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Schismatic Temperament
A schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 (1.9537 cents) to a unison. It is also called the schismic temperament, Helmholtz temperament, or quasi-Pythagorean temperament. Construction In Pythagorean tuning all notes are tuned as a number of perfect fifths (701.96 cents ). The major third above C, E, is considered four fifths above C. This causes the Pythagorean major third, E (407.82 cents ), to differ from the just major third, E (386.31 cents ): the Pythagorean third is sharper than the just third by 21.51 cents (a syntonic comma ). :C — G — D — A — E Ellis's "skhismic temperament". instead uses the note eight fifths ''below'' C, F (384.36 cents ), the Pythagorean diminished fourth or schismatic major third. Though spelled "incorrectly" for a major third, this note is only 1.95 cents (a schisma) flat of E, and thus more in tune than the Pythagorean major third. As Ellis puts it, "the Fifths should be ...
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Musical Tuning
In music, there are two common meanings for tuning: * #Tuning practice, Tuning practice, the act of tuning an instrument or voice. * #Tuning systems, Tuning systems, the various systems of Pitch (music), pitches used to tune an instrument, and their theoretical bases. Tuning practice Tuning is the process of adjusting the pitch of one or many tones from musical instruments to establish typical intervals between these tones. Tuning is usually based on a fixed reference, such as A440 (pitch standard), A = 440 Hz. The term "''out of tune''" refers to a pitch/tone that is either too high (Sharp (music), sharp) or too low (Flat (music), flat) in relation to a given reference pitch. While an instrument might be in tune relative to its own range of notes, it may not be considered 'in tune' if it does not match the chosen reference pitch. Some instruments become 'out of tune' with temperature, humidity, damage, or simply time, and must be readjusted or repaired. Different method ...
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Equal Temperament
An equal temperament is a musical temperament or Musical tuning#Tuning systems, tuning system that approximates Just intonation, just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequency, frequencies of any adjacent pair of notes is the same. This system yields Pitch (music), pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the twelfth root of two, 12th root of 2, (\sqrt[12] ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western world, Western countries the term ''equal temperamen ...
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Mark Lindley
Mark Lindley (born 11 February 1937) is a musicologist, historian of modern India, and a teacher of economics. Born in Washington, D.C., he studied at Harvard University (A.B.), the Juilliard School of Music (M.S.) and Columbia University (D. Phil.). He has taught at Columbia University, City University of New York, Washington University, University of London, Oxford University, University of Regensburg, Chinese University of Hong Kong, University of Kerala, Istanbul Technical University, Yildiz Technical University, Bogaziçi University, and the University of Hyderabad, where he served in 2015 as the University Chair professor in the School of Economics. He has also lectured on economics at Gujarat Vidyapith, at Dr. Babasaheb Ambedkar Marathwada University and at the Gokhale Institute of Politics and Economics. He has held research fellowships at the Gandhi Research Foundation, and was a visiting professor in 2016 at the University of Zaragoza and in 2017 at the Central Unive ...
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Eduardo Sabat-Garibaldi
Eduardo is the Spanish and Portuguese form of the male name Edward. Another version is Duarte. It may refer to: Association football * Dudu (footballer, born 1992) (Eduardo Pereira Rodrigues), Brazilian footballer * Eduardo (footballer, born 1993) (Carlos Eduardo Bendini Giusti), Brazilian centre back * Eduardo (footballer, born 12 November 1986) (Eduardo da Conceição Maciel), Brazilian forward * Eduardo (footballer, born 20 November 1986) (Carlos Eduardo Santos Oliveira), Brazilian right back * Eduardo (footballer, born 1979) (Eduardo Adelino da Silva), Brazilian footballer * Eduardo (footballer, born 1995) (Eduardo José da Rosa Milhomem), Brazilian defender * Eduardo (footballer, born 1997) (Eduardo Jacinto de Biasi), Brazilian defensive midfielder * Eduardo (footballer, born 2000) (Eduardo da Silva Albuquerque), Brazilian midfielder * Edu Coimbra (Eduardo Antunes Coimbra) (born 1947), Brazilian attacking midfielder and manager * Edu (footballer, born 1981) (Eduardo ...
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Just Intonation
In music, just intonation or pure intonation is a musical tuning, tuning system in which the space between notes' frequency, frequencies (called interval (music), intervals) is a natural number, whole number ratio, ratio. Intervals spaced in this way are said to be pure, and are called just intervals. Just intervals (and chords created by combining them) consist of tones from a single harmonic series (music), harmonic series of an implied fundamental frequency, fundamental. For example, in the diagram, if the notes G3 and C4 (labelled 3 and 4) are tuned as members of the harmonic series of the lowest C, their frequencies will be 3 and 4 times the fundamental frequency. The interval ratio between C4 and G3 is therefore 4:3, a just fourth (music), fourth. In Western musical practice, bowed instruments such as violins, violas, cellos, and double basses are tuned using pure fifths or fourths. In contrast, keyboard instruments are rarely tuned using only pure intervals—the desire fo ...
