Variations (Cage)

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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.

United States Federal republic in North America

The United States of America (USA), commonly known as the United States or America, is a country composed of 50 states, a federal district, five major self-governing territories, and various possessions. At 3.8 million square miles, the United States is the world's third or fourth largest country by total area and is slightly smaller than the entire continent of Europe's 3.9 million square miles. With a population of over 327 million people, the U.S. is the third most populous country. The capital is Washington, D.C., and the largest city by population is New York City. Forty-eight states and the capital's federal district are contiguous in North America between Canada and Mexico. The State of Alaska is in the northwest corner of North America, bordered by Canada to the east and across the Bering Strait from Russia to the west. The State of Hawaii is an archipelago in the mid-Pacific Ocean. The U.S. territories are scattered about the Pacific Ocean and the Caribbean Sea, stretching across nine official time zones. The extremely diverse geography, climate, and wildlife of the United States make it one of the world's 17 megadiverse countries.

Composer person who creates music, either by musical notation or oral tradition

A composer is a musician who is an author of music in any form, including vocal music, instrumental music, electronic music, and music which combines multiple forms. A composer may create music in any music genre, including, for example, classical music, musical theatre, blues, folk music, jazz, and popular music. Composers often express their works in a written musical score using musical notation.

John Cage American avant-garde composer

John Milton Cage Jr. was an American composer, music theorist, artist, and philosopher. 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.

Contents

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.

David Tudor American pianist and composer

David Eugene Tudor was an American pianist and composer of experimental music.

Point (geometry) fundamental object of geometry: locus within which we can distinguish no other locus than itself

In modern mathematics, a point refers usually to an element of some set called a space.

Cartesian coordinate system coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a set 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 line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, at ordered pair (0, 0). 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.

Variations II (1961)

This work is intended "for any number of players and any sound producing means." The score consists of eleven transparent sheets: six with lines and five with points. The mechanism is the same as in Variations I: perpendiculars are dropped from points to lines to determine sound characteristics, except that the list of characteristics is different: frequency, amplitude, timbre, etc.

Variations III (1962)

The third in the series is intended "for one or any number of people performing any actions". It is the first entry in the series that does not make any references to music, musical instruments or sounds. The score consists of two sheets of transparent plastic, one blank, the other marked with 42 identical circles. Cage instructs the performers to cut the sheet with circles so that they end up with 42 small sheets, a full circle on each. These should then be dropped on a sheet of paper. Isolated circles are then removed, and the rest are interpreted according to complex rules explained in the score. The information derived includes the number of actions and the number of variables that characterize an action. Cage does not specify the performers' actions, but notes that these can include noticing or responding to "environmental changes". He also states that although some of the factors of a performance may be planned in advance, the performers should "leave room for unforeseen eventualities"; and that "any other activities are going on at the same time" as the work is performed. This last is not an instruction, but simply an observation.

Music form of art using sound

Music is an art form and cultural activity whose medium is sound organized in time. General definitions of music include common elements such as pitch, rhythm, dynamics, and the sonic qualities of timbre and texture. Different styles or types of music may emphasize, de-emphasize or omit some of these elements. Music is performed with a vast range of instruments and vocal techniques ranging from singing to rapping; there are solely instrumental pieces, solely vocal pieces and pieces that combine singing and instruments. The word derives from Greek μουσική . See glossary of musical terminology.

Musical instrument History and classification

A musical instrument is an instrument 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. The history of musical instruments dates to the beginnings of human culture. Early musical instruments may have been used for ritual, such as a trumpet 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.

Variations IV (1963)

This piece is the second in a group that included Atlas Eclipticalis as the first piece and 0'00" as the third. Variations IV is intended for any number of players producing any sounds by any means, "with or without other activities." It is dedicated to Peter Pesic. The score consists of seven points and two circles on a transparent sheet. The sheet is cut into nine small sheets. One of the circles is then placed anywhere on a map of the area where the performance is to take place. Then the rest of the sheets are dropped anywhere on the same map, and straight lines are drawn from the first circle to the seven points; if a line intersects or is tangent to another circle, the same procedure is applied to that circle. The explanatory note in the score gives instructions on how to interpret the results. Cage also mentions that performers need not confine themselves to a performance of the piece during the entire performance and are free to engage in any other activities at any time.

The popular phonograph records of the premiere (issued by Everest Records) of this work is generally misunderstood as a sound collage of classical music, sound-effects, and ambient noises, etc. While this is what the work sounds like the concept behind the work has nothing to do with the recordings and sounds that were employed in the performance as such. What the work actually embodies is the positioning of sound sources within a given interior space. In that regard the recording completely misrepresents the basis of the work.

Everest Records was a record label based in Bayside, Long Island, started by Harry D. Belock and Bert Whyte in May 1958. It was devoted mainly to classical music.

Variations V (1965)

This work has a score which is simply a description of the first performance, which included electronics, dancers, and other elements. Part of the setup for the work included light beams which triggered sounds from the electronics when interrupted by the motions of the dancers.

Variations VI (1966)

Variations VII (1966)

Variations VIII (1967, revised 1978)

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But what about the noise of crumpling paper which he used to do in order to paint the series of "Papiers froissés" or tearing up paper to make "Papiers déchirés?" Arp was stimulated by water, forests, sometimes shortened as But what about the noise...?, is a composition for percussion ensemble by American composer John Cage. It was finished in 1985.

<i>Imaginary Landscape No. 4 (March No. 2)</i>

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