthorpe,
JSW = John S Warboys, JWW = James W Washbrook, NJD = Noel J Diserens, SY = Stephen Yates

Bobs Only Compositions

5600 Cambridge Surprise Major (No.1)

by Charles Middleton

23456   M  W  H
35264   2  2  3
5 part
  
62/32 crus
18/ 8 56s
 4/ 4 65s
12/ 4 3456s
12/ 4 6543s
12/ 4 2345s
12/ 4 5432s
80/39 4-bell runs
19/ 9 5-bell runs
 6/ 3 6-bell runs
= 348 total score

5152 Cambridge Surprise Major (No.2)

by Charles Middleton

23456   M  W  H
35264   2  2  3
56342   2  2  3
64523   2  2  
42635   2  2  3
23456   2  2  3

62/32 crus
18/ 8 56s
 4/ 4 65s
12/ 4 3456s
12/ 4 6543s
12/ 0 2345s
12/ 4 5432s
79/35 4-bell runs
19/ 7 5-bell runs
 6/ 3 6-bell runs
= 337 total score

5056 Cambridge Surprise Major (No.3)

by Charles Middleton (rotated)

23456   B  M  W  H
34256            2
45362      2  2  3
56423      2  2  3
62534      2  2  3
23645   -        3
23456      2  2  -

58/30 crus
18/ 8 56s
 3/ 4 65s
12/ 4 3456s
12/ 4 6543s
12/ 4 2345s
12/ 4 5432s
76/38 4-bell runs
16/10 5-bell runs
 4/ 2 6-bell runs
= 331 total score

5184 Cambridge Surprise Major (No.4)

by Arthur P Heywood (rotated) / James W Washbrook (reversed and rotated)

23456   B  M  W  H
35264      2  2  3
56342      2  2  3
64523   -        3
64235      2  2  -
36245         -   
42563      -  -   
42635   -        -
23456      2  2  3

61/30 crus
18/ 8 5678s
 4/ 4 6578s
10/ 4 3456s
12/ 4 6543s
10/ 4 2345s
12/ 4 5432s
74/39 4-bell runs
17/ 9 5-bell runs
 6/ 3 6-bell runs
= 333 total score

Compositions with Bobs and Singles

5120 Cambridge Surprise Major (No.5)

by Brian D Price (rotated)

23456   B   H
32564   -   s
26453   2   -
62534   -   s
34562   3   -
43625   -   s
43256   -   -
35462   -    
4 part

52/48 crus
10/12 5678s
10/ 4 6578s
12/ 6 3456s
 6/ 3 6543s
 6/ 3 2345s
12/ 6 5432s
58/51 4-bell runs
 9/ 8 5-bell runs
 4/ 3 6-bell runs
= 323 total score

5184 Cambridge Surprise Major (No.6)

by Brian D Price

23456   B  M  W  H
23564      2  2  -
54236   4        s
54362   -        -
23465      s     s
64532      -  -  
23546      -  -  -
32465   -        s
32654   -        -
32546   -        -
45236         s  s
2 part

68/48 crus
12/ 6 5678s
11/ 8 6578s
 1/ 4 3456s
 7/ 0 6543s
16/ 8 2345s
16/ 8 5432s
64/47 4-bell runs
13/12 5-bell runs
 4/ 3 6-bell runs
= 356 total score

5120 Cambridge Surprise Major (No.7)

by Noel J Diserens (rotated)

23456   B   H
56423   3   -
34562   4   -
46253   2   -
32465   4   -
26543   2   -
34526   3   s
26453   2    
2 part

56/56 crus
12/ 8 5678s
12/ 8 6578s
14/ 6 3456s
12/ 3 6543s
 1/ 0 2345s
12/ 6 5432s
64/42 4-bell runs
12/ 7 5-bell runs
 4/ 3 6-bell runs
= 335 total score

5184 Cambridge Surprise Major (No.8)

by Brian D Price (rotated)

23456   B  M  W  H
54326         s  s
62435      -  s  -
34625         -  s
25643      -  -  s
64523         s  -
32456      -  s  -
32564   -        -
45263      s     s
26453         -  -
43652      s     -
65342         s  -
32546      -     s
54236         s  -
54362   -        -
36245      s  -  -
52643      s     s
43625      -  -  s
56324      -     -
23465      s  -  s
45362      s     -
63254      s  -  s
25634         -  -
64532      -     s
23456      -  s  -

56/36 crus
12/ 6 5678s
 9/ 4 6578s
11/ 2 3456s
 7/ 0 6543s
14/ 0 2345s
14/ 0 5432s
68/30 4-bell runs
15/ 8 5-bell runs
 3/ 4 6-bell runs
= 299 total score

