A bell is a directly struck idiophone percussion instrument. Most bells have the shape of a hollow cup that when struck vibrates in a single strong strike tone, with its sides forming an efficient resonator. The strike may be made by an internal "clapper" or "uvula", an external hammer, or—in small bells—by a small loose sphere enclosed within the body of the bell (jingle bell).
Bells are usually cast from bell metal (a type of bronze) for its resonant properties, but can also be made from other hard materials; this depends on the function. Some small bells such as ornamental bells or cow bells can be made from cast or pressed metal, glass or ceramic, but large bells such as church, clock and tower bells are normally cast from bell metal.
Bells intended to be heard over a wide area can range from a single bell hung in a turret or bell-gable, to a musical ensemble such as an English ring of bells, a carillon or a Russian zvon which are tuned to a common scale and installed in a bell tower. Many public or institutional buildings house bells, most commonly as clock bells to sound the hours and quarters.
Historically, bells have been associated with religious rites, and are still used to call communities together for religious services. Later, bells were made to commemorate important events or people and have been associated with the concepts of peace and freedom. The study of bells is called campanology.
Parts of a typical tower bell hung for swinging: 1. Bell yoke or headstock 2. canons, 3. crown, 4. shoulder, 5. waist, 6. sound bow, 7. lip, 8. mouth, 9. clapper, 10. bead line
(Bells: Percussion vessels with the vibration weakest near the vertex)
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|Chimes, cowbell, handbell, gong|
Bell is a word common to the Low German dialects, cognate with Middle Low German belle and Dutch bel but not appearing among the other Germanic languages except the Icelandic bjalla which was a loanword from Old English. It is popularly but not certainly related to the former sense of to bell (Old English: bellan, "to roar, to make a loud noise") which gave rise to bellow.
The earliest archaeological evidence of bells dates from the 3rd millennium BC, and is traced to the Yangshao culture of Neolithic China. Clapper-bells made of pottery have been found in several archaeological sites. The pottery bells later developed into metal bells. In West Asia, the first bells appear in 1000 BC.
The earliest metal bells, with one found in the Taosi site and four in the Erlitou site, are dated to about 2000 BC. Early bells not only have an important role in generating metal sound, but arguably played a prominent cultural role. With the emergence of other kinds of bells during the Shang Dynasty (c. 1600 – c. 1050 BC), they were relegated to subservient functions; at Shang and Zhou sites, they are also found as part of the horse-and-chariot gear and as collar-bells of dogs.
The book of Exodus in the Bible notes that small gold bells were worn as ornaments on the hem of the robe of the high priest in Jerusalem. Among the ancient Greeks, hand bells were used in camps and garrisons and by patrols that went around to visit sentinals. Among the Romans, the hour of bathing was announced by a bell. They also used them in the home, as an ornament and emblem, and bells were placed around the necks of cattle and sheep so they could be found if they strayed.
See also Klang Bell (Malaysia, 2 c. BC) of the British Museum collection.
In the western world, the common form of bell is a church bell or town bell, which is hung within a tower or bell cote. Such bells are either fixed in a static position ("hung dead") or mounted on a beam (the "headstock") so they can swing to and fro. Bells that are hung dead are normally sounded by hitting the sound bow with a hammer or occasionally by pulling an internal clapper against the bell.
Where a bell is swung it can either be swung over a small arc by a rope and lever or by using a rope on a wheel to swing the bell higher. As the bell swings higher the sound is projected outwards rather than downwards. Larger bells may be swung using electric motors. In some places, such as Salzburg Cathedral the clappers are held against the sound bow whilst the bells are raised, then released sequentially to give a clean start to the ringing. At the end they are successively caught again by the mechanism to silence the bells.
Bells hung for full circle ringing are swung through just over a complete circle from mouth uppermost. A stay (the wooden pole seen sticking up when the bells are down) engages a mechanism to allow the bell to rest just past its balance point. The rope is attached to one side of a wheel so that a different amount of rope is wound on and off as it swings to and fro. The bells are controlled by ringers (one to a bell) in a chamber below, who rotate the bell to through a full circle and back, and control the speed of oscillation when the bell is mouth upwards at the balance-point, when little effort is required.
