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Campanologist
Campanology () is the scientific and musical study of bells. It encompasses the technology of bells – how they are founded, tuned and rung – as well as the history, methods, and traditions of bellringing as an art. It is common to collect together a set of tuned bells and treat the whole as one musical instrument. Such collectionssuch as a Flemish carillon, a Russian ''zvon'', or an English "ring of bells" used for change ringinghave 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. Etymology and definition ''Campanology'' is a hybrid word. The first half is derived from the Late Latin , meaning 'bell'; the s ...
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Carillon
A carillon ( , ) is a pitched percussion instrument that is played with a keyboard and consists of at least 23 cast-bronze bells. The bells are hung in fixed suspension and tuned in chromatic order so that they can be sounded harmoniously together. They are struck with clappers connected to a keyboard of wooden batons played with the hands and pedals played with the feet. Often housed in bell towers, carillons are usually owned by churches, universities, or municipalities. They can include an automatic system through which the time is announced and simple tunes are played throughout the day. Carillons come in many designs, weights, sizes, and sounds. They are among the world's heaviest instruments, and the heaviest carillon weighs over . Most weigh between . To be considered a carillon, a minimum of 23 bells are needed; otherwise, it is called a chime. Standard-sized instruments have about 50, and the world's largest has 77 bells. The appearance of a carillon depends ...
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Bell Ringer
A bell-ringer is a person who rings a bell, usually a church bell, by means of a rope or other mechanism. Despite some automation of bells for random swinging, there are still many active bell-ringers in the world, particularly those with an advanced ringing tradition such as full-circle or Russian ringing, which are artistic and skilled performances which are difficult to automate. The term campanologist is popularly misused to refer to a bell-ringer, but this properly refers to someone who studies bells, which is known as campanology. Although in some places carillons are used to sound bells, they are "played" by carillonneurs, not by bell-ringers, and are associated with the ringing of tunes in the Western musical tradition. Full-circle ringing English full-circle ringing In England, it is estimated there are about 40,000 bell-ringers ringing on rings of bells in the English full-circle style. This type of ringing cannot be automated because of the large rotating masse ...
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Scientific
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earliest archeological evidence for scientific reasoning is tens of thousands of years old. The earliest written records in the history of science come from Ancient Egypt and Mesopotamia in around 3000 to 1200 BCE. Their contributions to mathematics, astronomy, and medicine entered and shaped Greek natural philosophy of classical antiquity, whereby formal attempts were made to provide explanations of events in the physical world based on natural causes. After the fall of the Western Roman Empire, knowledge of Greek conceptions of the world deteriorated in Western Europe during the early centuries (400 to 1000 CE) of the Middle Ages, but was preserved in the Muslim world during the Islamic Golden Age and later by the efforts of Byzantine Greek scholars who brought Greek m ...
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Full Circle Ringing
Full circle ringing is a technique of ringing a tower bell such that it swings in a complete circle from mouth upwards to mouth upwards and then back again repetitively. Technique Full-circle tower bell ringing in England developed in the early 17th century when bell ringers found that swinging a bell through a much larger arc than that required for swing-chiming gave control over the time between successive strikes of the clapper. A bell swinging through a small arc acts as a simple pendulum, at a time interval governed by its size and shape. By swinging it through a much larger arc approaching a full circle, control of the strike interval can be exercised by the ringer. This culminated in the technique of full circle ringing, which enabled ringers to control the speeds of their individual bells accurately to sound them in orderly sequences. From this was born the art of change ringing. Speed control is exerted by the ringer only when each bell is nearly mouth upwards and m ...
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Steinhaus–Johnson–Trotter Algorithm
The Steinhaus–Johnson–Trotter algorithm or Johnson–Trotter algorithm, also called plain changes, is an algorithm named after Hugo Steinhaus, Selmer M. Johnson and Hale F. Trotter that generates all of the permutations of n elements. Each permutation in the sequence that it generates differs from the previous permutation by swapping two adjacent elements of the sequence. Equivalently, this algorithm finds a Hamiltonian cycle in the permutohedron. This method was known already to 17th-century English change ringers, and calls it "perhaps the most prominent permutation enumeration algorithm". A version of the algorithm can be implemented in such a way that the average time per permutation is constant. As well as being simple and computationally efficient, this algorithm has the advantage that subsequent computations on the permutations that it generates may be sped up because of the similarity between consecutive permutations that it generates.. Algorithm The sequence ...
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Permutations
In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set. Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set , namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory. Permutations are used in almost every branch of mathematics, and in many other fields of scien ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Melody
A melody (from Greek language, Greek μελῳδία, ''melōidía'', "singing, chanting"), also tune, voice or line, is a Linearity#Music, linear succession of musical tones that the listener perceives as a single entity. In its most literal sense, a melody is a combination of pitch (music), pitch and rhythm, while more figuratively, the term can include other musical elements such as Timbre, tonal color. It is the foreground to the background accompaniment. A line or part (music), part need not be a foreground melody. Melodies often consist of one or more musical Phrase (music), phrases or Motif (music), motifs, and are usually repeated throughout a musical composition, composition in various forms. Melodies may also be described by their melodic motion or the pitches or the interval (music), intervals between pitches (predominantly steps and skips, conjunct or disjunct or with further restrictions), pitch range, tension (music), tension and release, continuity and coheren ...
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Inertia
Inertia is the idea that an object will continue its current motion until some force causes its speed or direction to change. The term is properly understood as shorthand for "the principle of inertia" as described by Newton in his first law of motion. After some other definitions, Newton states in his first law of motion: The word "perseveres" is a direct translation from Newton's Latin. Other, less forceful terms such as "to continue" or "to remain" are commonly found in modern textbooks. The modern use follows from some changes in Newton's original mechanics (as stated in the ''Principia'') made by Euler, d'Alembert, and other Cartesians. The term inertia comes from the Latin word ''iners'', meaning idle, sluggish. The term inertia may also refer to the resistance of any physical object to a change in its velocity. This includes changes to the object's speed or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight li ...
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Tonic (music)
In music, the tonic is the first scale degree () of the diatonic scale (the first note of a scale) and the tonal center or final resolution tone that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as ''do''. More generally, the tonic is the note upon which all other notes of a piece are hierarchically referenced. Scales are named after their tonics: for instance, the tonic of the C major scale is the note C. The triad formed on the tonic note, the tonic chord, is thus the most significant chord in these styles of music. In Roman numeral analysis, the tonic chord is typically symbolized by the Roman numeral "I" if it is major and by "i" if it is minor. These chords may also appear as seventh chords: in major, as IM7, or in minor as i7 or rarely iM7: The tonic is distinguished from the root, which is the reference note of a chord, rathe ...
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Chromatic Scale
The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone. Chromatic instruments, such as the piano, are made to produce the chromatic scale, while other instruments capable of continuously variable pitch, such as the trombone and violin, can also produce microtones, or notes between those available on a piano. Most music uses subsets of the chromatic scale such as diatonic scales. While the chromatic scale is fundamental in western music theory, it is seldom directly used in its entirety in musical compositions or improvisation. Definition The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches. As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic scale ...
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