William E. Caplin (born 1948) is an American
music theorist
Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. '' The Oxford Companion to Music'' describes three interrelated uses of the term "music theory": The first is the " rudiments", that ...
who lives and works in
Montreal, Quebec
Montreal is the List of towns in Quebec, largest city in the Provinces and territories of Canada, province of Quebec, the List of the largest municipalities in Canada by population, second-largest in Canada, and the List of North American cit ...
,
Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...
, where he is a James McGill Professor at the
Schulich School of Music of
McGill University
McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, ...
. Caplin served as president of the
Society for Music Theory from 2005 to 2007 and was its vice-president from 2001 to 2003. His earlier work concentrated on the history of music theory,
[William E. Caplin. (1981). ''Theories of Harmonic-Metric Relationships from Rameau to Riemann''. PhD diss. University of Chicago.] but he is best known for a series of articles and two books on
musical form
In music, ''form'' refers to the structure of a musical composition or musical improvisation, performance. In his book, ''Worlds of Music'', Jeff Todd Titon suggests that a number of organizational elements may determine the formal structure of a ...
in European music around 1800. The first of those books, ''Classical Form: A Theory of Formal Functions for the Music of Haydn, Mozart, and Beethoven,'' has been widely influential and was a major factor in the revival of interest in musical form in North American music theory.
Theory of formal functions
''Classical Form'', along with a more recently published, lengthy textbook intended for both undergraduate and graduate levels, expounds a theory and analytical method for the music of the "high Classical" era (roughly, the two decades before and after 1800). The theory is grounded in eighteenth-century compositional pedagogy and in work by
Arnold Schoenberg
Arnold Schoenberg or Schönberg (13 September 187413 July 1951) was an Austrian and American composer, music theorist, teacher and writer. He was among the first Modernism (music), modernists who transformed the practice of harmony in 20th-centu ...
and his pupil
Erwin Ratz. Broadly, the theory can be understood as "a generalized taxonomy of Classical form gleaned from a large repertory of works rather than the description of the organic wholeness or the uniqueness of events in any one work."

Schoenberg’s concept of the "basic idea" (here understood as a two-measure unit) and his distinction between
period and
sentence—two models for
themes—are the foundation for a theory based on a dichotomy between "tight-knit" and "loose" designs and on "beginning," "middle," and "end" functions. The core figure is the theme (understood paradigmatically as eight bars in length), but formal functions can be extended outward to form sections and entire movements. "Tight-knit" themes and small forms are the sentence, period, hybrid, and compound (16-bar) themes, small ternary, and small binary. "Looser formal regions" are the subordinate theme,
transition,
development
Development or developing may refer to:
Arts
*Development (music), the process by which thematic material is reshaped
* Photographic development
*Filmmaking, development phase, including finance and budgeting
* Development hell, when a proje ...
,
recapitulation, and
coda.
The period is the symmetrical or balanced design familiar from traditional form theory: an
antecedent phrase with two contrasting ideas is followed by a
consequent phrase that repeats (or slightly varies) the initial two-bar idea and adds a
cadential idea to close. The sentence is a progressive or developmental design, where a presentation phrase consists of an idea and its repetition (often varied or transposed) followed by a continuation phrase that, ideally, fragments the initial idea by breaking it into one-bar motives and thereby accelerating movement toward the cadence. The less common hybrid themes mix the components in variously different ways (for example, the antecedent + continuation theme).
The theme types:
*Sentence
*Period
*Hybrid 1: antecedent + continuation
*Hybrid 2: antecedent + cadential
*Hybrid 3: compound basic idea + continuation
*Hybrid 4: compound basic idea + consequent
For hybrid 2: "cadential" refers to a phrase where a typical progression in a cadence (usually just two bars) is stretched over the entire phrase. Often this function is filled by the Expanded Cadential Progression (ECP) or I–ii–V–I. For hybrids 3 and 4: the compound basic idea is itself a hybrid: it has the antecedent's basic idea & contrasting idea pair, but it has the presentation's (usually) simple tonic prolongation. From these examples it can be seen that harmony has a powerful, often determining, role in Caplin's theory.
Compound themes are of two types: the 16-measure period, which is the same as the traditional double period, and the 16-measure sentence. The 16-measure period opens with an antecedent consisting of any eight-bar theme, which ends with a
half cadence
In Western musical theory, a cadence () is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards.Don Michael Randel (1999). ''The Harvard Concise Dic ...
(HC) rather than a
perfect authentic cadence
In Western musical theory, a cadence () is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards.Don Michael Randel (1999). ''The Harvard Concise Dict ...
(PAC). The eight-bar consequent repeats the opening but adjusts the cadence to a PAC. The 16-measure sentence is paradigmatically an eight-bar presentation, consisting of a compound basic idea and its repetition, followed by an eight-bar continuation with the typical features of fragmentation and
sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is cal ...
.
In larger contexts in
Classical-era music, passages of tight-knit and loose-knit functions tend to alternate, the tight-knit units being represented by the themes above, the loose knit units by isolated phrases, model-sequence groups, "standing on the dominant," and other entities.
Pragmatically, the "strict definition of formal categories
sapplied with ‘considerable flexibility’ in analysis." Thus, data for a set of analyses could be read as objective information but could just as easily be taken as a catalogue of the analyst’s choices. The assignment of labels for thematic elements often involves a judgment call. The form-function theory, in other words, is both taxonomic and interpretative; it is from balancing the two that one can learn the most about the repertoires under analysis. The theory has, nevertheless, been criticized for a "zeal for exhaustive theoretical and terminological rigor" that can interfere with that flexibility in analysis, and specifically for its "dogged adherence to a rigidly quadratic conception of grouping structures"
ource needed, linked source does not contain any of these quotes that is, to ideas defined as two bars and themes defined as eight bars. A related criticism is Caplin's "tendency to substitute
formal/functionalarchetype for the music in question as the point of reference for analytical discussion."
