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Campanalogia

Chapter 32: Orpheus.
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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.

Fifty three London-Peals
upon Five, Six, Seven, and Eight
Bells, composed by
F.S.

Crambo.

The changes are all single; it hath a perfect course, and may be prickt many ways.

12345 45312 23514 35142 13254 41325
21345 54312 32514 35124 13245 14325
21435 54132 32154 53124 31245 14352
24135 45132 23154 51324 31425 14532
24153 45123 23145 51342 13425 41532
42153 54123 32145 15342 13452 41523
42135 54213 32415 15432 31452 14523
42315 52413 23415 51432 34152 14253
24315 52431 23451 51423 34125 41253
24351 25431 32451 15423 43125 41235
42351 25413 32541 15243 43215 14235
42531 25143 35241 51243 34215 12435
24531 52143 35214 51234 34251 21453
24513 52134 53214 15234 43251 12453
42513 25134 53241 15324 43521 21543
45213 25314 53421 13524 34521 12543
45231 52314 35421 13542 34512 12534
54231 52341 35412 31542 43512 21534
54321 25341 53412 31524 43152 21354
45321 23541 53142 31254 41352 12354
          12345

The Primrose. 1 and 2.

The treble hath a perfect course as in plain changes. And when it hunts up out of the 2d place it makes two singles together, and the like when it hunteth down. When it leads, the single is in the 3d and 4th places, except when 2 lies next it, and then an extream behind. Every bell (except the treble) leads four times, and lies still behind untill the treble displaceth it, except at the extream.

12345 51432 15234
21435 15342
24135 15432 12543
24315
Extre.
23451 14523 12534
32541 14253
35214
15243
35124 12435 15423
31524 Extre.
13254 12453 14532
13524
14352
31254 14235
32154 14325 13425
32514
13245
35241 13452
53421 13542 12354
54312
Extre.
54132 15324 12345

Orpheus.

12345 14253 34125 54312 32541 52134
13254 41523 43152 53421 23514 51243
13245 41532 43125 53412 23541 51234
31254 45123 34215 35421 25314 15243
31245 45132 34251 35412 25341 15234
32154 54123 32415 53142 52314 12543
32145 54132 32451 53124 52341 12534
23154 51423 23415 51342 25431 21543
23145 51432 23451 51324 25413 21534
21354 15423 24315 15342 24531 12354
21345 15432 24351 15324 24513 12345
12435 14523 42315 13542 42531  
12453 14532 42351 13524 42513  
21435 41352 43215 31542 45231  
21453 41325 43251 31524 45213  
24135 14352 34521 35142 54231  
24153 14325 34512 35124 54213  
42135 13452 43521 53214 52431  
42153 13425 43512 53241 52413  
41235 31452 45321 35214 25143  
41253 31425 45312 35241 25134  
14235 34152 54321 32514 52143  

One change is double, the next single, and so by turns.

New Doubles and Singles. 1 and 2.

One change is double, the next single, and so by turns. The treble hath a direct hunting course up and down as in plain changes, and every time it goeth to lead and leaves leading, the change is double on the two first and two last bells, the rest of the double changes are on the four first. The treble is one of the two bells that makes every single change except when it leads, and then the single is made in the 3d and 4th places; but when the 2 lies next the 1, then an extream is made behind. When the treble leaves the two first bells, they continue slow dogding until treble comes down and displaceth them. Every bell (except the treble) lieth twice in the 3d place.

12345 51324 15234
21354 15342
23154 15432 12543
32514
Extre.
32541 14523 12534
23451 14253
23415
15243
32145 12435 15423
31245 Extre.
13254 12453 14532
13524
14352
31542 14235
35142 14325 13425
53412
13245
53421 13452
35241 13542 12354
35214
Extre.
53124 15324 12345

The Morning Star. 1 and 2.

The treble hath a direct hunting course as in plain changes; and every time it hunts up, it makes two singles together, and the like when it hunts down: when it leads the single is behind, but when 2 lies next it an extream is made in the 3d and 4th places. Every time the treble goeth to lead and leaves leading, the double is on the two first and two last bells, and every bell except the treble leads four times together.

12345 51432 14523 15243
21354 54132 14532
14253
23154 54312
13425 14235
23514 53421 12354 13452
25341 35241 extre.
15324
52431 32514 12534 12543 15342
54213 32154
extre.
54123 31254 14352 12453 12435
51423 13245 14325
extre.
15432 13254
13542 12345
15423
15234 13524  

The Quirister. 1 and 2.

