Musical Proportion and Formal Function in Classical Sonata Form: Three Case Studies from Late Haydn and Early Beethoven Author(s): James S. MacKay Source: Theory and Practice , 2004, Vol. 29 (2004), pp. 39-67 Published by: Music Theory Society of New York State Stable URL: https://www.jstor.org/stable/41054354 JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at https://about.jstor.org/terms Music Theory Society of New York State is collaborating with JSTOR to digitize, preserve and extend access to Theory and Practice This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Musical Proportion and Formal Function in Classical Sonata Form: Three Case Studies from Late Haydn and Early Beethoven James S. MacKay "Sonata form" - the analytical brainchild of Antonin Reicha, A.B. Marx, and Carl Czerny in the first quarter of the nineteenth century - remains today a problematic paradigm. The inadequacy of the "textbook" model to explain the musical choices of especially Haydn and Beethoven is evident whenever one examines their sonata-form compositions. Consequently, writers from Donald Francis Tovey to William S. Newman and Charles Rosen have sounded various cautionary notes concerning this model, and have inspired others in recent times to search for new, more flexible means of describing how Classical sonata form functions musically. The past few years have witnessed the appearance of two analytical approaches that can assist us in the quest. First, there is William Caplin's taxonomy of Classical instrumental music at the level of the four-measure phrase and the two-measure phrase member.1 It provides us with the technical means to identify thematic and transitional units and to distinguish between them on the basis of their syntactical components. Second, there is James Hepokoski and Warren Darcy's identification of breaks in musical action (i.e., medial caesuras and essential expositional closures) as analogues to punctuation in language, which they use to demarcate formal events in sonata expositions.2 Both approaches draw heavily on historical views of musical form: Caplin's ideas about formal function derive from Schoenberg and Ratz;3 Hepokoski and Darcy's interest in musical breaks as large-scale formal determinants is an extension of Heinrich Christoph Koch's concept of "melodic punctuation."4 Hepokoski and Darcy suggest a rather wide - but nonetheless distinct range of possible temporal locations, within a sonata-form exposition, for each type of melodic punctuation. Their data suggests that the temporality of musical events is more integral to a listener's perception of musical succession than has been hitherto assumed. Indeed, it could be argued that the musical proportion of an exposition's formal components (i.e., main theme, transition, subordinate theme, closing section)5 influences subconsciously how we formally partition a sonata exposition, regardless of the literal form-functional meaning of each expositional segment, as determined by Caplin. Accordingly, this study seeks to 39 This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 40 Theory and Practice reconcile and combine the two approac how a listener experiences sonata form expositions, but the principles sugg understanding of sonata-form movem conclude with an examination of a c Symphony No. 90. In introducing the discussion at hand, Hepokoski and Darcy's analytic approa Caplin proposes that each musical c ciñc formal function within a composi as an initiating, intermediate, or conclu units then combine in different ways eight-measure sentence is formed from ately repeated and then followed by fr common structure for a main theme) non-thematic region such as a transiti mal functions can be employed differ thematic locations within the form. T main themes, subordinate themes, and resemble the last-mentioned formal re they contain, and the order in which between tight-knit and loose thematic tactical components. Tight-knit th temporally balanced phrase members sisting of a pair of two-measure phra theme). Techniques that create mus (such as fragmentation, extension, a organization.6 Caplin shows how form main themes, while formal loosening group. (Transitions and developments themes as to their formal structure, between formal regions of relative ton Although they are conversant wi Darcy take a different tack. Rather t from small motivic kernels (à la Scho musical punctuation as a way of demar sonata form. As of this writing, their in full; an article entitled "The Media Century Sonata Exposition" (to whi article, "Beyond the Sonata Principle") However, to the extent that ideas pres those of Caplin, the article provides sonata form. As a preliminary step in demarcating the various events of a sonata-form exposition, Hepokoski and Darcy identify points at which the musical flow This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 4 1 breaks, taking their lead from Koch's notion of "melodic emphasis on musical punctuation displays the authors' interes based analogies to explain the exposition's succession of even forms of musical punctuation are the medial caesura and th ordinate theme's conclusion, which effects essential expositio presence and location of the medial caesura is