{"id":4948,"date":"2020-01-08T14:42:15","date_gmt":"2020-01-08T14:42:15","guid":{"rendered":"https:\/\/theory.esm.rochester.edu\/integral\/?page_id=4948"},"modified":"2022-06-27T11:24:37","modified_gmt":"2022-06-27T11:24:37","slug":"adams","status":"publish","type":"page","link":"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/","title":{"rendered":"Musical Texture and Formal Instability in Post-Millennial Popular Music: Two Case Studies"},"content":{"rendered":"\n<script type=\"text\/x-mathjax-config\">\nMathJax.Hub.Config({\n  messageStyle: \"none\"\n});\n<\/script>\n\n\n\n\n\n\n\n<p><strong>Kyle Adams<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Abstract<\/strong><\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>This article has two goals: first, to argue that formal units in recent, EDM-infused popular music are inherently unstable\u2014that the same melodic\/harmonic framework can fulfill different rhetorical functions depending on its timbral underpinnings; and second, to demonstrate the critical role played by texture in defining formal units. After reviewing the standard formal functions in a twenty-first-century pop song, I will present two case studies in formal instability. In the first, &#8220;Cake&#8221; by Flo Rida, the song&#8217;s two sections are made up of virtually identical subsections that nevertheless project different formal functions. In the second, &#8220;Don&#8217;t Leave Me Alone&#8221; by David Guetta, remixes of the song change the formal elements by adding and removing timbral layers.&nbsp; Finally, I argue that the instability presented in these songs is a result of a unique blend of pop music and EDM, and that it forms a crucial part of the listening experience. <\/p><p><\/p><cite><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/33-adams\">View PDF<\/a>  <\/cite><\/blockquote>\n\n\n\n<p><strong>Keywords and phrases: <\/strong> form, verse-chorus unit, popular music, EDM, Flo Rida, David Guetta <\/p>\n\n\n<span id=\"su_tooltip_69d0c5910fa4e_button\" class=\"su-tooltip-button su-tooltip-button-outline-yes\" aria-describedby=\"su_tooltip_69d0c5910fa4e\" data-settings='{\"position\":\"right\",\"behavior\":\"hover\",\"hideDelay\":0}' tabindex=\"0\"><strong><u>Suggested Citation<\/u><\/strong><\/span><span style=\"display:none;z-index:100\" id=\"su_tooltip_69d0c5910fa4e\" class=\"su-tooltip\" role=\"tooltip\"><span class=\"su-tooltip-inner su-tooltip-shadow-yes\" style=\"z-index:100;background:#FFFFFF;color:#454545;font-size:16px;border-radius:5px;text-align:left;max-width:300px;line-height:1.25\"><span class=\"su-tooltip-title\"><\/span><span class=\"su-tooltip-content su-u-trim\">Adams, Kyle. 2019. \u201cMusical Texture and Formal Instability in Post-Millennial Popular Music: Two Case Studies.\u201d <em>Int\u00e9gral<\/em> 33: 33\u201345.<\/span><\/span><span id=\"su_tooltip_69d0c5910fa4e_arrow\" class=\"su-tooltip-arrow\" style=\"z-index:100;background:#FFFFFF\" data-popper-arrow><\/span><\/span>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#666666;font-size:14px\">[F]orm in rock music involves a variety of musical domains . . . It is doubtful that any single parameter is wholly responsible for this feeling; our perception of form is presumably complex and multifaceted, something that inherently resists codification through simple definitions (de Clercq 2017b, 144).  <br><em><br><\/em>[One] approach to analyzing sections is to begin from the perspective of individual functions rather than section identity (Biamonte 2019). <\/p>\n\n\n\n<p class=\"has-drop-cap\">This article is best introduced by the two quotes above. In the first, Trevor de Clercq acknowledges that form in popular music is often less clear than it may seem and implies that the perception of formal units will often depend on which parameters are prioritized by a given listener. In the second, Nicole Biamonte proposes an organic approach to formal analysis, in which formal sections are not given <em>a priori<\/em> status but rather coalesce as a product of the various musical markers with which they are associated.<\/p>\n\n\n<p>Beginning with quotations from other scholars both illustrates the practical way in which this article took shape and lays the groundwork for my approach. This brief essay will build on many ideas that are \u201cin the air,\u201d so to speak, to inform my own thoughts about form in a subset of post-millennial pop music (specifically, EDM [electronic dance music]-infused pop from the past decade).<span id='easy-footnote-1-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-1-4948' title='I will use \u201cpost-millennial popular music\u201d here as a shorthand (and also because the songs considered here are from the twenty-first century), but there are many popular genres I have not considered, and I do not mean to imply that the ideas contained in this article are applicable to &lt;em&gt;all&lt;\/em&gt; popular music produced after the turn of the millennium.'><sup>1<\/sup><\/a><\/span> I have identified a curious feature of this music, in which the large formal units of a song typically contain four discrete sections but express only three musical functions. This creates a situation in which the function of a given section can be unclear, and I will show the ways in which producers exploit this lack of clarity to their musical advantage. The argument that I will put forth here is developed from de Clercq\u2019s and Biamonte\u2019s premises: namely, that formal units do not take on an identity unless a section has sufficient melodic, harmonic, lyrical, and (most critically) textural features to trigger an unambiguous classification. I will argue that the formal functions of a song\u2019s sections are largely dependent on their sonic functions.<span id='easy-footnote-2-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-2-4948' title='By \u201csonic functions,\u201d I mean the musical functions typically associated with certain timbral or textural features, such as the snare-drum acceleration signaling a buildup, or the \u201cdrop\u201d of a four-on-the-floor beat signaling a chorus or dance chorus.'><sup>2<\/sup><\/a><\/span> Furthermore, a given span of music can project different formal functions from one part of a song to another, depending only on changes in texture, and does not require a consistent formal label throughout; that is, it does not have to \u201cbe\u201d any one thing.<\/p>\n<p>Although previous scholarship has foregrounded the crucial role played by melody and harmony in determining form,<span id='easy-footnote-3-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-3-4948' title='See Stephenson 2002, Neal 2007, and Summach 2012.'