5088 Cambridge Surprise Major (No.9)

by Stephen Yates (rotated)

23456   B  M  W  H
45326         s  -
45263      2  2  -
62354      -  -   
45236      -  s  -
32546         s  s
54236         s  -
54362   -        -
34625      s  2  -
52643      -  -  -
64253         s  -
32456      -     -
23564   -        s
45362      -     -
32564      -     s
56324         -  -
32465      s  -  -
64523      -  -   
23546      -  -  s
23465   -        -
64532      -  -   
23456      -  s  -

72/40 crus
13/ 6 5678s
13/ 4 6578s
 8/ 1 3456s
 4/ 3 6543s
12/ 4 2345s
16/ 0 5432s
61/39 4-bell runs
14/ 9 5-bell runs
 3/ 2 6-bell runs
= 324 total score

5216 Cambridge Surprise Major (No.10)

Generated by SMC32

23456   B  M  W  H
54326         s  s
32456         s  -
32564   -        -
45263      s     s
23564      s     -
56324         s  -
43625      -     -
62345         s  -
34625         -  -
52643      -  -  -
64523         -  -
46235   -        s
25634      s     -
43652      -  -  -
56342         s  s
56423   -        -
23465      -  -  s
64532      -  -  
32546      -  -  s
45236         s  s
54362   -        s
36245      s  -  -
25643      s     -
64253         -  -
23456      s     -

62/36 crus
12/ 8 5678s
10/ 4 6578s
 8/ 4 3456s
 8/ 1 6543s
14/ 0 2345s
16/ 0 5432s
67/38 4-bell runs
14/ 9 5-bell runs
 3/ 4 6-bell runs
= 318 total score

5120 Cambridge Surprise Major (No.11)

Generated by SMC32

23456   B  M  W  H
45326         s  -
36524      s     -
42563      -  -  -
53264      -     s
64235      -  -  s
23465         s  -
23654   -        -
46352      s     s
32654      s     -
54623      s  -  
32645      -  -  -
32456   -        -
64253      s     s
53246      -  -  s
24536         -  -
63542      -  -  -
46532         -  
46325   -        -
32465         -  -
56243      -  s  -
23645      s     -
64325         s  -
46253   -        s
23456   -  -  -  -

72/40 crus
13/ 6 5678s
13/ 6 6578s
 4/ 1 3456s
 8/ 8 6543s
 9/ 2 2345s
 7/ 8 5432s
49/39 4-bell runs
16/ 8 5-bell runs
 4/ 6 6-bell runs
= 319 total score

5344 Cambridge Surprise Major (No.12)

Generated by SMC32

23456   B  M  W  H
34526         s  2
56423      s     -
42563         -  -
35264      -     -
53642   -        s
26345      -     -
45362      s  -  
26534      -  s  -
35624         s  s
62534         s  -
62345   -        -
53246      s     s
42635      -  -  
53264      -  s  -
35642   -        s
64352         -  -
32456      -     s
65423      -  -  -
24653         -  s
24536   -        -
56432      s     -
23465      -  -  -
46325         s  -
64253   -        s
23456      -     s

59/30 crus
15/ 2 5678s
 9/ 6 6578s
 7/ 3 3456s
 9/ 7 6543s
 9/ 7 2345s
 7/ 3 5432s
56/42 4-bell runs
14/10 5-bell runs
 4/ 3 6-bell runs
= 302 total score

5024 Cambridge Surprise Major (No.13)

by Graham A C John

23456   B  M  W  H
65432      -  -  -
43652         -  -
56324      s  s  s
34625      s     -
52643      -  -  -
46253         s  s
46532   -        -
23564      -  -  -
23645   -        -
32456   -        s
32564   -        -
65423      -  -  
32546      -  s  -
32465   -        -
54263      -     -
23465      s     -
54362      s     s
62345      s  -  
45236      -  s  s
23546         s  -
45326         s  s
45263   -        -
62354      -  -  
54326      -  -  s
23456         s  s

71/42 crus
11/ 8 5678s
14/ 6 6578s
 8/ 1 3456s
 6/ 0 6543s
16/ 0 2345s
14/ 4 5432s
65/33 4-bell runs
14/ 7 5-bell runs
 3/ 2 6-bell runs
= 325 total score

5248 Cambridge Surprise Major (No.14)

Generated by SMC32

23456   B  M  W  H
54236         -  s
32546         -  s
45236         s  s
45362   -        -
32564      -     s
54263      s     -
26453         s  -
43652      s     -
65342         s  -
65423   -        -
32456      -  -  -
23564   -        s
25643   -  -     s
42653         -  
63254      -     s
56234         -  
56342   -        -
34562         -  -
34625   -        -
56423      -     -
43625      s     -
56324      s     s
23465      s  -  s
65432      -  -  s
23456      -  -  -

