Campanology

Campanology (from Late Latin campana, "bell"; and Greek -λογία, -logia) is the study of bells. It encompasses the technology of bells — how they are cast, tuned and sounded — as well as the history, methods, and traditions of bell-ringing as an art.

It is common to collect together a set of tuned bells and treat the whole as one musical instrument. Such collections — such as a Flemish carillon, a Russian zvon, or an English "ring of bells" used for change ringing — have their own practices and challenges; and campanology is likewise the study of perfecting such instruments and composing and performing music for them.

In this sense, however, the word "campanology" is most often used in reference to relatively large bells, often hung in a tower. It is not usually applied to assemblages of smaller bells, such as a glockenspiel, a collection of tubular bells, or an Indonesian gamelan.

Shape and tuning

"A bell is divided into the body or barrel, the ear or cannon, and the clapper or tongue. The lip or sound bow is that part where the bell is struck by the clapper."[1] The traditional profile (or shape), hollow cup with wide flaring lip, of a bell is determined by the acoustic properties sought. The tone of a bell is increased with the depth of the bowl.[vague] Bells are generally around 80% copper and 20% tin (bell metal), with the tone varying according to material. Tone and pitch is also affected by the method in which a bell is struck. It will be noticed that in Asian large bells are often bowl shaped but lack the lip and are often not free-swinging. Also note the special shape of Bianzhong bells, allowing two tones. The scaling or size of most bells to each other may be approximated by the equation for circular cylinders: f=Ch/D2, where h is thickness, D is diameter, and C is a constant determined by the material and the profile.[2] Previously tuned through chipping, bells are now tuned after casting with vertical lathes by paring out the inside to flatten or edge to sharpen, with sharpening best being avoided.[3]

The Erfurt bell (1497)[4] or any well-tuned bell:[5] strike note on E with hum note, minor third, fifth, octave or nominal, and major third and perfect fifth in the second octave.

"Good tone means that a bell must be in tune with itself."[5] A bell is generally considered well-tuned if it corresponds to certain standards regarding its partials and thus proportions. These partials or elements of the sound of a bell are split up into hum (an octave below the named note, see subharmonic), strike tone (tap note, named note), tierce (minor third), quint (fifth), and nominal (octave). Further notes include the major third and perfect fifth in the second octave. "Whether a founder tunes the nominal or the strike note makes little difference, however, because the nominal is one of the main partials that determines the tuning of the strike note."[6] A heavy clapper brings out lower partials (clappers often being about 3% of a bell's mass), while a higher clapper velocity strengthens higher partials (0.4 m/s being moderate).

Spectrum of a Winchester Cathedral bell as analyzed by Jonathan Harvey using FFT.[7] "The bell produces a secondary pitch (f') which lies outside that 'inharmonic series though it is clearly audible when the bell is struck, 'to curiously thrilling and disturbing effect.'"[8] The strike tone is middle C, the hum tone an octave below.

On the theory that pieces in major keys may better be accommodated, after many unsatisfactory attempts, in the 1980s, using computer modeling for assistance in design by scientists at the Technical University in Eindhoven, bells with a major-third profile were created by the Eijsbouts Bellfoundry in the Netherlands,[6] being described as resembling old Coke bottles[9] in that they have a bulge around the middle;[10] and in 1999 a design without the bulge was announced.[2]

Carillons

Tuned bells

The carillon is a complex instrument that has been studied and minutely improved for highest musical quality. It draws both tourists and locals to the concerts and recitals. Professional campanologists like Jef Denyn had, and still have world fame[11]

The instrument is played sitting on a bench by hitting the top keyboard that allows expression through variation of touch, with the underside of the half-clenched fists, and the bottom keyboard with the feet, since the lower notes in particular require more physical strength than an organ, the latter not attaining the tonal range of the better carillons: for some of these, their bell producing the lowest tone, the 'bourdon', may weigh well over 8 tonnes; other fine ones settle for 5 to 6 tonnes. A carillon renders at least two octaves for which it needs 23 bells, though the finest have 47 to 56 bells or extravagantly even more, arranged in chromatic sequence, so tuned as to produce concordant harmony when many bells are sounded together.