><sup>3<\/sup><\/a><\/span> one of my main goals in the analyses to follow will be to highlight the equal\u2014if not greater\u2014role played by texture in post-millennial pop. I will present two case studies in which sections of a song exhibit enough inherent instability that subtle textural changes can alter their formal functions, despite the fact that the melody, harmony, and even lyrics may be identical. I use the term \u201cinstability\u201d here rather than \u201cambiguity\u201d because I feel it expresses best the way in which I perceive such formal units. \u201cAmbiguity\u201d is a general term that can refer to a variety of phenomena, including formal sections with unclear boundaries or formal units that combine elements of two or more sections. \u201cInstability\u201d captures well the sense that a formal unit is well-defined as a single section, but nevertheless teeters on the brink between different classifications. Moreover, although it is not the case with the examples in this article, the word \u201cinstability\u201d (unlike \u201cambiguity\u201d) leaves open the possibility that a song section might have more than two possible functions. In the case studies below, the boundaries of formal sections are uncontroversial, but a simple textural modification can tilt the balance in favor of one functional classification over another. Following Biamonte, de Clercq, and others, I will analyze song sections from the \u201cbottom up,\u201d argue that the interaction of multiple parameters can lead to multiple conflicting classifications, and ultimately demonstrate that the increased importance of texture in determining form reflects the influence of EDM on recent pop-music production. In my opinion, the formal instability described here does not represent a problem to be solved by the addition of new classificatory labels or methodological precepts; rather, it is a feature of the music to be celebrated.<\/p>\n\n\n<h2 class=\"wp-block-heading\"><strong>1. The Parts of a Post-Millennial Pop Song<\/strong><\/h2>\n\n\n<p>Many twenty-first-century popular song producers have adopted a standard formal structure: two rotations of a verse-chorus unit followed by a bridge and a final chorus. The term <em>verse-chorus unit<\/em> (hereafter VCU) was coined by David Temperley (2011) to refer to \u201csome kind of large repeating section . . . [that] normally consists of a verse (with different lyrics on each occurrence) and chorus (with unchanging lyrics)\u201d (par. 1.4). In this article, VCUs will also encompass the prechorus and dance chorus sections, which will be described in more detail below. The instability mentioned in the title of this article refers to the sections within each VCU; therefore, I will be focusing on comparisons between VCUs in a single song or among remixes. I will begin by describing the typical characteristics of the sections of a VCU, illustrating them with a normative case before moving on to the two studies of more atypical cases.<\/p>\n<p>First, a bit of terminological untangling. Throughout this article, I will refer both to \u201csections\u201d and to \u201cformal units.\u201d A section, as used here, denotes a functionally neutral part of a VCU, identifiable primarily by its length\u2014typically four or eight measures\u2014and by its order position.<span id='easy-footnote-4-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-4-4948' title='De Clercq (2012, 39) discusses some of the difficulty in identifying measure lengths (and thus section lengths) in this repertoire, an issue outside the scope of this article. However, he notes, as other scholars do, that sections are typically in multiples of four measures and that section lengths are usually in a 1:1 or 2:1 relationship.'><sup>4<\/sup><\/a><\/span> Thus, in my analytical case studies below, I label sections simply by number. Formal units such as verse and chorus, on the other hand, are tied to a set of specific, though not always identical, lyrical and musical characteristics as described in the following paragraphs. Though the formal units tend to proceed in a predictable order, this article shows that there is not always a one-to-one mapping between sections and their formal functions.<\/p>\n<p>Figure 1 gives the rhetorical and musical characteristics of each formal unit within a VCU. The verse is no doubt the easiest to identify; as Temperley says, the verse has different lyrics on each occurrence, and in many post-millennial popular songs, it is the only formal unit to do so. I have listed its function as \u201cexpository,\u201d since it lays the groundwork for the affective characteristics of both the lyrics and the music. After the verse, I have characterized the function of the prechorus as \u201cintensifying,\u201d following Summach 2011, the most thorough exploration to date of the prechorus. Summach notes that \u201c[t]he prechorus raises the dynamic potential of verse-chorus form by imparting to it [a] teleological drive,\u201d (par. 23). He lists many possible musical features that can create this drive, including \u201c[c]hanges in groove, lyric phrasing, and the length of formal units, as well as dynamic level, register, instrumentation, timbre, harmonic progression, and harmonic rhythm,\u201d (par. 3) and he points out that these devices will vary quite a bit among songs. In the music under consideration here, two intensifiers in particular seem to characterize prechoruses. The first is a heightened vocal register, with the melodic line either rising or moving to a higher center (for example, from $$\\hat5$$ up to $$\\hat1$$, as we will see below).<span id='easy-footnote-5-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-5-4948' title='Summach illustrates this phenomenon in conjunction with Blondie\u2019s \u201cCall Me,\u201d see par. 22.'><sup>5<\/sup><\/a><\/span> The second feature is an increase in activity in the snare drum or equivalent synthesized percussion layer. Typically, this is performed as a diminution, from quarter notes to eighths to sixteenths and so on. Mark Butler notes that this is characteristic of buildup sections in EDM, a point to which I will return later on in this article.<span id='easy-footnote-6-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-6-4948' title='See Butler 2006, 225\u2013226, and the diagram on 312\u2013317.'><sup>6<\/sup><\/a><\/span>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/figure-1-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-1-Adams-Vol-33-.png\" alt=\"Adams, Figure 1\" class=\"wp-image-5333\" width=\"1174\" height=\"563\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-1-Adams-Vol-33-.png 2348w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-1-Adams-Vol-33--300x144.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-1-Adams-Vol-33--768x368.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-1-Adams-Vol-33--1024x491.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption>Figure 1. Rhetorical function and musical characteristics of each section within a VCU. <\/figcaption><\/figure><\/div>\n\n\n<p>The buildup of momentum in the prechorus reaches its fulfillment in the chorus, the function of which I have listed as \u201cculminating.\u201d The chorus is one of the most familiar and recognizable sections of a popular song, and it has been amply described in scholarly and popular literature. Nevertheless, a reminder of its most salient features is worthwhile here: Walter Everett (2009) observes that \u201cthe chorus usually retains the same set of lyrics every time its music appears,\u201d and that it often features a \u201cthicker texture, and perhaps more dramatic harmonies, melodic shape, or rhythms than are characteristic of the verse\u201d (145). Trevor de Clercq (2012) likewise notes that the chorus has a \u201cfocal\u201d quality, pointing out its lyrical repetition, more generalized lyrical content, and its \u201cincrease in instrumental resources and general volume\u201d (40).<span id='easy-footnote-7-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-7-4948' title='De Clercq also points out that the increase in vocal forces in this section may have led to the label \u201cchorus\u201d in the first place. See his discussion on pp. 39\u201342.'