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Variations (Cage)
''Variations'' is a series of works by the American composer John Cage. A number of the pieces in the series are seminal examples of indeterminate music, others are happenings: performance pieces executed according to the score. The series ''Variations I'' (1958) The first piece in the series is dedicated to David Tudor and was a belated birthday present. The score consists of six transparent squares: one with 27 points of four different sizes, five with five lines each. The squares are to be combined in any way, with points representing sounds, and lines used as axes of various characteristics of these sounds: lowest frequency, simplest overtone structure, etc. Said characteristics are obtained by dropping perpendiculars from points and measuring these perpendiculars. The piece is to be performed by any number of performers on any kind and number of instruments. ''Variations II'' (1961) This work is intended "for any number of players and any sound producing means." The score cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Composer
A composer is a person who writes music. The term is especially used to indicate composers of Western classical music, or those who are composers by occupation. Many composers are, or were, also skilled performers of music. Etymology and Definition The term is descended from Latin, ''compōnō''; literally "one who puts together". The earliest use of the term in a musical context given by the ''Oxford English Dictionary'' is from Thomas Morley's 1597 ''A Plain and Easy Introduction to Practical Music'', where he says "Some wil be good descanters ..and yet wil be but bad composers". 'Composer' is a loose term that generally refers to any person who writes music. More specifically, it is often used to denote people who are composers by occupation, or those who in the tradition of Western classical music. Writers of exclusively or primarily songs may be called composers, but since the 20th century the terms 'songwriter' or ' singer-songwriter' are more often used, particularl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Cage
John Milton Cage Jr. (September 5, 1912 – August 12, 1992) was an American composer and music theorist. A pioneer of indeterminacy in music, electroacoustic music, and non-standard use of musical instruments, Cage was one of the leading figures of the post-war avant-garde. Critics have lauded him as one of the most influential composers of the 20th century. He was also instrumental in the development of modern dance, mostly through his association with choreographer Merce Cunningham, who was also Cage's romantic partner for most of their lives. Cage is perhaps best known for his 1952 composition ''4′33″'', which is performed in the absence of deliberate sound; musicians who present the work do nothing aside from being present for the duration specified by the title. The content of the composition is not "four minutes and 33 seconds of silence," as is often assumed, but rather the sounds of the environment heard by the audience during performance. The work's challenge t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminacy In Music
Indeterminacy or underdeterminacy may refer to: Law * Indeterminacy debate in legal theory * Underdeterminacy (law) Linguistics * Indeterminacy of translation * Referential indeterminacy Philosophy *Indeterminacy (philosophy) *Indeterminism, the belief that not all events are causally determined *Deterministic system (philosophy) *Underdetermination Physics *Quantum indeterminacy *Uncertainty principle *Scientific determinism Other * Indeterminacy (literature) a literary term * Indeterminacy in computation (other) * Indeterminate system * Aleatoric music and indeterminacy in music * Statically indeterminate * Underdetermined system * In set theory and game theory, the opposite of determinacy * In biology, indeterminate growth of an organism See also *Nondeterminism (other) * Determinism (other) *Indeterminate (other) Indeterminate may refer to: In mathematics * Indeterminate (variable), a symbol that is treated as a variable * Indetermin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Happening
A happening is a performance, event, or situation art, usually as performance art. The term was first used by Allan Kaprow during the 1950s to describe a range of art-related events. History Origins Allan Kaprow first coined the term "happening" in the spring of 1959 at an art picnic at George Segal's farm to describe the art pieces that were going on. The first appearance in print was in Kaprow's famous "Legacy of Jackson Pollock" essay that was published in 1958 but primarily written in 1956. "Happening" also appeared in print in one issue of the Rutgers University undergraduate literary magazine, ''Anthologist''. The form was imitated and the term was adopted by artists across the U.S., Germany, and Japan. Jack Kerouac referred to Kaprow as "The Happenings man", and an ad showing a woman floating in outer space declared, "I dreamt I was in a happening in my Maidenform brassiere". Happenings are difficult to describe, in part because each one is unique. One definition com ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheet Music
Sheet music is a handwritten or printed form of musical notation that uses List of musical symbols, musical symbols to indicate the pitches, rhythms, or chord (music), chords of a song or instrumental Musical composition, musical piece. Like its analogs – printed Book, books or Pamphlet, pamphlets in English, Arabic, or other languages – the medium of sheet music typically is paper (or, in earlier centuries, papyrus or parchment). However, access to musical notation since the 1980s has included the presentation of musical notation on computer screens and the development of scorewriter Computer program, computer programs that can notate a song or piece electronically, and, in some cases, "play back" the notated music using a synthesizer or virtual instrumentation, virtual instruments. The use of the term "sheet" is intended to differentiate written or printed forms of music from sound recordings (on vinyl record, compact cassette, cassette, Compact disc, CD), radio or Telev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Tudor