The oldest are found in church towers in continental northern Europe, especially in cathedral towers in northern France and Belgium, where some (like the St. Rumbolds Tower in Mechelen, the Cathedral of Our Lady in Antwerp) became UNESCO World Heritage Sites – classified, rather misleadingly, with the Belfry of Bruges and its municipal Carillon under 'Belfries of Belgium and France'.
The carillon of Kirk in the Hills, Bloomfield Hills, Michigan, United States, along with the one at Hyechon College in Daejoen, South Korea, have the highest number of bells in the world: 77.
Modern large carillon edifices have been erected as stand-alone instruments across the world, for instance the Netherlands Carillon at Arlington National Cemetery. The carillon in the Church of St Peter, Aberdyfi, Gwynedd, Wales is often used to play the famous 'Bells of Aberdovey' tune.

Chimes

A carillon-like instrument with fewer than 23 bells is called a chime. American chimes usually have one to one and a half diatonic octaves. Many chimes play an automated piece of music. Chime bells generally used to lack dynamic variation and inner tuning, or the mathematical balance of a bell's complex sound, to permit use of harmony. Since the 20th century, in Belgium and The Netherlands, clock chime bells have inner tuning and produce complex fully harmonized music.[12]

These chimes, often singular chime, should not be confused with another musical instrument called chimes or tubular bells, nor with a wind chime.

Russian Orthodox bells

The bells in Russian tradition are sounded by their clappers, attached to ropes; a special system of ropes is developed individually for every belltower. All the ropes are gathered in one place, where the bell-ringer stands. The ropes (usually - all ropes) are not pulled, but rather pressed with hands or legs. Since one end of every rope is fixed, and the ropes are kept in tension, a press or even a punch on a rope makes a clapper move.

The Russian Tsar Bell is the largest extant bell in the world.

Change ringing

Change ringing in a church in Devon, England

In England the bells in church towers are generally hung for full circle ringing: every bell swings through a complete circle (actually a little more than 360 degrees) each time it sounds. Between strokes, it sits poised 'upside-down', with the mouth pointed upwards; pulling on a rope connected to the bell swings it down and its own momentum swings it back up again on the other side.

These rings of bells have relatively few bells, compared with a carillon; six or eight-bell towers are common, with the largest rings in numbering up to sixteen bells. The bells are usually tuned to fall in a diatonic scale without chromatic notes; they are traditionally numbered from the top downwards so that the highest bell (called the treble) is numbered 1 and the lowest bell (the tenor) has the highest number; it is usually the tonic note of the bells' scale.

To swing the heavy bells requires a ringer for each bell. Furthermore, the great inertias involved mean that the ringers have only a limited ability to retard or accelerate their bells' cycle. Along with the relatively limited palette of notes available, the upshot is that such rings of bells do not easily lend themselves to ringing melodies.

Method ringers can trace their bells' courses visually in a diagram called a blueline.)

Instead, a system of change ringing evolved, probably early in the seventeenth century, which centres on mathematical permutations. The ringers begin with rounds, which is simply ringing down the scale in order. (On six bells this would be 123456.) The ringing then proceeds in a series of rows or changes, each of which is some permutation of rounds (for example 214365) where no bell changes by more than one position from the preceding row(this is also known as the Steinhaus-Johnson-Trotter algorithm).

In call change ringing, one of the ringers (known as the conductor) calls out to tell the other ringers how to vary their order from row to row. Some ringers practice call changes exclusively; but for others, the essence of change ringing is method ringing.

Method ringing

In method or scientific ringing each ringer has memorized a pattern describing his or her bell's course from row to row; taken together, these patterns (along with only occasional calls made by a conductor) form an algorithm which cycles through the various available permutations.