59/42 crus
12/12 5678s
11/ 6 6578s
13/ 5 3456s
 9/ 0 6543s
 9/ 0 2345s
13/ 5 5432s
67/41 4-bell runs
16/ 8 5-bell runs
 3/ 4 6-bell runs
= 335 total score

5152 Cambridge Surprise Major (No.15)

Generated by SMC32

23456   B  M  W  H
45236         -  -
26534      s     -
43562      -  -  -
56342         s  -
32645      -     s
54263      -  s  -
65432   -        2
65324   -        -
34526      s     -
23546         -  
23465   -        -
64235         -  s
46352   -        s
23654      -     -
62543   -  -     -
64325      2  -  -
46253   -        s
52364      -  -  
46325      -  -  -
32465         -  -
32654   -        -
64253      -     s
23456      -     s

66/36 crus
10/ 4 5678s
10/ 8 6578s
 6/ 4 3456s
 8/ 7 6543s
 6/ 4 2345s
 7/ 6 5432s
48/48 4-bell runs
13/11 5-bell runs
 4/ 6 6-bell runs
= 312 total score

5056 Cambridge Surprise Major (No.16)

by Brian D Price (rotated)

23456   B  M  W  H
23564   -        -
65432      -  -  
32546      -  s  s
32465      2  2  - |
32654   -        - |
23546   -        s |
23465   -        - |A
54362      -     - |
63245      -  -    |
45236      -  -  s |
45362   -        -
63254      -  -  
54236      -  -  s
32456         s  s
54326         -  s
23456       A     

70/44 crus
13/ 6 5678s
11/ 6 6578s
 7/ 2 3456s
 7/ 0 6543s
14/ 4 2345s
14/ 4 5432s
62/37 4-bell runs
14/10 5-bell runs
 2/ 3 6-bell runs
= 330 total score

5088 Cambridge Surprise Major (No.17)

Generated by SMC32

23456   B  M  W  H
54326         s  s
32456         s  -
32564   -        -
45263      s     s
25634      s  2  -
43652      -  -  -
56342         s  s
46235   2        s
23564      s  -  -
64532      s  -  
23546      -  -  -
32465   -        s
32654   -        -
32546   -        -
23465   -        s
54362      s     s
63245      -  -  
54236      -  -  -
45362   -        s
34625   -  -     -
52643      -  -  -
45623         -  
45236   -        -
23456         -  -

68/44 crus
14/ 6 5678s
 9/ 8 6578s
 6/ 1 3456s
 6/ 0 6543s
16/ 4 2345s
14/ 4 5432s
63/36 4-bell runs
12/ 9 5-bell runs
 3/ 2 6-bell runs
= 325 total score

5120 Cambridge Surprise Major (No.18)

by Brian D Price (rotated for max 56s & 65s)

23456   B  M  W  H
32564   -        s
32645   -        -
56243      s     s
23645      s     -
65342      -     s |
42356      -  -  s |
35426         -  - |
46523      -     s |
23564*     -  -  s |A
56234         -  - |
23654         s  - |
32546   -        s |
65432   3          |
56324   -        s
65243   -        s
23456       A     

74/40 crus
13/ 8 5678s
13/ 8 6578s
10/ 8 3456s
 8/ 0 6543s
 8/ 0 2345s
10/ 8 5432s
52/34 4-bell runs
12/ 5 5-bell runs
 4/ 2 6-bell runs
= 317 total score (can be increased to 341 at the expense of 56s & 65s
by starting with course end marked with * in second A block)

5024 Cambridge Surprise Major (No.19)

by Graham A C John

23456   B  M  W  H
64352      -     -
56423   -        2
32456   3        s
23564   -        s
36452   2        -
45362         -  -
45623   -        -
54236   -        s
54362   -        -
32465      s     -
32654   -        -
23546   -        s
23465   -        -
64532      -  -  
32546      -  -  s
45236         s  s
43652      2  -  -
32564      -  2  s
45263      s     s
62354      -  -  
54326      -  -  s
23456         s  s

68/48 crus
12/ 6 5678s
11/ 8 6578s
 7/ 4 3456s
 7/ 0 6543s
16/ 4 2345s
16/ 8 5432s
68/44 4-bell runs
16/10 5-bell runs
 4/ 2 6-bell runs
= 359 total score

5184 Cambridge Surprise Major (No.20)

by Brian D Price

23456   B  M  W  H
25634      2  -  -
45362      -  2  -
56234   2        -
23564         -  -
64352   2         
54236   2        s |
54362   -        - |
23465      s     s |
64532      -  -    |
23546      -  -  - |A
32465   -        s |
32654   -        - |
32546   -        - |
45236         s  s |
62534      -     -
23456       A     

