Change ringing

Bell ringing practice in Stoke Gabriel parish church, Devon, England

Change ringing is the art of ringing a set of tuned bells in a series of mathematical patterns called changes.

Change ringing differs from many other forms of campanology, in that players make no attempt to produce a conventional melody, but instead ring the bells in a set of permutations. Today, change ringing can be found all over the world, performed in a variety of media, but it remains most popular in English churches, where it was developed in the 17th century. Such a church's bell tower typically contains a set of a few large church bells, known as a ring of bells, rigged to swing freely for slightly more than one revolution. The considerable inertias involved mean that each bell usually requires its own ringer and can only speak about once every two seconds—the time for a full revolution.

Change ringing is also performed on handbells and on carillons (where the bells are fixed and the clappers are pulled over) though both of these instruments more commonly play melodies.

Mechanics

Today, some towers have as many as sixteen bells that can be rung together, though six or eight bells are more common. The highest pitch bell is known as the treble, and the lowest is the tenor. For convenience, the bells are referred to by number, with the treble being number 1 and the other bells numbered by their pitch—2,3,4, etc.—sequentially down the scale. (This system often seems counter-intuitive to musicians, who are used to a numbering that ascends with pitch.) The bells are usually tuned to a diatonic major scale, with the tenor bell being the tonic (or key) note of the scale. Some towers contain additional bells so that different subsets of the full number can be rung, still to a diatonic scale. For instance, many 12-bell towers have a flat sixth, which if rung instead of the normal number 6 bell allows 2 to 9 to be rung as light diatonic octave; other variations are also possible.

One of the 12 bells of St Leonard's, Shoreditch, removed for maintenance. Showing a metal headstock and wheel, supported in a temporary bellframe by the main bearings.

The bells in a tower reside in the bell chamber or belfry usually with louvred windows to enable the sound to escape.

The bells are mounted within a bellframe of steel or wood. Each bell is suspended from a headstock fitted on trunnions (plain or non-friction bearings) mounted to the belfry framework so that the bell assembly may rotate. When stationary in the down position, the centre of mass of the bell and clapper is appreciably below the centreline of the trunnion supports, thus giving a pendulous effect to the assembly, and this dynamic is controlled by the ringer's rope. The headstock is fitted with a wooden stay, which, in conjunction with a slider, limits maximum rotational movement to a little less than 370 degrees. To the headstock a large wooden wheel is fitted and to which a rope is attached. The rope wraps and unwraps as the bell rotates backwards and forwards. This is full circle ringing and quite different from fixed or limited motion bells, which chime. Within the bell the clapper is constrained to swing in the direction that the bell swings. The clapper is a rigid steel or wrought iron bar with a large ball to strike the bell. The thickest part of the mouth of bell is called the soundbow and it is against this that the ball strikes. Beyond the ball is a flight, which controls the speed of the clapper. In very small bells this can be nearly as long as the rest of the clapper.

Below the bell chamber there may be one or more sound chambers, (one of which is likely to house the clock mechanism if the church has one) and through which the rope passes before it drops into the ringing chamber or room. Typically, the rope's length is such that it falls close to or on to the floor of the ringing chamber. About 5 feet (1.5 m) from the floor, the rope has a woolen grip called the sally (usually around 4 feet (1.2 m) long) while the lower end of the rope is doubled over to form an easily held tail-end.

Unattended bells are normally left hanging in the normal ("down") position but prior to being rung, the bells are rung up. In the down position, the bells are safe if a person touches them or pulls a rope. A bell that is up is dangerous to be near, and only expert ringers should ever contemplate entering a bell chamber or touching a rope when the bells are up. The ringer pulls on the rope and starts the bell swinging. Each time the bell swings the ringer adds a little more energy to the system, similar to pushing a child's swing. Eventually there is enough energy for the bell to swing right up and be left over-centre just beyond the balance point with the stay resting against the slider.