crucial for dete structure of a sonata-form exposition, I will describe it at len As Hepokoski and Darcy note, the medial caesura typ exposition more or less at its midpoint. This cadence can be o half cadence (HC) in the tonic, a HC in the subordinate key, tic cadence (PAC) or (more rarely) imperfect authentic c subordinate key; the second of these types is by far the most ures leading to this caesura are often rather dynamic in char Darcy note that the harmony preceding the medial caesura chord (e.g., a secondary dominant or augmented-sixth chord) orous, highly active," and the dynamic level is quite loud, usu threefold "hammer blows" reiterating the goal harmony of this juncture in the musical flow is often highlighted with a gran ish. One of Hepokoski and Darcy's major contributions to a deeper understanding of sonata form is their acknowledgement that temporal location is a vital determinant of formal boundaries. (Their three subcategories of medial caesura, listed above, occur progressively later in the exposition.) This attention to temporal location is tied to a specifically Classical sense of musical balance. For a sensitive listener attuned to the norms of the style, it is often possible to get a sense of where one is situated formally in a work by Haydn, Mozart, or Beethoven, on the basis of musical proportion. The ensuing discussion will explore how this balanced musical proportion operates in Classical music at various levels of structure. Even at the level of the two-measure phrase member (the smallest formal level in Caplin's system), a certain temporal balance is expected in Classical style. Indeed, a sense of balance and regularity is often considered to differentiate Classical music from that of the bordering Baroque and Romantic styles. Caplin's theory considers the four-measure phrase, made up of a pair of equally weighted two-measure phrase members, to be the normative model. Any alteration of this standard pattern is an example of musical extension or contraction. Thus, one would hear (for example) a three-measure phrase member in the context of the typical two-measure unit (or four-measure phrase) that it deforms.12 This notion of balance occurs at the thematic level of structure as well. Classical themes are typically built out of phrases of equal length: the proportions of phrase 1 tend to demand an equivalent response, temporally speaking, in phrase 2. Thus, the standard four-bar antecedent typically demands a consequent of roughly equal length. Similarly, an irregular antecedent often demands an equally irregular consequent as a counterbalance. This point is illustrated by the minuet from Haydn's Quartet in G Major, op. 54, no. 1 (see Example 1): its opening tenmeasure theme balances a five-measure antecedent phrase with a consequent This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 42 Theory and Practice Example 1. Haydn, String Quartet i third movement, mm. 1-10. ANTECEDENT CONSEQUENT Basic idea Contrasting idea (extension) Basic idea (HC) Contrasting idea (expanded) 7 ^(P ph an m en w Th op in th ic ph ex te w co fe ba on ba de Ha m Ca a lar se m ke sim te This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 43 Example 2. Haydn, Piano Trio in G Major, Hob. X first movement, mm. 1-23. PARTI ANTECEDENT (4 measures) CONTINUATION (6 measures) (HC) (PAC, D major) PART 2 CONTRASTING MIDDLE (4 measures) CONTINUATION (7 measures) (HC) _^ (codetta) (PAC) the overall procedure in the larger for smaller one that it expands. The concern for proportion implici view of sonata-form expositions. Their arating the Principal theme-Transitio departs from the home tonality, from which introduces and then confirms t sion feels like a "halfway" mark in its temporal location. They furthermore d basis of the presence or absence of suc in structure if a medial caesura is pre exposition") if it is absent.15 As Hepokoski and Darcy explain, t determined by its harmonic goal) helps ment in a sonata exposition - at lea exposition establishes a home tonality purpose of establishing a complemen departure from the original tonality, s along in the form the various types o This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 44 Theory and Practice occur. Not suq^risingly, a HC in the default" for the medial caesura) typical does a HC in the subordinate key, or a Darcy's second-level and third-level cadence types are each a progressively the home tonality and establishing the su tive temporal placement in the flow of If a medial caesura arrives "too so likely be unconvinced musically of its this moment-by-moment perception might break down a complex type of d even at first hearing. To begin with, length. This length, moreover, is alre opening phrase (since, as suggested a paired with a second phrase of equal le cal proportion for the succession of m work being experienced for the first t Regardless of initial impressions, o poorly) executed proportions in subse upon revisiting the complex forms of the formal subtleties and ambiguities giving way to a complementary tonali will now be considered through two ambiguous medial caesura: the first Major, op. 10, no. 2; and Haydn's Piano Beethoven's Sonata in F Major has b Haydn's joking style.18 