David Eugene Tudor (January 20, 1926 – August 13, 1996) was an American pianist and composer of experimental music. Life and career Tudor was born in Philadelphia, Pennsylvania. He studied piano with Irma Wolpe and composition with Stefan Wolpe and became known as one of the leading performers of avant garde piano music. He gave the first American performance of the '' Piano Sonata No. 2'' by Pierre Boulez in 1950, and a European tour in 1954 greatly enhanced his reputation. Karlheinz Stockhausen dedicated his ''Klavierstück VI'' (1955) to Tudor. Tudor also gave early performances of works by Morton Feldman, Earle Brown, Christian Wolff and La Monte Young. The composer with whom Tudor is particularly associated is John Cage; he gave the premiere of Cage's ''Music of Changes'', ''Concert For Piano and Orchestra'' and the notorious ''4' 33"''. Cage said that many of his pieces were written either specifically for Tudor to perform or with him in mind, once stating "what you ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Point (geometry)
In classical Euclidean geometry, a point is a primitive notion that models an exact location in space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space. Being a primitive notion means that a point cannot be defined in terms of previously defined objects. That is, a point is defined only by some properties, called axioms, that it must satisfy; for example, ''"there is exactly one line that passes through two different points"''. Points in Euclidean geometry Points, considered within the framework of Euclidean geometry, are one of the most fundamental objects. Euclid originally defined the point as "that which has no part". In two-dimensional Euclidean space, a point is represented by an ordered pair (, ) of numbers, where the first number conventionally represents the horizontal and is often denoted by , and the second number conventionally represents the vertical and is often denoted by . ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cartesian Coordinate System
A Cartesian coordinate system (, ) in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length. Each reference coordinate line is called a ''coordinate axis'' or just ''axis'' (plural ''axes'') of the system, and the point where they meet is its ''origin'', at ordered pair . The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, ''n'' Cartesian coordinates (an element of real ''n''-space) specify the point in an ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perpendicular
In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle (90 degrees or π/2 radians). The condition of perpendicularity may be represented graphically using the ''perpendicular symbol'', ⟂. It can be defined between two lines (or two line segments), between a line and a plane, and between two planes. Perpendicularity is one particular instance of the more general mathematical concept of '' orthogonality''; perpendicularity is the orthogonality of classical geometric objects. Thus, in advanced mathematics, the word "perpendicular" is sometimes used to describe much more complicated geometric orthogonality conditions, such as that between a surface and its '' normal vector''. Definitions A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a first line is perpendicular to a second line if (1) the two lines meet; and (2) at the point of intersection the straight angle on one side ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Music
Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect of all human societies, a cultural universal. While scholars agree that music is defined by a few specific elements, there is no consensus on their precise definitions. The creation of music is commonly divided into musical composition, musical improvisation, and musical performance, though the topic itself extends into academic disciplines, criticism, philosophy, and psychology. Music may be performed or improvised using a vast range of instruments, including the human voice. In some musical contexts, a performance or composition may be to some extent improvised. For instance, in Hindustani classical music, the performer plays spontaneously while following a partially defined structure and using characteristic motifs. In modal jazz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Musical Instrument
A musical instrument is a device created or adapted to make musical sounds. In principle, any object that produces sound can be considered a musical instrument—it is through purpose that the object becomes a musical instrument. A person who plays a musical instrument is known as an instrumentalist. The history of musical instruments dates to the beginnings of human culture. Early musical instruments may have been used for rituals, such as a horn to signal success on the hunt, or a drum in a religious ceremony. Cultures eventually developed composition and performance of melodies for entertainment. Musical instruments evolved in step with changing applications and technologies. The date and origin of the first device considered a musical instrument is disputed. The oldest object that some scholars refer to as a musical instrument, a simple flute, dates back as far as 50,000 - 60,000 years. Some consensus dates early flutes to about 40,000 years ago. However, most historians be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.JPG "Click for more on -> Happening")
