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Notes on method collections


Important Notice

These method collections are the copyright of Anthony P. Smith. You are welcome to make copies of the material for your own use. You may distribute copies to others provided that you do not do so for profit and provided that you include this copyright statement. If you modify the material before distributing it, you must include a clear notice that the material has been modified.


These collections contain rung methods for all stages from Minimus upwards. They also contain other methods from the following earlier collections.

Each method entry consists of the name, place notation, lead head produced, summary tenors together falseness, date and place of the first peal and references.

The terms "Imperial", "College" or "Court" have been retained as part of the names of plain methods which appeared in the 1926 collection and also distinguish between methods on different stages, not related as in the Central Council Decision on Method Extension, which would otherwise have the same name.

Twin-hunt methods are grouped according to the symmetry of their place notations. This symmetry is indicated by (a), (b) or (c) in the table headings, where (a) means symmetric like Grandsire, (b) means symmetric like Plain Bob and (c) means asymmetric.

For palindromic single-hunt and twin-hunt (b) methods the place notation is given up to and including the half lead place, followed by the lead end place. For twin-hunt (a) methods the place notation is given up to and including the places made while the hunt bells cross behind. For twin-hunt (c) and non-palindromic methods the entire place notation is given.

For methods with Plain Bob lead heads, the lead head produced is given by a code from the following tables. Lead heads for single-hunt methods are in the top left and bottom right hand sections, codes a - f and p - q are for seconds place lead ends and codes g - m and r - s for lead ends with no internal places. Lead heads for twin-hunt methods are in the top right and bottom left hand sections. For methods with non-Plain Bob lead heads the actual lead head is given.

TABLES OF PLAIN BOB LEAD HEAD CODES
MinimusMinorMajorRoyalMaximusDoublesTriplesCatersCinques
a134213526413527486135274960813527496E8T0ga12534125374612537496812537496E80g
b-156342157382641573920486157392E4T608hb-1275634127593846127593E4068h
c--17856342*1795E3T20486jc--129785634*j
c1---190785634219E7T5038264j1c1---12E90785634j1
c2----1ET907856342j2
d2----1T0E89674523k2
d1---1089674523108T6E492735k1d1---120E8967453k1
d--18674523*18604T2E3957kd--128967453*k
e-1645231648273516482039571648203T5E79le-12674531268493751268403E597l
f1423142635142638571426385079142638507T9Emf124531246375124638597124638507E9m
p-12536412537486125374960812537496E8T0rp13524135274613527496813527496E80r
p1---12970583641297E5T30486r1p1--1795836241795E302846r1
q1---128069473512806T4E3957s1q1--18694725318604E29375s1
q-124635124638571246385079124638507T9Esq142531426375142638597142638507E9s