Bellringers typically stand in a circle around the ringing chamber, each managing one rope. Bells and their attendant ropes are so mounted that the ropes are pulled in a circular sequence, usually clockwise, starting with the lightest (treble) bell and descending to the heaviest (tenor). To ring the bell, the ringer first pulls the sally towards the floor, upsetting the bell's balance and swinging it on its bearings. As the bell swings downwards the rope unwinds from the wheel and the ringer adds enough pull to counteract friction and air resistance. The bell winds the rope back onto the other side of the wheel as it rises and the ringer can slow (or check) the rise of the bell if required.

The rope is attached to one side of the wheel so that a different amount of rope is wound on and off as it swings to and fro. The first stroke is the handstroke with a small amount of rope on the wheel. The ringer pulls on the sally and when the bell swings up it draws up more rope onto the wheel and the sally rises to, or beyond, the ceiling. The ringer keeps hold of the tail-end of the rope to control the bell. After a controlled pause with the bell, on or close to its balancing point, the ringer rings the backstroke by pulling the tail-end, causing the bell to swing back towards its starting position. As the sally rises, the ringer catches it to pause the bell at its balance position.

In English style ringing the bell is rung up such that the clapper is resting on the lower edge of the bell when the bell is on the stay. During each swing, the clapper travels faster than the bell, eventually striking the soundbow and making the bell sound. The bell speaks roughly when horizontal as it rises, thus projecting the sound outwards. The clapper rebounds very slightly, allowing the bell to ring. At the balance point, the clapper passes over the top and rests against the soundbow.

In change ringing where the order the bells are struck in is constantly altered, it is necessary to time the swing so that this strike occurs with precise positioning within the overall pattern. Precision of striking is important at all times. To ring quickly, the bell must not complete the full 360 degrees before swinging back in the opposite direction, while ringing slowly the ringer waits with the bell held at the balance, before allowing it to swing back. To achieve this, the ringer must work with the bell's momentum, applying just the right amount of effort during the pull that the bell swings as far as required and no further. This allows two adjacent bells to reverse positions; the quicker bell passing the slower bell to establish a new pattern. Although ringing up certainly involves some physical exertion, actual ringing should rely more on practised skill than mere brute force. Even the smallest bell in a tower is much heavier than the person ringing it. The heaviest bell hung for full-circle ringing is in Liverpool Cathedral and weighs 82 long cwt 0 qr 11 lb (9,195 lb or 4,171 kg). Despite this colossal weight, it can be safely rung by one (experienced) ringer.

(Whilst heavier bells exist—for example Big Ben—they are generally only chimed, either by swinging the bell slightly or having the bell hung dead and using a mechanical hammer.)

Handbells

Change ringing can also be carried out on handbells (small bells, generally weighing only a few hundred grams). This was particularly common during the Second World War, when church bells often were not allowed to be rung (as that would have signified an invasion). Though the ringers returned to the towers as soon as the war was over, for a number of years thereafter handbell ringing remained popular.

When used for practice by tower ringers, each ringer typically handles one bell, just as in the tower. But change ringing on handbells is today quite popular in its own right; and in that context the relevant physical realities of handbells (compared with tower bells) have their effect— on handbells each ringer usually handles two bells (adding considerably to the mental challenge). Likewise, a set of handbells often contains considerably more bells than towers ever do—sometimes several octaves' worth. Today many record-length peals, including the longest peal ever rung, come from handbell ringers.

Typically, change ringers using handbells sit or stand in a circle (like tower ringers). The towerbell terms of handstroke and backstroke are retained, referring to an upwards and downwards ring of the bell respectively; and as in towers, the ringing proceeds in alternate rows of handstroke and backstroke.

There is, however, a second school of change ringing on handbells, which uses a technique called lapping, or cross and stretch. Ringers stand or sit in a straight line at a single convenient table on which the bells are placed. They pick up a bell each time they ring it, and then put it down. As the bell sequence changes, however, the ringers physically swap the bells accordingly—so the bells move up and down the table and each row is rung in strict sequence from right to left. Ringers in cross and stretch thus do not have responsibility for their own personal bell, but handle each as it comes.