><sup>7<\/sup><\/a><\/span> In current popular music, these textural elements are typically supplemented by a bass \u201cdrop\u201d (i.e., entrance of the bass drum) that provides a satisfying resolution to the tension built up in the prechorus. In the rock music that Everett describes, the chorus is usually also characterized by harmonic closure, typically on I. This is often <em>not<\/em> the case in post-millennial pop music, which is frequently built around a series of functionally neutral or functionally ambiguous chord loops. However, the chorus in this repertoire does typically feature <em>melodic<\/em> closure on the tonic; in cases where such closure would conflict with the harmonies in the loop, producers will often mute the harmonic progression in the last line of the chorus.<span id='easy-footnote-8-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-8-4948' title='It is also possible that the muting of the harmonies in these instances is simply a textural device to emphasize the melodic descent and the title of the song. Given recent research into the \u201cmelodic-harmonic divorce\u201d (see Temperley 2007 and Nobile 2015), one might argue that modern producers are not overly concerned about (mis)-alignment between melody and harmony. Regardless of the reason, it is common, in the last lines of post-millennial pop choruses, to remove all layers except the vocals. Such a removal is similar to the \u201cplagal stop cadence\u201d described by Temperley (2011, 4.1\u20134.9), although there is no similar requirement that the harmony preceding the \u201cstop\u201d be IV.'><sup>8<\/sup><\/a><\/span>\n<p>Many songs both within and outside of the repertoire under consideration here have a section following the chorus. Mark Spicer logically calls this the \u201cpostchorus,\u201d describing it as a \u201cbrief, self-contained passage that can be heard as a departure from the chorus and yet does not serve merely as a transition to the next verse.\u201d<span id='easy-footnote-9-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-9-4948' title='Spicer 2011, 9. Although he locates examples as far back as 1970, Spicer\u2019s model example of the postchorus is Lady Gaga\u2019s \u201cBad Romance.\u201d'><sup>9<\/sup><\/a><\/span> Spicer does not elaborate much on the characteristics of the postchorus, but I would highlight the fact that it is self-contained; it is heard as its own unit rather than as a transitional section. Alyssa Barna has identified a specialized type of postchorus (\u201cpost-\u201d only in the sense that it follows the chorus) in music of the last decade or so. This section continues or increases the climactic energy of the chorus and is characterized by a dense musical texture and by fragmentary, digitally processed vocals.<span id='easy-footnote-10-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-10-4948' title='Doll (2011) uses the term \u201cbreakout chorus\u201d to describe a chorus with enough intensifying features that it stands in sharp contrast to the preceding verse, and discusses modulatory techniques as among the hallmarks of breakout choruses. Although modulation does not play a role in the songs discussed in this article, it would be interesting to explore whether the chorus or dance chorus functions as \u201cbreakout chorus\u201d in this music, a judgment I suspect would depend on whether a listener focused on the lyrics or on the music.'><sup>10<\/sup><\/a><\/span> Barna has named this the \u201cdance chorus,\u201d a label she prefers to \u201cpostchorus\u201d because it does not define the section by its relationship to any other part of the song, but rather acknowledges its independence.<span id='easy-footnote-11-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-11-4948' title='Barna (forthcoming). She also notes Asaf Peres\u2019s (2016) suggestion of the label \u201cdance post-chorus\u201d (155), which she dismisses for the same reason. Other prototypical examples of the dance chorus can be found in \u201cStay the Night\u201d by Zedd and Hayley Williams (2013), \u201cLean On\u201d by Major Lazer, DJ Snake, and M\u00d8 (2015), and \u201cIt Ain\u2019t Me\u201d by Kygo and Selena Gomez (2017).'><sup>11<\/sup><\/a><\/span>\n<p>In her initial demonstration of the dance chorus, Barna defined several characteristics, which I will paraphrase here.<span id='easy-footnote-12-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-12-4948' title='Barna\u2019s demonstration of the \u201cdance chorus\u201d was given at the 2018 Music Theory Southeast conference, in a paper titled \u201cThe Dance Chorus in Recent Top-40 Music.\u201d'><sup>12<\/sup><\/a><\/span> Dance choruses are typically harmonically stable, employing the same progression as Chorus 1. They frequently create a sense of intensification through a higher volume, faster tempo, and a half-time pulse layer. They contain fewer lyrics, repeating most prominently the hook and\/or the titular lyric. Finally, they employ memorable synthesized timbres unique to that section.<\/p>\n<p>Barna stresses the fact that, although both the chorus and the dance chorus represent culminating points, they serve different expressive functions: \u201cthe simplified lyrics [of the dance chorus] discourage the audience from singing along; rather, the memorable hook and timbres associated with the dance chorus . . . promote movement and dance from the listener.\u201d In Figure 1, I have characterized the function of the dance chorus as \u201ccelebratory,\u201d in recognition of the fact that it prolongs the energy of the chorus through different musical means; as Peres says, it \u201cmaintain[s] or intensif[ies] the sonic energy\u201d of the prior chorus (2016, 155). But it is worth emphasizing that, in many post-millennial popular songs, each VCU effectively has two climactic sections\u2014a vocal climax (chorus) and an instrumental climax (dance chorus). Note that only three of the formal units have actual lyrics (the vocal snippets of the dance chorus notwithstanding). The vocals intensify during the prechorus and reach their emotional peak during the chorus, completing their expressive trajectory at the end of the third section of the song. The music, on the other hand, builds up over all four sections of the VCU, not reaching its emotional peak until the dance chorus; thus, the vocal and instrumental layers have separate climactic points. The existence of these dual climaxes\u2014a vocal climax and an instrumental climax\u2014and the necessity of a buildup to each one, lie at the heart of the instability to be discussed below.<span id='easy-footnote-13-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-13-4948' title=' I will use the term \u201cvocal\u201d to describe both the actual lyrics and certain aspects of their musical setting.'><sup>13<\/sup><\/a><\/span>\n<p>My approach to understanding this instability is most directly informed by the work of Trevor de Clercq,<span id='easy-footnote-14-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-14-4948' title='See de Clercq 2012, 2017a, and 2017b.'