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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 ...
Pitch axis theory refers to a way of thinking about chord progressions and modes, that was heavily used and popularized (though not invented) by the guitarist Joe Satriani. [ 1 ] When composing using this concept, the pitch axis is simply a chosen note (a specific pitch), which is thought of as the tonic for a sequence of chords , which must ...
Music theory is the study of theoretical frameworks for understanding the practices and possibilities of ... of pitches and pitch classes (pitch-class set theory), ...
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 unordered pitch class interval i(a, b) may be defined as (,) = , , ,where i a, b is an ordered pitch-class interval (Rahn 1980, 28).. While notating unordered intervals with parentheses, as in the example directly above, is perhaps the standard, some theorists, including Robert Morris, [1] prefer to use braces, as in i{a, b}.
Place theory is a theory of hearing that states that our perception of sound depends on where each component frequency produces vibrations along the basilar membrane.By this theory, the pitch of a sound, such as a human voice or a musical tone, is determined by the places where the membrane vibrates, based on frequencies corresponding to the tonotopic organization of the primary auditory neurons.
In the integer model of pitch, all pitch classes and intervals between pitch classes are designated using the numbers 0 through 11. It is not used to notate music for performance, but is a common analytical and compositional tool when working with chromatic music, including twelve tone , serial , or otherwise atonal music.
Set 3-1 has three possible rotations/inversions; the normal form (left) is the most compact, corresponding to the smallest sectorIn musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in The Structure of Atonal Music (1973, ISBN 0-300-02120-8).