Certainly its o norms and thematic devices of Classical sonata form in a willful and comic manner. As illustrated by Example 3, the movement departs its home tonality very quickly: after only twelve measures of main-theme material in a fast duple meter, Beethoven leaves the home key in the subsequent phrase (mm. 13-18) and leads (rather oddly and abruptly) to a HC in A minor! However, in m. 19, he immediately establishes the expected subordinate key of C major; and so one might consider the anomalous cadential goal (V of the minor mediant key) to be the exposition's medial caesura, despite its early placement and "incorrect" tonal ori- entation. If there were no other candidates for this point of punctuation, we would be forced to accept m. 18 in retrospect as the true medial caesura. To cite a related case, the first movement of Beethoven's "Waldstein" Sonata in C Major, op. 53, modulates to V of III (a HC in E major) after departing the home tonality. Because no conventional half cadence in the dominant appears later in the exposition, this odd cadential goal, leading toward the mediant major key, is apparently to be taken as the exposition's true medial caesura. (This reading is confirmed by a twelve-measure passage prolonging the dominant harmony - Hepokoski and Darcy's "caesura fill"19 - and subsequently the onset of the subordinate theme in E major.) However, such a cadence in the "wrong" tonal location could certainly This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 45 Example 3. Beethoven, Sonata in F Major, op. 10, no first movement, mm. 1-19. MAIN THEME ^ Piano < p ^Tf ^x p-r-^ TRANSITION 8 ^^^ JÖ (PAC, F maj /^j" "% i -* < 14 WWf^ * /^r - ^ ^t~^n ,^r~"x ^ (HC, A minor) produce, in the stylistically aware listener, an expectation that a more normativ medial caesura (i.e., HC in the home tonality, or a HC or PAC in the compleme tary tonality) will occur at a later point in the exposition. Such is Beethoven's procedure in the F-major sonata. Both the odd tonal goal of the putative media caesura and its seeming premature appearance in the exposition hint that a subs quent musical correction will need to occur as the sonata movement unfolds. Given the main theme's twelve-measure span, combined with the Classica ideal of balanced musical proportion, one might surmise that the transition will of similar length. When this segment cuts off abruptly in the "wrong" key, aft only six measures, the effect is deliberately perfunctory. Nonetheless, there is l tle that is unusual about the putative thematic unit that begins in m. 19 - at lea not from a form-functional standpoint. The theme can be interpreted as a (slight expanded) sixteen-measure sentence, one of Caplin's compound theme mode This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 46 Theory and Practice Example 4. Beethoven, Sonata in F first movement, mm. 18-37. SENTENCE Piano < 18 i* ^ ~^IZ , /-- - 1 "ß- W ^" ^ (continuation) u ^ - ^/*~~~ >s < 24 ^^ -^ ^ HC (C major) 34 6 6 6 J^^a Mm. 19-26 can be unde a basic idea stated twic harmonic shape of the the subordinate tonalit length of this sentence as opposed to the usual switched in midstream This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 47 ically analogous to the two-measure norm. (Such a shift is Caplin never uses in his analyses.) However, that reading seem factory. Perhaps the irregular length of the material's formal uni theme is not what it appears to be, at least with regard to its f Moreover, in spite of the apparent initial aptness of this p the subordinate theme, the arrival of this new thematic reg tonal region seems distinctly premature - after all, we are bu ures removed from the main theme. As a result, the subordina be called such) must do some of the rhetorical work usually al tion, as Rosen has noted.21 Probably due to its early appearanc this theme, following its normative presentation phrase, quick acter of transitional material, leading (as traditions are wont t proper subordinate key (as shown in Example 4). It is as if introducing the "correct" medial caesura, which he had with "correct" cadence on the dominant of C major is more convin porally than the early HC in A minor: the requisite G-major ha 30, and is then prolonged through m. 37. Because the expositio ures in length, this harmony and its subsequent prolongation at the midpoint. In contrast, the "wrong" cadence in m. 18 can as having occurred far too early. Beethoven's playing with formal boundaries and listener e exposition has still not reached its conclusion, however. The the medial caesura (m. 38ff.) doesn't sound like the onset of a shaped like the concluding half of a longer thematic unit. Acc and Darcy, we would normally expect a beginning gesture to o caesura, but Beethoven follows the grand rhetorical pause on a thematic region that seems to begin somewhere in the midd As shown in Example 5, mm. 38-41 can be explained as cadential gesture (following Caplin), immediately repeated parallel minor. One might argue for an IAC in m. 41, had not ment in the musical flow been so ambiguous. M. 45, whic clarified tonal and form-functional matters with a PAC resolves deceptively to a remote Ab-major chord (bVI of C ma ing" of mm. 38^1 is revealed