><sup>14<\/sup><\/a><\/span> who has explored several different unusual formal scenarios in rock music; in fact, the case studies presented here are more or less an extension of de Clercq\u2019s work on rock music of the twentieth century into pop music of the twenty-first. De Clercq (2012) describes two nonstandard formal types. The first is the \u201cconversion,\u201d which describes \u201cshifts in our perception of section roles\u201d (122) and refers to the ways in which sections of an organizational scheme like AABA can be mapped onto parts of a song, such as verses and choruses. More relevant here is de Clercq\u2019s other category, the \u201cblend,\u201d which describes \u201cthose situations in which aspects of two (or more) section roles appear to exist within the same span of music\u201d (213). He describes several different ways that blends can occur, including sections in which melody, harmony, and local positioning offer different formal readings for the same section. Crucially, de Clercq notes that \u201ca robust understanding of how we perceive many musical passages necessarily requires us to recognize multiple roles acting at once\u201d (213). Biamonte agrees, noting that \u201csome instances of formal ambiguity result from a transfer of individual functions that are characteristic of one section type to other section types\u201d (2019).<\/p>\n<p>In the paragraphs to follow, I will present three analytical case studies. The first is a normative case, designed to lay out the prototypical formal functions in this repertoire. Then, the two analyses to follow will explore de Clercq\u2019s possibility of multiple implied roles, extending his \u201cblend\u201d concept in two ways: in the first, the blend is not synchronic, but diachronic\u2014a repeated formal section with the same melody, harmony, and lyrics takes on different formal roles in each presentation. In the second analysis, formal sections do not provide enough information for a definitive classification; instability arises because the addition or removal of timbres (and thus textural layers) causes a section to take on different functions among different remixes.<\/p>\n\n\n<h2 class=\"wp-block-heading\"><strong>2. Normative case: \u201cSolo\u201d<\/strong><\/h2>\n\n\n<p>Before exploring formal instability, it is worth examining a normative case. Example 1 gives the lyrics and formal sections for the first VCU of \u201cSolo\u201d (2018) by Clean Bandit, featuring Demi Lovato, a song that very clearly illustrates the functions of the verse, prechorus, chorus, and dance chorus. The left column gives the lyrics as well as the section and unit labels, and the right column lists the characteristics of each one.<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/example-1-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-1-Adams-Vol-33.png\" alt=\"Adams, Example 1\" class=\"wp-image-5310\" width=\"1327\" height=\"928\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-1-Adams-Vol-33.png 2653w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-1-Adams-Vol-33-300x210.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-1-Adams-Vol-33-768x537.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-1-Adams-Vol-33-1024x716.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption> Example 1. Clean Bandit, \u201cSolo,\u201d featuring Demi Lovato, 0:09\u20131:23. <\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-audio aligncenter\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex1_Solo.mp3\"><\/audio><figcaption>Audio Example 1. (click to play audio). <\/figcaption><\/figure>\n\n\n<p>The verse in \u201cSolo\u201d has the expository characteristics that one would expect. The lyrics introduce the protagonist\u2019s emotional state, and the stability of the musical texture allows the lyrics a place of prominence. The vocal line hovers between $$\\hat3$$ and $$\\hat5$$ (D<sup>\u00ad\u00ad<\/sup><sub>4<\/sub> and F$$\\sharp$$<sub>4<\/sub>, in the song\u2019s key of B minor),<span id='easy-footnote-15-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-15-4948' title='Unlike that of many post-millennial pop songs, the key of \u201cSolo\u201d is clear: B minor has the first order position in the song\u2019s loop, and several melodic cues confirm B as the tonic note, including descents to B at the end of the choruses and the song itself, and a melodic rise up to B at the end of the bridge.'><sup>15<\/sup><\/a><\/span> in the middle both of the modal octave and of Lovato\u2019s vocal range. The texture is sparse, consisting primarily of the drum rhythm and the staccato chords of the loop (Bm\u2013AM\u2013F$$\\sharp$$m\u2013GM), with occasional interjections of digitally processed vocals from Clean Bandit. Both the vocal line and the instrumental texture begin to intensify in the prechorus. The vocal line surges upward to $$\\hat1$$ (B<sub>4<\/sub>), with the overall vocal range of the prechorus expanding to a ninth. The range of the overall musical texture similarly expands, with the addition of the bass line B\u2013A\u2013F$$\\sharp$$\u2013G supporting the harmonic template established in the verse\u2019s loop. Finally, in the last line of the prechorus, the producers introduce intensifiers quite common in EDM: a filter sweep (the \u201cwhoosh\u201d sound), and, in the last moments, a rapid snare accelerando, leading into the chorus.<span id='easy-footnote-16-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-16-4948' title='When referring to drums in this article, I will generally use \u201cbass,\u201d \u201csnare,\u201d and \u201chi-hat\u201d to refer to the low, middle, and high layers respectively, although readers should understand that these are represented electronically in the songs under discussion.'><sup>16<\/sup><\/a><\/span>\n<p>The chorus functions both as a point of arrival and as an expressive plateau, while still contrasting texturally with both the verse and prechorus. The musical layers empty out dramatically, leaving only the bass line and a pared-down drum texture of bass and snare with no hi-hat. The lyrics are repetitive, both at the level of the word (\u201ccry, cry, cry\u201d) and the line (the first three lines of the chorus are repeated verbatim). Melodically, too, the chorus is more stable than either of the previous sections: the melody has a period structure, with two parallel phrases closing on $$\\hat3$$ in measure four and $$\\hat1$$ in measure eight, the latter descent coinciding with the arrival on \u201csolo,\u201d the song\u2019s title.<\/p>\n<p>To the extent that one can speak of a \u201cstandard\u201d dance chorus\u2014given that the term is of such recent coinage\u2014the dance chorus in \u201cSolo\u201d is a standard one: it is the most energetic, celebratory section of the song. The musical texture becomes much thicker, adding the synthesized strings (recall Barna\u2019s statement that the dance chorus contains a timbre not previously heard in the song), and the \u201cvocals,\u201d as is typical, are pared down to a single, heavily processed repetition of the song\u2019s title. The producers also substitute DM for F$$\\sharp$$m in the loop, which results in a much more joyous, major-mode quality to the harmony. All of this has the effect of shifting listener focus from the lyrics (of which there are practically none) to the beat, and, as Barna would undoubtedly agree, motivating the listener to dance rather than to sing along.