Tintinnalogia

by Richard Duckworth; Fabian Stedman

Here are just Twelve-score Changes already set down, and the Bells may either be brought round, and so make an end at the Twelve-score, or else proceed forward to the end of the Seven hundred and twenty. If the bells are not brought round here, they cannot come round, until the Seven-hundred and twenty Changes are all made, and then they come round in course. To bring the Bells round at the end of these Twelve-score Changes, the Extream is to be made between the 5 and 4, which were the two Bells that made the last Extream Change, and brings them round in their right places again, as appears by these figures

1

2

3

4

5

6

There are but two Extream Changes in every Twelve-score, wherein 'tis constantly observed, that the last Extream Change is to be made between those two Bells which made the first Extream, otherwise the Bells would not come round at the end of the Twelve-score.

Here I have somewhat deviated from my directions before, in making the Extream Changes; for in the last Change, which is 123456, I made the Extream between the two nearest Extream Bells to the quarter Hunt; but the Twelve-score Changes are an imperfect Peal, being only a third part of the Changes which are to be made on six Bells, and therefore not to be brought round, unless the last Extream Change is made out of course. To have proceeded forward in the 720, the last Extream should have been made between the 4 and 6, which are the two farthest Extream Bells from the quarter Hunt, the Change next before the Extream, is 123546; now the 4 and 6 making an Extream Change, the Bells stand thus, 123564; the Extream being made, the whole hunt, half hunt, and quarter hunt are to be hunted as before, and the Extream Changes to be made between the two farthest Extream Bells from the quarter hunt, which course will bring the Bells round in their right places at the end of the 720. In every 720, there are six Extream Changes, there being Six-score Changes between each. The Twelve-score Changes are to be Rang with any whole hunt, half hunt, and quarter hunt, observing to make the last Extream Change between those two Bells which made the first.

The 720 plain Changes are to be rang or set down One thousand four hundred and forty several wayes, by altering the whole hunt, half hunt, quarter hunt, and Extream Bells (but the course of each is the same with that which is before set down) which I thus demonstrate. On 6 Bells, there are 120 several hunts, (viz.) a whole hunt, half hunt, and quarter hunt Six-score several times, and not one and the same whole hunt, half hunt, and quarter hunt twice, as appears by these Figures.—

123 124 125 126 132 134 135 136 142 143 145 146 152 153 154 156 162 163 164 165

213 214 215 216 231 234 235 236 241 243 245 246 251 253 254 256 261 263 264 265

312 314 315 316 321 324 325 326 341 342 345 346 351 352 354 356 361 362 364 365

412 413 415 416 421 423 425 426 431 432 435 436 451 452 453 456 461 462 463 465

512 513 514 516 521 523 524 526 531 532 534 536 541 542 543 546 561 562 563 564

612 613 614 615 621 623 624 625 631 632 634 635 641 642 643 645 651 652 653 654

These Figures stand three and three together, each three represents the three Hunts; that is, the first is the whole Hunt, the second Figure the half Hunt, and the third the quarter Hunt; for Example, the first three are 123, the treble is the whole Hunt, the second the half Hunt, and the third the quarter Hunt: The next three Figures are 124, there the treble is the whole Hunt, the second the half Hunt, and the fourth the quarter Hunt; and the last three Figures are 654, where the sixth is the whole Hunt, the fifth the half Hunt, and the fourth the quarter Hunt, and so of all the rest.

With one whole Hunt, half Hunt, and quarter Hunt, the Seven-hundred and twenty Changes are to be Rang, or set down twelve several wayes; for instance, take the first three Hunts in these Figures, which are 123, where the treble is the whole Hunt, the second the half Hunt, and the third the quarter Hunt, which may be hunted six several wayes, as followeth.

Treble, second and third, all up. Treble and second up, third down. Treble up, second and third down. Treble, second and third, all down. Treble and second down, third up. Treble down, second and third up.

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Each of these are to be Rang two wayes, one is to make the Extreams between the two farthest Extream Bells from the quarter Hunt, and the other way is to make the Extream between the two next Bells to the quarter Hunt.

• Treble, second and third, all up.
• Treble and second up, third down.
• Treble up, second and third down.
• Treble, second and third, all down.
• Treble and second down, third up.
• Treble down, second and third up.