Some handbell change ringers practice a hybrid of these two methods, known as body ringing: ringers standing in a line each hold one bell, exchanging places in the line (somewhat as in a hey) so that the changes sound correctly when the bells are rung in sequence from right to left.

Permuting the bells

The simplest way to use a set of bells is ringing rounds, which is sounding the bells repeatedly in sequence from treble to tenor: 1, 2, 3, etc. (musicians recognise this as a portion of a descending scale). Ringers typically start with rounds and then begin to vary the bells' order, moving on to a series of distinct rows. Each row (or change) is a specific permutation of the bells (for example 123456 or 531246)—that is to say, it includes each bell rung once and only once, the difference from row to row being the order of the bells.

In call change ringing each row is specifically called for: one ringer (the conductor) tells the others how to swap their bells' places from row. In method ringing, by contrast, the ringers have learned a "method"—an algorithm that governs the swaps they can thus perform on their own like clockwork. A conductor's intervention is needed only periodically, when a slight variation in the pattern is necessary, or to correct errors.

Call change ringing

Most ringers begin their ringing career with call change ringing; they can thus concentrate on learning the physical skills needed to handle their bells without needing to worry about methods. There are also many towers where experienced ringers practise call change ringing as an art in its own right (and even exclusively), particularly in the English county of Devon.

Calls are made with spoken commands such as "X to Y" or "X and Y" or "X after Y", in which X and Y refer to two of the bells by their numbers (not by their positions in the row); such a call signifies that after the call, a pair of bells will have swapped, resulting in X following Y. However, there are several different ways of representing any given change. By far the most common two are known as calling up and calling down; each has its merits and inconveniences, but generally any given tower consistently uses one system in preference to the other.

As an example, consider the following sequence of rows, and the calls a conductor would use to evoke them:

Row	Conductor's intent	Call, if calling Up	Call, if calling Down
1,2,3,4,5,6	to swap bells 2 and 3	"2 to 3"	"3 to Treble"
1,3,2,4,5,6	to swap bells 4 and 5	"4 to 5"	"5 to 2"
1,3,2,5,4,6	to swap bells 2 and 5	"2 to 5"	"5 to 3"
1,3,5,2,4,6	to swap bells 1 and 3	"1 to 3"	"3 to lead"
3,1,5,2,4,6

Thus it can be seen how these two ways of calling differ:

• In calling up, the two bells named are already neighbours in the row, with the second-named previously following the first-named. As a result of the call, these two bells swap position; thereafter the first-named bell follows its erstwhile successor (having moved one spot 'upwards' (backward) to a position nearer the end of the change); the second-named has meanwhile moved 'downwards' (forward) to a position nearer the start of the change. In short, the call literally consists of an instruction that the first-named bell move up (i.e., back away from the lead).
• In calling down, by contrast, the first-named bell is instructed to move down (i.e., forwards, towards the lead). The second bell named, the one the first-named bell is to follow, does not alter its place in the row: it still immediately precedes the swapping pair. The bell that swaps with the one moving down towards lead, on the other hand, is not itself named; its ringer must simply realize that the bell must move up to accommodate the first-named bell.

In both cases, the ringer of the bell immediately above (behind) the swapping pair must also be alert, as this bell follows a new bell after the swap. Rarer forms of change calling may name just one of the moving bells, call the moving bell by position rather than number, or call out the full change.

Method ringing

The "Blue Line" of Plain Bob Minor, shown in red. Note that, for clarity, the row at the bottom of each column is repeated at the top of the next.

Main article: Method ringing

Method ringing is what many people mean by change ringing. Thanks to it, ringers can spend hours ringing thousands upon thousands of unique changes with no outside direction or coordination. They do not have to memorize impossible quantities of data; nor do they attempt to read it all off a lengthy sheet of numbers. Rather, they are all following a method, a relatively simple pattern they have learned to direct them from row to row. Where the treble bell follows exactly the same pattern as the other bells it is called a principle.

