-------------------------------------------------------------------------------- | | | Table heading | | | | >>---------------------------------------------| hunters |---------------->< | | | | | | | | | | ---- false ---- ---- unnamed ---- ----| non-hunters |---- | | | | | | hunters: | | | | ---- palindromic ------------- ---- single-hunt ---- | | | | | | | | >>---+----------------------------+---+-------------------+----------------> | | | | | | | | |--- double symmetric -------| |--- double-hunt ---| | | | | | | | | |--- rotational symmetric ---| |--- triple-hunt ---| | | | | | | | | ---- non-palindromic --------- |--- four-hunt -----| | | | | | | |--- five-hunt -----| | | | | | | |--- six-hunt ------| | | | | | | |--- seven-hunt ----| | | | | | | |--- eight-hunt ----| | | | | | | |--- nine-hunt -----| | | | | | | ---- ten-hunt ------- | | | | ---- Plain ----------- | | | | | | >-----------------------------------------------+--------------------+-----> | | | | | | | | | | ---- differential ---- ---- Little ---- |--- Surprise -------| | | | | | | |--- Delight --------| | | | | | | |--- Treble Bob -----| | | | | | | |--- Alliance -------| | | | | | | |--- Treble Place ---| | | | | | | ---- Hybrid ---------- | | | | >---| stage |--- methods ------------------------------------------------->< | | | | | | | | |--- (a) ---| ----| hunt work |---- | | | | | | |--- (b) ---| | | | | | | ---- (c) ---- | | See Note 1. | | | | hunt work: | | | | |-- ( ------| special path |----------------------------------------- ) ---| | | | | | | | --------------------------- | | | | | | | | | | V | | | | ------ treble’s path -----------| cardinal-position |------ | | | | | | --- hunt bell’s path --- | | | | special path: | | | | |----- treble -------------------------------------------------------------> | | | | | | |-- hunt bell ---| | | | | | | --- hunt bells --- | | | | >--------------------------------------------------------------------------> | | | | | | --------------------------------------- to --| ordinal-position |--- | | | | | | --- from --| ordinal-position |--- | | | | >--------------------------------------------------------------------------| | | | | | | |------ double ------- dodging --------------------------------------| | | | | | | | | | |--- triple ---| | | | | | | | | | | |--- 4-pull ---| | | | | | | | | | | |--- 5-pull ---| | | | | | | | | | | |--- 6-pull ---| | | | | | | | | | | |--- 7-pull ---| | | | | | | | | | | |--- 8-pull ---| | | | | | | | | | | |--- 9-pull ---| | | | | | | | | | | ---- 11-pull --- | | | | | | | | --- and ---------------------------------------------------------- | | | | | | | | | | | --- , -------------------------------------------------------- | | | | | | | | | | | | | V V | | | | | --------------------------------------| cardinal-position-pair |------ | | | | | | | --- single --- | | | | | | | | | --+------------+- dodging in -- | | | | | | |-- double --| | | | | | | |-- triple --| | | | | | | --- 5-pull --- | | | | non-hunters: | | | | >>---| stage |------- principles ------------------------------------------> | | | | | | |--- differentials ---| | | | | | | ---- blocks ----------- | | | | | | >--- ( ---| change-count |--- changes per lead) -------------------------->< | | | | stage: | | | | |------- Minimus ----------------------------------------------------------| | | | | | | |--- Doubles ------| | | | | | | |--- Minor --------| | | | | | | |--- Triples ------| | | | | | | |--- Major --------| | | | | | | |--- Caters -------| | | | | | | |--- Royal --------| | | | | | | |--- Cinques ------| | | | | | | |--- Maximus ------| | | | | | | |--- Sextuples ----| | | | | | | |--- Fourteen -----| | | | | | | |--- Septuples ----| | | | | | | |--- Sixteen ------| | | | | | | |--- Octuples -----| | | | | | | |--- Eighteen -----| | | | | | | |--- Twenty -------| | | | | | | ---- Twenty-two ---- | | | | cardinal-position = 1, 2, 3, ... | | | | ordinal-position = 2nds, 3rds, 4ths, ... | | | | cardinal-position-pair = 1-2, 3-4, 4-5, ... | | | | change-count = number of changes per lead | | | | Note 1. The parenthetical letters indicate the symmetry of the place | | notation of methods with two or more hunt bells, where (a) means | | symmetric like Grandsire, (b) means symmetric like Plain Bob and | | (c) means asymmetric. | | | -------------------------------------------------------------------------------- Figure 1
-------------------------------------------------------------------------------- | | | Table sub-heading | | | | >>--- No. --- Name --- Notation ---------------------------- lh -----------> | | | | | | --- hl --------------- | | | | | | --- le --- | | | | >--------------------------------------------------------------------------> | | | | | | | | ---- fch ---- ---- affected ---- | | | | >--------------------------------------------------------------------------> | | | | | | ---- Tower bells ------------------------------------- | | | | | | | | --- Place --- --- Society --- | | | | >--------------------------------------------------------------------------> | | | | | | ---- Handbells ----------------------------------------- | | | | | | | | --- Hb place --- --- Hb soc --- | | | | >--------------------------------------------------------------------------> | | | | | | | | | | ---- CCC ---- |--- PMM ----| ---- RW ref ---- | | | | | | |--- TDMM ---| | | | | | | ---- MUG ----- | | | | >------------------------------------------------------------------------->< | | | | | | | | ---- Symmetry ---- ---- Notes ---- | | | -------------------------------------------------------------------------------- Figure 2
ten | 0 |
eleven | E |
twelve | T |
thirteen | A |
fourteen | B |
fifteen | C |
sixteen | D |
seventeen | F |
eighteen | G |
nineteen | H |
twenty | J |
twenty-one | K |
twenty-two | L |
Minimus | Minor | Major | Royal | Maximus | Doubles | Triples | Caters | Cinques | ||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
a | 1342 | 135264 | 13527486 | 1352749608 | 13527496E8T0 | g | a | 12534 | 1253746 | 125374968 | 12537496E80 | g |