Swinging bells are sounded by an internal clapper. The clapper may have a longer period of swing than the bell. In this case the bell will catch up with the clapper and if rung to or near full circle will carry the clapper up on the bell's trailing side. Alternatively, the clapper may have a shorter period and catch up with the bell's leading side, travel up with the bell coming to rest on the downhill side. This latter method is used in English style full circle ringing.
Occasionally the clappers have leather pads (called muffles) strapped around them to quieten the bells when practice ringing to avoid annoying the neighbourhood. Also at funerals, half-muffles are often used to give a full open sound on one round, and a muffled sound on the alternate round – a distinctive, mournful effect. This was done at the Funeral of Diana, Princess of Wales in 1997.
A carillon, which is a musical instrument consisting of at least 23 cast bronze cup-shaped bells, is tuned so that the bells can be played serially to produce a melody, or sounded together to play a chord. A traditional carillon is played by striking a baton keyboard with the fists, and by pressing the keys of a pedal keyboard with the feet. The keys mechanically activate levers and wires that connect to metal clappers that strike the inside of the bells, allowing the performer to vary the intensity of the note according to the force applied to the key.
In the Eastern world, the traditional forms of bells are temple and palace bells, small ones being rung by a sharp rap with a stick, and very large ones rung by a blow from the outside by a large swinging beam. (See images of the great bell of Mii-dera below.)
The striking technique is employed worldwide for some of the largest tower-borne bells, because swinging the bells themselves could damage their towers.
In the Roman Catholic Church and among some High Lutherans and Anglicans, small hand-held bells, called Sanctus or sacring bells, are often rung by a server at Mass when the priest holds high up first the host and then the chalice immediately after he has said the words of consecration over them (the moment known as the Elevation). This serves to indicate to the congregation that the bread and wine have just been transformed into the Body and Blood of Christ (see transubstantiation), or, in the alternative Reformation teaching, that Christ is now bodily present in the elements, and that what the priest is holding up for them to look at is Christ himself (see consubstantiation).
In Russian Orthodox bell ringing, the entire bell never moves, only the clapper. A complex system of ropes is developed and used uniquely for every bell tower. Some ropes (the smaller ones) are played by hand, the bigger ropes are played by foot.
Japanese Shintoist and Buddhist bells are used in religious ceremonies. Suzu, a homophone meaning both "cool" and "refreshing", are spherical bells which contain metal pellets that produce sound from the inside. The hemispherical bell is the Kane bell, which is struck on the outside. Large suspended temple bells are known as bonshō. (See also ja:鈴, ja:梵鐘).
Hindu and Buddhist bells, called "Ghanta" in Sanskrit, are used in religious ceremonies. See also singing bowls. A bell hangs at the gate of many Hindu temples and is rung at the moment one enters the temple.
The process of casting bells is called bellfounding, and in Europe dates to the 4th or 5th century. The traditional metal for these bells is a bronze of about 23% tin. Known as bell metal, this alloy is also the traditional alloy for the finest Turkish and Chinese cymbals. Other materials sometimes used for large bells include brass and iron. Steel was tried during the busy church-building period of mid-19th-century England, because it was more economical than bronze, but was found not to be durable and manufacture ceased in the 1870s.
Small bells were originally made with the lost wax process but large bells are cast mouth downwards by filling the air space in a two-part mould with molten metal. Such a mould has an outer section clamped to a base-plate on which an inner core has been constructed.
The core is built on the base-plate using porous materials such as coke or brick and then covered in loam well mixed with straw and horse manure. This is given a profile corresponding to the inside shape of the finished bell, and dried with gentle heat. Graphite and whiting are applied to form the final, smooth surface.
The outside of the mould is made within a perforated cast iron case, larger than the finished bell, containing the loam mixture which is shaped, dried and smoothed in the same way as the core. The case is inverted (mouth down), lowered over the core and clamped to the base plate. The clamped mould is supported, usually by being buried in a casting pit to bear the weight of metal and to allow even cooling.
