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Pitch is a perceptual property that allows sounds to be ordered on a frequency-related scale, [1] or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies. [2] Pitch is a major auditory attribute of musical tones, along with duration, loudness, and timbre ...
The fundamental concept of musical set theory is the (musical) set, which is an unordered collection of pitch classes. [4] More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). [5]
The result is a cyclical quotient group that music theorists call pitch class space and mathematicians call R/12Z. Points in this space can be labelled using real numbers in the range 0 ≤ x < 12. These numbers provide numerical alternatives to the letter names of elementary music theory:
A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of unsymmetrical sets is marked "A".
Western music defines pitches around a central reference "concert pitch" of A 4, currently standardized as 440 Hz. Notes played in tune with the 12 equal temperament system will be an integer number h {\displaystyle h} of half-steps above (positive h {\displaystyle h} ) or below (negative h {\displaystyle h} ) that reference note, and thus have ...
Music theory is the study of theoretical frameworks ... some theorists have used abstract algebra to analyze music. For example, the pitch classes in an equally ...
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 ...
A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes , but theorists have extended its use to other types of musical ...
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