Compare the following two methods:-
Plain Bob Double Oxford 123456 + 123456 + 214365 - 214365 - 241635 - 241356 - 426153 + 423165 + 462513 + 243615 + 645231 - 426351 - 654321 - 243651 - 563412 + 426315 + 536142 + 246135 + 351624 - 421653 - 315264 - 412635 - 132546 + 146253 + 135264 + 142635 (I)
It will be observed that the nature of the rows occurs in the same order in both methods and is the same with the treble in the same position ascending and descending; i.e. with the treble in 1st, 4ths and 5ths the rows are all +ve, and with the treble in 2nd, 3rds and 6ths the rows are all -ve. In a 360 without singles both methods will, therefore, have consumed identical rows.
Now if two plain methods, such as these, have the nature of rows in the same sequence, and have the same place made at the lead-ends (i.e. both 2nds or both 6ths) a change can be made from one to the other at the half-way single. The calling need not be the same in both halves, but each must be produced by bobs alone and the final single in each half must be substituted either for a bob lead or a plain lead in both cases.
Dia. (II) is an example with the 6th observation in the first half and the 5th in the second.
Arrangements can be made so that the method is changed every time a single is called, Dia. (III) is such an arrangement.
1st Half Plain Bob 720 2nd Half Double Oxford 23456 24356 - 23564 - 63245 36245 26534 64352 52463 45623 45326 - 45236 - 63452 - 45362 - 24635 56423 62543 62534 56324 23645 35462 34256 43256 (II) Twice repeated: Single at Twice repeated: Single at the end. the end. 1st Half 720 2nd Half 23456 Double Oxford 32456 Plain Bob 42635 " " S 23564 Double Oxford 64523 " " 52436 " " 56342 " " 45623 " " S 32564 Plain Bob 64352 " " 26345 " " 36245 " " 64253 " " S 25364 Plain Bob 45632 " " 56243 " " 53426 " " 64532 " " S 35264 Double Oxford 43625 - 42356 - 43256 (III) Each half twice repeated. Singles for bobs halfway and end.
Observe that in the "In-course" sections (Double Oxford in this example) the tenors are three courses together (in the 1st Half) and Three courses separated (in the second half). Any calling, that gives each method 360 rows each and keeps them on opposite sides of the singles, may be used.
Here is a list of Plain methods that will splice in opposite halves, although the student should have no great difficulty in working them out for himself.
( (1) Plain, Double, Oxford Bob, Double Oxford, Hereward, ( St. Clements. ( (2) Reverse, Court, London Bob, Double Court, College. ( (3) St. James' Youths' Exercise, Frodsham, Horsmonden, ( Cumberland. ( (4) Killarney, Ennerdale. (5) Bala, Roydon, Windermere, Brentford. ( (6) Stepney, Fulbeck, Thelwall, Childwall. ( (7) Stedman, Canterbury, Lytham, Wavertree.
Any methods in the same group will splice in opposite halves. Those bracketed together have the nature of the rows occurring in the same sequence and some can be used together in the same 720 in certain special opposite half arrangements. See Pl 2 and Pl 3.
Plain Bob Reverse Bob Double Bob LH 123456 LH 123456 LH 123456 214365 214365 214365 241635 241635 241635 426153 426153 426153 462513 462513 462513 645231 645231 645231 654321 462531 462531 563412 645213 645213 536142 654123 654123 351624 561432 561432 315264 516342 516342 LE 132546 LE 153624 LE 153624 LH 135264 LH 135264 LH 156342 (IV)
If we regard a course of Plain Bob as ten half-leads, we shall find that the pattern, working backwards from the lead-ends, is the reverse of that working forwards from the lead-heads. This pattern is identical in both Reverse and Double Bob, so that, seeing the lead-heads and lead ends are the same in all three methods in a complete course, the rows must be identical as each method can be regarded as a different arrangement of the ten half-leads.
With Reverse and Double Bob (and similar methods) the two leads are identical until the treble leads full when a 6ths place is made in one method and a seconds place in the other. A course of Reverse or Double Bob, therefore, may be regarded as a different arrangement of the five leads of which the course is constructed, which are joined together at the lead-end/lead-heads either as 6ths, 6ths, 6ths, 6ths and 6ths in the case of Reverse and 2nds, 2nds, 2nds, 2nds and 2nds in the case of Double.
