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This is a list of set classes, by Forte number. [1] 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 ...
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 ...
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).
A pitch class is a set of all pitches that share the same chroma, just like "the set of all white things" is the collection of all white objects. [ 4 ] In standard Western equal temperament , distinct spellings can refer to the same sounding object: B ♯ 3 , C 4 , and D 4 all refer to the same pitch, hence share the same chroma, and therefore ...
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 ...
The transposition of a set A by n semitones is designated by T n (A), representing the addition of an integer n to each of the pitch class integers of the set A. [1] Thus the set ( A ) consisting of 0–1–2 transposed by 5 semitones is 5–6–7 ( T 5 ( A )) since 0 + 5 = 5 , 1 + 5 = 6 , and 2 + 5 = 7 .
The unordered pitch class interval is 'interval class 3' which is also used to describe major 6th. Play ⓘ. In musical set theory, pitch-class intervals do not distinguish between octaves since pitch-classes themselves treat all octaves as being equivalent. There are two kinds of pitch-class intervals: ordered pitch-class interval (also called ...
Successive Z-related hexachords from act 3 of Wozzeck [4]: 79 Play ⓘ. In musical set theory, a Z-relation, also called isomeric relation, is a relation between two pitch class sets in which the two sets have the same intervallic content (and thus the same interval vector) but they are not transpositionally related (are of different T n-type ) or inversionally related (are of different T n /T ...