FourteenSixteenEighteenTwentyTwenty-twoSextuplesSeptuplesOctuplesNineteenTwenty-one
a13527496E8A0BT13527496E8A0CTDB13527496E8A0CTFBGD13527496E8A0CTFBHDJG13527496E8A0CTFBHDKGLJga12537496E8A0T12537496E8A0CTB12537496E8A0CTFBD12537496E8A0CTFBHDG12537496E8A0CTFBHDKGJg
b157392E4A6B8T0157392E4A6C8D0BT157392E4A6C8F0GTDB157392E4A6C8F0HTJBGD157392E4A6C8F0HTKBLDJGhb127593E4A6T80127593E4A6C8B0T127593E4A6C8F0DTB127593E4A6C8F0HTGBD127593E4A6C8F0HTKBJDGh
c1795E3A2B4T608*1795E3A2C4F6G8D0BT1795E3A2C4F6H8J0GTDB*jc1297E5A3T40681297E5A3C4B6T80*1297E5A3C4F6H8G0DTB1297E5A3C4F6H8K0JTGBDj
c119E7A5B3T2048619E7A5C3D2B4T60819E7A5C3F2G4D6B8T019E7A5C3F2H4J6G8D0BT19E7A5C3F2H4K6L8J0GTDBj1c112E9A7T50384612E9A7C5B3T406812E9A7C5F3D4B6T8012E9A7C5F3H4G6D8B0T12E9A7C5F3H4K6J8G0DTBj1
c21EA9B7T5038264*1EA9C7F5G3D2B4T6081EA9C7F5H3J2G4D6B8T01EA9C7F5H3K2L4J6G8D0BTj2c212AET9078563412AEC9B7T503846*12AEC9F7H5G3D4B6T8012AEC9F7H5K3J4G6D8B0Tj2
c31ABET907856342*1ACEF9G7D5B3T204861ACEF9H7J5G3D2B4T608*j3c3-12CABET90785634*12CAFEH9G7D5B3T406812CAFEH9K7J5G3D4B6T80j3
c4-1CDABET9078563421CFAGED9B7T50382641CFAHEJ9G7D5B3T20486*j4c4--12FCDABET9078563412FCHAGED9B7T50384612FCHAKEJ9G7D5B3T4068j4
c5--1FGCDABET9078563421FHCJAGED9B7T50382641FHCKALEJ9G7D5B3T20486j5c5---12HFGCDABET9078563412HFKCJAGED9B7T503846j5
c6---1HJFGCDABET907856342*j6c6----12KHJFGCDABET90785634j6
c7----1KLHJFGCDABET907856342j7
d7----1LJKGHDFBCTA0E89674523k7
d6---1JGHDFBCTA0E89674523*k6d6----12JKGHDFBCTA0E8967453k6
d5--1GDFBCTA0E896745231GDJBHTF0C8A6E4927351GDJBLTK0H8F6C4A2E3957k5d5---12GHDFBCTA0E896745312GJDKBHTF0C8A6E49375k5
d4-1DBCTA0E896745231DBGTF0C8A6E4927351DBGTJ0H8F6C4A2E3957*k4d4--12DFBCTA0E896745312DGBHTF0C8A6E4937512DGBJTK0H8F6C4A3E597k4
d31BTA0E89674523*1BTD0G8F6C4A2E39571BTD0G8J6H4F2C3A5E79*k3d3-12BCTA0E8967453*12BDTG0H8F6C4A3E59712BDTG0J8K6H4F3C5A7E9k3
d21T0B8A6E492735*1T0B8D6G4F2C3A5E791T0B8D6G4J2H3F5C7A9E1T0B8D6G4J2L3K5H7F9CEAk2d212TA0E896745312TB0C8A6E49375*12TB0D8G6H4F3C5A7E912TB0D8G6J4K3H5F7C9AEk2
d1108T6B4A2E3957108T6B4D2C3A5E79108T6B4D2G3F5C7A9E108T6B4D2G3J5H7F9CEA108T6B4D2G3J5L7K9HEFACk1d1120T8A6E49375120T8B6C4A3E597120T8B6D4F3C5A7E9120T8B6D4G3H5F7C9AE120T8B6D4G3J5K7H9FECAk1
d18604T2B3A5E79*18604T2B3D5G7F9CEA18604T2B3D5G7J9HEFAC*kd12806T4A3E59712806T4B3C5A7E9*12806T4B3D5G7H9FECA12806T4B3D5G7J9KEHAFCk
e1648203T5B7A9E1648203T5B7D9CEA1648203T5B7D9GEFAC1648203T5B7D9GEJAHCF1648203T5B7D9GEJALCKFHle1268403T5A7E91268403T5B7C9AE1268403T5B7D9FECA1268403T5B7D9GEHAFC1268403T5B7D9GEJAKCHFl
f142638507T9BEA142638507T9BEDAC142638507T9BEDAGCF142638507T9BEDAGCJFH142638507T9BEDAGCJFLHKmf124638507T9AE124638507T9BECA124638507T9BEDAFC124638507T9BEDAGCHF124638507T9BEDAGCJFKHm
p12537496E8A0BT12537496E8A0CTDB12537496E8A0CTFBGD12537496E8A0CTFBHDJG12537496E8A0CTFBHDKGLJrp13527496E8A0T13527496E8A0CTB13527496E8A0CTFBD13527496E8A0CTFBHDG13527496E8A0CTFBHDKGJr
p1*1297E5A3C4D6B8T01297E5A3C4F6G8D0BT*1297E5A3C4F6H8K0LTJBGDr1p1*1795E3A2C4B6T801795E3A2C4F6D8B0T*1795E3A2C4F6H8K0JTGBDr1
p212AEB9T705836412AEC9D7B5T3048612AEC9F7G5D3B4T60812AEC9F7H5J3G4D6B8T0*r2p21EA9T705836241EA9C7B5T3028461EA9C7F5D3B2T40681EA9C7F5H3G2D4B6T80*r2
p3--12FCGADEB9T705836412FCHAJEG9D7B5T3048612FCHAKEL9J7G5D3B4T608r3p3--1CFADEB9T705836241CFAHEG9D7B5T3028461CFAHEK9J7G5D3B2T4068r3
p4----12KHLFJCGADEB9T7058364r4p4----1HKFJCGADEB9T70583624r4
q4----12JLGKDHBFTC0A8E694735s4q4----1JGKDHBFTC0A8E6947253s4
q3--12DGBFTC0A8E69473512DGBJTH0F8C6A4E395712DGBJTL0K8H6F4C3A5E79s3q3--1DBFTC0A8E69472531DBGTH0F8C6A4E293751DBGTJ0K8H6F4C2A3E597s3
q212TB0A8E69473512TB0D8C6A4E395712TB0D8G6F4C3A5E7912TB0D8G6J4H3F5C7A9E*s2q21T0A8E69472531T0B8C6A4E293751T0B8D6F4C2A3E5971T0B8D6G4H2F3C5A7E9*s2
q1*12806T4B3D5C7A9E12806T4B3D5G7F9CEA*12806T4B3D5G7J9LEKAHCFs1q1*18604T2B3C5A7E918604T2B3D5F7C9AE*18604T2B3D5G7J9KEHAFCs1
q124638507T9BEA124638507T9BEDAC124638507T9BEDAGCF124638507T9BEDAGCJFH124638507T9BEDAGCJFLHKsq142638507T9AE142638507T9BECA142638507T9BEDAFC142638507T9BEDAGCHF142638507T9BEDAGCJFKHs

