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| [[Image:bells.devon.750pix.jpg|300px|right|thumb|Bell ringing practice in [[Stoke Gabriel]] parish church, [[Devon]], England]]
| | I might also like to encourage we to consult with your doctor before beginning any weight loss system. She or he could give you a fair high thought on a good goal for we.<br><br><br><br>There is another way of calculating BMI for girl if you never want to convert feet and pounds to meters plus kilograms. Take the earlier example of the female weighing in at 150 pounds. Take the pounds that are 150 and occasions it by 4.88 giving you 732, then derive the woman's height in feet squared that is (5.5 times 5.5) which is 20.25 feet squared. Now hold on to these two results we simply got. After that, divide the fat by the height squared, in this case it would be (732 separated by 30.25) as well as the outcome is 24.1 that is pretty close to the earlier metric formula's outcome. See how simple it is when it comes to BMI calculations for women!<br><br>The creation of the [http://safedietplans.com/calories-burned-walking calories burned calculator] greatly modified the method which clinicians implement plus read bodyweight as a signifies for condition protection plus forecast. While not a great measurement, being far more affordable plus non-invasive than regular methods, it will give a very extremely good signal of the body fat structure of the individual.<br><br>We could state that weight is a main problem which you are facing now days because folks are thus busy in their lifetime that they don't get time even to keep their body in ideal shape. However, almost all of we feel like placing extra fat from your body. Before you think about throwing mass from your body or placing up mass you should be aware of the actual calculation which you need to work about. BMI is a source that helps we to know about the exact proportion of fat you ought to take out or put up.<br><br>I hope you're in the regular range, but should you are overweight you are able to plan several weight reduction program considering the BMR plus current activity level plus hopefully better a wellness.<br><br>Many of you look to achieve the ideal physique or weight considering it not just assists us physically yet also enhances the looks and subsequently the self-confidence. Also, being overweight or underweight can cause different health issues. Age may be a state of mind, however the body will not constantly agree. Thus, getting elder can bring about the possibility of several wellness issues irrespective of gender. Especially inside women, menopause plus osteoporosis can pose serious health issues when a woman is overweight. Then, the ideal height to weight chart may be misleading for women over 60.<br><br>BMI is an inexpensive and practical screening tool used to measure body fat. The easy calculations are indirect and cannot be viewed because a specialist diagnostic tool. If a individual shows a significant BMI, he or she must consult a healthcare provider for further assessment. This could include skin-fold thickness measurements, diet evaluations, physical activity, family history review, and other appropriate wellness screening evaluations. |
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| '''Change ringing''' is the art of ringing a set of [[tuning (music)|tuned]] [[bell (instrument)|bells]] in a series of [[mathematics|mathematical]] patterns called "changes".
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| Change ringing differs from many other forms of [[campanology]] (such as [[carillon]] ringing) in that no attempt is made to produce a conventional [[melody]].
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| 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. A church's [[bell tower]] typically contains a set of few large [[church bells]] rigged to swing freely and known as a [[ring of bells]].
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| The considerable inertias involved mean that each bell usually requires its own ringer. Thus, contrasted with a carillon, in which a large number of bells are struck by hammers, all tied into a central framework so that one carillonneur can control them all, a set of such bells is comparatively unwieldy—hence the emergence of permutations rather than melody as an organizing principle.
