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Xenharmonic
Xenharmonic music is music that uses a tuning system that is unlike the 12-tone equal temperament scale. It was named by Ivor Darreg, from Xenia (Greek ξενία), ''hospitable,'' and Xenos (Greek ξένος) ''foreign.'' He stated that it was "intended to include just intonation and such temperaments as the 5-, 7-, and 11-tone, along with the higher-numbered really-microtonal systems as far as one wishes to go." John Chalmers, author of ''Divisions of the Tetrachord'', wrote, "The converse of this definition is that music which can be performed in 12-tone equal temperament without significant loss of its identity is not truly ''microtonal''." Thus xenharmonic music may be distinguished from twelve-tone equal temperament, as well as use of intonation and equal temperaments, by the use of unfamiliar intervals, harmonies, and timbres.. Theorists other than Chalmers consider xenharmonic and non-xenharmonic to be subjective. Edward Foote, in his program notes for ''6 degrees of ton ...
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Xenharmonic Versus Microtonal P4
Xenharmonic music is music that uses a tuning system that is unlike the 12-tone equal temperament scale. It was named by Ivor Darreg, from Xenia (Greek ξενία), ''hospitable,'' and Xenos (Greek ξένος) ''foreign.'' He stated that it was "intended to include just intonation and such temperaments as the 5-, 7-, and 11-tone, along with the higher-numbered really-microtonal systems as far as one wishes to go." John Chalmers, author of ''Divisions of the Tetrachord'', wrote, "The converse of this definition is that music which can be performed in 12-tone equal temperament without significant loss of its identity is not truly ''microtonal''." Thus xenharmonic music may be distinguished from twelve-tone equal temperament, as well as use of intonation and equal temperaments, by the use of unfamiliar intervals, harmonies, and timbres.. Theorists other than Chalmers consider xenharmonic and non-xenharmonic to be subjective. Edward Foote, in his program notes for ''6 degrees of ton ...
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Ivor Darreg
Ivor Darreg (May 5, 1917 – February 12, 1994) was an American composer and leading proponent of microtonal or "xenharmonic" music. He also created a series of experimental musical instruments. Biography Darreg, a contemporary of Harry Partch and a close colleague of John H. Chalmers, Erv Wilson, and Joel Mandelbaum, was one of America's leading theorists and practitioners of experimental intonation and experimental instrument building. Frequently he published his writings in his own Xenharmonic Bulletin. Darreg was born Kenneth Vincent Gerard O'Hara in Portland, Oregon. His father John O'Hara was editor of the (Portland) Catholic Sentinel newspaper and his mother was an artist. (His Uncle, Edwin Vincent O'Hara, was a Roman Catholic Bishop.NCWC Review
, ''Cuislandora.WRLC.org''.) He dropped out of school as a tee ...
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Microtonal
Microtonal music or microtonality is the use in music of microtones—intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave. In other words, a microtone may be thought of as a note that falls between the keys of a piano tuned in equal temperament. In ''Revising the musical equal temperament,'' Haye Hinrichsen defines equal temperament as “the frequency ratios of all intervals are invariant under transposition (translational shifts along the keyboard), i.e., to be constant. The standard twelve-tone ''equal temperament'' (ET), which was originally invented in ancient China and rediscovered in Europe in the 16th century, is determined by two additional conditions. Firstly the octave is divided into twelve semitones. Secondly the octave, the most fundamental of all intervals, is postulated to be pure (beatless), as described by the ...
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Paul Erlich
Paul Erlich (born 1972) is a guitarist and music theorist living near Boston, Massachusetts. He is known for his seminal role in developing the theory of regular temperaments, including being the first to define pajara temperament Accessed 2013-10-29.. and its decatonic scales in 22-ET. He holds a Bachelor of Science degree in physics from Yale University. His definition of harmonic entropy, a refinement of a model by van Eck influenced by Ernst Terhardt has received attention from music theorists such as William Sethares.Sethares, William (2005). Tuning, Timbre, Spectrum, Scale', p.371. Springer Science & Business Media. . "Harmonic entropy is a measure of the uncertainty in pitch perception, and it provides a physical correlate of tonalness the closeness of the partials of a complex sound to a harmonic series" one aspect of the psychoacoustic concept of dissonance....high tonalness corresponds to low entropy and low tonalness corresponds to high entropy." It is intended t ...
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Musical Tuning
In music, there are two common meanings for tuning: * Tuning practice, the act of tuning an instrument or voice. * Tuning systems, the various systems of 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 A = 440 Hz. The term "''out of tune''" refers to a pitch/tone that is either too high (sharp) or too low (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 methods of sound production require different methods of adjustment: * Tuning to a pitch with one's voic ...