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Pump Organ
The pump organ or reed organ is a type of organ that uses free reed aerophone, free reeds to generate sound, with air passing over vibrating thin metal strips mounted in a frame. Types include the pressure-based harmonium, the suction reed organ (which employs a vacuum system), and the Indian harmonium. Historical examples include the ''Kunstharmonium'' and the American reed organ, while earlier forms include the physharmonica and the Seraphine (instrument), seraphine. More portable than pipe organs, free-reed organs became widespread in smaller churches and private homes during the 19th century, although their volume and tonal range were limited. They generally featured one, or occasionally two, Manual (music), manuals, while pedal keyboard, pedal-boards were rare. Higher-end pump organs offered a broader range of tones, and models intended for churches or affluent households were often housed in finely crafted Cabinet (furniture), cabinets. Between the 1850s and the 1920s, se ...
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Eivind Groven
Eivind Groven (8 October 1901 – 8 February 1977) was a Norwegian composer and music-theorist. He was from the traditional region of Vest-Telemark and had a background in the folk music of the area. Biography Groven was born in the village of Lårdal in Telemark, Norway. Groven's rural background was filled with traditional music. He came from a family of talented musicians and artists, prominent in his home area. His father, Olav Åsmundsson Gjøitil (1865–1947) was the youngest of eight siblings. Two of his father's brothers played the hardanger fiddle. His mother, Aslaug Rikardsdotter Berge (1863–1946), was the youngest daughter of Rikard Aslaksson Berge, known for preserving a great amount of old tunes, religious songs and dance-tunes and a friend of Myllarguten's. Two of Groven's maternal uncles also played the hardanger fiddle, and his mother's sisters, as well as Aslaug herself, were talented folk singers. Groven was the youngest of five brothers. Two of his br ...
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Hermann Von Helmholtz
Hermann Ludwig Ferdinand von Helmholtz (; ; 31 August 1821 – 8 September 1894; "von" since 1883) was a German physicist and physician who made significant contributions in several scientific fields, particularly hydrodynamic stability. The Helmholtz Association, the largest German association of research institutions, was named in his honour. In the fields of physiology and psychology, Helmholtz is known for his mathematics concerning the eye, theories of vision, ideas on the visual perception of space, colour vision research, the sensation of tone, perceptions of sound, and empiricism in the physiology of perception. In physics, he is known for his theories on the conservation of energy and on the electrical double layer, work in electrodynamics, chemical thermodynamics, and on a mechanical foundation of thermodynamics. Although credit is shared with Julius von Mayer, James Joule, and Daniel Bernoulli—among others—for the energy conservation principles that e ...
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53 Equal Temperament
In music, 53 equal temperament, called 53 TET, 53  EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios) (). Each step represents a frequency ratio of or 22.6415  cents (), an interval sometimes called the Holdrian comma. 53 TET is a tuning of equal temperament in which the tempered perfect fifth is 701.89 cents wide, as shown in Figure 1, and sequential pitches are separated by 22.642 cents. The 53-TET tuning equates to the unison, or ''tempers out'', the intervals known as the schisma, and known as the kleisma. These are both 5 limit intervals, involving only the primes 2, 3, and 5 in their factorization, and the fact that 53 TET tempers out both characterizes it completely as a 5 limit temperament: It is the only regular temperament tempering out both of these intervals, or commas, a fact which seems to have first been recognized by Japanese musi ...
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Syntonic Comma
In music theory Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory": The first is the "Elements of music, ..., the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemy, Ptolemaic comma, or the diatonic comma is a small Comma (music), comma type interval (music), interval between two musical notes, equal to the frequency ratio (= 1.0125) (around 21.51 cent (music), cents). Two notes that differ by this interval would sound different from each other even to untrained ears, but would be close enough that they would be more likely interpreted as out-of-tune versions of the same note than as different notes. The comma is also referred to as a ''Didymean comma'' because it is the amount by which Didymus the Musician, Didymus corrected the Pythagorean interval, Pythagorean major thir ...
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Musical Temperament
In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. Most modern Western musical instruments are tuned in the equal temperament system. Tempering is the process of altering the size of an interval by making it narrower or wider than pure. "Any plan that describes the adjustments to the sizes of some or all of the twelve fifth intervals in the circle of fifths so that they accommodate pure octaves and produce certain sizes of major thirds is called a ''temperament''." Temperament is especially important for keyboard instruments, which typically allow a player to play only the pitches assigned to the various keys, and lack any way to alter pitch of a note in performance. Historically, the use of just intonation, Pythagorean tuning and meantone temperament meant that such instruments could sound "in tune" in one key, or some keys, but would then have more dissonance in other keys. In the w ...
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Meantone Temperament
Meantone temperaments are musical temperaments; that is, a variety of Musical tuning#Tuning systems, tuning systems constructed, similarly to Pythagorean tuning, as a sequence of equal fifths, both rising and descending, scaled to remain within the same octave. But rather than using perfect fifths, consisting of frequency ratios of value 3:2, these are ''tempered'' by a suitable factor that narrows them to ratios that are slightly less than 3:2, in order to bring the major or minor thirds closer to Just intonation, the just intonation ratio of 5:4 or 6:5 , respectively. Among temperaments constructed as a sequence of fifths, a regular temperament is one in which all the fifths are chosen to be of the same size. Twelve-tone equal temperament () is obtained by making all semitones the same size, with each equal to one-twelfth of an octave; i.e. with ratios . Relative to Pythagorean tuning, it narrows the perfect fifths by about 2 cents (music), cents or of a Pythagorean co ...
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