Historically, before road, rail transport of large bells was possible, a "bell pit" was often dug in the grounds of the building where the bell was to be installed. Molten bell metal is poured into the mould through a box lined with foundry sand. The founder would bring his casting tools to the site, and a furnace would be built next to the pit.
Large bells are generally around 80% copper and 20% tin (bell metal), which has been found empirically to give the most pleasant tone. However, the tone of a bell is mostly due to its shape. A bell is regarded as having a good tone when it's "in tune with itself". In western bell founding, this is known as "harmonic tuning" of a bell, which results in the bell's strongest harmonics being in harmony with each other and the strike note. This produces the brightest and purest sound, which is the attractive sound of a good bell. A huge amount of effort has been expended over the centuries in finding the shape which will produce the harmonically tuned bell.
The accompanying musical staves show the series of harmonics which are generated when a bell is struck. The Erfurt bell bell is notable that it although it is an old bell, it is harmonically tuned, but was not typical of its time. Pieter and François Hemony in the 17th century reliably cast many bells for carillons of unequalled quality of tuning for the time, but after their death their guarded trade secrets were lost, and not until the 19th century were bells of comparable tuning quality cast. It was only in modern times that repeatable harmonic tuning using a known scientific basis was achieved.The main partials (or harmonics) of a well-tuned bell are:
Further, less-audible, harmonics include the major third and a perfect fifth in the second octave above the named note.
This quest by various founders over centuries of bell founding has resulted in development of an optimum profile for casting each size of bell to give true harmonic tuning. Although bells are cast to accurate patterns, variations in casting mean that a final tuning is necessary as the shape of the bell is critical in producing the desired strike note and associated harmonics. Tuning is undertaken by clamping the bell on a large rotating table, and using a cutting tool to remove metal. This is an iterative process in which metal is removed from certain parts of the bell to change certain harmonics. This process was made possible historically by the use of tuning forks to find sympathetic resonance on specific parts of a bell for the harmonic being tuned, but today electronic strobe tuners are normally used. To tune the strike note, the nominal or the strike note are tuned; the effect is usually the same because the nominal is one of the main partials that determines the tone of the strike note. The thickness of a church bell at its thickest part, called the "sound bow", is usually one thirteenth its diameter. If the bell is mounted as cast, it is called a "maiden bell". 
The traditional harmonically tuned bell has a minor third as a main harmonic. On the theory that western music in major keys may sound better on bells with a major third as a harmonic, production of bells with major thirds was attempted in the 1980s. Scientists at the Technical University in Eindhoven, using computer modelling, produced bell profiles which were cast by the Eijsbouts Bellfoundry in the Netherlands. They were described as resembling old Coke bottles in that they had a bulge around the middle; In 1999 a design without the bulge was announced. However, the major bell concept has found little favour, and minor third bells are almost universally cast today.
Bells are also associated with clocks, indicating the hour by the striking of bells. Indeed, the word clock comes from the Latin word Cloca, meaning bell. Bells in clock towers or bell towers can be heard over long distances, which was especially important in the time when clocks were too expensive for widespread use.
In the case of clock towers and grandfather clocks, a particular sequence of tones may be played to distinguish between the hour, half-hour, quarter-hour, or other intervals. One common pattern is called "Westminster Quarters," a sixteen-note pattern named after the Palace of Westminster which popularized it as the measure used by Big Ben.
Some bells are used as musical instruments, such as carillons, (clock) chimes, agogô, or ensembles of bell-players, called bell choirs, using hand-held bells of varying tones. A "ring of bells" is a set of four to twelve or more bells used in change ringing, a particular method of ringing bells in patterns. A peal in changing ringing may have bells playing for several hours, playing 5,000 or more patterns without a break or repetition. They have also been used in many kinds of popular music, such as in AC/DC's "Hells Bells" and Metallica's "For Whom the Bell Tolls".