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Equal Temperament
An equal temperament is a musical temperament or tuning system, which approximates just intervals by dividing an octave (or other interval) into equal steps. This means the ratio of the frequencies of any adjacent pair of notes is the same, which gives an equal perceived step size as pitch is perceived roughly as the logarithm of frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been twelve-tone equal temperament (also known as 12 equal temperament, 12-TET or 12-ET; informally abbreviated to twelve equal), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the 12th root of 2 ( ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western countries the term ''equal temperament'', without qualification, generally means 12-TET. In modern times, 12-TET is usually tuned relative to a standard pitch of ...
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Xenia (Greek)
Xenia ( el, ξενία) is an ancient Greek concept of hospitality. It is almost always translated as 'guest-friendship' or 'ritualized friendship'. It is an institutionalized relationship rooted in generosity, gift exchange, and reciprocity. Historically, hospitality towards foreigners and guests (Hellenes not of your polis) was understood as a moral obligation. Hospitality towards foreign Hellenes honored Zeus ''Xenios'' (and Athene ''Xenia'') patrons of foreigners. The rituals of hospitality created and expressed a reciprocal relationship between guest and host expressed in both material benefits (e.g. gifts, protection, shelter) as well as non-material ones (e.g. favors, certain normative rights). The word is derived from '' xenos'' 'stranger'. The Greek god Zeus is sometimes called Zeus Xenios in his role as a protector of strangers. He thus embodied the moral obligation to be hospitable to foreigners and guests. Theoxeny or ''theoxenia'' is a theme in Greek mythology in ...
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Web Application
A web application (or web app) is application software that is accessed using a web browser. Web applications are delivered on the World Wide Web to users with an active network connection. History In earlier computing models like client-server, the processing load for the application was shared between code on the server and code installed on each client locally. In other words, an application had its own pre-compiled client program which served as its user interface and had to be separately installed on each user's personal computer. An upgrade to the server-side code of the application would typically also require an upgrade to the client-side code installed on each user workstation, adding to the technical support, support cost and decreasing productivity. In addition, both the client and server components of the application were usually tightly bound to a particular computer architecture and operating system and porting them to others was often prohibitively expensive for ...
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Wendy Carlos
Wendy Carlos (born Walter Carlos, November 14, 1939) is an American musician and composer best known for her electronic music and film scores. Born and raised in Rhode Island, Carlos studied physics and music at Brown University before moving to New York City in 1962 to study music composition at Columbia University. Studying and working with various electronic musicians and technicians at the city's Columbia-Princeton Electronic Music Center, she helped in the development of the Moog synthesizer, Robert Moog's first commercially available keyboard instrument. Carlos came to prominence with ''Switched-On Bach'' (1968), an album of music by Johann Sebastian Bach performed on a Moog synthesizer, which helped popularize its use in the 1970s and won her three Grammy Awards. Its commercial success led to several more albums, including further synthesized classical music adaptations, and experimental and ambient music. She composed the score to two Stanley Kubrick films – ''A Cloc ...
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Elodie Lauten
Elodie Lauten (October 20, 1950 – June 3, 2014) was a French-born American composer described as postminimalist or a microtonalist. Biography Born in Paris, France as Genevieve Schecroun, and educated in Paris at the Lycée Claude Monet, the Conservatoire (piano) and the Institut d’Etudes Politiques.Obituary
nytimes.com; accessed March 4, 2015.
Her father was (né Raphaël Schecroun), an n-born jazz musician; her mother was a classical pianist. Lauten was classically trained as a pianist since age 7. She con ...
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Annie Gosfield
Annie Gosfield (born September 11, 1960 in Philadelphia) is a New-York-based composer who works on the boundaries between notated and improvised music, electronic and acoustic sounds, refined timbres and noise. She composes for others and performs with her own group, taking her music to festivals, factories, clubs, art spaces and concert halls. Much of her work combines acoustic instruments with electronic sounds, incorporating unusual sources such as satellite sounds, machine sounds, detuned or out-of-tune samples and industrial noises. Her work often contains improvisation and frequently uses extended techniques and/or altered musical instruments. She won a 2012 Berlin Prize. Work Gosfield's work includes large-scale compositions, opera, orchestral work, chamber music, electronic music, video projects, and music for dance. She uses traditional notation, improvisation and extended techniques to explore relationships between music and noise. Her music is often inspired by n ...
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Logarithms
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number  to the base  is the exponent to which must be raised, to produce . For example, since , the ''logarithm base'' 10 of is , or . The logarithm of to ''base''  is denoted as , or without parentheses, , or even without the explicit base, , when no confusion is possible, or when the base does not matter such as in big O notation. The logarithm base is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number  as its base; its use is widespread in mathematics and physics, because of its very simple derivative. The binary logarithm uses base and is frequently used in computer science. Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations. They were rapidly adopted by navigators, scientists, engineers, surveyors and others to perform high-accur ...
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