This peal consists most of double changes; the treble hath a direct hunting course as in plain changes, and every time it hunts up and down it makes a single in the 3d and 4th places; and when it leads, the single is behind, but when 2 lies next it an extream is made in the 3d and 4th places.

12345 32514 15234
21354 35241 15243
23145 53421
23415 54312 14352
24351 54132 14325
42531 51423
45213 15432 12543
45123 15423 extre.
41532 51432 12453
14523 54123
14532 54213 15324
41523 52431 15342
45132 25341
45312 23514 14253
43521 23154 14235
34251 21345
32415 12354 13542
32145 extre. 13524
31254 12534
13245
12435
13254 13425 extre.
31245 13452 12345
32154
 

When the treble leaves the two hind bells, they continue dodging untill it comes up again and displaceth them, and then they hunt directly down; the first to lead, and the other into the 2d place: that which moves to lead, having lead four times, gives place to the treble; but when the Treble hath done leading it takes the treble’s place again, and leads four times more and then hunts directly up; the other bell which moved down into the 2d place lies there twice, and then the Treble in hunting down moves it into the 3d place where it lies still, untill the Treble in hunting up moves it back into the 2d place, where having lain twice it hunteth up. This Peal is as musical, easie, and practical as any of this kind that ever was prickt.

The Faulcon. 1 and 2.

This Peal consists most of double changes. The treble hath a direct hunting course as in plain changes, and every time it hunts up and down it makes a single in the 3d and 4th places, and when it leads a single is also made there, but when 2 lies next it the extream is made behind. When the treble leaves the two first bells they continue there until it comes down again and displaceth them, but observe, when the treble moves into the 5th place, and again from thence, the double is on the two first and two last bells, by means of which the two first bells then dodg, but before and after they lie still. Every bell lies twice in the 3d place and then hunts up, except that which lies there when the treble leaves leading.

12345 53241
15243
21354 35421 14235 15423
23145 53412 14325
23415 53142
14532
32451 51324 13452 14352
23541 15342 13542
32514 15432
13425
32154
15324 13245
31245 14523 15234
13254 14253
12354
13524
12543 extre.
31542 12435 extre. 12345
35124 extre. 12534  
35214 12453
 

Merry Andrew.
1 and 2.

One change is double, the next single, and so by turns. The treble leads four times, lies behind four times, and twice in every other place. Every other bell leads four times. When the treble leaves the two hind-bells, they continue dodging untill it comes up again and displaceth them. Every single is made behind until the treble hinders, and then in the 2d and 3d places. When the treble leads and the 2d lies next it, then an extream is made in the 3d and 4th places.

When the treble goes to lead and leaves leading, the double is on the two first and two last bells, and when every other bell goes to lead and leaves leading, the double in on the four first.

12345 51423 23514 15243
21354 15432 32154 15234
21345 15423 32145 12543
23154 14532 31254 extre.
23145 14523 31245 12453
32415 41532 13254
34215 41523 13245 13542
32451 45132 12354 13524
34251 45123 extre. 15342
43521 54213 12534 15324
45321 52413

43512 54231 14352 14235
45312 52431 14325 14253
54132 25341 13452 12435
54123 23541 13425 extre.
51432 25314
12345

May-day. 1 and 5.

One change is double, the next single, and so by turns. When the treble goes to lead and leaves leading, the double is on the two first and two last bells; and when every other bell goes to lead and leaves leading, the double is on the four first.

The treble hath a constant dodging course, for in its hunting up it first makes a dodg in the second and third places, and then another behind, and then it lies still one change in the 5th place; then in its hunting down it makes another dodg behind, and also another in the 2d and 3d places, and then leads four times. So that the treble in one of the two bells that makes every single until it leads, and then ’tis made in the 2d and 3d places, except when the 5th lies behind, and then an extream is made in the 3d and 4th places. When the treble leaves the two hind-bells they continue slow dodging, until it comes up again and displaceth them. Every bell leads four times.

12345 45132 12543
21354 41523 15234
23154 45123 12534
21345 54213
23145 54231 14352
32415 52413 13452
32451 52431 14325
34215 25341 Extre.
34251 25314 14235
43521 23541
43512 23514 15324
45321 32154 13524
45312 31254 15342
54132 32145 13542
51432 31245
54123 13254 12453
51423 12354 14253
15432 13245 12435
14532 Extre. Extre.
15423 13425 12345
14523
 
41532 15243  

St. Dunstan’s Doubles. 1 and 2.

