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Campanalogia

Chapter 112: Jumping Doubles dodging behind.
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About This Book

A practical and mathematical manual on the art of change-ringing, presenting clear rules for composing and performing sequences of bell changes, mathematical demonstrations of how changes multiply to form complete sets, and numerous example peals and methods for practitioners. It balances speculative discussion of permutation principles with detailed practical guidance for ringing technique, notation, and composition, and includes newly devised peals and corrective notes addressing errors in earlier printings.

Seventeen Peals composed at Cambridge, by Mr. S.S.

My Honey. 1 and 2.

12345 31254 54321
21354 31245 45231
21345 13254 54231
23154
45213
23145 13524 54213
32415 15342 45123
23415
45132
32451 15432 41523
23451 51423 41532
32541 51432 14523
23541 54123
32514 54132 14253
23514 45312 12435
32154 54312
32145 45321 12453

In this peal there is a whole-hunt and an half-hunt. The whole-hunt lieth always four times before, and four times behind, and twice in every other place. The two hindmost bells always dodg ’till the whole-hunt hindreth, except when the whole-hunt is before, at which time there are four changes made of a four and twenty doubles and singles; the first of which is a double change brought in by the course of the bells (as in the following peal appeareth) 13254; the second is a single in the third and fourth places (13524); the third is a double on the four last (15342), and the fourth a single again in the third and fourth places (15432), except when the half-hunt is with the whole-hunt before, then it is to be an extream behind. When the whole-hunt leaves the third’s place hunting up, the two formost bells dodg till it returns into the same place again.

The Whirligigge. 1 and 5.

In this peal, first the bells dodg behind (and not before) till the whole-hunt hindreth them; and the next course they dodg in like manner before (and not behind) till the whole-hunt hindreth them; and so by turns throughout the whole peal. When the whole-hunt is before, if the bells were dodging behind before it came to lead, single behind; if they were dodging before, single in second’s and third’s place; and when the whole-hunt leads, and half-hunt is in Tenor’s place, there is always an extream to be made in 3d and 4th place, which is every fourth time the whole-hunt leads.

21354 51243 31245 41352
23145 52134 32154 43125
32415 25314 23514 34215
34251 52341 25341 43251
43521 25431 52431 34521
45312 52413 54213 43512
54132 25143 45123 34152
51423 21534 41532 31425
15432 12354 14523
15423 13254 14532 13425

Jack-on-both-sides. 1 and 5.

21354 45132 52143 32514 23451 53421
23145 54312 25413 23541 32541 35412
32415 45321 52431 32451 23514 53142
34251 54231 25341 34215 32154 51324
43521 45213 52314 43125 31245 15234
34512 54123 25134 41352 13254
43152 51432 21543 14325 13524 15243
41325 15342 12534 14235 31542 51423
14352
12354 41253 35124  
14532 15324 21345 42135 53214  
41523 51234 23154 24315 35241  

In this peal the bells always dodg both before and behind, till the whole-hunt hindreth them; except when both the Hunts are together either before or behind; for then the two farthest bells from the Hunts do leave dodging for the next change onely which is always a double made by the two Hunts and the two next bells to them. The singles and extreams are made as in the Old Doubles.

Winwick Doubles. 1 and 3.

In this peal, first, the two hindmost bells dodg till the whole-hunt hindreth them, till the first single is made: and then the two formost bells dodg ’till the whole-hunt hindreth them, until there be made another single, and so they continually dodg successively throughout the whole peal. There are six singles which are made in the same manner as in St. Dunstan’s Doubles, page 127.

21354 41532 31254 41523
23145 45123 32145 45132
32415 54213 23415 54312
34251 52431 32451 45321
43521 25341 23541 54231
45312 23514 32514 45213
54132 32154 23154 54123
51423 31245 21345 51432
15432 13254 12435 15342
14523
14253
  13524   15324

Non-such. 1 and 2.

In this peal the bells always dodg both behind and before till the whole-hunt hindreth them, except when both the Hunts are together either behind or before: for then the bells omit dodging for the next change, as in Jack-on-both-sides. There are four singles which are all made in the 3d and 4th places every third time that the whole-hunt leads.