<\/p>\n<p>In \u201cSolo,\u201d the four sections of the VCU are quite clear. The verse is expository and stable, in both lyrical and musical content, and the prechorus builds up tension in both parameters. These are followed by the vocal climax of the chorus and the musical climax of the dance chorus. But there are many other songs for which formal units are not so easy to pin down. For over two decades of scholarship on form in popular music, scholars have acknowledged situations of ambiguity, in which formal sections can be difficult to label, or in which a formal unit can have multiple labels depending on which parameters a given listener finds most salient. Ken Stephenson (2002) states that \u201cin many [cases], changes in one or more areas work against a backdrop of stability in the other areas to create a subtler form. And in yet other cases, lack of alignment in the patterns of change of various areas makes for ambiguity\u201d (122). And although most scholarship on form has focused on rock music, many of the same ideas pertain to twenty-first-century popular music as well (the differences will be discussed in the concluding section of this article). The case studies to follow will demonstrate two scenarios from recent popular music in which a section can take on different formal functions. In the first analysis, we will see sections of the VCU taking on different functions from one rotation to the next within a single song; in the second analysis, we will see the same phenomenon play out among a song and two of its remixes.<\/p>\n\n\n<h2 class=\"wp-block-heading\"><strong>3. Case Study no. 1: \u201cCake\u201d<\/strong><\/h2>\n\n\n<p>Having described the standard formal functions at work, I now turn to the song that originally motivated this inquiry: \u201cCake,\u201d by Flo Rida and 99 Percent (2017).<span id='easy-footnote-17-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-17-4948' title='I say that \u201cCake\u201d originally motivated this inquiry because the song prompted much of Barna\u2019s work on the \u201cdance chorus,\u201d which in turn informed many of the ideas in this article. Flo Rida is the stage name of Tramar Dillard, and 99 Percent is a hip-hop duo consisting of Cameron Schauer and Johnnie Jacob, Jr. \u201cCake\u201d was released on the Atlantic Records dance compilation titled &lt;em&gt;This is a Challenge&lt;\/em&gt;, and production for the song is credited to \u201cFoolish Ways\u201d and Danny Majic.'><sup>17<\/sup><\/a><\/span> The overall structure of \u201cCake\u201d is exactly the typical structure I described above: a brief intro, two rotations of the VCU, a bridge, and a final chorus.<span id='easy-footnote-18-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-18-4948' title='Barna (forthcoming) contains a complete formal diagram of the song. It is worth noting that in \u201cCake,\u201d as in \u201cSolo,\u201d the dance chorus is also the intro to the song. This has the effect of establishing the overall energy level of the song\u2014presumably for dancers in a club setting\u2014before the drop in intensity that begins each VCU. '><sup>18<\/sup><\/a><\/span> But within each VCU, the functions of the individual formal sections seem to change from the first rotation to the second. Example 2 presents the first VCU from \u201cCake,\u201d sung by Flo Rida. I have labeled each section and have provided annotations on the right indicating the musical features of each one.<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/example-2-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-2-Adams-Vol-33.png\" alt=\"Adams, Example 2\" class=\"wp-image-5316\" width=\"1324\" height=\"715\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-2-Adams-Vol-33.png 2650w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-2-Adams-Vol-33-300x162.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-2-Adams-Vol-33-768x414.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-2-Adams-Vol-33-1024x553.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption> Example 2. \u201cCake,\u201d verse-chorus unit 1, 0:10\u20131:04. <\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-audio aligncenter\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex2_Cake_vcu1-1.mp3\"><\/audio><figcaption>Audio Example 2. (click to play audio). <\/figcaption><\/figure>\n\n\n<p>As shown in the example, the first VCU is formally nearly identical to that of \u201cSolo.\u201d The beat of the verse establishes the song\u2019s Axis-F progression, but otherwise largely stays out of the way of the lyrics: other than the rhythmic chords and the finger-snap sounds, there are no percussion layers and no bass line.<span id='easy-footnote-19-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-19-4948' title='\u201cAxis-F\u201d refers to the progression FM\u2013CM\u2013GM\u2013am, one of the three commonly used rotations of this four-chord sequence. Mark Richards (2017) convincingly puts forth the case for avoiding Roman numerals in discussions of this sequence in order to preserve its sense of harmonic ambiguity; further, he suggests labeling the sequence such that the minor chord is always A minor. (The sequence in \u201cCake\u201d is actually GM\u2013DM\u2013AM\u2013bm.) '><sup>19<\/sup><\/a><\/span> The lyrics themselves establish the song\u2019s theme (and, as is common in many contemporary pop songs, the lyrics of the verse are the only ones that change from the first VCU to the second). The prechorus introduces two textural intensifiers, the background vocals and the snare drum in a 3\u20132 clave rhythm. Most significantly, the end of the prechorus contains the expected increase in snare drum activity building up to the chorus (in this case, steady sixteenth notes replacing the rhythm from the previous two lines). The chorus functions both as a vocal climax and as a preliminary musical one. The bass \u201cdrop\u201d creates a strong point of arrival, and the lyrics move into a higher register and employ the type of syntactical repetition characteristic of choruses. Significantly, too, the chorus closes with the title of the song and melodic closure via the descent $$\\hat3$$\u2013$$\\hat2$$\u2013$$\\hat1$$.<span id='easy-footnote-20-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-20-4948' title='I label the melodic descent F$$\\sharp$$\u2013E\u2013D as $$\\hat3$$\u2013$$\\hat2$$\u2013$$\\hat1$$ here because other melodic cues in the song lend it (to my ears) a distinctly major-mode sound. A full discussion of the melodic and tonal implications of the Axis-F progression is beyond the scope of this article, although such an exploration with regards to the Axis-A and Axis-C forms can be found in Richards 2017. In any case, the arguments I put forth with respect to \u201cCake\u201d are the same whether or not readers agree with my tonal classification.'><sup>20<\/sup><\/a><\/span> After the chorus comes a dance chorus, again very similar to that of \u201cSolo\u201d: the title of the song is diced into small pieces, heavily processed, and repeated, while all of the textural layers return in full force, creating a fun, celebratory, and eminently danceable instrumental climax.<\/p>\n<p>However, the stability of the formal units and their alignment with the sectional divisions in the first VCU are problematized by the second one. Even though the two VCUs have identical melodies and harmonies, and virtually identical lyrics, textural changes to the second VCU call into question the formal functions of its sections. Specifically, the textural signifiers of the prechorus in the first VCU (section 2) have now moved into what was previously the chorus; likewise, the main textural signifier of the chorus in the first VCU has now moved into the dance chorus. Example 3 illustrates.