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| ==The mechanics of change ringing on tower bells==
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| Today some towers have as many as sixteen bells which can be rung together; six or eight bells are more common for the average church. The bell highest in pitch is known as the ''treble'' and the bell lowest in pitch 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 counterintuitive to musicians, who are used to a numbering which ascends along with pitch.) The bells are usually tuned to a [[diatonic]] major [[Scale (music)|scale]], with the tenor bell being the tonic (or key) note of the scale. Some towers contain additional bells which are used to allow different subsets of the full number to 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.<ref>[http://dove.cccbr.org.uk/detail.php?searchString=Worcester&numPerPage=10&Submit=++Go++&searchBells=12%2B&searchAmount=%3D&searchMetric=cwt&sortBy=Place&sortDir=Asc&DoveID=WORCESTER Dove entry for] [[Worcester Cathedral]], a twelve bell tower with 3 semi-tone bells. [http://dove.cccbr.org.uk/dove.php?searchString=&numPerPage=10&Submit=++Go++&searchCountry=&searchDiocese=&searchPracN=&searchRingable=&searchBells=13%2B&searchNote=&searchAmount=%3D&searchWeight=&searchMetric=cwt&searchDetails=&searchGF=&searchSimulator=&searchToilet=&sortBy=Place&sortDir=Asc Search on Dove's Guide for towers with 13 or more bells], note that [[Christ Church Cathedral, Dublin]] is listed as having 16 bells, with additional sharp 6, 9 and 13; [[Swan Bells]], [[Perth, Western Australia]], is again a 16 but with additional flat 3 and 10. Retrieved 28 May 2008.</ref>
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| [[Image:St Leonards Bell.JPG|150px|thumb|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.]]
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| The bells in a tower reside in the ''bell chamber'' or ''belfry'' usually with [[Louver|louvred windows]] to enable the sound to escape.
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| 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 will be appreciably below the centreline of the trunnion supports, thus giving a [[pendulum|pendulous]] effect to the assembly and it is this dynamic which 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 bar with a large ball to strike the bell. The thickest part of the mouth of bell is called the soundbow and it is this that the ball strikes. Beyond the ball is a ''flight'' which controlls the speed of the clapper. In very small bells this can be nearly as long as the rest of the clapper.
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| 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 will pass before it drops into the ''ringing chamber'' or room. Typically, the rope's length will be such that it falls close to or on to the floor of the ringing chamber. About {{convert|5|ft}} from the floor, the rope will have a woollen grip called the ''sally'' (usually around 4 ft long) while the lower end of the rope will be doubled over to form an easily held ''tail-end''.
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| Unattended bells are normally left hanging in the normal ("down") position but prior to being rung, the bells will be ''rung up''. In the down position the bells are safe if a person touches them or pulls a rope. A bell which is up is dangerous to be near and only expert ringers should ever contemplate entering a bell chamber with the bells 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 just beyond the balance point with the stay resting against the slider.
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| The 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 will be 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 will first pull the sally towards the floor, upsetting the bell's balance and causing it to swing 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.
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| 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 will ring the ''backstroke'' by pulling the tail-end, causing the bell to swing back towards its starting position. As the sally rises the ringer will catch it to pause the bell at its balance position.
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| 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 will pass over the top and rest against the soundbow.
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| In change ringing where the order in which the bells strike is constantly being altered, it is necessary to time the swing so that this strike occurs with precise positioning within the overall pattern. Of course, 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 force 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; after all, even the smallest bell to be encountered in a tower will be much heavier than the person ringing it. The heaviest bell hung for full-circle ringing is in [[Liverpool Cathedral]] and weighs over four [[long ton]]s (over four [[metric ton]]s).<ref>{{cite web|url=http://www.whitechapelbellfoundry.co.uk/foundry.htm |title=history |publisher=Whitechapel Bell Foundry |date= |accessdate=23 June 2009}}</ref> Despite this colossal weight, it can be safely rung by one (experienced) ringer.
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| (Whilst heavier bells exist—for example [[Clock Tower, Palace of Westminster|Big Ben]]—they are generally only chimed, either by swinging the bell slightly or using a mechanical hammer.)
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| ===Handbells===
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| Change ringing can also be carried out on [[handbell]]s (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 to do so would have signified an invasion); although the ringers returned to the towers as soon as the war was over, for a number of years thereafter handbell ringing retained great popularity{{Citation needed|date=August 2007}}.
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| 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 [[peal]]s, including the longest peal ever rung, come from handbell ringers.
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| 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.