21435 25134 32415 53214 54231 34521
24153 52314 23451 35241 45321 35412
42513 25341 32541 53421 43512 53142
24531 52431 23514 54312 34152 51324
42351 25413 32154 45132 31425 15342
24315 52143 31245 41523 13452
42135 51234 13254 14532 14325 15432
41253 15243
15423 41352  
14235 12534 13524 51432 43125  
12453 21354 31542 54123 34215  
21543 23145 35124 45213 43251  

Cambridg Delight. 2 and 4.

In this peal the two hindmost bells always dodg till the whole-hunt hinders them. When the whole-hunt leaves the thirds place hunting up, the two foremost bells dodg till the half-hunt hinders them, whose course is the same with the course of the half-hunt in Grandsire. There are two singles which are made by the same rule as in Grandsire.

13254 15243 14235 45231
31524 12534 41325 42513
13542 21543 43152 24531
31452 25134 34512 25413
34125 52143 35421 52431
43215 51234 53241 54213
42351 15324 52314 45123
24315 51342 25341 41532
23451 15432 23514 14352
32415 14523 32541 13425
34251 41253 35214 31245
43521 42135 53124 32154
45312 24153 35142 23145
54132 21435 53412
51423 12453 54321 23154

Cambridg Delight, another way.
1 and 4.

21354 51234 31524
23145 52143 35142
32415 25413 53412
34251 24531 54321
43521 42351 45231
45312 43215 42513
54132 34125 24153
51423 31452 21435
15432 13425 12453
14523 14352 14235
41532 41325 41253
45123 43152 42135
54213 34512 24315
52431 35421 23451
25341 53241 32541
52314 35214 23514
25134 53124 32154
21543 51342 31245
12534 15324 13254
15243 13542
    13245

In this peal the two hindmost bells always dodg till the whole-hunt hinders, as in the former Peal. When the half-hunt leaves the 3ds place hunting up, the two foremost bells dodg till the whole-hunt hinders. It differeth from the former peal in this; That whereas in that the bells always begin to dodg before when the whole-hunt leaves third’s place, and are parted by the half-hunt; in this they begin to dodg before when the half-hunt leaves the third’s place, and are parted as well before as behind by the whole-hunt. It differeth also, in that the half-hunt in this peal always bobbeth behind on the contrary stroke to what it doth in the former peal; there are two singles, which are made as in the former peal.

The Dream, upon five bells. 1 and 2.

In this peal the two hindmost bells always dodg till the whole-hunt hinders, except when the two Hunts are together before. Or it may be rang by making the two foremost bells dodg always, except the Hunts be together behind. There are six single changes which are all behind every other time the whole-hunt leads, the half-hunt at every single lying either in the 2d or 3ds places.

21435 51342 41235 53142
24153 53124 42153 35412
42513 35214 24513 34521
45231 32541 25431 43251
54321 23451 52341 42315
53412 24315 53214 24135
35142 42135 35124 21453
31524 41253 31542 12543
13542 14235 13524
15324
15342 12534
  14253 51324 &c.

The Contention upon five bells. 1 and 2.

In this peal, the two hindmost bells dodg as in the former peal till the Hunts are together before for twenty changes; and then for the next twenty changes the two formost bells dodg, except the Hunts are together behind. There are six singles which are made as in the former peal.

21435 51342 41523 41235
24153 53124 45132 42153
42513 35214 54312 24513
45231 32541 53421 42531
54321 23451 35241 24351
53412 24315 53214 42315
35142 42135 35124 24135
31524 41253 31542 21453
13542 14235 13452 12543
15324
14325
  14253   12534
      &c.

The Cheat. 1 and 3.

In this peal the two hindmost bells always dodg ’till the whole-hunt hinders, and the two foremost bells dodg ’till either the whole or half-hunt hinders. Or on the contrary, the two foremost bells may dodg ’till the whole-hunt hinder, and the two hindmost ’till either the whole-hunt or half-hunt hinder. Or it may be rang a third way, by joining both these courses together, ringing twenty changes of it one way, and the next twenty changes the other way throughout the peal. There are six singles which are all made behind, every second time the whole-hunt leads; or at pleasure it may be rang with twelve singles, which are likewise all made behind.

21354 41532 31542 51243
23145 45123 35124 52134
32415 54213 53214 25314
34251 45231 52341 23541
43521 54321 25431 32451
45312 53412 52413 34215
54132 35142 25143 43125
51423 31524 21534 41352
15432 13542 12543 14325
14523
15234
  13524   14352
      &c.