The following symbols are used for bell numbers above twelve. Note that the letter E is already in use for eleven and that the letter I is not used because of its potential confusion with the number one.

thirteenA
fourteenB
fifteenC
sixteenD
seventeenF
eighteenG
nineteenH
twentyJ
twenty-oneK
twenty-twoL

The letter(s) in the column headed fch give details of the internal falseness, with the tenors together, of that method. The notation is that used by Roger Baldwin in his classification of the 120 false course-heads, slightly extended for Royal and Maximus methods. In this classification, the groups of false course-heads, tenors together members only, are:

BCDEFGHIKLMN
243652563432546
46253
32465
43265
32654
45236
56423
63542
53462
63425
54632
65324
53624
65432
26543 ) L1

36245 ) L2
42563 )
23564
23645
25463
26435
34562
46325
54263
62345
23654
25436
32456
43256
34265
42365
24356
53426
63452
24635
25364
24563
26345

-
36542
46523
56243
62543

-
34526 ) K1
46352 )
52346 )
64253 )

54362 ) K2
64325 )

-

-
35462 ) N1
43625 )
53264 )
62435 )

35624 ) N2
45632 )
52634 )
65234 )
OPRSTUabcdef
36524
46532
52643
65243
54326 ) P1
64352 )

56342 ) P2
64523 )
35642
45623
56234
62534
34625
45362
52364
64235
24536
24653
25346
26354
36452
43526
53246
62453
34256 ) U1
35426 )
42356 )
43652 )
52436 )
63254 )

35264 ) U2
42635 )

-

-

-

-

-

-
53642
56432
63524
65423

-

-

-
32564
32645
45263
46235

-
23465 ) a1

23546 ) a2
26453 )
25643
26534
35246
36254
42536
42653
34652
45326
54236
62354
36425
43562
52463
63245
54623
56324
64532
65342

In-course false course-heads are shown in each case above the line, while the out-of-course false course heads appear below the line. The groups designated by small letters contain only out-of-course false course-heads.

In Major, the groups including both in-course and out-of-course false course-heads, and which are designated by capital letters, always occur as complete groups. Their presence is indicated in the tables by a single occurrence of the corresponding letter. In Royal and Maximus, the in-course and out-of-course components may occur separately, and for these categories of methods, the in-course and out-of course false course-head groups are shown separated by a slash. For example, the presence of letter E before a slash would indicate the false course-heads 32465 and 43265; while after a slash, would indicate the false course-heads 24635 and 25364. If both sets of false course-heads were present, E would be included twice.

A further consideration in Royal and Maximus is that certain of the groups defined above, K, L, N, P, U and a can subdivide. The subdivisions, indicated by K1, K2, L1, L2, N1, N2, P1, P2, U1, U2, a1 and a2 are also shown above.

As an example, Ibstock Surprise Royal fch is given as L1/BDK1c. The false course-heads associated with Ibstock are accordingly:

in-course26543
out-of-course23654, 25436, 32456, 43256, 24356, 53426, 63452, 34526, 46352, 52346, 64253, 35246, 36254, 42536, 42653.

Following the accepted convention, methods having no in-course false course-heads have been designated as cps ("clear proof scale"), although these methods will usually have out-of-course false course-heads.

The 24 groups of false course-heads with tenors together also contain tenors parted members. The 3 additional groups of false course-heads with no tenors together members are:

XY (gamma)
257643 374652 627534 723645
265743 437625 632754 724653
276354 457632 635742 736425
276435 475623 657423 746532
346752 526734 672453 762354
367245 546723 673245 763542
367524 564732 675324 764235
267534 364752 625743 724635
275643 367542 635724 726534
276453 376425 637425 734652
675423 764532
Z (delta)
457623 546732 672354 763245

The notation is due to Edmund Shuttleworth, simplified by John Leary. When assessing the suitability of a composition with tenors together courses only, the presence of any of X, Y, Z against the method may be ignored. However if a composition has tenors parted courses, the presence of any of these additional groups must be considered. Note that the groups of false course-heads containing only out-of-course tenors together members (a - f) must be taken into account, even if the composition uses Bobs only, because these groups contain in-course tenors parted members.

Entries for plain methods which appeared in previous collections include a method number in a column headed CCC. The 360 Triples methods rung by the Manchester University Guild also show the code by which they were published.

So far as possible method entries include a Ringing World reference of the form year/page or, for the years 1911 to 1916, volume/page preceded by the letter V.

Anthony P.Smith, 72 Buriton Road, Winchester, Hampshire, SO22 6JE
Telephone: Winchester (01962) 881202. e-mail: smith_a_p@btinternet.com