The changes are all double except one single every 2d time the treble leads, there being six in the peal. The treble is a perfect hunt; and every time it goeth to lead and leaves leading, the double is made on the two first and two last bells, at which changes the bells in the 3d place lie still and then move down, and the two hind-bells at the same time dodg: but at other times all the bells have a direct hunting course. When the treble leads, and the 2d lieth either in the 2d or 3d places, then a single must always be made betwixt the two next extream bells to the 2d.

12345 13245 12453
21354

23145 15423 13542
32415 14532 15324
34251

43521 12354 14235
45312 extre. single.
54132 12534 14253
51423

15432 14352 13524
14523 13425 15342
41532

45123 15243 12435
54213 single. Extre.
52431 15234 12345
25341
 
23514 14325  
32154 13452  
31245
 
13254 12543  
single. extre.  

Church Doubles. 1 and 2.

The changes are all double except six singles as the former. The treble is a perfect hunt; and every time it moves up into the 5th place, and also out of it, the double is then made on the two first and two last bells, at which time the bells in the 3d place do lie still and then move up; and the two first bells at the same time dodg. When the treble leads, and the 2d lieth either in the 2d or 3d places, then a single must always be made betwixt the two next extream bells to the 2d.

12345 13254 14325
21435 single.
24153 13245 12543
42513
Extre.
24531 14532 12453
42351 15423
24315
15324
42135 12354 13542
41253 Extre.
14523 12534 14235
15432
single.
51342 13425 14253
53124 14352
35214
15342
53241 15243 13524
35421 single.
53412 15234 12435
35142
Extre.
31524 13452 12345

In this and the former peal the singles may be made in another manner, viz. when the whole-hunt leads, and the half-hunt lieth either in the 4th or 5th places, a single must then be made betwixt the two next bells to the half-hunt; but at other times a double change to be made when the whole-hunt leads, as in the former way.

Stedman’s Principle.

The changes are all double, two singles excepted. One double is made on the two first and two last bells, the next on the four last, and so by turns successively; excepting every sixth change, which is double on the four first bells, and for distinction is called a Parting change. All the bells have a like course. The general method is this; the three first bells go the six changes, and the two hind-bells in the mean time dodg; then a Parting change is made which parts the two hind-bells, moving that in the fourth place down into the 3d, and that in the 3d place up into the 4th, and then the three first bells go the six again, the two hind-bells in in the mean time dodging as before; and then another Parting change is made, and so successively on. Every bell that comes behind continues there dodging six changes with one bell and six with another, and then in course the Parting change brings it down. One six cuts compass, the next doth not, and so by turns successively. In the six which cut compass the two first bells of the three makes the first change of it, but in the other the two last of the three. By this method the peal will go sixty changes, and to carry it on farther extreams must be made. An extream is made by the lying still of two bells when in course they should make a change, as before I have shewed more fully in the Introduction, page 90. but withall observing, that whereas in this peal the bells have all a like course, therefore they may all be termed extream bells, and consequently the extreams to be made according to this general rule, viz. the first extream may be made by any two bells that are in course to make a change within the compass of the first sixty changes of the peal; and the second extream must be made according to this rule. Whatsoever two bells are dodging behind at the first extream, when the same two bells come to dodg there again, is a certain warning for the second extream to be then made. And observe, how many changes the first extream is made from a parting change; so many likewise must the last extream be made after a Parting change also. And the single and extream comes in course each of them to be made in the same place and by the same bells at the last extream, as they were at the first. Here the singles are made behind, and the extreams in the 2d and 3d places; and as the 4th and 5th bells do dodg behind at the first extream, so likewise when they come to dodg there again, the second extream is then made, the treble leading at both of them, as appeareth in the peal here prickt.