Topsie-turvie. 1 and 2.

21354 41532 31542 21453
23145 45123 35124 24135
32415 54213 53214 42315
34251 45231 35241 24351
43521 54321 53421 42531
45312 53412 35412 24513
54132 35142 53142 42153
51423 31524 51324 41235
15432 13542 15234 14325
14523
12543
  13524   14352
      &c.

Jumping Doubles dodging before.

12345 31254 54132 24513 53241 43521
21534 23145 45213 42351 35421 34215
52143 32514 54321 24531 53214 43152
25314 23451 45231 42315 35142 31425
52431 32541 54312 24153 51324 13254
25341 23415 45123 41235 15432
52413 32154 51432 14352 14523 13245
25134 21345 15243 13425 41352 &c.
51243 12453 12534 31542 34125  
15324 14235 21453 53124 43512  
13542 41523 42135 35412 34251  

In this peal every change is a jumping change (in which one bell leaps over two bells at once,) except when the Treble is either behind or before, for then there is always a plain double change made, or else a single at the end of each sixty changes. Treble is a perfect Hunt; the two foremost bells always dodg until the Treble hinder. When the Treble is hunting up, the jumping changes are all made by the bell in the Tenor’s place, jumping into third’s, except only that one when Treble goeth out of second’s place into third’s; for then the bell in the 3ds place jumps into Trebles, where it dodgeth with the bell in the 2ds place till Treble hinder. When Treble is hunting down every jumping change is made by the bell in the 3ds place jumping into Tenor’s, except when it goeth out of third’s place into second’s, for then the bell in Treble’s place jumps into 3ds. And observe always, that when Treble is going to lead the first time, the bell in Tenor’s place jumps into third’s, and the next time the bell in the third’s place into Tenor’s throughout the peal. There are two singles which are made, as in Grandsire.

Jumping Doubles dodging behind.

In this peal Treble is a perfect Hunt, as in the former. The two hindmost bells always dodg till Treble hinders. When Treble is hunting up the bell in thirds place always jumps into Treble’s, excepting only when Treble goeth out of third’s place into fourth’s; for then the bell in Tenor’s place jumps into 3ds. And observe, that every second time the Treble goeth out of 4th into 5ths place, the bell in Treble’s place jumps into 3ds; whereas at other times at the same change the bell in 3ds place jumps into Treble’s. When Treble leaves the 5ths place hunting down, the bell in the 3ds place jumps into Treble’s; when she leaves 4ths place the bell in 3ds place jumps into Tenor’s. When she is either in the 2d or 3ds places hunting down, the bell in the Treble’s place jumps into 3ds. There are two singles made, as in the former Peal.

12345 31425 52143 24513 25341 34251
31254 43152 25314 45231 52431 23415
23145 34215 32541 54321 45213 32154
32514 42351 23451 35412 54132 21345
53241 24531 42315 53124 41523 13254
35421 52413 24153 31542 15432
43512 25134 41235 15324 14523 13245
34125 51243 12453 13542 51432 &c.
41352 12534 14235 51324 45123  
13425 15243 21453 35142 54312  
14352 21534 42135 53214 43521  

Symphonie, upon six bells. 1. 2. and 3.

In this peal are 720 changes, all doubles except twelve singles, which are made as in plain Trebles and Doubles on six bells. The two hindmost bells always dodg till the whole-hunt hinders them, except when a single is made in the 4th and 5th places. When the whole-hunt leaves the 4ths place hunting up, the two foremost bells dodg till it leaves the same place again hunting down: but it may be rang at pleasure to make the bells dodg perpetually before as well as behind, by making in every twelve changes two Trebles, one of them when the whole-hunt leaves the 3ds place hunting up, and the other when it leaves the 4ths place hunting down; so that there will be in the whole peal Sixscore Treble-changes. When the whole-hunt is behind, the four foremost bells dodg; when the whole-hunt is before, the four hindmost dodg.

213465 316254 615342 514623 412536
231456 361245 651324 541632 421563
234165 362154 653142 546123 425136
324615 632514 563412 456213 245316
234651 362541 653421 546231 425361
326451 635241 564321 452631 243561
236415 365214 654312 542613 423516
326145 635124 564132 452163 243156
321654 631542 561423 451236 241365
312645 613524 516432 415263 214356
132654 163542 156423 145236 124365
136245 165324 154632 142563
        124635
        &c.