There is, however, another way of fitting these 5 leads together which is called Parker's Arrangement after J.W. Parker who, presumably, first used it. In the case of Reverse and Double Bob this is 2nds, 6ths, 6ths and 2nds, but there are two general arrangements depending upon whether the first lead-end is 53624 or 46253.
Dia. (V) is a list of Plain methods that can be so treated:-
(1) Lead-ends 53624, methods H and L 23456 Double Bob Oxford Bob Fulbeck Bob Cumberland Bob 53624 2nds ----- 56342 Reverse Bob Court Canterbury Ennerdale 46253 6ths ----- 64523 " " " " 24365 6ths ----- 42635 Double Bob Oxford Bob Fulbeck Cumberland 32546 2nds ----- 35264 " " " " (V) 65432 (2) Lead-ends 46253. Methods K and N 23456 London Bob College Lytham Killarney Wavertree 46253 6ths ----- 64523 Double Oxford St.Clements Thelwall Horsmonden Childwall 53624 2nds ----- 56342 " " " " " " 32546 2nds ----- 35264 London Bob College Lytham Killarney Wavertree 24365 6ths ----- 42635 " " " " " 65432 (VI)
The initial lead-head of the course and final lead-end are the same in both cases, i.e. the transposition from first to last row is 65432.
If a bob is called at the end of the course and the whole repeated a round block of two courses is formed. The Bobs, however, are usually called with the tenor in 4ths place and these two courses with a shunt bob are often used.
720 720 23456 Double Bob 23456 London Bob - 35642 " " 64523 " " 42563 Reverse Bob - 35642 " " 26435 " " 26435 Double Oxford 63254 Double Bob 42563 " " 54326 " " 54326 London Bob - 42635 " " 63254 " " 35264 Reverse Bob - 42635 " " - 56423 " " - 56423 Double Oxford 62534 Double Bob 45362 " " 34256 34256 (VII) Each 5 times repeated. Singles half-way and end.
From the list previously given it can be seen that Oxford Bob and Court, or Fulbeck and Canterbury, or Cumberland and Ennerdale could be substituted for Double and Reverse respectively, and College and St. Clements, or Lytham and Thelwall, or Killarney and Horsmonden, or Wavertree and Childwall could be substituted for London Bob and Double Oxford.
The splice is eminently suitable for opposite half splicing (Pl 1) and examples are given on p. 125 C.C.C. No. 316 and 316a or 316b, but by coupling the information in Pl 1 and Pl 2 the student will be able to construct many more.
There is no similar arrangement for methods which have as their first lead-end 65432, 24365 or 32546.
It may be worthwhile pointing out, as a practical hint both in ringing and pricking out, that the 6th in either arrangement never makes a 2nds place or lies a 6th at the lead-ends.
A. Relfe's arrangement (see T.B. 2) can also be used for splicing many plain methods but it is not so versatile as Parker's, The principles of its construction are the same as Parker's.
It was pointed out in the previous section that Plain Bob, Reverse Bob and Double Bob contain the same rows in a complete course. Where this is so, and two methods have the same place made at the lead-end (i.e. both 2nds or both 6ths), then wherever there is a complete course available between two calls in one method the other may be substituted, see Dia. (VIII)
Plain Bob Plain and Double Bob 23456 23456 Plain Bob 32546 32546 - 23564 ) ( - 23564 Double Bob 32654 ) ( 63425 36245 ) ( 64352 " " 63425 ) Plain Bob ( 54263 64352 ) changed to ( 52436 " " 46532 ) Double Bob ( 32654 45623 ) ( 36245 " " 54263 ) ( 46532 52436 ) ( 45623 " " 25346 ) ( 25346 S 25364 S 25364 Plain Bob 52634 52634 56243 56243 " " 65423 65423 64532 64532 " " 46352 46352 43625 43625 " " S 34265 34265 34256 S 34256 (VIII)
The initial and final rows of a complete course are always related as follows:
2nd Place method 23456 L.H. 6ths place method 23456 L.H. 24365 L.E. 32546 L.E.
this is so no matter what order the L.H.'s and L.E.'s are in between.
The following pairs of plain methods will course splice with each other.
Plain Bob and Double Bob, Double Oxford and Hereward Bob, Double Court and London Bob.
