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Karlheinz Stockhausen lecturing on Klavierstück XI at Darmstadt, July 1957. Aleatoric music (also aleatory music or chance music; from the Latin word alea, meaning "dice") is music in which some element of the composition is left to chance, and/or some primary element of a composed work's realization is left to the determination of its performer(s).
Bernstein was born in Newark, New Jersey and grew up there; he graduated from Weequahic High School in Newark in 1945. [3] [4] He began teaching piano at the age of fifteen, when his teacher at the time, Clara Husserl, a pupil of Theodor Leschetizky, arranged for him to supervise the practicing of some of her gifted younger pupils.
Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...
Bayesian probability (/ ˈ b eɪ z i ə n / BAY-zee-ən or / ˈ b eɪ ʒ ən / BAY-zhən) [1] is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation [2] representing a state of knowledge [3] or as quantification of a personal belief.
Music of Changes is a piece for solo piano by John Cage. Composed in 1951 for pianist and friend David Tudor , it is a ground-breaking piece of indeterminate music . The process of composition involved applying decisions made using the I Ching , a Chinese classic text that is commonly used as a divination system.
A man tuning an upright piano. Piano tuning is the process of adjusting the tension of the strings of an acoustic piano so that the musical intervals between strings are in tune. The meaning of the term 'in tune', in the context of piano tuning, is not simply a particular fixed set of pitches. Fine piano tuning requires an assessment of the ...
The probability that 100 randomly typed keys will consist of the first 99 digits of pi (including the separator key), or any other particular sequence of that length, is much lower: (1/90) 100. If the monkey's allotted length of text is infinite, the chance of typing only the digit of pi is 0, which is just as possible (mathematically probable ...
In probability theory, a probability space or a probability triple (,,) is a mathematical construct that provides a formal model of a random process or "experiment". For example, one can define a probability space which models the throwing of a die. A probability space consists of three elements: [1] [2]
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