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All-Interval Series  A series in which all eleven intervals are different.
Atonal  Music that avoids reference to a tonal center or centers.
Atonal Theory  A general term used to describe methods of analyzing atonal music.
Cardinality  The number of members a pitch class set contains.
Forte Name  Method of referring to a set class, developed by theorist Allen Forte. In this system, each prime form is assigned a compact name represented by two numbers; the first denotes its cardinality, while the second denotes its relative position to other prime forms of the same cardinality.
Integral Serialism  The method of ordering musical parameters other than pitch, such as rhythm, dynamics, and articulation.
Interval Class (ic)  The shortest distance (in semitones) between two pitch classes.
Interval Vector  Gives a rough approximation of the quality of a sonority by listing the number of occurrences of each interval class in that sonority (can also be referred to as interval-class vector).
Inversion  The compound operation (TnI): PC inversion followed by transposition (Tn).
Inversionally Symmetrical Sets  Sets that map onto themselves under TnI.
Klangfarbenmelodie  Translates literally to "sound color melody." Refers to the technique of juxtaposing minute melodic fragments of contrasting timbre and register, resulting in a melody created by rapidly shifting tone colors.
Normal Order (Normal Form)  The most compact arrangement of the members of a pc set, listed from left to right in ascending order within an octave (notated using square brackets with intervening commas).
Order Numbers  Indicate the relative order position of each pitch class within a particular series form.
PC Inversion  In atonal theory, subtraction from 12 mod 12
Pitch Class Sets (pc sets)  Term used to describe pitch structures in atonal music; meaningful groups of related pitch classes.
Pointillism  The process of atomizing (separating) the notes of a melodic line.
Prime Form  A way of arranging a pc set so that it begins with 0 and is most packed to the left (notated using parentheses but no intervening commas or spaces).
Row  In twelve-tone music, a specific ordering of all twelve pitch classes.
Segmentation  The process of partitioning a piece of atonal music into pitch class sets based on relationships formed by parameters such as pitch, rhythm, phrasing, register, and timbre.
Series  In twelve-tone music, a specific ordering of all twelve pitch classes.
Set Theory  A general term used to describe methods of analyzing atonal music.
Total Serialization  The method of ordering musical parameters other than pitch, such as rhythm, dynamics, and articulation.
Transposition Index  Indicates the level of transposition in semitones (upward within the octave) from the first pitch class of the series.
Transpositionally Symmetrical Sets  Sets that map onto themselves under Tn (at levels other than T0).
Twelve-Tone Method  Compositional method designed to methodically equalize all twelve pitch classes. Each piece is based on a precompositional series or row, and strictly speaking, none of the tones may be repeated before all twelve have sounded. Each row may be subjected to one of four basic transformations transposition, inversion, retrograde, or retrograde inversion.







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