<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/example-3-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-3-Adams-Vol-33.png\" alt=\"Adams, Example 3\" class=\"wp-image-5320\" width=\"1314\" height=\"721\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-3-Adams-Vol-33.png 2628w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-3-Adams-Vol-33-300x165.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-3-Adams-Vol-33-768x421.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-3-Adams-Vol-33-1024x562.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption>Example 3. \u201cCake,\u201d verse-chorus unit 2, 1:04\u20132:01. <\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-audio aligncenter\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex3_Cake_vcu2.mp3\"><\/audio><figcaption>Audio Example 3. (click to play audio). <\/figcaption><\/figure>\n\n\n<p>Following directly on the heels of the first VCU, the verse of this section continues with the beat from the dance chorus; only the background vocals are removed in order to allow more space for the lyrics. Thus, some of the energy from VCU1 carries over into VCU2; it begins at an already heightened state. Moreover, there is virtually no textural change between the first and second sections: other than the subtle addition of a hi-hat, section 2 of VCU2 contains none of the intensifiers that were present when Flo Rida sang. Instead, all of these intensifiers are saved for section 3, which now takes on the formal function of a prechorus. The beat is removed completely, briefly ramping down the previously excited state of the verse in preparation for the coming buildup. Against this pared-down beat, the higher vocal register of section 3 now stands out: in the first VCU, the change in pitch focus from A up to D ($$\\hat5$$ to $$\\hat1$$) was unremarkable, since it took place among the many other strong markers of the chorus. But in VCU2, the change in melodic center stands out as a marker of the prechorus, just as it did in \u201cSolo.\u201d Further, line 3 of section 3 begins the stream of sixteenth notes that marked the prechorus buildup in VCU1. Though this section still ends with the melodic descent and song title characteristic of the chorus, that descent now leads much more definitively into section 4, the only true point of arrival in VCU2.<span id='easy-footnote-21-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-21-4948' title=' Interestingly, section 3 (the chorus) of VCU1 returns after the bridge to end the song, retroactively cementing its status as the \u201ctrue\u201d chorus.'><sup>21<\/sup><\/a><\/span>\n<p>Assuming, then, that this VCU proceeds directly from prechorus to dance chorus, what happened to the chorus? There are two possible ways of answering that question. The first is to say that section 4 has, itself, become the chorus, in the same way that section 3 became the prechorus. It is now the sole climactic point of the VCU, it contains all the musical layers, and it has the same celebratory affect that this section had in the first VCU. However, I find this interpretation unsatisfactory in light of the lack of lyrics in the section. To my ears, the fragmented, digitally processed vocals are <em>the<\/em> marker of the dance chorus, and thus I analyze the passage as shown in the example: in VCU2, the \u201creal\u201d chorus has been elided. Whether other analysts agree with my interpretation, or choose the first one, or have an entirely different interpretation is beside the point. My argument is that VCU1 and VCU2 represent a section \u201cblend\u201d taking place across the temporal span of a song\u2014subtle changes in texture from VCU1 to VCU2 have destabilized the formal sections within each VCU, to the point that the formal functions of sections 2, 3, and 4 have changed entirely, despite the fact that almost no other parameters have changed at all. The formal function of each section in the VCU is defined primarily by sonic and textural markers, rather than by harmonic or melodic ones. In other words: same melody, same harmony, same lyrics, but different formal functions.<\/p>\n\n\n<h2 class=\"wp-block-heading\"><strong>4. Case study no. 2: \u201cDon\u2019t Leave Me Alone\u201d<\/strong><\/h2>\n\n\n<p>In \u201cCake,\u201d we saw formal instability played out between two VCUs in a single song. The second case study, \u201cDon\u2019t Leave Me Alone,\u201d by David Guetta featuring Anne-Marie, will show the same sort of instability creating different formal functions among a song and two of its remixes.<span id='easy-footnote-22-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-22-4948' title='\u201cDon\u2019t Leave Me Alone,\u201d was originally produced by David Guetta and released on his 2018 album &lt;em&gt;7.&lt;\/em&gt; Songwriting is credited to Noonie Bao (Jonnali Parmenius), Sarah Aarons, Guetta, and Lotus IV (Linus Wiklund).'><sup>22<\/sup><\/a><\/span> The song has been remixed several times, and the following analyses will compare the original Guetta version to remixes by producers R3HAB and Oliver Heldens.<span id='easy-footnote-23-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-23-4948' title='R3HAB is the stage name of Dutch producer Fadil el Ghoul.'><sup>23<\/sup><\/a><\/span> Once again, we will see that formal units with the same melody, harmony, and lyrics can take on different functions due to textural manipulations by the producer.<\/p>\n<p>The original version of \u201cDon\u2019t Leave Me Alone\u201d is itself formally unstable, because the two internal sections of each VCU do not contain enough melodic, harmonic, rhythmic, or timbral information to lead to a definitive classification. Depending on which features a listener attends to, the four sections of the first VCU can either be interpreted as the four standard functions that we saw earlier in \u201cSolo,\u201d or the chorus can be interpreted as elided, as we saw above in \u201cCake.\u201d See Example 4. As with the previous examples, I have provided the lyrics on the left-hand column, but to the right I have listed the formal units according to these two possible interpretations.<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/example-4-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-4-Adams-Vol-33.png\" alt=\"Adams, Example 3\" class=\"wp-image-5323\" width=\"1363\" height=\"841\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-4-Adams-Vol-33.png 2725w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-4-Adams-Vol-33-300x185.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-4-Adams-Vol-33-768x474.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-4-Adams-Vol-33-1024x632.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption>Example 4. \u201cDon\u2019t Leave Me Alone,\u201d 0:00\u20131:09. <\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-audio aligncenter\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex4_DontLeaveMeAlone_Guetta.mp3\"><\/audio><figcaption>Audio Example 4. (click to play audio). <\/figcaption><\/figure>\n\n\n<p>In both interpretations, sections 1 and 4 are unambiguously the verse and dance chorus. As with our other examples, the verse contains expository lyrics and establishes the harmonic loop of the song (here, GM\u2013am\u2013em | CM\u2013DM\u2013em); in \u201cDon\u2019t Leave Me Alone,\u201d the only timbres in the verse are Anne-Marie\u2019s voice and the arpeggiated, synthesized harmonies. At the other end of the VCU, the primary feature of the dance chorus is the heavily processed and fragmented repetition of \u201calone,\u201d accompanying Anne-Marie\u2019s vocalizations, along with the densest musical texture thus far\u2014drums, bass, and other synthesized musical layers.