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Type of representation of music
Graphic notation (or graphic score) is the representation of music through the use of visual symbols outside the realm of traditional music notation. Graphic notation became popular in the 1950s, and can be used either in combination with or instead of traditional music notation. Graphic notation was influenced by contemporary visual art trends in its conception, bringing stylistic components from modern art into music. Composers often rely on graphic notation in experimental music, where standard musical notation can be ineffective. Other uses include pieces where an aleatoric or undetermined effect is desired. One of the earliest pioneers of this technique was Earle Brown, who, along with John Cage, sought to liberate performers from the constraints of notation and make them active participants in the creation of the music.

Graphic notation is characterized by its variability and lack of standardization. According to Baker's Student Encyclopedia of Music, Vol. 1, "Graphic notation is used to indicate extremely precise (or intentionally imprecise) pitch or to stimulate musical behavior or actions in performance." Modern graphic notation relies heavily on the imagination and inspiration of each individual performer to interpret the visual content provided by the composer. Because of this relative freedom, the realization of graphically notated pieces usually varies from performance to performance. For example, in notation indication "E" of his piece Concert for Piano and Orchestra, John Cage writes: "Play with hands indicated. Where clefs differ, a note is either bass or treble", an indeterminacy which is not unusual in Cage's work, and which leaves decision making up to the performer. Some graphic scores can be defined as action based, where musical gestures are notated as shapes instead of conventional musical ideas. Graphic notation is difficult to characterize with specificity, as the notation system is only limited by the imagination and ability of the composer. Though some composers, like John Cage, Characteristic of the Ars subtilior, "experimentations with mensural signs and graphic shapes and colours were often a feature of musical design – for the sake of visual, rather than necessarily audible effect." Another example of eye music from the ars subtilior is Jacob Senleches' La harpe de melodie, where the voices are notated on a stave that appears to be the strings of a harp. Eye music's popularity died down after the Humanist movement of the mid 16th century, later to be revitalized in the twentieth century as the use of graphic scores became prominent once again. The 19th century music educator Pierre Galin developed a method of notating music known as the Galin Paris Chevé system, building on a notation system created in the 18th century by Jean Jacques Rousseau. This system used numbers to indicate scale degrees, and used dots either above or below the note to indicate if they were in the lowest octave or the highest. The middle octave, relative to the example, contained no dots. Flats and sharps were notated using backslashes and forward slashes respectively. Prolongations of the note were notated using periods, and silence was notated with the number zero. This method was primarily used to teach sight singing. The usage of symbols to indicate musical direction have been likened to an early version of graphic notation. As J. Y. Bosseur mentions in La musique du XXè siècle à la croisé des artes, the score progressed towards representing the management of space, a graphic space that allows us to know the multiple connections enclosed within it. Graphic notation in its modern form first appeared in the 1950s as an evolution of movement of Indeterminacy as pioneered by John Cage. The technique was originally used by avant garde musicians and manifested itself as the use of symbols to convey information that could not be rendered with traditional notation such as extended techniques. Graphic scores have, since their conception, evolved into two broadly defined categories, one being the invention of new notation systems used to convey specific musical techniques and the other the use of conceptual notation such as shapes, drawings and other artistic techniques that are meant to evoke improvisation from the performer. Examples of the former include Morton Feldman's Projection 1, which was the result of Feldman drawing abstract shapes on graph paper,

Other notable pioneers of graphic notation include composers such as Roman Haubenstock Ramati, Mauricio Kagel, György Ligeti (Artikulation), Krzysztof Penderecki, Karlheinz Stockhausen, and Iannis Xenakis, Morton Feldman, Constance Cochnower Virtue, and Christian Wolff.

In 2008, Theresa Sauer edited a compendium featuring graphic scores by composers from over fifty countries, demonstrating how widespread the practice has become. In addition to the more widespread popularity of graphic notation, new technology has expanded its possibilities. In his book The Digital Score: Musicianship, Creativity, and Innovation, Craig Vear describes how Artificial Intelligence and animation can be used to enhance the graphic score experience. He claims that these technologies are "the logical development of graphic score experiments from the latter part of the twentieth century. An interesting element of these is that they have to move in order for them to be read; without movement, they are unintelligible."

Time based pictographic scores such as Waterwalk by John Cage, uses a combination of time marking a pictographic notation as instruction on how and when to perform certain actions. Pictographic scores such as Stripsody by Cathy Berberian use only drawings and text, foregoing any sort of time reference. This allows the performer to interpret the piece as they like. Line staves showing approximate pitch, with the actual pitches being decided upon performance. Altered notation can be seen in George Crumb's work, where he uses traditional notation but presents the music on the page in a graphic or nontraditional manner such as spirals or circles. One example of altered notation is Crumb's Makrokosmos" for Amplified Piano. Crumb's score contained three detailed pages of instructions, with movements including Primeval Sounds, Crucifixus and Spiral Galaxy. New specific notation system, that is, a new of specifically and graphically notate musical actions like that of Xenakis' Psappha.

Time based abstract representation, can be seen in Hans Christoph Steiner's score for Solitude in which the music is represented using symbols and illustrations. Note that here, time is still represented horizontally from left to right like in a pitch graph system, and thus implies that the piece has a specific form. Time based abstract notation, such as Rudolf Komorous's Chanson utilizes abstract notation with time indication, or least a direction in which the piece is read and therefore implies a form. although it may appear to be random squiggles, each line indicates a different style of singing, notated in wavy lines in ten different colors, and the black squares indicate non specified 'non musical' sounds. Free abstract notation, such as Mark Applebaum's "The Metaphysics of Notation" and where elements of traditional music notation are melded with abstract designs. Another example is Tom Phillips' Golden Flower Piece, this piece uses uppercase letters to show notes that should be played in the bass, and lowercase letters played in a higher register. You're allowed to add flats and sharps as you please. And the dots around the notes are supposed to help with how loud to play the note, and how long to hold it for.