68/48 crus
12/ 6 5678s
11/ 8 6578s
 1/ 4 3456s
 7/ 0 6543s
16/ 8 2345s
16/ 8 5432s
64/47 4-bell runs
13/12 5-bell runs
 4/ 3 6-bell runs
= 356 total score

5088 Cambridge Surprise Major (No.21)

Generated by SMC32

23456   B  M  W  H
64352      -     -
45236   2        -
54362   -        s
32465      s     - |
32654   -        - |
23546   -        s |
23465   -        - |
64532      -  -    |A 
32546      -  -  s |
54236         s  - |
45362   -        s |
56234   2        - |
32564         -  s
36452       A
43652            -
62534      -  -  2
23456   2        -

68/48 crus
12/ 6 5678s
11/ 8 6578s
 1/ 4 3456s
 7/ 0 6543s
14/ 8 2345s
16/ 8 5432s
62/47 4-bell runs
13/12 5-bell runs
 4/ 3 6-bell run
= 352 total score

5088 Cambridge Surprise Major (No.22)

by David W Beard (rotated)

23456   B  M  W  H
35642   2        -
24635   3        s
53642      -  -  -
53426   -        -
53264   -        -
62435      -  -  
54623   4        -
24365   2        s
23465   5        s
24356   2  -  -  -
24563   -        -
64352   2        s
46523   -        s
32564      -  -  -
32645   -        -
32456   -        -
56423      -  -  s
65234   -        s
56342   -        s
23456   3         

60/44 crus
14/12 5678s
10/ 4 6578s
13/ 5 3456s
 4/ 0 6543s
 8/ 4 2345s
16/ 2 5432s
61/51 4-bell runs
10/ 7 5-bell runs
 3/ 3 6-bell runs
= 331 total score

5152 Cambridge Surprise Major (No.23)

Generated by SMC32

23456   B  M  W  H
35642   2        -  
54263   2        -  
45632   -        s  
32645   3        -  
32456   -        -  
54623      -  -     
32654   3        s  
32546   -        -  
42653   2        s  
46253   5        s  
35246   3        s  
64235   3        s  
36245         -     
64523   2        -  
46235   -        s  
53246   3        s  
24356         s  -  
42563   -        s  
42635   -        -  
23456   -         

62/48 crus
14/10 5678s    
 8/ 8 6578s
10/ 4 3456s
 3/ 0 6543s
 9/ 4 2345s
15/ 5 5432s
59/47 4-bell runs
 9/10 5-bell runs
 3/ 5 6-bell runs
= 333 total score

5216 Cambridge Surprise Major (No.24)

by Graham A C John

23456   B  M  W  H
32564   -        s
32645   -        -
24563   2        -
64352   2        s
46523   -        s
53462   4        s
53624   -        -
24653   3        -
42536   -        s
56423   4        s
65234   -        s
53426   2        -
53264   -        -
63425   2        s
63254   -        -
26354   5        -
62543   -        s
42356   2        s
35264      s  s  -
23456   4         

62/56 crus
12/12 5678s
 9/ 8 6578s
 9/ 5 3456s
 0/ 2 6543s
10/ 2 2345s
16/ 4 5432s
56/50 4-bell runs
 8/ 8 5-bell runs
 3/ 4 6-bell runs
= 336 total score

5120 Cambridge Surprise Major (No.25)

by Brian D Price

23456   B   H
32564   -   s
64532   3   -
43256   2   -
53624   2   s
32465   2   -
26543   2   -
35264   4   -
53642   -   s
56342   5   s
56423   -   -
34562   4   -
46253   2   -
56324   2   s
62435   2   -
23546   2   -
64523   3   s
23456   2    

56/56 crus
12/ 8 5678s
12/ 8 6578s
14/ 2 3456s
14/ 3 6543s
 1/ 0 2345s
12/ 6 5432s
66/41 4-bell runs
13/ 7 5-bell runs
 5/ 3 6-bell runs
= 339 total score 

Compositions Finishing at the Backstroke Snap

5058 Cambridge Surprise Major (No.26)

Generated by SMC32

 23456   M  W  H
 46352   s     -
 35642      s  -
 64352      -  -
 25346   -  -  -
 34526      s  -
 26453   -  s  s
 54623      s  s
 32465   -  s  -
 45263   -     s
 36254   -  -  -
 25364      -  -
 43562   -     -
 52364   s     -
 64325   -  -  s
 52346   -  -  -
 46325   -  -  s
 53624   -     -
 26435   s  -  s
 54632   s     s
 63245   s  -  -
 45236   -  -  s
 62534   s     s
(32456)  -  s     
 