<\/p>\n<p>The instability arises in the two middle sections. In section 2, the melodic center moves higher, and the beat drop in the first line serves as an intensifier, both of which are at least minimal markers of the prechorus as shown under interpretation A. However, it is also easy to hear this section as a continuation of the verse, as shown under interpretation B. While it does contain melodic intensification, there is no corresponding textural intensification (e.g., addition of other pitched instrumental layers or background vocals), and certainly not the rhythmic intensifiers, like snare-drum acceleration or filter sweep, that are typically associated with the prechorus. Continuing down that column, in section 3, the bass drum is removed from the texture, and the introduction of the piano chords begins to build up intensity. This intensification is bolstered by the addition of more musical layers, including background vocals and the snare-drum buildup that was missing from section 2, both of which lend to section 3 many of the musical characteristics associated with the prechorus. But returning to interpretation A, we see that the vocals of section 3 also have many markers of the chorus: repetitive lyrics, including the title of the song, and melodic closure at the end.<\/p>\n<p>While interpretation A certainly presents a more normative case, I personally find interpretation B better corresponds to my experience of the song, perhaps because I find my ear naturally drawn more to rhythmic intensification than to melodic. However, as I said above in connection with \u201cCake,\u201d one of the main arguments of this article is that one does not have to choose an interpretation; that a section of a song does not have to \u201cbe\u201d a formal unit. In \u201cDon\u2019t Leave Me Alone,\u201d sections 2 and 3 present a situation similar to de Clercq\u2019s \u201cblend\u201d; but here, instead of containing an excess of formal markers that lead to multiple possible classifications, the sections are unstable because they do not contain <em>enough<\/em> formal markers to definitively categorize them. One can either hear section 3 as the main point of arrival, the intensity of which continues into the dance chorus of section 4, or as a forceful buildup into the dance chorus, with the traditional chorus elided. It is possible to enjoy each of these interpretations on subsequent hearings, and I would certainly encourage readers to listen to the audio example both ways. Since the determination of formal units relies on so many interrelated musical, lyrical, and textural features, the sections themselves can be inherently unstable, only categorizable to the extent that a listener chooses to latch on to certain features at the exclusion of others.<\/p>\n<p>A final note about this version of the song: after the bridge, Guetta brings back sections 3 and 4 simultaneously, adding all the textural layers of the dance chorus underneath the vocals of the chorus. Although this does not resolve the instability present in the VCUs, it does have the effect of creating an exhilarating, celebratory final chorus. In so doing, Guetta brings out the intriguing possibility that, not only does a section <em>not <\/em>need to \u201cbe\u201d one thing or another, but that it can carry two functions simultaneously\u2014in this case, chorus and dance chorus.<\/p>\n<p>In \u201cDon\u2019t Leave Me Alone,\u201d the formal instability of Guetta\u2019s version is exploited by the producers of the two remixes to which we will now turn. Example 5 (with Audio Examples 5 and 6) is similar to the previous examples, except that here, the lyrics are in the middle column, while the formal labels and characteristics are on either side of them in the left and right columns. In each remix, the producers magnify some of the qualities that hinted at formal units in the original song, stabilizing the functional categories of each section. The remixes each create a prechorus by loading up either section 2 (R3HAB) or section 3 (Heldens) with enough textural markers to unequivocally point to that section; likewise, both remixes bring the vocal and instrumental climaxes into alignment in either the chorus (section 3, R3HAB) or the dance chorus (section 4, Heldens).<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/example-5-adams-vol-33\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-5-Adams-Vol-33.png\" alt=\"Adams, Example 5\" class=\"wp-image-5327\" width=\"1479\" height=\"850\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-5-Adams-Vol-33.png 2957w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-5-Adams-Vol-33-300x172.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-5-Adams-Vol-33-768x442.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Example-5-Adams-Vol-33-1024x589.png 1024w\" sizes=\"auto, (max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption>Example 5. \u201cDon\u2019t Leave Me Alone,\u201d remixes by R3HAB (0:00\u20131:16) and Oliver Heldens (0:00\u20131:19). <\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-audio aligncenter\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex5_DontLeaveMeAlone_R3HAB.mp3\"><\/audio><figcaption>Audio Example 5. (click to play audio). <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/audio_ex6_DontLeaveMeAlone_Heldens.mp3\"><\/audio><figcaption> <em>Audio Example 6. (click to play audio).<\/em> <\/figcaption><\/figure>\n\n\n<p>In R3HAB\u2019s version, like Guetta\u2019s, the verse begins with only the voice and pitched material, with the <em>staccato<\/em> arpeggiations of the original having been replaced by an airy string timbre, and the subtle addition of the bass line and faint piano-like chords. In section 2, the drum layers are added to this texture one by one; first the snare enters in a backbeat rhythm, which is then joined by the bass drum and finally the hi-hat in the fourth line. The intensification created by the accumulation of these drum sounds is complemented at the end of section 2 by a filter sweep and a synthesized suspended cymbal roll. All of these features, combined with the higher melodic center in the vocal part, lend section 2 the affect of a prechorus\u2014the listener expects a climactic moment to arrive with the next section. And indeed, it does: in section 3, R3HAB complements the vocal arrival on the song\u2019s title with rhythmic, <em>martellato<\/em> piano chords that definitively mark this section as a chorus. Before section 4, R3HAB also inserts what might be thought of as a pre-dance-chorus, a second buildup into the dance chorus containing all the typical markers of a prechorus section. Finally, just as in the original song, the dance chorus is definitively marked as such: the section contains no lyrics, the most definitive and continuous beat drop to this point, and the brash electronic sample that I playfully refer to as the \u201cduck\u201d in example 5.