The following interesting extent by C.K. Lewis shows a combination of course and opposite half splicing. (Dia. IX)
720 in 4 plain methods by C.K. Lewis 23456 Court 32456 D. Court 42653 Hereward - 63542 Court 35264 " 56243 " S 35642 Oxford Bob 34625 " 56342 " 43625 " 42563 " 42356 S 64253 Hereward 25364 " 63254 " 32564 " - 64325 Hereward 54326 " Twice - 64532 D. Court 53264 " 26435 " repeated (IX)
By this arrangement, complete courses of 2nds and 6ths variations of methods that have the same rows in a lead, are incorporated.
If we compare College with London Bob we find:
College London Bob 123456 + 123456 + 214365 - 214365 - 241635 - 241356 - 426153 + 423165 + 246513 + 243615 + 425631 - 426351 - 245361 - 243651 - 423516 + 426315 + 243156 + 246135 + 421365 - 421653 - 412635 - 412635 - 146253 + 146253 + 164523 + 164523 + (X)
Now, if the three in-course leads with 2 and 4 fixed in this position (i.e. 123456, 125463 and 126435), are written out in full in both methods, it will be found that the same rows are used, though some of them will be in different leads. A similar exchange of three leads could, of course, occur on the out-of-course side of the single. Any of the ten pairs, 2-3, 2-4, 2-5, 2-6, 3-4, 3-5, 3-6, 4-5, 4-6, 5-6, could be used, or more than one pair of bells, each exchanging three leads, if necessary or desirable.
316 c in C.C.C. 1961 gives an extension of the two previous splices by using three pairs of bells 2-3, 2-4, and 3-4 on a 3-lead splice basis, giving nine leads in all in the three parts in which they appear.
It may be as well to emphasise that the order of the nature of the rows must be identical. If, for instance, an attempt was made to 3-lead splice College and Wavertree by choosing the three leads in which the 3rds place bell and 6ths place bell do identical work, falseness would occur as the order of +ve and -ve rows is different. Note that:
College ) will 3-lead splice with ( London Bob St. Clements ) ( Double Oxford Lytham ) will 3-lead splice with ( Wavertree Thelwall ) ( Childwall
The incidence of the 2nd or 6th place made at the lead-end/ lead-head does not, of course, affect the truth of the splice, and therefore by using Parker's arrangement for the basic extent 2nds and 6ths lead-ends often appear in the same 3-lead splice. e.g. (Dia. (XI)
360 23456 London Bob (College in Parts 2 and 3) 64523 College - 35642 " 26435 Double Oxford (St. Clements in Parts 2 and 3) 42563 St. Clements 54326 College 63254 " - 42635 " - 56423 St. Clements 45362 St. Clements (Double Oxford in Part 2) 34256 Twice Repeated (XI)
In Dia. (XI) 2 & 4 are the fixed bells and by substituting into both College and St. Clements it is possible to include both London Bob and Double Oxford. Appropriate singles would, of course, turn the 360 into a 720.
Compare these two leads of Reverse Bob which occur on opposite sides of a single, with two leads of Canterbury Bob using the same lead-heads and lead-ends. (Dia. XII)
Reverse Bob Canterbury Bob 123456 + 153426 - 123456 + 153426 - 214365 514362 214365 514362 241635 541632 241635 541632 426153 456123 426153 456123 462513 465213 462513 465213 645231) ----> (642531 642531) ----> (645231 462531) <---- (465231 465231) <---- (462531 645213 642513 645213 642513 654123 624153 654123 624153 561432 261435 561432 261435 516342 216345 516342 216345 153624 123654 153624 123654 135264 132564 135264 132564 (XII)
As can be seen from the figures, with the exception of the two central rows, the two pairs of leads are identical. By mutually exchanging these two rows the two leads of Reverse become two leads of Canterbury. Similarly, the two leads of Canterbury can be changed to two leads of Reverse. Any two leads can be selected for this type of exchange so long as they are on opposite sides of the single and that the transposition of the lead-heads, or lead-ends, from one to the other is 53426.
It may be as well to emphasise here the advantages of writing out leads by their lead-heads and lead-ends. It is possible, in this case, in complicated spliced arrangements, that one of the leads has been used in reverse order; e.g. in the above example 23654 may have been used as a lead-head and 53426 as a lead-end, in which case, if only lead-heads had been used in pricking out, 53426 will be searched for in vain.