 55/20 crus
  4/ 2 5678s
  7/ 2 6578s
 10/ 0 3456s
 10/ 0 6543s
  6/ 4 2345s
  6/ 0 5432s
 49/32 4-bell runs
 12/ 9 5-bell runs
  4/ 2 6-bell runs
 = 234 total score

5282 Cambridge Surprise Major (No.27)

Generated by SMC32

 23456   M  W  H
 52436      -     
 23645   -  2  3  
 34256   2  2     
 45362   2  2  3  
 56423   2  2  3  
 62534   2  2  3  
(32456)  -  s   
 
 53/32 crus
  9/ 8 5678s
  4/ 4 6578s
 12/ 4 3456s
 12/ 2 6543s
 12/ 4 2345s
  8/ 4 5432s
 63/35 4-bell runs
 11/ 9 5-bell runs
  3/ 2 6-bell runs
 = 291 total score

5186 Cambridge Surprise Major (No.28)

by John M Goldthorpe / John S Warboys

 23456   B  M  W  H
 42356            -  
 25463      2  2  3  
 56234      2  2     
 63542      2  2  3  
 34625   -        3  
 34256      2  2  -  
 53246         -     
 42635      -  -     
(32456)     2  s   
 
 53/24 crus
 15/ 8 5678s
  4/ 4 6578s
 12/ 4 3456s
 12/ 4 6543s
  6/ 2 2345s
  6/ 2 5432s
 57/36 4-bell runs
 14/10 5-bell runs
  4/ 3 6-bell runs
 = 280 total score

5090 Cambridge Surprise Major (No.29)

by Brian D Price

 23456   B  M  W  H
 42356            -  
 25463      2  2  3  
 34562      -     -  
 63542         -  3  
 34625   -        3  
 34256      2  2  -  
 53246         -  
 42635      -  -  
 56234      -     -  
 26435      -  
 63254   -  
 62534         -  2  
(32456)     -  s   
 
 51/26 crus
 15/ 8 5678s
  4/ 4 6578s
 12/ 4 3456s
  8/ 4 6543s
  6/ 2 2345s
  6/ 2 5432s
 53/33 4-bell runs
 14/ 8 5-bell runs
  4/ 3 6-bell runs
 = 267 total score

5314 Cambridge Surprise Major (No.30)

Generated by SMC32

 23456   B  M  W  H
 65342      -  s  -  
 43562         s  s  
 56342         s  -  
 56423   -        -  
 34625      s     s  
 62345         -  -  
 35246      s     -  
 24536         s  -  
 56432      -     s  
 43652         s  -  
 43526   -        -  
 52634      s  -  -  
 64235      s     -  
 23465         s  -  
 46235         -  -  
 53264      -  -  -  
 26354         s  -  
 35264         -  -  
 42563      -     -  
 65324      s  -  s  
 34526      s     -  
 25643      s  -  s  
 64253         -  -  
 32456      -     -

 59/28 crus
 13/ 6 5678s
  9/ 8 6578s
  4/ 8 3456s
  4/ 8 6543s
 10/ 0 2345s
  8/ 0 5432s
 50/38 4-bell runs
 13/ 5 5-bell runs
  3/ 5 6-bell runs
 = 279 total score

5218 Cambridge Surprise Major (No.31)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 32546         s  s
 54236         s  -
 54362   -        -
 23465      s     s
 65432      -  -  s
 43652         -  -
 25634      -  -  -
 36524         s  s
 36245   -        -
 45263      -  -  s
 32564      s     s
 65423      s  -  s
 42653         -  -
 56324      -  -  
 43625      -     -
 62345         s  -
 34625         -  -
 25643      -  -  s
 64253         -  -
 32456      -     -
 23564   -        s
 45362      -     -
 62354      s  -  
(32456)     -      

 63/38 crus
 10/ 8 5678s
 10/ 6 6578s
  8/ 3 3456s
  8/ 3 6543s
 13/ 3 2345s
 15/ 4 5432s
 64/44 4-bell runs
 17/ 9 5-bell runs
  3/ 4 6-bell runs
 = 333 total score

5122 Cambridge Surprise Major (No.32)

by Brian D Price

 23456   B  M  W  H
 65342      -  s  -
 43562         s  s
 56342         s  -
 56423   -        - |
 42563         -  - |
 53264      s     - |
 26354         s  - |
 43652      -     - |A
 43526   -        - |
 56324      s     - |
 23465      s  -  s |
 46235         -  - |
 25634      -     s
 34562      -  s  s
 64253       A
 32456      -     -