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| There is, however, a second school of change ringing on handbells, which uses a technique called 'lapping', or 'cross and stretch': the ringers stand or sit in a straight line at a single convenient table, from which they pick up a bell each time they ring it; and to which they thereupon return it. But as the sequence of the bells is permuted the ringers physically swap the bells accordingly; the bells actually move up and down the table and each row is rung in strict sequence from right to left. A ringer in cross and stretch thus does not have responsibility for his or her own personal bell but handles each as it comes.
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| ==Permuting the bells==
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| 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 will 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.
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| 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]] to govern the swaps which 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 by the ringers.
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| ===Call change ringing===
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| 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]].
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| 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 will consistently use one system in preference to the other.
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| As an example, consider the following sequence of rows, and the calls a conductor would use to evoke them:
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| ::{| class="wikitable"
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| ! style="text-align:center;"| Row
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| ! align-"center" | Conductor's intent | |
| ! style="text-align:center;"| Call, if calling Up
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| ! style="text-align:center;"| Call, if calling Down
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| |-
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| | style="text-align:center;"| 1,<span style="color:red;">2<span style="color:black;">,<span style="color:red;">3<span style="color:black;">,4,5,6
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| | ''to swap bells 2 and 3''
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| | style="text-align:center;"| "2 to 3"
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| | style="text-align:center;"| "3 to Treble"
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| |-
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| | style="text-align:center;"| 1,3,2,<span style="color:red;">4,5<span style="color:black;">,6
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| | ''to swap bells 4 and 5''
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| | style="text-align:center;"| "4 to 5"
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| | style="text-align:center;"| "5 to 2"
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| |-
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| | style="text-align:center;"| 1,3,<span style="color:red;">2,5<span style="color:black;">,4,6
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| | ''to swap bells 2 and 5''
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| | style="text-align:center;"| "2 to 5"
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| | style="text-align:center;"| "5 to 3"
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| |-
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| | style="text-align:center;"| <span style="color:red;">1,3<span style="color:black;">,5,2,4,6
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| | ''to swap bells 1 and 3''
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| | style="text-align:center;"| "1 to 3"
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| | style="text-align:center;"| "3 to lead"
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| |-
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| | style="text-align:center;"| 3,1,5,2,4,6
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| |}
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| Thus it can be seen how these two ways of calling differ:
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| *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).
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| *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 which the first-named bell is to follow, does not alter its place in the row: it still immediately precedes the swapping pair. The bell which swaps with the one moving down towards lead, on the other hand, is not itself named; its ringer must simply realize that his or her bell must move ''up'' to accommodate the first-named bell.
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| In both cases, the ringer of the bell immediately above (behind) the swapping pair must also be alert, as this bell will be following a new bell after the swap. Rarer forms of call- 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.
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| ===Method ringing===
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| [[Image:Plain-bob-minor 2.png|200px|right|thumb|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.]]
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| {{main|Method ringing}}
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| 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.
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| 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".
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| 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 <math>n</math> bells, they will have <math>n!</math> (read [[factorial]]) possible permutations, a number that becomes quite large as <math>n</math> 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.<ref>[http://www.cccbr.org.uk/rc/long_lengths/40320_plain_bob_major.html Online peal board], from the Central Council records committee{{dead link|date=July 2013}}</ref>) An extent on 12 bells would take over thirty years.
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| 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 ''trueness'' 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.