Since a ringer is responsible for one bell, learning a method consists mainly of memorizing how that bell changes position from row to row; when it advances towards the beginning ("goes down to the front") or when it retreats towards the end ("goes up to the back"). Often ringers study a blueline, a graphical representation of a bell's course from row to row according to a particular method. The methods are simple enough to memorize and so are relatively limited in length; but taken in conjunction with slight standard variations the ringers know to make at regular breaking points, a more robust algorithm is formed. From time to time and usually when the treble is leading (that is when bell number 1 is ringing first), a conductor calls out the need for another variation by calling "bob" or "single".

For some people, the ultimate goal of this system is to ring all the permutations, to ring a tower's bells in every possible order without repeating — what is called an "extent" (or sometimes, formerly, a "full peal"). The feasibility of this depends on how many bells are involved: if a tower has $n$ bells, they have $n!$ (read factorial) possible permutations, a number that becomes quite large as $n$ grows. For example, while six bells have 720 permutations, 8 bells have 40,320; furthermore, 10! = 3,628,800, and 12! = 479,001,600. Estimating two seconds for each change (a reasonable pace), we find that while an extent on 6 bells can be accomplished in half an hour, a full peal on 8 bells should take nearly twenty-two and a half hours. (When in 1963 ringers in Loughborough became the only band in history to achieve this feat on tower bells, it actually took them just under 18 hours.) An extent on 12 bells would take over thirty years.

Since extents are obviously not always practicable, ringers more often undertake shorter performances. Such ringing starts and ends with rounds, having meanwhile visited only a subset of the available permutations; but truth is still considered essential — no row can ever be repeated; to do so would make the ringing false. A peal is an extended performance; it must last at least 5000 changes on eight or more bells and at least 5040 on seven or fewer bells (5040 being 7!, the length of a full extent on seven). A performance of 1250 (on 8 or more) or 1260 (on 7 or fewer) changes likewise makes a quarter peal (quarter for short); a peal or a quarter tends to last about three hours or 45 minutes, respectively.

Half-muffling

For commemorative services such as funerals, memorial services and Remembrance Sunday, the bells are rung half-muffled. To ring half-muffled a thick leather pad called a muffle is strapped to one side of each bell's clapper. This deadens the sound of alternate strokes of the bells, the muffled stroke (usually the backstroke) sounding similar to an echo of the unmuffled stroke. In some areas the tenor bell (the lowest note) is left unmuffled to heighten the contrast.

Very rarely, normally only for the death of a Sovereign, are the bells rung fully muffled. One notable exception to this tradition was when nurse Edith Cavell's remains were repatriated after the First World War. As the ship bearing the coffin arrived in Dover, a full peal of Grandsire Triples (5040 Changes, Parker's Twelve-Part) was rung on the bells of the parish church. The peal record shows:

Rung with the bells deeply muffled with the exception of the Tenor which was open at back stroke, in token of respect to Nurse Cavell, whose body arrived at Dover during the ringing and rested in the town till the following morning. The ringers of 1-2-3-4-5-6 are ex-soldiers, F. Elliot having been eight months Prisoner of War in Germany.

History and modern culture

Change ringing as we know it today emerged in England in the 17th century. To that era we can trace the origins of the earliest ringing societies, such as the Lincoln Cathedral Guild, which claims to date to 1612 or the Antient [sic] Society of Ringers of St Stephen in Bristol which was founded in 1620 and lasted as a ringing society until the late 19th century. The recreation began to flourish in earnest in the Restoration era; an important milestone in the development of method ringing as a careful science was the 1668 publication by Richard Duckworth and Fabian Stedman of their book Tintinnalogia, which promised in its subtitle to lay down "plain and easie Rules for Ringing all sorts of Plain Changes." Stedman followed this in 1677 with another famous early guide, Campanalogia.