The important thing to remember in this type of cross-splice is that the pivot-bell (i.e. the bell that makes a place in 1st, 3rds, or 5ths as the treble lies behind), must be the same bell in the same position in both cases, and that the other two pairs of bells which are crossing at this junction must also be the same and crossing in the same places.
In the case of Reverse and Canterbury given here for instance, the 3rds place bell is the pivot bell making 5ths and the 4th and 6ths place bells cross on the front in both cases. If these are regarded as fixed bells then the other two can be left to look after themselves as they must be crossing in 3-4. It will be noticed that if we check the complementary leads in this manner it does not matter whether we compare lead-ends and/or lead-heads as the pivot bell will be in the same position and the crossing bells will have exchanged places but still be in the same relative positions.
In some methods, although the fixed bells may be in the same position at the half-lead they may be in a different one at the leads; compare the following methods: (Dia. XIII)
Reverse Bob London Bob Canterbury Lytham 123456 + 145632 - 123456 + 145632 - 214365 416523 214365 416523 241635 461532 241635 461532 426153 645123 426153 645123 462513 465213 462513 465213 645231) -----> (642531 642531) --------> (462531 462531) <----- (465231 465231) <-------- (645231 645213 642513 645213 642513 654123 462153 654123 462153 561432 641235 561432 641235 516342 614253 516342 614253 153624 162435 153624 162435 135264 126345 135264 126345 (XIII)
By a mutual exchange of rows a lead of Reverse and one of London Bob become Canterbury and Lytham respectively. It will be seen that the pivot bell (the 3rd) is in 3rds place in Reverse and 5ths place in London at the lead-ends (lead-heads), and the bells in 1-2 at the half-lead are in 4ths and 6ths in Reverse and 2nds and 4ths in London at the leads. It is probably better to compare the positions of the fixed bells in this manner (either mentally or by actually writing out or comparing figures), then to rely on the transpositions of lead-ends or lead-heads.
Of course, the incidence of 2nds or 6ths at the lead-ends does not affect the truth of the splice and the splices on page 13 could well have applied to Double Bob, Double Oxford, Fulbeck and Thelwall. The following table should make this clear:
Leads on opposite Cross-spliced Leads on opposite sides of Single will Produce sides of single (Reverse + Reverse (Canterbury + Canterbury 1 (Reverse + Double (Canterbury + Fulbeck (Double + Reverse (Fulbeck + Canterbury (Double + Double (Fulbeck + Fulbeck (College + College (Wavertree + Wavertree 2 (College + St. Clements (Wavertree + Childwall (St. Clements + College (Childwall + Wavertree (St. Clements + St. Clements (Childwall + Childwall (London + London (Lytham + Lytham 3 (London + Double Oxford (Lytham + Thelwall (Double Oxford + London (Thelwall + Lytham (Double Oxford + Double Oxford (Thelwall + Thelwall 4 Frodsham + Frodsham Windermere + Windermere (Reverse + London (Canterbury + Lytham 5 (Reverse + Double Oxford (Canterbury + Thelwall (Double + London (Fulbeck + Lytham (Double + Double Oxford (Fulbeck + Thelwall
It should be remembered that although the two leads on the left will, with cross-splicing produce the two on the right, the converse also applies.
An interesting splice can be performed with two leads on the same side of the single. viz.
Leads on same Cross-spliced Leads on same side of single will produce side of single Reverse, or ) Canterbury, or ) Double, or ) + Frodsham Fulbeck, or ) + Windermere London, or ) Lytham, or ) Double Oxford ) Thelwall )
For an example of the application of this splice see dia.(LVI) where Frodsham and Reverse are changed into Windermere and Canterbury, the respective lead-heads being 56324 and 24635, with 5-6 on the front and the 4th as pivot-bell. A similar exchange takes place in the 720 in dia. (XVII) with Double Bob instead of Reverse; column B.
The methods in group 2 will not normally cross-splice with those in group 3, the following device may, however, be adopted. Let us assume that we have London Bob and Double Oxford in a 720 of Parker's arrangement from which we select three leads on one side of the single and three on the other with the same bells fixed in 2nds and 4ths thus:
In-course Out-of-course London London Double Oxford Double Oxford London London
Seeing that the same two bells are fixed in 2-4 these six leads by cross-splicing become:-
Lytham Lytham Thelwall Thelwall Lytham Lytham
Now we can 3-lead splice Wavertree and Childwall as previously explained with the final result thus:
Wavertree Lytham Childwall Thelwall Wavertree Lytham
Once the principle is understood the middle step may be omitted. By this means Lytham and Thelwall may be similarly introduced into College and St. Clements.