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| {{Listen|filename=Bob Minor, Synthesised Bell Sounds.ogg|title=Plain Bob Minor|description=Plain Bob Minor played using synthesised bell sounds. The bells start ringing rounds followed by a plain course of Plain Bob Minor (60 of the 720 changes that are possible on six bells) and finish in rounds again.|format=[[Ogg]]}}
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| ===Half-muffling===
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| For commemorative services such as [[funeral]]s, [[memorial]] services and [[Remembrance Sunday]], the bells are rung half-muffled. Very rarely, normally only for the death of a Sovereign, are the bells rung fully muffled.<ref name=CCCBR>{{cite web |url=http://www.cccbr.org.uk/pubs/guidelines/gdlnCommemRinging.php |title=Commemorative Ringing |author= |date=13 March 2004 |work=The Central Council of Church Bell Ringers official website |publisher=The Central Council of Church Bell Ringers |accessdate=31 May 2011}}</ref>
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| To ring half-muffled a thick leather pad called a muffle is strapped to one side of each bell's [[Bell clapper|clapper]]. This deadens the sound of alternate strokes of the bells, the muffled stroke 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.<ref name=CCCBR/>
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| ==History and modern culture of change ringing==
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| 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<ref>{{cite web|url=http://www.lincolncathedral.com/xhtml/default.asp?UserLinkID=62279|title=Company of Ringers|accessdate=18 April 2007|work=[[Lincoln Cathedral]] website|year=2006}}{{dead link|date=July 2013}}</ref> or the ''Antient{{sic}}<!--sic, please don't "correct" this spelling--> Society of Ringers of St Stephen'' in Bristol which was founded in 1620 and lasted as a ringing society until the late 19th century.<ref>{{cite web|url=http://www.ststephens.me.uk/web/the_city.htm#ringers|title=THE ANTIENT SOCIETY OF RINGERS|accessdate=18 April 2007|work=Website of St Stephen's, the parish church for the City of Bristol, England |archiveurl = http://web.archive.org/web/20070703100218/http://www.ststephens.me.uk/web/the_city.htm#ringers <!-- Bot retrieved archive --> |archivedate = 3 July 2007}}</ref> The recreation began to flourish in earnest in the [[The Restoration|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.''
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| Throughout the years since, the [[group theory|group theoretical]] underpinnings of change ringing have been pursued by [[mathematicians]].<ref>"Changes" can be viewed as permutations; sets of permutations constitute mathematical [[Group (mathematics)|groups]], which in turn can be depicted via so-called [[Cayley graph]]s, which in turn can be mapped onto [[polyhedron|polyhedra]]. Web pages:
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| * Introduction to change ringing and group theory : [http://mathcs.holycross.edu/~groberts/Courses/MA110/Handouts/bells.pdf Mathematics and Music: Change Ringing].
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| * Introduction to change ringing and both group theory and graph theory (with references) : [http://math.lib.umn.edu/changeringing.html "The Mathematics of Change Ringing"].
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| * Change ringing as directed graphs on polyhedra : [http://xweb.geos.ed.ac.uk/~hcp/bells/ Bell-ringing methods as polyhedra].
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| * Change ringing graphs on polyhedra that can rotated via cursor : [http://www.ex-parrot.com/~richard/minimus/polyhedra/ Minimus Polyhedra].
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| Some literature on the mathematics of change ringing:
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| * Ian Stewart, ''Another Fine Math You've Got Me Into'' (New York, New York : W.H. Freeman, 1992), Chapter 13 (pages 199-219).
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| * F.J. Budden, ''The Fascination of Groups'', (Cambridge, England: Cambridge University Press, 1972), Chapter 24: "Ringing the changes: groups and campanology," pages 451-479.
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| * Arthur White and Robin Wilson (March 1995) [http://math.boisestate.edu/~tconklin/MATH124/Main/Notes/8%20Group%20Theory/Group%20Theory/The%20Hunting%20Group.pdf "The hunting group,"] ''The Mathematical Gazette'', vol. 79, no. 484, pages 5-16.
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| * Arthur T. White (1987) "Ringing the cosets," ''American Mathematical Monthly'', vol. 94 , pages 721-746.</ref> 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 be the first true peal: 5040 changes of ''Plain Bob Triples'' (a method still popular today), rung 2 May 1715.<ref>[http://www.cccbr.org.uk/prc/pubs/bellsAndBellringing.php Bells and Bellringing], from the CCCBR. There is some evidence there may have been an earlier peal (also Plain Bob Triples), rung January 7, 1690 at [[St Sepulchre-without-Newgate]] in the [[City of London]] by the [[Ancient Society of College Youths]]; see [http://www.ascy.org.uk/his_landmarks.htm Landmarks in the History of the Society], from the ASCY.</ref> Today over 4000 peals are rung each year.