Throughout the years since, the group theoretical underpinnings of change ringing have been pursued by mathematicians. Bells have been installed in towers around the world and many rings in the British Isles have been augmented to ten, twelve, fourteen, or even sixteen bells. Today change ringing is, particularly in England, a popular and commonplace sound, often issuing from a church tower before or after a service or wedding. While on these everyday occasions the ringers must usually content themselves with shorter "touches," each lasting a few minutes, for special occasions they often attempt a quarter-peal or peal, lasting approximately 45 minutes or three hours respectively. If a peal attempt succeeds, towers sometimes mark the occasion with a peal board mounted on the wall of the ringing chamber; at St Peter Mancroft in Norwich there is one documenting what is generally considered to have been the first true peal: 5040 changes of Plain Bob Triples (a method still popular today), rung 2 May 1715. Today over 4000 peals are rung each year.

Organisation and extent

The Central Council of Church Bell Ringers, founded in 1891, is dedicated to representing change ringers around the world. Most regional and local ringing guilds are affiliated with the council. Its journal, The Ringing World, has been published weekly since 1911; in addition to news and features relating to bellringing and the bellringing community, it publishes records of achievements such as peals and quarter-peals. Ringers generally adhere to the Council's rules and definitions governing change ringing.

The Central Council, by means of its peal records, also keeps track of record length peals, both on tower bells and handbells. (The record for tower bells remains the 1963 Loughborough extent of Plain Bob Major (40,320 changes); for handbells it was set in 2007 in Willingham, Cambridgeshire, with 72,000 changes of 100 different Treble Dodging Minor methods, taking just over 24 hours to ring) More importantly, perhaps, along with keeping track of the first peal ever rung in a method, the Central Council controls the naming of new methods: it generally allows the first band to ring a method to name it.

Much ringing is carried out by bands of ringers meeting at their local tower to ring its bells. For the sake of variety, though, many ringers like to take occasional trips to make a tower grab ringing the bells of a less familiar tower. The setting, the church architecture, the chance to ring more bells than usual, the bells' unique tone, their ease or difficulty of ringing, and sometimes even the unusual means of accessing the ringing chamber can all be part of the attraction. The traditional means of finding bell towers, and still the most popular way today, is the book (and now internet database) Dove's Guide for Church Bell Ringers.

As of 30 September 2015 there are 7,140 English style rings. The Netherlands, Pakistan, India, and Spain have one each. The Windward Isles and the Isle of Man have 2 each. Canada and New Zealand 8 each. The Channel Isles 10. Africa as a continent has 13. Scotland 24, Ireland 37, USA 48, Australia 59 and Wales 227. The remaining 6,798 (95.2%) are in England (including three mobile rings).

Number of bells

Methods of change ringing are named for the number of working bells, or those which switch order within the change. It takes a pair to switch, and commonly the largest bell (the tenor) does not change place. For example, there may be six bells, only five of which are working, allowing for only two pairs. A method of ringing for these bells would be called doubles. Doubles is the most common group of methods rung in the United Kingdom, since 90% of parish churches with bell towers in the UK are fitted with only six bells.

"Plain Bob Doubles" is a method rung on five bells whereas "Plain Bob Triples" is the same method rung on seven working bells.

There are two separate ways are used to refer to the number of bells. One way is used for even numbers, the other for an odd number.

Even numbers of bells
Number of bells	Name
4	Minimus
6	Minor
8	Major
10	Royal
12	Maximus

Odd numbers of bells
Number of bells	Name
3	Singles
5	Doubles
7	Triples
9	Caters
11	Cinques

The name for 9 bells is pronounced "kate-ers" and comes from the French "quatres". The name for 11 bells also comes from the French and is pronounced "sinks" c.f. Cinque Ports.

The names refer to the number of bells which change places in each row. With three bells only one pair can change, and so it is singles. With seven bells there are clearly three pairs with the one left over not moving this row.

Named changes

Mathematical abstraction though each row may be, some rows do have a musical or melodic meaning to the listener. Over the years, a number of these have acquired names — they are named changes. Both the conductors directing call-change ringing and the composers coming up with plans for a bout of method ringing sometimes like to work their favourite named changes in. The table below lists some popular named changes on eight bells; many of these names are also applicable by extension on more or fewer bells.