The ancient Chinese bronze chime bells called bianzhong or zhong / zeng (鐘) were used as polyphonic musical instruments and some have been dated at between 2000 and 3600 years old. Tuned bells have been created and used for musical performance in many cultures but zhong are unique among all other types of cast bells in several respects and they rank among the highest achievements of Chinese bronze casting technology. However, the remarkable secret of their design and the method of casting—known only to the Chinese in antiquity—was lost in later generations and was not fully rediscovered and understood until the 20th century.
In 1978 a complete ceremonial set of 65 zhong bells was found in a near-perfect state of preservation during the excavation of the tomb of Marquis Yi, ruler of Zeng, one of the Warring States. Their special shape gives them the ability to produce two different musical tones, depending on where they are struck. The interval between these notes on each bell is either a major or minor third, equivalent to a distance of four or five notes on a piano.
The bells of Marquis Yi—which were still fully playable after almost 2500 years—cover a range of slightly less than five octaves but thanks to their dual-tone capability, the set can sound a complete 12-tone scale—predating the development of the European 12-tone system by some 2000 years—and can play melodies in diatonic and pentatonic scales.
In more recent times, the top of bells in China was usually decorated with a small dragon, known as pulao; the figure of the dragon served as a hook for hanging the bell.
Konguro'o is a small bell which, like the Djalaajyn, was first used for utilitarian purposes and only later for artistic ones. Konguro'o rang when moving to new places. They were fastened to the horse harnesses and created a very specific "smart" sound background. Konguro'o also hung on the neck of the leader goat, which the sheep herd followed. This led to the association in folk memory between the distinctive sound of konguro'o and the nomadic way of life.
To make this instrument, Kyrgyz foremen used copper, bronze, iron and brass. They also decorated it with artistic carving and covered it with silver. Sizes of the instruments might vary within certain limits, what depended on its function. Every bell had its own timbre.
A variant on the bell is the tubular bell. Several of these metal tubes which are struck manually with hammers, form an instrument named tubular bells or chimes. In the case of wind or aeolian chimes, the tubes are blown against one another by the wind.
The skrabalai is a traditional folk instrument in Lithuania which consists of wooden bells of various sizes hanging in several vertical rows with one or two wooden or metal small clappers hanging inside them. It is played with two wooden sticks. When the skrabalai is moved a clapper knocks at the wall of the trough. The pitch of the sound depends on the size of the wooden trough. The instrument developed from wooden cowbells that shepherds would tie to cows' necks.
Whereas the church and temple bells called to mass or religious service, bells were used on farms for more secular signaling. The greater farms in Scandinavia usually had a small bell-tower resting on the top of the barn. The bell was used to call the workers from the field at the end of the day's work.
In folk tradition, it is recorded that each church and possibly several farms had their specific rhymes connected to the sound of the specific bells. An example is the Pete Seeger and Idris Davies song "The Bells of Rhymney".
The following organizations promote the ringing, study, music, collection, preservation and restoration of bells. Nation(s) covered are given in parenthesis.
China seems to have produced the earliest bells anywhere in the world... the earliest metal bells may have been derived from pottery prototypes, which seem to go back to the late stage of the Yang-Shao culture (early third millennium BC)
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, , 7, 9, 11, 13, 17, etc.) beside the C-related partials.
Alexander Graham Bell ('Graham' pronounced ) (March 3, 1847 – August 2, 1922) was a Scottish-born scientist, inventor, engineer, and innovator who is credited with inventing and patenting the first practical telephone. He also founded the American Telephone and Telegraph Company (AT&T) in 1885.Bell's father, grandfather, and brother had all been associated with work on elocution and speech and both his mother and wife were deaf, profoundly influencing Bell's life's work. His research on hearing and speech further led him to experiment with hearing devices which eventually culminated in Bell being awarded the first U.S. patent for the telephone in 1876. Bell considered his invention an intrusion on his real work as a scientist and refused to have a telephone in his study.Many other inventions marked Bell's later life, including groundbreaking work in optical telecommunications, hydrofoils, and aeronautics. Although Bell was not one of the 33 founders of the National Geographic Society, he had a strong influence on the magazine while serving as the second president from January 7, 1898, until 1903.Kristen Bell
Kristen Anne Bell (born July 18, 1980) is an American actress. She began her acting career by starring in stage productions while attending the Tisch School of the Arts in New York. In 2001, she made her Broadway debut as Becky Thatcher in The Adventures of Tom Sawyer and starred in the Broadway revival of The Crucible the following year. In 2004, she appeared in the film Spartan and won praise for her performance in Gracie's Choice.