 54/30 crus
 13/ 8 5678s
 10/ 8 6578s
  8/ 8 3456s
  8/ 8 6543s
 10/ 0 2345s
  6/ 0 5432s
 58/37 4-bell runs
 17/ 6 5-bell runs
  3/ 6 6-bell runs
 = 298 total score

5346 Cambridge Surprise Major (No.33)

Generated by SMC32

 23456   B  M  W  H
 23564   -        -  
 45362      -     -  
 26354      -  -  -  
 43652      -     -  
 62354      s     -  
 35624         -  -  
 64523      s     -  
 25463         s  s  
 46523         s  -  
 46235   -        -  
 52634      s     s  
 64235      s     -  
 23465         s  -  
 54362      -     -  
 36452         s  -  
 52643      -  s  s  
 25436   -        s  
 64532      s     s  
 35246      -  -     
 46253      -  -  s  
 35264      -  -  -  
 53642   -        s  
 62345      s     -  
 54326      -  -  -  
 32456         s  -

 61/32 crus
  8/ 2 5678s
  7/ 4 6578s
 10/ 5 3456s
  2/ 1 6543s
  8/ 1 2345s
  8/ 4 5432s
 51/38 4-bell runs
  9/11 5-bell runs
  2/ 3 6-bell runs
 = 267 total score

5026 Cambridge Surprise Major (No.34)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -  
 23564      s  s  -  
 54362      -     s  
 23465      -     -  
 65432      -  -  s  
 23546      -  s  -  
 64352      -  s  -  
 32456      s     -  
 32564   -        -  
 65423      s  -  s  
 56234   -        s  
 24635      s     -  
 53642      -  -  -  
 62345      -     s  
 45326      -  -  s  
 32546         s  -  
 32465   -        -  
 46325         -  -  
 35624      s     -  
 42653      -  -  -  
 54623         -     
 54236   -        -  
 45362   -        s  
 62354      -  -  s  
(32456)     -      
 
 68/38 crus
 10/ 6 5678s
 13/ 6 6578s
  6/ 2 3456s
  9/ 2 6543s
 10/ 8 2345s
 11/ 6 5432s
 55/41 4-bell runs
 15/10 5-bell runs
  4/ 2 6-bell runs
 = 322 total score

5250 Cambridge Surprise Major (No.35)

by Graham A C John

 23456   B  M  W  H
 42356            -  
 63254      -     -  
 52364         s  s  
 25643   -        s  
 43652      -  -  s  
 56342         s  s  
 65423   -        s  
 34526      s     s  
 56423      -     s  
 42563         -  -  
 36254      -  s  -  
 25634         s  -  
 52346   -        s  
 36245      -     s  
 54263      -  -  -  
 63245      -  -  s  
 25346      -     s  
 34256         -  -  
 43562   -        s  
 65432         -  s  
 34562         s  s  
 62453      -  s  s  
 62534   -        -  
 54236      s     -  
 62435      -     -  
(32456)     s  s   

 62/22 crus
 15/ 6 5678s
  3/ 4 6578s
 10/ 0 3456s
 12/ 4 6543s
  7/ 0 2345s
  7/ 0 5432s
 63/28 4-bell runs
 17/ 5 5-bell runs
  4/ 2 6-bell runs
 = 271 total score

5154 Cambridge Surprise Major (No.36)

Generated by SMC32

 23456   B  M  W  H
 56342      -  s  s
 56423   -        -
 42563         -  -
 36254      -  s  -
 52364         -  s
 25643   -        s
 43652      -  -  s
 34526   -        s
 65423      -     -
 42356      s  -  -
 63254      -     -
 25634         -  -
 52346   -        s
 36245      -     s
 54263      -  -  -
 63245      -  -  s
 25346      -     s
 34256         -  -
 43562   -        s
 65432         -  s
 34562         s  s
 62453      -  s  s
 62534   -        -
 54236      s     -
 62435      -     -
(32456)     s  s   

 62/22 crus
 15/ 6 5678s
  3/ 4 6578s
 10/ 0 3456s
 10/ 4 6543s
  7/ 0 2345s
  7/ 0 5432s
 61/28 4-bell runs
 16/ 5 5-bell runs
  4/ 2 6-bell runs
 = 266 total score

5058 Cambridge Surprise Major (No.37)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 23546         s  -
 23465   -        -
 46235         -  -
 23564      s  -  -
 65432      s  -  s
 43652         -  -
 54632         -  
 45326   -        s
 54263   -        s
 62345      s  -  s
 34625         -  -
 65423      -     s
 32546      -  s  -
 54236         s  -
 54362   -        -
 32465      s     -
 52643   2        2
 64253         s  -
 32456      -     -
 32564   -        -
 45263      s     s
 62354      s  -  s
(32456)     -      