Serious ringing always starts and ends with rounds; and it must always be true — each row must be unique, never repeated. A performance of a few hundred rows or so is called a touch; approximately five thousand rows make a peal (which takes about three hours to ring). A performance of all the possible permutations possible on a set of bells is called an extent; with $n$ bells there are $n$! possible permutations. Since 7!=5040, an extent on seven bells is a peal; 8!=40,320 and an extent on eight bells has only been accomplished once, taking nearly nineteen hours.

Ringing in English belltowers became a popular hobby in the late 17th century, in the Restoration era; the scientific approach which led to modern method ringing can be traced to two books of that era, Tintinnalogia or the Art of Ringing (published in 1668 by Richard Duckworth and Fabian Stedman) and Campanalogia (also by Stedman; first released 1677; see Bibliography). Today change ringing remains most popular in England but is practiced worldwide; over four thousand peals are rung each year.

Dorothy Sayers's mystery story, "The Nine Tailors" (1934) centers around change ringing of bells in a Fenland church.

Gamelan

Perhaps the best-known example from outside Europe of an organized system of bells is the gamelan, an Indonesian orchestra-like ensemble in which a prominent part is played by a variety of tuned bells, gongs, and metallophones.

References

1. ^ Beach, Frederick Converse and Rines, George Edwin (eds.) (1907). The Americana, p.BELL-SMITH—BELL. Scientific American. [1], [2].
2. ^ a b Rossing, Thomas D. (2000). Science of Percussion Instruments, p.139. ISBN 978-981-02-4158-2.
3. ^ Musical Association (1902), p.30.
4. ^ Musical Association (1902). Proceedings of the Musical Association, Volume 28, p.32. Whitehead & Miller, ltd.
5. ^ a b John Alexander Fuller-Maitland (1910). Grove's dictionary of music and musicians, p.615. The Macmillan company. Strike note shown on C. Hemony appears to be the first to propose this tuning.
6. ^ a b Neville Horner Fletcher, Thomas D. Rossing (1998). The Physics of Musical Instruments, p.685. ISBN 978-0-387-98374-5. Cites Schoofs et al., 1987 for major-third bell.
7. ^ Roads, Curtis, ed. (1992). Harvey Jonathan. "Moruos Plango, Vivos Voco: A Realization at IRCAM", The Music Machine, p.92. ISBN 978-0-262-68078-3. Harvey added, "a clearly audible, slow-decaying partial at 347 Hz with a beating component in it. It is a resultant of the various F harmonic series partials that can be clearly seen in the spectrum (5, [6], 7, 9, 11, 13, 17, etc.) beside the C-related partials."
8. ^ Downes, Michael (2009). Jonathan Harvey: Song offerings and White as jasmine, p.22. ISBN 978-0-7546-6022-4.
9. ^ www.cs.yale.edu/~douglas-craig/bells/Basic/what-is-a-carillon.pdf
10. ^ "Major third bell", Andrelehr.nl.
11. ^ "Jef Denyn Discography at Discogs". Retrieved July 31, 2012.
12. ^ Bell Facts – Bell Chimes

Bibliography

• Dove’s guide for church bell ringers to the ringing bells of Britain and of the world (2000)
• Duckworth, Richard and Stedman, Fabian (1970) [1668] Tintinnalogia; or, The art of ringing, 1st ed. reprinted, Bath : Kingsmead Reprints, ISBN 0-901571-41-5
• Ingram, Tom (1954) Bells of England. London: F. Muller
• Stedman, F. (1990) [1677] Campanalogia : or The art of ringing improved ..., facsimile of 1st ed., Kettering : C. Groome, ISBN 1-85580-001-2
• Walters, H. B. (1908) Church Bells. London: Mowbray
• Wilson, Wilfrid G. (1965) Change Ringing: The Art and Science of Change Ringing on Church and Hand Bells. London: Faber