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| ===Organisation and extent===
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| 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]]'',<ref>{{official website|www.ringingworld.co.uk|The Ringing World}}</ref> 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.
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| 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<ref>{{cite web | url = http://peals.co.uk/pealdetails.asp?serno=H2007/0211 | publisher = [[The Ringing World]] | work = peals.co.uk | title = 72000 Treble Dodging Minor (100m) }}</ref>) 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.
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| 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]]''.
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| {{As of|2007|4}}, that guide lists 5750 ringable [[ring of bells|rings of bells]] in England, 181 in [[Wales]], 35 in [[Ireland]], 20 in [[Scotland]], 10 in the [[Channel Islands]], 2 in the [[Isle of Man]] and a further 123 towers worldwide with bells hung for full circle ringing.<ref name = Dove/> Australia has 45 rings of bells.<ref>[http://www.parramattanorth.anglican.asn.au/the-church/ All Saints' Bells]</ref> Others are located in the [[USA]], [[Canada]], [[New Zealand]], [[South Africa]], [[Italy]], [[Kenya]], [[India]], [[Bangladesh]], [[Pakistan]] and [[Spain]].<ref name = Dove>{{cite web
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| | url = http://www.cccbr.org.uk/dove/dove.php
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| | title = Dove's Guide for Church bell Ringers
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| | accessdate = 30 April 2007
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| | last = Dove
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| | first = Ron
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| | authorlink =
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| | coauthors = Baldwin, Sid
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| | date = 29 April 2007
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| | work = Central Council of Church Bell Ringers website
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| | publisher = Central Council of Church Bell Ringers
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| }}
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| </ref>
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| ===Number of bells===<!--[[Doubles (bells)]] and [[Triples]] redirect directly here.-->
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| 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 church]]es with bell towers in the UK are fitted with only six bells.
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| "Plain Bob Doubles" is a method rung on five bells whereas "Plain Bob Triples" is the same method rung on seven working bells.
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| 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.
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| {| class="wikitable" style="float: left; margin: 1em;"
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| |-
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| !colspan="2"|Even numbers of bells
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| |-
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| ! Number of bells
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| ! Name
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| |-
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| | 4
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| | Minimus
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| |-
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| | 6
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| | Minor
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| |-
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| | 8
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| | Major
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| |-
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| | 10
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| | Royal
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| |-
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| | 12
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| | Maximus
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| |}
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| {| class="wikitable" style="float: left; margin: 1em;"
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| |-
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| !colspan="2"|Odd numbers of bells
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| |-
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| ! Number of bells
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| ! Name
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| |-
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| | 3
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| | Singles
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| |-
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| | 5
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| | Doubles
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| |-
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| | 7
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| | Triples
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| |-
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| | 9
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| | Caters
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| |-
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| | 11
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| | Cinques
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| |}
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| {{clearboth}}
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| 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]].
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| 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.
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| ===Named changes===
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| 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.
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| ::{| class="wikitable"
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| ! style="text-align:center;"| Change
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| ! align-"center" | Name
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| |-
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| | 12345678 ({{Audio|Rounds.ogg|listen}})
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| | Rounds
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| |-
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| | 87654321 ({{Audio|Back Rounds.ogg|listen}})
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| | Back rounds or Reverse Rounds<ref>Some sources (e.g. [http://www.heatons.fsnet.co.uk/Ringing/Articles/Named.htm]) define back rounds slightly differently, as 76543218.</ref>
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| |-
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| | 13572468 ({{Audio|Queens.ogg|listen}})
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| | Queens ''(an apocryphal story says it appealed to [[Elizabeth of England|Elizabeth I]])''
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| |-
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| | 15263748 ({{Audio|Tittums.ogg|listen}})
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| | Tittums ''(so named because of the ti-tum ti-tum sound it makes)''
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| |}
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| 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]]".<ref>This is particularly effective at the end of ringing down. The bells are in order and so if not chimed leave a pause, the sequence becomes: 1..4..23.5 where a dot indicates a pause.</ref>
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| You can find a full list of Called changes at [http://www.campaniles.co.uk/maw/callchanges.html MAW Call Change Collection]
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| ===Striking===
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| 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.