 69/40 crus
 11/ 6 5678s
 11/ 6 6578s
  6/ 2 3456s
  6/ 6 6543s
 11/ 2 2345s
 15/ 2 5432s
 60/40 4-bell runs
 16/ 8 5-bell runs
  3/ 2 6-bell runs
 = 322 total score

5282 Cambridge Surprise Major (No.38)

Generated by SMC32

 23456   B  M  W  H
 64352      s     s
 64523   -        -
 53426      s     -
 63245      -  2  -
 42536      -  -  
 36524      -  -  s
 36245   -        -
 42563      -  -  
 63524      -  -  s
 52634         -  -
 52346   -        -
 46325      s  -  
 25364      -  -  s
 25643   -        -
 25436   -        -
 52364   -        s
 34265      -     s
 35462   -     -  -
 46532         s  -
 25634      -     -
 63542      s  s  -
 25346      -     -
 34256         -  -
 62453      s     s
(32456)     s      

 55/28 crus
 11/ 4 5678s
  5/ 0 6578s
  8/ 0 3456s
  7/ 6 6543s
  7/ 1 2345s
  3/ 0 5432s
 53/30 4-bell runs
 12/ 7 5-bell runs
  3/ 4 6-bell runs
 = 244 total score

5186 Cambridge Surprise Major (No.39)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 26435   -  -  -  -
 26354   -        -
 26543   -        -
 45362      -  -  
 54623   -        s
 54236   -        -
 32645      -  -  
 45623      -  -  s
 62453         -  -
 54263         s  s
 26453         s  -
 26534   -        -
 45632      s     s
 65324      s  2  -
 42356      -  -  -
 53246         s  s
 56342   -     -  -
 43625      s  s  s
 62534      s  -  -
 34526      s  -  
 62543      -  -  -
 62435   -        -
(32456)     s  s   

 42/30 crus
 10/ 4 5678s
  3/ 2 6578s
  6/ 0 3456s
  8/ 1 6543s
  7/ 6 2345s
  6/ 2 5432s
 52/26 4-bell runs
 11/ 7 5-bell runs
  4/ 3 6-bell runs
 = 230 total score

5090 Cambridge Surprise Major (No.40)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 45362   -        -
 54623   -        s
 54236   -        -
 32645      -  -  
 45623      -  -  s
 62453         -  -
 54263         s  s
 63425      -  s  s
 23546   2        s
 45632      s  -  s
 62534      s     -
 34526      s  -  
 62543      -  -  -
 26435   -        s
 26354   -        -
 26543   -        -
 34562      -  -  -
 56342         -  -
 43625      s  s  s
 65324      s     -
 42356      -  -  -
 53246         s  s
 53462   -        -
 62435      -  -  s
(32456)     s  s   

 43/32 crus
 11/ 4 5678s
  3/ 4 6578s
  6/ 0 3456s
  8/ 1 6543s
  7/ 6 2345s
  6/ 2 5432s
 50/26 4-bell runs
 12/ 7 5-bell runs
  4/ 3 6-bell runs
 = 235 total score

5026 Cambridge Surprise Major (No.41)

Generated by SMC32

 23456   B  M  W  H
 23564   -        -
 64532      -  -  s
 53642         -  -
 62345      -     s
 54326      -  -  -
 54263   -        -
 23465      s     -
 54362      -     -
 23546   4        -
 45236         -  s
 45362   -        -
 32564      s     -
 45326   4        -
 32456         -  -
 46253      -     s
 35624      -  s  -
 64523      -     s
 32546      -  -  -
 32465   -        -
 45263      s     -
 62354      s  -  s
(32456)     -      

 70/38 crus
  9/ 6 5678s
 12/ 6 6578s
  8/ 1 3456s
  0/ 2 6543s
 10/ 6 2345s
 10/ 4 5432s
 50/45 4-bell runs
 10/11 5-bell runs
  2/ 2 6-bell runs
 = 302 total score

5250 Cambridge Surprise Major (No.42)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 62534      -     - |
 45623   4        - |
 62453         -  - |
 45263         s  - |
 45632   -        - |A
 32654      -  -  s |
 65324         -  - |
 34526      -     s |
 62543      -  -  - |
 26435   -        s
 54623       A
 54236   -        -
 62435      s     s
(32456)     s  s   

 44/38 crus
  9/ 4 5678s
  6/ 4 6578s
  0/ 6 3456s
  6/ 4 6543s
  6/ 8 2345s
  2/ 8 5432s
 41/38 4-bell runs
  7/10 5-bell runs
  3/ 4 6-bell runs
 = 248 total score