Bell garnered critical acclaim for her first major role as the title character in the teen noir drama television series Veronica Mars (2004–07). For her performance, she was awarded a Saturn Award for Best Actress on Television. She reprised the eponymous role in the 2014 film continuation and the 2019 revival series. During her time on Veronica Mars, Bell starred as Mary Lane in the musical film Reefer Madness: The Movie Musical (2005), a reprise of the role she had played in the New York musical upon which the film was based. From 2007 to 2008, Bell starred as Elle Bishop in the science fiction drama series Heroes. From 2007 to 2012, she voiced the titular narrator in the teen drama series Gossip Girl.
In 2008, she had her breakout film role as the title character in Forgetting Sarah Marshall. She has since appeared in a number of comedy films, including Couples Retreat (2009), When in Rome (2010), You Again (2010), The Boss (2016), Bad Moms (2016), and A Bad Moms Christmas (2017). Bell garnered further recognition for voicing Princess Anna in the Disney animated fantasy films Frozen (2013) and Ralph Breaks the Internet (2018), the short films Frozen Fever (2015) and Olaf's Frozen Adventure (2017), and the upcoming Frozen 2 (2019).
From 2012 to 2016, Bell starred as Jeannie van der Hooven, the female lead on the Showtime comedy series House of Lies. Since 2016, she has starred in the lead role of Eleanor Shellstrop on the acclaimed NBC comedy series The Good Place, for which she received a Golden Globe Award nomination for Best Actress – Television Series Musical or Comedy.Normal distribution
In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.
The normal distribution is useful because of the central limit theorem. In its most general form, under some conditions (which include finite variance), it states that averages of samples of observations of random variables independently drawn from independent distributions converge in distribution to the normal, that is, they become normally distributed when the number of observations is sufficiently large. Physical quantities that are expected to be the sum of many independent processes (such as measurement errors) often have distributions that are nearly normal. Moreover, many results and methods (such as propagation of uncertainty and least squares parameter fitting) can be derived analytically in explicit form when the relevant variables are normally distributed.
The normal distribution is sometimes informally called the bell curve. However, many other distributions are bell-shaped (such as the Cauchy, Student's t-, and logistic distributions).
The probability density of the normal distribution is
Taco Bell is an American chain of fast food restaurants based out of Irvine, California and a subsidiary of Yum! Brands, Inc. The restaurants serve a variety of Mexican inspired foods that include tacos, burritos, quesadillas, nachos, novelty and specialty items, and a variety of "value menu" items. As of 2018, Taco Bell serves more than 2 billion customers each year at 7,072 restaurants, more than 93 percent of which are owned and operated by independent franchisees and licensees.
Taco Bell was founded by Glen Bell, an entrepreneur who first opened a hot dog stand called Bell's Drive-In in San Bernardino, California in 1948. Bell watched long lines of customers at a Mexican restaurant called the Mitla Cafe, located across the street, which became famous among residents for its hard-shelled tacos. Bell attempted to reverse-engineer the recipe, and eventually the owners allowed him to see how the tacos were made. He took what he had learned and opened a new stand under the name of Taco-Tia in late 1951 or early 1952, which sold tacos.
Eventually over the years, Bell owned and operated a number of El Taco restaurants in southern California. Bell would sell the El Tacos to his partner and built the first Taco Bell in Downey in 1962. The first Taco Bell franchise opened in Torrance in 1964, and by 1967, the company rapidly expanded, opening its 100th restaurant in the same year.
PepsiCo purchased Taco Bell in 1978, and later spun off its restaurants division as Tricon Global Restaurants, which later changed its name to Yum! Brands.
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|Bell founders |
Vessel percussion idiophones