b | - | 156342 | 15738264 | 1573920486 | 157392E4T608 | h | b | - | 1275634 | 127593846 | 127593E4068 | h |
c | - | - | 17856342 | * | 1795E3T20486 | j | c | - | - | 129785634 | * | j |
c1 | - | - | - | 1907856342 | 19E7T5038264 | j1 | c1 | - | - | - | 12E90785634 | j1 |
c2 | - | - | - | - | 1ET907856342 | j2 | ||||||
d2 | - | - | - | - | 1T0E89674523 | k2 | ||||||
d1 | - | - | - | 1089674523 | 108T6E492735 | k1 | d1 | - | - | - | 120E8967453 | k1 |
d | - | - | 18674523 | * | 18604T2E3957 | k | d | - | - | 128967453 | * | k |
e | - | 164523 | 16482735 | 1648203957 | 1648203T5E79 | l | e | - | 1267453 | 126849375 | 1268403E597 | l |
f | 1423 | 142635 | 14263857 | 1426385079 | 142638507T9E | m | f | 12453 | 1246375 | 124638597 | 124638507E9 | m |
p | - | 125364 | 12537486 | 1253749608 | 12537496E8T0 | r | p | 13524 | 1352746 | 135274968 | 13527496E80 | r |
p1 | - | - | - | 1297058364 | 1297E5T30486 | r1 | p1 | - | - | 179583624 | 1795E302846 | r1 |
q1 | - | - | - | 1280694735 | 12806T4E3957 | s1 | q1 | - | - | 186947253 | 18604E29375 | s1 |
q | - | 124635 | 12463857 | 1246385079 | 124638507T9E | s | q | 14253 | 1426375 | 142638597 | 142638507E9 | s |
B | C | D | E | F | G | H | I | K | L | M | N |
---|---|---|---|---|---|---|---|---|---|---|---|
24365 | 25634 | 32546 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 ) |
O | P | R | S | T | U | a | b | c | d | e | f |
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.
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.
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 shown in figure 6.
X | Y (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.
viii. “affected”The syntax used in the figures is described using the following structure: The syntax diagrams should be read from left to right and from top to bottom, following the path of the line. The following table shows the meaning of symbols which can appear at the beginnings or ends of syntax diagram lines.
-------------------------------------------------------------------------------- | SYMBOL | INDICATES | |---------------+--------------------------------------------------------------| | >>--- | the syntax diagram starts here | |---------------+--------------------------------------------------------------| | ---> | the syntax diagram is continued on the next line | |---------------+--------------------------------------------------------------| | >--- | the syntax diagram is continued from the previous line | |---------------+--------------------------------------------------------------| | --->< | the syntax diagram ends here | --------------------------------------------------------------------------------
Items that always occur appear on the horizontal line (the main path).
-------------------------------------------------------------------------------- | | | >>-------------required-item---------------------------------------------->< | | | --------------------------------------------------------------------------------
Items that may occur appear below the main path.
-------------------------------------------------------------------------------- | | | >>------------------------------------------------------------------------>< | | | | | | --optional-item-- | | | --------------------------------------------------------------------------------
If one of several items may occur, they appear vertically, in a stack. If one of the items will always occur, one item of the stack appears on the main path.
-------------------------------------------------------------------------------- | | | >>---------------choice 1------------------------------------------------->< | | | | | | --choice 2------ | | | --------------------------------------------------------------------------------
If none of the items may occur, the entire stack appears below the main path.
-------------------------------------------------------------------------------- | | | >>------------------------------------------------------------------------>< | | | | | | |-optional-choice 1-| | | | | | | --optional-choice 2-- | | | --------------------------------------------------------------------------------
A default, which is implied if no other choice occurs, appears above the main path.
-------------------------------------------------------------------------------- | | | --default-item-- | | | | | | >>-------------+--------------+------------------------------------------->< | | | | | | |-choice 1-----| | | | | | | --choice 2------ | | | --------------------------------------------------------------------------------
An arrow returning to the left above the main line is a repeat arrow, and it indicates an item that may be repeated.
-------------------------------------------------------------------------------- | | | ------------------- | | | | | | V | | | >>---------------repeatable-item------------------------------------------>< | | | --------------------------------------------------------------------------------
If there is a comma in the path of the repeat arrow, the items in a series are separated by commas.
-------------------------------------------------------------------------------- | | | -------- , -------- | | | | | | V | | | >>---------------repeatable-item------------------------------------------>< | | | --------------------------------------------------------------------------------
A syntax fragment is delimited in the main syntax diagram by a set of vertical lines. The corresponding meaning of the fragment begins with the name of the fragment followed by the syntax, which starts and ends with a vertical line.
-------------------------------------------------------------------------------- | | | >>-------------| fragment |----------------------------------------------->< | | | | FRAGMENT: | | |--syntax items------------------------------------------------------------| | | | --------------------------------------------------------------------------------
This page is maintained by Tony Smith 15th May 2020