5154 Cambridge Surprise Major (No.43)

Generated by SMC32

 23456   B  M  W  H
 23564   -        -
 64523   3        -
 42356   2        -
 34562   -  -     -
 26543      -  -  -
 42563         -  
 24635   -        s
 36452      s  s  s
 53624   -        2
 35246   -        s
 54623      -  2  
 25346      2  -  s
 45632   2        s
 53264      -  2  
 65432      2  -  s
 65324   -        -
 43526      -     -
 62534      -  -  -
(32456)     -  s   

 51/36 crus
  5/10 5678s
 11/ 4 6578s
  7/ 4 3456s
  5/ 3 6543s
  5/ 3 2345s
  7/ 3 5432s
 42/47 4-bell runs
  6/ 8 5-bell runs
  3/ 5 6-bell runs
 = 265 total score

5058 Cambridge Surprise Major (No.44)

Generated by SMC32

 23456   B  M  W  H
 45236         -  -
 62453   4        -
 34256      -     -
 45623   2        -
 42356      2  -  -
 26534      -  2  s
 54632      s     -
 54326   -        -
 45263   -        s
 45632   -        -
 36254      -  -  
 54263      -  -  s
 26453         s  -
 62534   -        s
 34526      s  -  
 62543      -  -  -
 26435   -        s
 26354   -        -
 26543   -        -
 54623         s  -
 54236   -        -
 62435      s     s
(32456)     s  s   

 37/28 crus
 15/ 0 5678s
  1/ 0 6578s
  7/ 0 3456s
  1/ 4 6543s
  8/ 8 2345s
  6/ 0 5432s
 52/26 4-bell runs
 14/ 8 5-bell runs
  4/ 3 6-bell runs
 = 222 total score

5058 Cambridge Surprise Major (No.45)

Generated by SMC32

 23456   B  W  H
 35642   2     -
 53426   -     s
 26453   3     -
 65342   2     -
 65423   -     -
 24653      -  s
 54362   2     s
 54623   -     -
 23654   3     -
 32546   -     s
 56324   4     s
 65243   -     s
 56432   -     s
 54632   5     s
 32654   3     -
 56234      s  s
 56342   -     -
 56423   -     -
 32456   3     s

 59/48 crus
 14/ 4 5678s
 10/10 6578s
 11/ 7 3456s
  1/ 2 6543s
  9/ 5 2345s
 12/ 6 5432s
 55/46 4-bell runs
  9/ 7 5-bell runs
  2/ 3 6-bell runs
 = 320 total score

5282 Cambridge Surprise Major (No.46)

Generated by SMC32

 23456   B  M  W  H
 23564   -        -
 45362      s     s
 26345   3        s
 26453   -        -
 62345   2  -     s
 54362   3        s
 26354   3        s
 23654   5        s
 35462   2        -
 53624   -        s
 35264   3  -  -  -
 35642   -        -
 24635   3        s
 24356   -        -
 45632   2        -
 32645   3        -
 32456   -        -

 64/50 crus
 11/10 5678s
  8/ 8 6578s
  5/ 6 3456s
  0/ 3 6543s
 13/ 5 2345s
 13/ 6 5432s
 53/54 4-bell runs
  6/ 9 5-bell runs
  2/ 3 6-bell runs
 = 329 total score

5122 Cambridge Surprise Major (No.47)

Generated by SMC32

 23456   B   H
 35642   2   -
 24635   3   s
 24356   -   -
 54632   2   s
 65432   5   -
 35246   2   s
 32546   5   s
 24653   2   -
 45362   2   -
 54623   -   s
 56423   5   s
 62345   2   -
 26453   -   s
 53426   3   -
 32645   2   -
 32456   -   -

 60/50 crus
 13/ 8 5678s
 10/ 8 6578s
  7/ 6 3456s
  0/ 3 6543s
 13/ 5 2345s
 14/ 3 5432s
 57/51 4-bell runs
  8/ 8 5-bell runs
  2/ 3 6-bell runs
 = 329 total score

5250 Cambridge Surprise Major (No.48)

by Graham A C John

 23456  B   M   H
 32564  -       s | 
 32645  -       - |
 42563  2       s |
 24635  -       s | A
 62435  5       - |
 54623  4       - |
 42365  2       - |
 53426  4       -
 45362      A
 62345  3       -
 62453  -       -
(32456)     s        

 54/54 crus
 11/ 8 5678s
 11/ 8 6578s
  8/ 6 3456s
  1/ 2 6543s
 13/ 6 2345s
 13/ 4 5432s
 57/49 4-bell runs
  7/ 9 5-bell runs
  2/ 3 6-bell runs
 = 326 total score 

This page was last updated on 2 April 2005 by