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| 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, method ringing in the South West of England employs the open-handstroke as is the universal convention.
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| 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 least number of 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 for the quality of the rise and lower of the bells to be included as part of the judged performance. 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.
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| ===Splicing bell ropes===
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| [[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.<ref>{{cite book
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| | last = Beech
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| | first = Frank
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| | title = Splicing Bell Ropes Illustrated
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| | edition = first
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| | year = 2005
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| | publisher = Central Council of Church Bell Ringers
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| | isbn = 0-900271-82-5
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| | pages = 1–32
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| }}</ref>
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| == Change ringing in literature and television ==
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| 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.
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| [[Connie Willis]], who frequently and overtly [[To Say Nothing of the Dog#The mystery novel|references]] Sayers in ''[[To Say Nothing of the Dog]]'' (1997), features bell ringers in her earlier novel ''[[Doomsday Book (novel)|Doomsday Book]]'' (1992); a group of American women led by a Mrs. Taylor frequently appears practising for or ringing both handbells and changes.
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| 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]]".
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| In the science-fiction novel ''[[Anathem]]'' by [[Neal Stephenson]] (2008) changes are rung in a cloistered monastery for mathematicians to signal different ceremonies.
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| ==See also==
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| *[[Whitechapel Bell Foundry]]
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| *[[John Taylor & Co]]
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| *[[Grandsire]]
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| *[[Change ringing software]]
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| *''[[The Nine Tailors]]''
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| *[[Braid theory]]
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| *[[Doubles (bells)]]
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| *[[Handbell]]
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| *[[Steinhaus–Johnson–Trotter algorithm]]
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| *[[Veronese bellringing art]]
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| ==Notes==
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| {{Reflist}}
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| ==References==
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| *[http://www.cccbr.org.uk/prc/pubs/bellsAndBellringing.php Bells and Bellringing]{{dead link|date=July 2013}}, a presentation prepared by the Publications Committee of the Central Council of Church Bell Ringers
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| ==External links==
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| *[http://www.bellringingfilm.co.uk ''The Craft of Bellringing''], a DVD documentary about change ringing
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| *[http://www.bellringing.org Discover Bell Ringing] - introduction for non-ringers
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| *[http://www.ringing.info ringing.info], a wide-ranging and well-organized compendium of ringing links
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| *[http://www.ringing.org.uk St Oswalds, Oswestry Ringing Society], The website for the bell ringers of the St Oswalds Church Bell Ringers Association
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| *[http://www.cccbr.org.uk The Central Council of Church Bell Ringers]
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| *[http://www.methods.org.uk/ccdecs.htm Central Council decisions] — scroll down the page to see the council's definition of a peal
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| *[http://www.ringingworld.co.uk/ ''Ringing World''], the Council's weekly journal
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| *[http://dove.cccbr.org.uk/home.php Dove's Guide], a directory of towers worldwide with bells hung for change ringing
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| *[http://www.inspirewebdesign.com/home/mpaw/soundindex.asp Some recordings of change ringing]
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| *{{gutenberg|no=18567|name=Tintinnalogia, or, the Art of Ringing (by Richard Duckworth and Fabian Stedman, 1668)}}
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| *[http://www.changeringing.co.uk/wiki/index.php/Main_Page Change Ringing Wiki - Info for ringers]
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| {{Bells}}
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| {{DEFAULTSORT:Change Ringing}}
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| [[Category:Bell ringing]]
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| [[Category:Permutations]]
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| [[Category:English culture]]
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| [[Category:Christian music genres]]
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| [[Category:English music]]
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| {{Link FA|de}}
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