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In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position."
The normal form of the diatonic scale, such as C major; 0, 2, 4, 5, 7, 9, and 11; is 11, 0, 2, 4, 5, 7, and 9; while its prime form is 0, 1, 3, 5, 6, 8, and 10; and its Forte number is 7-35, indicating that it is the thirty-fifth of the seven-member pitch class sets. Sets of pitches which share the same Forte number have identical interval ...
The complement of set X is the set consisting of all the pitch classes not contained in X. [12] The product of two pitch classes is the product of their pitch-class numbers modulo 12. Since complementation and multiplication are not isometries of pitch-class space, they do not necessarily preserve the musical character of the objects they ...
The chromatic circle, the outer level of Lerdahl's model of pitch-class space. In music theory, pitch-class space is the circular space representing all the notes (pitch classes) in a musical octave. In this space, there is no distinction between tones separated by an integral number of octaves. For example, C4, C5, and C6, though different ...
Here T o is the transposition corresponding to t o (or o, according to Schuijer); p i,j is the pitch of the ith tone in P belong to the pitch class (set number) j. [ 3 ] Allen Forte defines transposition so as to apply to unordered sets of other than twelve pitches:
A common tone is a pitch class that is a member of, or common to, a musical scale and a transposition of that scale, as in modulation. [1] Six of seven possible common tones are shared by closely related keys, though keys may also be thought of as more or less closely related according to their number of common tones. "Obviously, tonal distance ...
Spiral array model: pitch class, major/minor chord, and major/minor key helices. The model as proposed covers basic pitches, major chords, minor chords, major keys and minor keys, represented on five concentric helices. Starting with a formulation of the pitch helix, inner helices are generated as convex combinations of points
Absolute pitch is the ability to perceive pitch class and to mentally categorize sounds according to perceived pitch class. [38] A pitch class is the set of all pitches that are a whole number of octaves apart. While the boundaries of musical pitch categories vary among human cultures, the recognition of octave relationships is a natural ...