Change	Name
12345678 (<phonos file="Rounds.ogg">listen</phonos>)	Rounds
87654321 (<phonos file="Back Rounds.ogg">listen</phonos>)	Back rounds or Reverse Rounds
13572468 (<phonos file="Queens.ogg">listen</phonos>)	Queens (an apocryphal story says it appealed to Elizabeth I)
15263748 (<phonos file="Tittums.ogg">listen</phonos>)	Tittums (so named because of the ti-tum ti-tum sound it makes)

Such names are often humorous; for example, the sequence 14235 on five bells is called weasels because it is the tune of the refrain to the children's song Pop Goes the Weasel.

Called changes are listed at MAW Call Change Collection

Striking

Although neither call change nor method ringing produces conventional tunes, it is still the aim of the ringers to produce a pleasant sound. One of the most important aspects of this is good striking — not only should the bells never clash by sounding at the same moment, the bells should sound to a perfect rhythm, tapping out a steady beat.

It is the custom to leave a pause of one beat after every alternate row, i.e., after the ringing of each ‘backstroke’ row. This is called 'open handstroke' ringing (or open handstroke leading). In Devon, Cornwall and parts of Yorkshire, this custom is not followed when call-change ringing; instead the bells strike steadily without the pause. This latter custom is known as the closed-hand or cartwheel arrangement. However for method ringing the universal practice is to ring with open handstrokes, even in the South West of England.

Striking competitions are held where various bands of ringers attempt to ring with their best striking. They are judged on their number of faults (striking errors); the band with the fewest faults wins. These competitions are organized on regional and national levels, being particularly popular among the call-change ringers of Devon where it is customary to include the quality of the rise and lower of the bells as part of the judging criteria. Competitions for method ringers usually start "off the stay"—i.e., the bells are rung up before the competition begins. At the annual National 12 Bell Striking Contest the bands are ringing methods and producing a different change approximately every 2.5 seconds, with a gap between bells of 0.21 seconds. To an expert ringer's ear at this level of competition a variation of a tenth of this would be discernible as a striking fault.

Splicing bell ropes

Rope splicing plays an important role in English style ringing. Judicious splicing, and a better understanding of ropes, can help prolong the life of this most important component.

In literature and television

The mystery novel The Nine Tailors by Dorothy L. Sayers (1934) contains a great deal of information on change-ringing. Her fictional detective, Lord Peter Wimsey, demonstrates his skill at ringing, and the solution to the central puzzle of the book rests in part upon his knowledge of the patterns of change ringing.

Connie Willis, who frequently and overtly references Sayers in To Say Nothing of the Dog (1997), features bell ringers in her earlier novel Doomsday Book (1992); a group of American women led by a Mrs. Taylor frequently appears practising for or ringing both handbells and changes.

The British television series Midsomer Murders aired an episode in the fifth season on a series of murders within a bell-ringing team, in "Ring Out Your Dead".

In the science-fiction novel Anathem by Neal Stephenson (2008) changes are rung in a cloistered monastery for mathematicians to signal different ceremonies.

See also

• The Australian and New Zealand Association of Bellringers
• Braid theory
• Change ringing software
• Doubles (bells)
• Grandsire
• Handbell
• John Taylor & Co
• The Nine Tailors
• Steinhaus–Johnson–Trotter algorithm
• Veronese bellringing art
• Whitechapel Bell Foundry

References

• Bells and Bellringing, a presentation prepared by the Publications Committee of the Central Council of Church Bell Ringers

External links

• The Craft of Bellringing, a DVD documentary about change ringing
• Discover Bell Ringing - introduction for non-ringers
• ringing.info, a wide-ranging and well-organized compendium of ringing links
• St Oswalds, Oswestry Ringing Society, The website for the bell ringers of the St Oswalds Church Bell Ringers Association
• The Central Council of Church Bell Ringers
• Central Council decisions — scroll down the page to see the council's definition of a peal
• Ringing World, the Council's weekly journal
• Dove's Guide, a directory of towers worldwide with bells hung for change ringing
• Some recordings of change ringing
• Tintinnalogia, or, the Art of Ringing (by Richard Duckworth and Fabian Stedman, 1668) at Project Gutenberg
• Change Ringing Wiki - Info for ringers