A similar rule may be applied where London and Double Oxford occur on one side and Reverse and Double on the other side of the single. Three leads of London or Double Oxford are selected with two bells fixed in 2-4. These are cross-spliced with Reverse and Double to convert them into Lytham and Thelwall. A three-lead splice finally changes them into Wavertree and Childwall. Where the two methods are College and St. Clements instead of London and Double Oxford a three-lead splice changes these into London and Double Oxford which are then cross-spliced with Reverse and Double to produce Lytham and Thelwall. With practice the intermediate steps may be dispensed with.
For this and the following splice (Pl 7) we are indebted to Mr. C.K. Lewis. Examine Dia. (XIV)
Double Oxford Plain Bob Frodsham Horsmonden 123456 + 124635 - 124635 - 123456 + (214365 216453 + 214365) 213465 + (241356 261543 + 241356) 231645 + (423165 625134 - 423165) 326154 - (243615 652314 - 243615) 362514 - A (426351 563241 + 426351) A 635241 + (243651 536421 + 243651) 365421 + (426315 354612 - 426315) 634512 - (246135 345162 - 246135) 643152 - (421653 431526 + 421653) 461325 + (412635 413256 + 412635) 416235 + 146253 + 142365 - 142365 - 146253 + 142635 143256 143256 142635 (XIV)
If the leads of Double Oxford and Plain Bob are changed into Frodsham and Horsmonden it will be seen that the interior of Double Oxford is transferred bodily into the lead-head and lead-end that was originally Plain Bob and becomes Frodsham. Although the interior of Plain Bob does not in like manner transfer to the interior of the lead-head and lead-end that was originally Double Oxford, on inspection two important facts are apparent. (a) The sequence of the transferred rows is identical and (b) The position of the 2nd and 4th bells is the same in both cases. If, therefore, the three leads were selected with the 2nd and 4th fixed in this position the result would be equivalent to a 3-lead splice.
What is true of Double Oxford (London) also in this case applies to St. Clements (College), as three leads with two bells fixed in 2-4 is in fact a three-lead splice between these two methods. The result of these exchanges may be summarised as follows.
On one side of Single On opposite side of Single Double Oxford (London) ) (Plain Bob or St. Clements ) + ( 3 leads with two bells fixed) (3 leads with same two bells in 2-4 ) ( fixed in 2-3 may be changed to:- 3 leads of Horsmonden (or Killarney) + 3 leads of Frodsham.
It should now become clear why, in the section on cross-splicing, (Pl 5), Frodsham was cross-spliced with a method on the same side of the single to produce Windermere, for whereas Double Oxford would have cross-spliced with a specific lead on the other side of the single to produce Thelwall, the lead of Frodsham that has "borrowed" the rows from the interior of the lead of Double Oxford must cross-splice with the same lead in order to be changed into Windermere. For an application of this splice see dia. (XVII)
In this splice the exchange of rows is similar to that of the preceding one. The student will do well to write out the leads in question and compare them with the last splice. Here is the splice summarised in the same manner:-
On one side of the Single On the opposite side of the Single St. Clements (College) ) (Double Bob (Reverse) 3 leads with two bells ) + (3 leads with the same two bells fixed in 3-6 ) (fixed in 4-6 may be changed into:- 3 leads of Horsmonden (Killarney) + 3 leads of Cumberland (Ennerdale)
Both Pl 6 and Pl 7 are illustrated in Mr. C.K. Lewis's 720 in diagram XVII.
This could be called "Pattern" splicing, or "a new use for old methods." Consider Dia. (XV)
(I) (II) (III) ----------- London New Bob 23456 Double Bob X X X 123456 53624 | X X | 214365 56342 Plain Bob X X X 241635 65432 | X X | 426153 64523 " " X X X 462513 46253 X | X | 645231 42635 Double Bob X X X 465321 32546 | X X | 643512 35264 St.Clements X X X 634152 24365 | X X | 361425 23456 X X X 316245 | X X | 132654 136245 (XV)
In the course in (I) above it will be found that the 6th follows the "pattern" marked out on the grid in (II). This pattern is the one it would follow if it was ringing the method "London New Bob", (III) a method some two and a half centuries old. Further examination reveals that in (I)
(a) Plain Bob is rung with the 6th in 2nds or 3rds place (b) Double Bob " " " " " " 4th or 6ths place (c) St Clements is rung with the 6th in 5ths.