instead to be a pseudo-cadential that subsequently opens up into the subordinate theme's "true (mm. 47-55). Although it should be noted that Classical th begin as if in the middle of a longer idea (e.g., the main theme ment of Beethoven's op. 31, no. 3, can be understood in this to complicate further the clear establishment of the expositi aries. What ensues is the true conclusion of the subordinate theme: Beethoven follows the pseudo-cadential initiating gesture of mm. 38-45 with an expanded cadential progression (ECP),22 leading to the expected PAC that confirms the dominant tonality in m. 55. Following this cadence, the final twelve measures of the exposition are a non-problematic closing section: the harmonic content almost exclusively alternates tonic and dominant chords, thus serving to ground the formal tension that Beethoven had created earlier in the movement. This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 48 Theory and Practice Example 5. Beethoven, Sonata in F first movement, mm. 38-55. Basic idea? (pseudo-cadential) Piano < 38 (basic idea repeated) ñ I jf *^ S/^ (ECP) _ . ^ . JL ^ A ^ « < 46 PP cresc. (PAC) One could say that both Caplin's analytic systems are helpful (to some placed the formal boundaries in this tional reading of the exposition's fo theme arrives early (if a bit strange later onset for the subordinate them mine the location of the subordina 30-37 is surely far more emphatic t discrepancy in analytical results is m rather, it aptly illustrates this expo This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 49 Example 6. Haydn, Piano Trio in Fft Major, Hob. XV:2 first movement, mm. 1-16 (piano part only). Antecedent mf J fz PPiano < J ' (HC, F# minor) Failed consequent ' F ^ u<;H| theory of formal funct tively demonstrates th accomplished from the b ushers in the exposition Beethoven's deformati sonata greatly resembles his Piano Trio in Ft Min be segmented into a mai six measures that begins in Example 6, Haydn acc common time. The open This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 50 Theory and Practice the second phrase begins with the same consequent phrase) but subsequently and s in the relative major (i.e., A major). Caplin views the opening phrase as a fo sition ensuing in m. 5.26 To make this re movement as R=1/2N, so that the open equivalent to an eight-measure senten include the opening movements of Beeth and the "Waldstein" Sonata, op. 53. The ap the opening material cuts across formal b lowed by a transition that begins with t initiating procedure for the transitional of mm. 1-4 as the complete main theme, in two different ways. Mm. 5-8 could serv m. 9 would be the onset of an extended su in m. 28. Alternatively, mm. 5-21 could sition.29 In this reading, Part 1 of the t theme incipit, and subsequently leads (so tual subordinate key; and Part 2 (mm. rhetoric (increased harmonic and rhythm sage terminates with a second HC in the goal is prepared at length and confirmed To illustrate a different view of how t we turn to H.C. Robbins Landon. He anal bridge passage (i.e., transition).30 Thus, h parallel but oddly modulating mm. 5-8 to gests that m. 22 comprises the unequivoc A major. This tonal arrival, along wit Hepokoski and Darcy's signals for the on and the onset of distinctive thematic mat tion, leads Landon to identify the p movement's subordinate theme (see Exam I have suggested a range of possible for exposition, informed by the observation Landon. It is not my intention to privileg them are plausible. Which reading one p which HC in the subordinate key is inter and second, how one reads formally the o As noted above, if the movement's fir theme and transition regions, then th Caplin's criteria - must be a single sub beginning in m. 29). 32 Despite its prese clear articulation of the subordinate key ( be considered a continuation phrase in C onset of the subordinate theme region. Th ceding segment fully, and Caplin requires This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 5 1 Example 7. Haydn, Piano Trio in F# Major, Hob. XV:26 first movement, mm. 16-28 (piano part only). "" ' | ¡ »t if " " | Sr " Fr I t (medial caesura plus fill)

Major, op. 50, no. 3; see Sonata Forms, 158-61. 42. Hepokoski and Darcy, "The Medial Caesura," 126-27. This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 60 Theory and Practice Appendix. Haydn, Symphony No. 90: fourth m £ (MT repeated) TRANSITION (expansio This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 6 1 * p n i p n' p n ' p "•" n'n"•" Cj+. ii (HC?) A A+ +. A m A* +. A m fi fi ^ iS it^Jiu +. m Lr i [^¿'Uu + ■^ LT | ¿-T "H-T^i j j „ j -3|,,j- ]/j|;jrj^rriHC (Cil) ^gjF'f i[f ff if'ffji^^inmj ivii07 (G+) (dominant arrivai) ■>-,] '>=r f f |f frp7|r ài t 't c " iE-EtE- 1^,3 Closing Section (codetta) i ¿ i , i r ff r-p-~T-J ^^^^p^JE^Ì^^=ÌEé^; i , i r ff PAC (C+) This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms 66 Theory and Practice 180 . tg 205 f S k k ^^"( 205 This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms Proportion and Function in Sonata Form 67 " ~m ~m ~m ~é 218 __■_- - ■fiiü «* ** * i This content downloaded from 147.251.6.77 on Fri, 11 Aug 2023 22:05:32 +00:00 All use subject to https://about.jstor.org/terms