12345 42135 52431 24513 51324
21354 41253 25341 42153 15342
23145 14523 52314 24135 13524
32415 41532 53241 21453 31542
23451 45123 35214 12435 35124
24315 54132 32541 14253 53142
42351 51423 23514 41235 35412
43215 15432 32154 14325 34521
34251 51342 31245 13452 43512
43521 53124 13254 31425 45321
45312 35142 extre. 34152 54312
54321 31524 13245 43125 53421
53412 13542 31254 41352 35241
35421 15324 32145 14532 53214
34512 51234 23415 41523 52341
43152 15243 32451 45132 25314
34125 12534 34215 54123 23541
31452 21543 43251 51432 32514
13425 25134 42315 15423 23154
14352 52143 24351 51243 21345
41325 25413 42531 52134 12354
14235 24531 45213 25143 extre.
12453 42513 54231 21534 12345
21435 45231 52413 12543  
24153 54213 25431 15234  

The first Parting change is here made the third change at the beginning, and that six cuts compass.

In all the several ways of ringing this peal, if the Parting changes are made at the fore-stroke, as in course they are in this here prickt, then cutting compass is always on the same sixes, as in this peal: but when the Parting changes are made at back-stroke, then the contrary six always cuts compass to what doth here.

Peals upon Six Bells.

The single Method.

The changes are all single, and treble is the hunt. When the treble moves up out of the 2d place, the two first bells continue slow dodging untill the treble comes there again. And when the treble moves down out of the fourth place, the two hind-bells likewise continue slow dodging until the treble comes there again. When the treble leads, (if ’tis rung at half-pulls) the fore-stroke change (that is, at the third stroke of the treble’s leading) is made in the 3d and 4th places, the rest of the changes there are made behind. By this method it will go sixscore changes.

123456 135264 164253
213456
164235
213465 153642
231465 153624 146352
231456
146325
321456 135624
324156 135642 164325
234156
164352
234516 153426
324516 153462 146523
324561
146532
234561 135462
235461 135426 164532
325461
164523
325416 153264
235416 153246 146235
235146 152346 146253
325146 152364 142653
321546
142635
312546 125643
312564 125634 124356
132564 126534 124365
132546 126543 123465
135246
123456
  162435  
  162453  

To ring 240. When the whole-hunt leads, and the half-hunt dodgeth behind; the fore-stroke change must then be made in the 2d and 3d places, as in this here prickt, where the 2d is the half-hunt and there are little marks set at the fore-stroke changes.

To ring 360. When the whole-hunt leads, and the half and quarter-hunts dodg behind, the fore-stroke change must then be made in the 2d and 3d places as before.

To ring 720. When the whole-hunt leads, and the half-hunt dodgeth behind, the fore-stroke change must then be made in the 2d and 3d places as before, except the quarter-hunt dodgeth there with the half-hunt, and then in the 3d and 4th places as at other times. The 2d an 4th, or the 2d and 6th may be the half and quarter-hunts, or others at pleasure.

Note, in all the following peals upon six bells, the bobs are double changes, and always made at the leadings of the whole hunt (except No-nsuch Bob, for there the Bobs are made at the change wherein the whole-hunt goeth to lead, and not when it doth lead.) And whereas in the following peals the directions for calling bob runs thus; viz. Every time the half-hunt dodgeth behind, a Bob must then be made, &c. ’tis there implied, That whereas every time the whole-hunt leads, the two hind-bells then dodg; therefore when the half-hunt dodgeth there at the leading of the whole-hunt, a bob must then be made. And in like manner also must all the bobs in the following peals be made at the leading of the whole-hunt. He that rings the half-hunt may best call bob in all peals.”

A Cure for Melancholly.

Doubles and Singles. The Treble is the whole-hunt which leads four times, lieth behind as many, and twice in every other place. When it moves up out of the fourth place, the two bells in the third and fourth places continue dodging until it comes down there again, and then the two hind-bells dodg until the Treble displaceth them. The Treble is one of the bells which maketh every double change, except when it lieth still behind, and then the double is on the four first, and also when it leads the double is on the four last. Every single is made in the fifth and sixth places, except when the Treble lieth there, and then in the third and fourth places. Every bell except the Treble lieth four times in the second place. By this method it will go sixscore changes, but by making of bobs it will go 240, 360, or 720. The bob is a double change at the leading of the Treble, wherein the bell in the fourth place lieth still.

123456 134625
213465
213456 162345
231465 162354
231456 163245
234165 163254
234156
243516 125634
245316 125643
243561 126534
245361 126543
423561
425361 154263
423516 154236
425316 152463
452136 152436
452163
451236 143526
451263 143562
415236 bob
415263 134526
145236 134562
145263
142536 156423
142563 156432

bob
156423 165423
156432 165432
bob
165423 132654
165432 132645

136254
143652 136245
143625
bob 124365
134652 124356
  123465
  123456
 

To ring 240. Every time the half-hunt dodgeth behind, a bob must then be made as in this here prickt, where 2 is the half-hunt.

