The 720 changes may be rung one thousand nine hundred and twenty several ways, which is thus demonstrable. There are six times five figures to be produced out of six, and not twice five the same: as 12345. 12346. 12356. 12456. 13456. 23456. and with each five the _sixscore_ changes may be prickt one hundred and sixty ways, as before I have shewed on five bells. Now to each five add the sixth figure which is wanting, as to 12345 add 6, to 12346 add 5, to 12456 add 3, to 13456 add 2, and to 23456 add 1. And the sixth figure which is added, being hunted through all the several _sixscores_ which the other five figures make; for instance, the 6 through the 160 several _sixscores_ which 12345 make, and the 5 also through the 160 several _sixscores_, which 12346 make, and the like of the rest; will produce as many _seven hundred_ and _twenties_ as there are _sixscores_, that is, six times one hundred and sixty, which amounts to nine hundred and sixty. Then the note that hunts through the other five, may hunt two ways through each _sixscore_, that is, up and down, which will double the former number, and make nineteen hundred and twenty in the whole. [Illustration: [Fleuron]] AN INTRODUCTION to the Knowledge of _CROSSE PEALS_. These Peals are term’d _cross_ in respect of their intricate methods; wherein several notes moving at one and the same time, do thwart or _cross_ each other in their course and motion, some moving up, others at the same time down, gives this Denomination to the Peals. The end of pricking them is to make the compleat number of changes by a method differing from that of other Peals. For although five can be varied but 120 ways, and six but 720 _&c._ yet the methods by which they are varied, are differing, according to the several fancies of the Artist. And as order and method are the only _basis_ on which this Art is founded; so the skilful Artists, the better to effect the aforesaid end, have thought fit in most peals to appoint one note to be as it were a Helm or Rudder, by which the course of the peal is steered; which note is term’d a _Hunt_, and hath one constant uniform motion throughout the peal, differing from that of the other notes. The manner of its motion is continually through the other notes, that is, from leading to strike behind, and from thence again to lead, which motion, first up and then down, is term’d one compleat Course. Some peals upon five bells, as _old Doubles_, _&c._ consist of single Courses; there being ten changes in every single Course, and twelve of those Courses in the peal. Other peals upon five bells, as _London Paradox_, _&c._ consist of double Courses; there being twenty changes in every double Course, and six of those Courses in the peal. Upon six bells there are also single and double Courses, _viz._ twelve changes in every single Course, as in