Grandsire upon Symphonie. 1. 2. and 6.

This peal of Symphonie may be rang with but two single or two treble changes at the end of either Eighteenscore, by ringing it with single and double bobs as in Grandsire Bob. The rule for calling the bobs in this peal is the very same as in Grandsire Bob, but when the bob-changes are to be made, the Hunts do not lie in the same order as in Grandsire Bob; for in this peal at a single bob the whole-hunt leads, the half-hunt in the 5th place, and the quarter-hunt in the 4th place. And at the first bob of a double bob the half-huntis in Tenor’s place, and quarter-hunt in 2ds place; and at the later bob the half-hunt is in the 5th place, and quarter-hunt in 2ds place, just contrary to what it is in Grandsire Bob. I have prickt this peal with two Treble changes in every twelve; so that if you make two Trebles more at the end of either Eighteenscore (which must be made when the whole-hunt is going to lead just two changes sooner than if you should have made a single) there will then be in the whole 720 just Sixscore and two Treble changes.

213465 316254 316542 316425 612354
231456 361245 361524 361452 621345
324165 632154 635142 634125 263154
234615 362514 365412 364215 623514
324651 632541 635421 634251 263541
236451 365241 364521 362451 625341
326415 635214 634512 632415 265314
236145 365124 364152 362145 625134
321654 631542 631425 631254 261543
312645 613524 613452 613245 216534
132654 163542 163425 163254 126543
136245

162345 125634
  136524 136452   &c.

Trebles and Doubles on six Bells with six Singles. 1. 2. and 3.

214365 321456 153462 164352  
241635 234165

 
426153 243615 135426 146532  
462513 426351
145623  
645231 462531 153246
 
654321 645213 152364 154263  
563412 654123
152436  
536142 561432 125634
 
351624 516342 126543 125346  
315264 153624

sing.
132546 bob. 162453 125364  
135264 135642 164235 &c.  
312546

   
    146325    
    bob.    

This peal is taken out of the Dream upon five bells. Every time the whole-hunt is before, there being two changes of that peal made in this. Every bell is a perfect Hunt, when the whole-hunt is before dodg on the four hindmost, except the half-hunt be either in the 5th or Tenor’s place, then always bob as in Grandsire Bob, except the quarter-hunt lieth next to the half-hunt, for then it is always to be a dodg on the four hindmost. Every other time that the whole-hunt and half-hunt come together before, there is single which is always made behind.

A Twelvescore Trebles and Doubles. upon Six Bells.

214365 234165 261453 156423
241356 324156 216435 165243
423165 231465 124653
243156 213456 214635 615234
421365 124365 126453 165324
412356
162435
143265 142635 614253 163542
142356 416253 612435 136452
413265 461235 164253
431256 642153 146235 316425
342165 641235 412653 136245
432156 462153 142563
341265 426135
132654
314256 241653 145236 123564
132465 421635 154326
134256 246153
213546
312465 264135 514362 123456
321456 621453 154632
  624135
 

In this peal the four foremost bells go a four and twenty Doubles and Singles, observing always, That for one Four and Twenty the bell in the Treble’s place is the hunting bell, and for the next the bell in the 4ths place throughout the peal, the two hindmost bells always dodging till the end of the Twenty Four; at which time there is a double made (if the bell in the Treble’s place was the Hunt in the Twenty Four) on the four middlemost; but if the bell in the 4ths place was the hunting bell, the double is to be made in Treble and 2d and 4th and 5th places.

Cambridg Bob.

123456 325416
214365 352146
123465 531264
214356 532146
241365 351264
423156 315246
421365 132564
243156 315264
234516 132546
325461 135264
324516 312546
235461 135246
324561 312564
235416 321546
234561 &c.

The Treble hath a constant dodging course; and when it leaves the two hind bells, they dodg until it comes there again, except when the Treble dodgeth before, and then they lie still. The two middle bells always dodg until the Treble comes there. When the Treble leaves dodging before, every bell leads twice, except when the Treble lieth still behind, and then the two first bells make a dodg. Bobs are made as in Grandsire Bob, and the warning for them the same also with that.