To ring 360. Every time the half and quarter-hunts dodg together behind, a bob must then be made.

To ring 720. Every time the half-hunt dodgeth behind a bob must then be made, except the quarter-hunt dodgeth there with it, and then not.

2 may be the half hunt, and 4 the quarter hunt, or others at pleasure.

The Morning Exercise.

Doubles and singles. The treble is the whole hunt, and hunteth up into the 2d, 3d and 4th places, lying twice in each; then having made a dodg behind, it lyeth still in the sixth place, and then makes another dodg behind, and so hunts down in the same manner as it hunted up, and then leads four times. When the Treble moves down out of the fifth place, the two hind-bells dodge untill it comes up there again; during which time the bell in the 4th place lieth still. And when the Treble moves up out of the second place, each bell that comes there lieth four times, until the Treble comes down there again. Every single is made behind. By this method it will go 120 changes; and by making of bobs it will go 240, 360, or 270. At the bobs the bell in the 2d place always lieth still.

123456
142365
213465 164352 142356
213456 164325
231465 bob 146532
231456 163452 146523
234165 163425 bob
234156
145632
243516 165243 145623
243561 165234
245316 156243 143265
245361 156234 143256
254631
134265
254613 154326 134256
256431 154362
256413 bob 136524
265143 153426 136542
265134 153462 bob
261543
135624
261534 152643 135642
216543 152634
216534 125643 132465
126543 125634 132456
126534
123465
162543 124365 123456
162534 124356  

To ring 240. Every time the half-hunt dodgeth behind, a bob must then be made, as in this here prickt, where 2 is the half-hunt.

The warning for the bobs in the 360 and 720, is the same with that in the peal next before: 2 may be the half-hunt, and 4 the quarter-hunt, or others at pleasure.

The City Delight.

Doubles and Singles. Treble is the whole-hunt, and lieth four times before, four times behind, and twice in every other place. When it moves up out of the third place, the singles are made in the second and third places until it comes there again, and then behind until it moves up again out of the third place. When it moves down out of the fourth place, the two hind-bells dodg until it comes up there again, during which time the bell in the fourth place lieth still. By this method it will go 120, and by making of bobs it will go 240, 360, or 720. At the bobs the bell in the second place always lieth still; and the warning for them is the same with that in the two last peals. In the 240 here prickt, 2 is the half-hunt; and in the 360 or 720, the 2 and 4 may be the half and quarter-hunts, or others at pleasure.

123456 265143 153462 126534 143256
213465 256143
126543 134265
213456 251634 156234
134256
231465 251643 156243 124365
231456 215634 165234 124356 135642
234165 215643 165243 142365 135624
243165 125634
142356 bob
234165 125643 164352
136542
243615 152634 164325 145623 136524
246351 152643 bob 145632
264351
163452 bob 132465
246531 154326 163425 146523 132456
264531 154362
146532 123465
265413 bob 162534
123456
256413 153426 162543 143265  

London Nightingale.

Doubles and Singles. Treble is the whole-hunt, and lieth four times before, four times behind and twice in every other place. When it moves down out of the 5th place, the two hind-bells continue dodging until it comes there again, during which time the bell in the fourth place lieth still. And when the two hind-bells leave dodging then the two first bells dodg until the hind-bells dodg again, and then they cease. By this method it will go 120; and by making of bobs it will go 240, 360, or 720. At the bobs the bell in the second place always lyeth still; and the warning for them is the same with that in the preceding peals. In the 240 here prickt, 2 is the half-hunt; and in the 360 or 720, the 2 and 4 may be the half and quarter-hunts or others at pleasure.

123456
163245
213465 126543 163254
213456 126534
231465 162543 125634
231456 162534 125643
234165
152634
234156 153624 152643
243516 153642
423516 bob 164523
243561 156324 164532
423561 156342 bob
245361
165423
425361 134562 165432
245316 134526
425316 bob 143652
452136 135462 143625
452163 135426 bob
451236
146352
451263 142356 146325
415236 142365
415263 124356 132465
145236 124365 132456
145263
123465
154236 136245 123456
154263 136254