Post-Tonal Theory

What is the common term for a musical composition that intentionally avoids reference to a tonal center or centers?

In atonal theory, what is the term introduced by composer and theorist Milton Babbitt for a meaningful group of related pitch classes?

Using the fixed-zero integer notation system where C is equal to 0, what integer corresponds to the pitch class G-sharp?

What is the primary objective when arranging the members of a pitch class set into its normal form?

When determining the normal form of a pitch class set, if a tie occurs for the smallest outside interval between two or more orderings, what is the immediate next step to resolve the tie?

What is the cardinality, or number of members, of a pitch class set that is referred to as a 'tetrachord'?

A 'set class' is defined as a family of pitch class sets that are related by which two fundamental atonal operations?

In the context of twelve-tone serialism, what are the four basic transformations of a series or row?

Which composer is generally credited with developing and codifying the twelve-tone method of composition?

According to the principles of Schoenberg's twelve-tone music, what is the general rule regarding the reuse of a pitch class from the row?

What is the term for a twelve-tone series in which each of the 11 possible intervals appears exactly once, as illustrated in a work by Dallapiccola?

What compositional device, introduced by Arnold Schoenberg and associated with his 'Five Pieces for Orchestra, op. 16', describes a melody created by the rapid shifting of tone colors?

What is the definition of 'integral serialism,' also known as 'total serialization'?

Which composer's rhythmic etude 'Mode de valeurs et d’intensités' is cited as having a profound influence on the development of integral serialism?

In Olivier Messiaen's 'Mode de valeurs et d’intensités,' how many pitches are included in the overall series and how is it structured?

In the atonal operation TnI, what does the 'I' represent?

What does the interval vector of a pitch class set specifically represent?

How many distinct forms does a typical, non-symmetrical set class have?

A pitch class set that has fewer than 24 distinct forms is described as being what?

In Pierre Boulez's work 'Structures Ia', the pitch series used for the composition was adapted from which specific work by another composer?

What is the term for the analytical process of partitioning a piece of atonal music into meaningful groups of related pitch classes?

In modulo 12 arithmetic, what is the result of the operation 3 plus 10?

Using modulo 12 arithmetic as described in the chapter, what is the result of the calculation 4 minus 10?

What are the two defining characteristics of the prime form of a pitch class set?

What analytical tool is described as the most convenient for obtaining and visualizing all 48 possible forms of a twelve-tone series?

When using a 12x12 matrix to analyze a twelve-tone piece, how are the prime series forms (P) typically read?

When using a 12x12 matrix to analyze a twelve-tone piece, how are the inversion forms (I) typically read?

In the context of Anton Webern's music, what process is referred to by the term 'pointillism'?

Which American composer is credited as being the first to explore the serialization of elements other than pitch in his 1947 work 'Three Compositions for Piano'?

In Pierre Boulez's 'Structures Ia', how are the series for duration derived?

What is the Forte name for the set class represented by the prime form (014)?

Which interval class (ic) corresponds to the traditional tonal intervals of a major third and its inversion, the minor sixth?

In the twelve-tone series from Webern's Symphony op. 21, what is the relationship between the second hexachord (the last six notes) and the first hexachord?

In twelve-tone theory, what symbol is used to designate the 12 prime forms of a series?

In Ross Lee Finney's twelve-tone piece 'All Alone', the D at the end of bar 4 serves as both the last note of one row form and the first note of the next. What is this technique called?

When constructing a 12x12 matrix for a twelve-tone series, what is listed down the first column?

Which two composers, who were students of Olivier Messiaen at the Darmstadt summer music course, were profoundly influenced by his experiments in integral serialism?

What is the cardinality, or number of members, of a pitch class set referred to as a 'septachord'?

In the procedure to determine the prime form of a pc set, what is the final tie-breaking rule if multiple orderings remain tied after all interval comparisons?

Using modulo 12 arithmetic, what is the resulting pc set after applying the transposition T5 to the set [7, 8, 11]?

What is the interval vector for the set class 3-3, which has the prime form (014)?

Which of Arnold Schoenberg's guiding principles for his twelve-tone music was a conscious move away from the sound of traditional triadic harmony?

The twelve-tone series from Alban Berg's Violin Concerto is notable for containing the open strings of the violin and, in its last four notes, a segment of which scale?

In a standard 12x12 matrix for a twelve-tone series, which forms are read by starting at the right side of a row and reading to the left?

The symbol Rx, where x is a transposition index from 0 to 11, is used to indicate which type of twelve-tone series form?

What is the primary purpose of a pitch class clockface diagram in atonal theory?

What term is used in atonal theory to refer to the number of members a pitch class set contains?

When the operation T11I is applied to the set [7, 8, 11], what is the resulting set's normal form?

In integral serialism, as exemplified by the work of Messiaen and Boulez, which of the following is a musical parameter, other than pitch, rhythm, and dynamics, that is often subjected to ordering?

What term describes a pitch class set that can be mapped onto itself through an inversional operation (TnI)?