Seeing that in these methods the sequence of In and Out-of-Course rows is the same there will be no falseness so long as the 6th adheres continuously to the routine set out in (a), (b) and (c) above. Of course any bell could be substituted for the 6th so long as it was used as the pattern bell throughout.
The following four courses shows a combination of the grid with opposite half splicing, Pl 1, occurring between the Singles. (Dia. XVI)
C. K. Lewis's Arrangement 23456 Double Bob 32645 St. Clements 53624 65342 56342 Plain Bob 63524 " " 65432 54623 64523 " " 56432 " " 46253 42536 - 64235 " " - 24563 College 46325 53264 - 64352 " " 35624 " 46532 64325 45623 Reverse Bob 46235 " 25346 25436 52436 " " 52346 " 32654 36542 23564 College 63452 St. Clements 54263 42653 S 45263 St. Clements S 42635 Double Bob 23465 32546 24356 " " 35264 St. Clements 36254 24365 23456 (XVI)
This touch could, by means of a shunt bob at the end of the 9th or 20th leads, be extended into a 720 with the 6th and 5th as observation and sub-observation bells, and as the former will be found on p.122, C.C.C. 1961, No. 307.
Notice slight inaccuracies here; the methods immediately preceding the second single should be P.7 in 307 and P.4 in 308, 309, 310 and 311 in order that the places should be made in 2, 3 and 4 at the Single.
There are ten leads, and therefore 20 half-leads each of both In and Out-of-Course rows and the observation and sub-observation bells must not fall twice into the same relative positions in either the In-Course or Out-of-Course sections. This means that the two courses of grid-splicing and the two courses of opposite half splicing between the Singles will each have the 5th and 6th 10 half-leads coursing and 10 half-leads separated. This is easy to see between the Singles with the two complete courses but requires a closer inspection where the courses are split up as in the grid.
The matter is further discussed in the closing sections of the book.
The dia. (XVII) is a 720 developed by C.K.Lewis over a number of years, illustrates most of the splices dealt with in this section, and is a fitting conclusion to it. Dealing first with column A in 13 methods we notice that it is a 3-part extent with opposite half splicing. The two courses between the Singles could be regarded basically as St. Clements and College, a course of 2nds followed by a course of 6th place lead-end methods similar to the 720 in dia. (IX).
The even section before the first and after the second Single in each part is the same as the splice already explained with regard to Grid splicing, Pl 8, and the two courses are based on the two given in diagrams (XV) and (XVI).
Three-lead splicing, Pl 4, with the following pairs of bells in 2nds and 4ths place: 6-2, 6-3, 6-4 and 6-5, (i.e. every time the 6th is in 2nds or 4ths at the lead-head), gives Double Oxford and London Bob between the singles, and then by cross-splicing, Pl 5, Fulbeck, Canterbury, Childwall, Wavertree, Thelwall and Lytham are introduced.
Turning to column B, Frodsham and Horsmonden are cross-spliced with Plain Bob and Double Oxford with 5-6 as fixed bells as in Pl 6. There is now no plain lead of Double Oxford, therefore Thelwall in part 2 (24635) and Canterbury in part 3, (53246) are changed to Double Oxford and Reverse by cross-splicing. This move also places the latter lead available as Reverse for the Ennerdale-Cumberland, Horsmonden-Killarney splice, Pl 7 the fixed bells being the 2nd and the 6th.
With regard to dia. (XVII), the methods added in column C may be left until Misc. 3 has been studied but it may be remarked here that before Belvedere, Tonbridge and Mendlesham can be introduced as in the 720 in dia. (LVI), the splice of Pl 6 has to be used to obtain the three leads of Frodsham. It will be noticed that still another cross-splice is required in order to obtain that elusive lead of Double Oxford.
Of course, Cromer, Chalfont and Tibenham Alliance could also be included as mentioned in the 720 in dia. (LVI), but this would require some cross-splicing in order to obtain the necessary leads of Reverse or Double.