Although intended for, and derived specifically from, the music of Haydn, Mozart, and Beethoven, the theory of formal functions has been extended by various authors, mostly to later repertoires and largely in connection with the sentence paradigm (notably,
Schubert
Franz Peter Schubert (; ; 31 January 179719 November 1828) was an Austrian composer of the late Classical period (music), Classical and early Romantic music, Romantic eras. Despite his short life, Schubert left behind a List of compositions ...
,
Schumann
Robert Schumann (; ; 8 June 181029 July 1856) was a German composer, pianist, and music critic of the early Romantic music, Romantic era. He composed in all the main musical genres of the time, writing for solo piano, voice and piano, chamber ...
,
Wagner
Wilhelm Richard Wagner ( ; ; 22 May 181313 February 1883) was a German composer, theatre director, essayist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most o ...
,
Schoenberg, and
music in film) but occasionally earlier as well (especially
J.S. Bach). See "Further reading" below.
In German-speaking discourse, Caplin's understanding of "Formfunktionen" (formal functions) and the coupling of "formal functions" and "loose" designs has been criticized as dogmatic.
[Ulrich Kaiser, “Formfunktionen der Sonatenform. Ein Beitrag zur Sonatentheorie auf der Grundlage einer Kritik an William E. Caplins Verständnis von Formfunktionen,” ''Zeitschrift der Gesellschaft für Musiktheorie'' (=ZGMTH) 15/1 (2018): 29-79]
Link
/ref>
References
Further reading
* Matthew BaileyShea, "Beyond the Beethoven Model: Sentence Types and Limits," ''Current Musicology'' 77 (2004): 5-33.
* Matthew BaileyShea, "Wagner's Loosely Knit Sentences and the Drama of Musical Form," ''Intégral'' 16-17 (2002): 1-34.
* Pieter Bergé and Ludwig Holtmeier, eds., ''Musical Form, Forms & Formenlehre: Three Methodological Reflections''. Leuven University Press (Belgium), 2009.
*"Contemplating Caplin": Special issue of ''Intersections: Canadian Journal of Music/Revue canadienne de musique'' XXXI/n1 (2010).
*David Forrest and Matthew Santa, "A Taxonomy of Sentence Structures," ''College Music Symposium'' 54 (2014).
*Peter Franck, "Canon and Its Effect on Tight-Knit Organization within Classical Themes," ''Intégral'' (Eastman School of Music) 26 (2012).
* John Y. Lawrence, "Toward a Predictive Theory of Theme Types," ''Journal of Music Theory'' 64/1 (2020): 1-36.
* Frank Lehman, "Hollywood Cadences: Music and the Structure of Cinematic Expectation," ''Music Theory Online'' 19/4 (2013
Link
*Nathan Martin, "Formenlehre goes to the opera: Examples from Armida and elsewhere," ''Studia musicologica: An International Journal of Musicology of the Hungarian Academy of Sciences'', 51/ns3-4 (2010): 387-404.
*Nathan Martin, "Schumann's Fragment," ''Indiana Theory Review'' 28/1-2 (2010): 85-109.
*Eric McKee, "Influences of the Early Eighteenth-century Social Minuet on the Minuets from J.S. Bach's French Suites, BWV 812-17," ''Music Analysis'' 18/2 (1999): 235-260.
* David Neumeyer, "The Contredanse, Classical Finales, and Caplin’s Formal Functions," ''Music Theory Online'' 12/4 (2006
*David Neumeyer, ''Formal Functions in Menuets by Mozart, Part 1: Orchestral Works and Independent Sets'', Texas ScholarWorks 201
Link.
*Michael Oravitz, "The Use of Caplin/Schoenberg Thematic Prototypes in Melodic Dictations," ''Journal of Music Theory Pedagogy'' 26 (2012): 101-13
Link
*Mark Richards, "Viennese Classicism and the Sentential Idea: Broadening the Sentence Paradigm," ''Theory and Practice'' 36 (2011): 179-224.
*Mark Richards, "Film Music Themes: Analysis and Corpus Study," ''Music Theory Online'' 22/1 (2016
*Mark Richards, "Teaching Sonata Expositions Through Their Order of Cadences," ''Journal of Music Theory Pedagogy'' 26 (2012): 215-25
Link
*Mark Richards, "Sonata Form and the Problem of Second-theme Beginnings," ''Music Analysis'' 32/1 (2013): 3-45.
*Matthew Riley, "Haydn's Missing Middles," ''Music Analysis'' 30/1 (2011): 37-57.
*Matthew Riley, "The Sonata Principle Reformulated for Haydn Post-1770 and a Typology of his Recapitulatory Strategies," ''Journal of the Royal Musical Association'' 140/1 (2015): 1-39.
*Stephen Rodgers, "Sentences with Words: Text and Theme-Type in ''Die schöne Müllerin''," ''Music Theory Spectrum'' 36/1 (2014): 58–85.
*Stephen Rodgers, "Schubert’s Idyllic Periods," ''Music Theory Spectrum'' 39/2 (2017): 223–46.
*Steven Vande Moortele, "Sentences, Sentence Chains, and Sentence Replication: Intra- and Interthematic Formal Functions in Liszt's Weimar Symphonic Poems," ''Intégral'' 25 (2011): 121-58.
External links
*
William Caplin
faculty page at McGill University
{{DEFAULTSORT:Caplin, William
American music theorists
Living people
1946 births