<\/p>\n<p>Oliver Heldens\u2019s remix is quite similar to the second VCU from \u201cCake,\u201d in which the first two sections have very little timbral differentiation, and therefore sound like a single extended section. Heldens\u2019s remix begins at a higher level of intensity than R3HAB\u2019s, with the four-on-the-floor beat and pulsating bass line beginning at the start of the verse. Moving into section 2, there are no timbral changes at all; thus, the higher melodic center by itself is unable to define this section as a prechorus in the absence of any other intensifiers. Heldens saves these intensifiers for section 3, which is repeated in this remix. The section begins with a removal of the bass drum and the initiation of a drawn-out filter sweep that will last for the next eight measures. Heldens also builds up textural density by removing the background vocals from the first iteration and adding them back in for the second. Finally, the snare, which consistently plays its backbeat rhythm through the first rotation of section 3, begins its typical prechorus acceleration in the second rotation. All of these features define section 3, through both of its rotations, as an extended prechorus, leading into the celebratory dance chorus of section 4, marked as usual by the return of the four-on-the-floor beat and the digitally processed vocals. It is interesting to note here that both remixes are about thirty seconds longer than the original song, because both add an extra section before the dance chorus: R3HAB\u2019s remix has a sudden drop in intensity so that the music can build up once again to a climax, and Heldens repeats the prechorus to provide the same musical buildup, this time because the dance chorus functions as the only chorus in the VCU. To summarize, though, the formal instability in \u201cDon\u2019t Leave Me Alone\u201d manifests the same way that it did in \u201cCake\u201d: between the original song and the two remixes, sections with the same melody, same harmony, and same lyrics can be manipulated texturally to take on different formal functions.<span id='easy-footnote-24-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-24-4948' title='It is worth pointing out here that in each of these versions of \u201cDon\u2019t Leave Me Alone,\u201d the second VCU does not differ substantially from the first.'><sup>24<\/sup><\/a><\/span>\n\n\n<h2 class=\"wp-block-heading\"><strong>5. Conclusion: Four Sections, Three Functions<\/strong><\/h2>\n\n\n<p>The instability described in this article is a result of many interrelated factors, but perhaps the most significant of these is the influence of EDM (electronic dance music) on modern pop music. Scholars and listeners alike have noted the impact of EDM on popular music of the twenty-first (and even twentieth) century, as manifested in the increased use of four-on-the-floor beats, the reliance on synthesized timbres, and even the very existence of the \u201cdance chorus.\u201d In his seminal study of EDM, Mark Butler (2006) argues that variations in intensity in an EDM track are most often brought about by textural changes and describes the formal structure that results from these textural changes.<\/p>\n<p>Butler notes that the descriptions producers give for their tracks are \u201cbased . . . primarily on textural changes, which they viewed as directly affecting the intensity or energy level of a track\u201d (221). The two comparative case studies I presented above show the same effect at work in post-millennial pop music; in each one, the formal functions of sections were defined primarily by textural modifications. Sections of each VCU changed function despite having identical melodies, harmonies, and lyrics. More relevant, then, is the formal division of EDM tracks, which I will posit as a fundamental cause of much of the instability I have described above.<\/p>\n<p>Figure 2 gives a frequently reproduced diagram from Butler, in which the author copies a \u201cprototypical form\u201d diagram given to him by the EDM producer Stanley. In the diagram, the two triangles that point to the left represent the intro-buildup sections, the shaded rectangles represent the core, the smaller rectangle represents the breakdown, and the rightmost triangle represents the outro. Barna (forthcoming) maps the intro-buildup sections onto the verses of pop songs, and the core onto the chorus; however, following Peres and Biamonte, I believe a more specific mapping is possible. The intro, which Butler says \u201cnot only begins the piece but also presents its main elements\u201d (223), maps well onto the verse, but the buildup, which \u201cincreases intensity\u2014not only by thickening the texture but also by filling in various rhythmic positions within the measure,\u201d<span id='easy-footnote-25-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-25-4948' title='Butler 2006, 224. Butler is, at first, a little vague on whether the buildup is a separate section, but ultimately he characterizes it as \u201cmore a technique than a distinct section.&amp;#8221; '><sup>25<\/sup><\/a><\/span> is analogous to the prechorus in pop\/rock music. The core, as Barna says, maps well onto the chorus, but as she also notes, a main difference between EDM and modern pop music is the lack of the \u201cbreakdown\u201d section, which Butler says \u201cinvolves a sudden, dramatic drop to a thin texture\u201d (224).<span id='easy-footnote-26-4948' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href='https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/#easy-footnote-bottom-26-4948' title='In the examples I have presented here, the closest to a \u201cbreakdown\u201d would be in R3HAB\u2019s remix of \u201cDon\u2019t Leave Me Alone,\u201d where the producer introduced a sudden drop in intensity between the chorus and dance chorus. '><sup>26<\/sup><\/a><\/span> Instead, post-millennial pop songs typically move directly into the verse of the second VCU.<\/p>\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/figure-2-adams-vol-33\/\"><img decoding=\"async\" src=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-2-Adams-Vol-33.png\" alt=\"Adams, Figure 2\" class=\"wp-image-5329\" width=\"512\" srcset=\"https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-2-Adams-Vol-33.png 2095w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-2-Adams-Vol-33-300x167.png 300w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-2-Adams-Vol-33-768x427.png 768w, https:\/\/theory.esm.rochester.edu\/integral\/wp-content\/uploads\/2020\/01\/Figure-2-Adams-Vol-33-1024x569.png 1024w\" sizes=\"(max-width: 706px) 89vw, (max-width: 767px) 82vw, 740px\" \/><\/a><figcaption>Figure 2. \u201cPrototypical form of an EDM track,\u201d from Butler (2006). <\/figcaption><\/figure><\/div>\n\n\n\n<p>Lacking a \u201cbreakdown\u201d section, then, post-millennial pop songs are left with four distinct sections in each VCU but only three rhetorical functions: intro, buildup, and core, which Peres, in a recent blog post, generalizes to \u201csetup, buildup, and climax\u201d (2018). Nicole Biamonte has already noted this phenomenon; citing Peres, she states that \u201cthe sonic functions [of] setup, buildup, and climax \u2026 normally map onto the verse, prechorus, and chorus sections respectively. However, the recent transference of the intensity peak in some recent songs from the chorus to the postchorus . . . shifts the sonic functions onto the prechorus, chorus, and postchorus\u201d (2019). This inability to create a consistent one-to-one mapping between three sonic functions and four formal sections is at the heart of the formal instability described in this article. The most common solution to this problem, as demonstrated by \u201cSolo,\u201d has been to decouple the vocal and instrumental climaxes, such that the vocal peak occurs during the third section and the instrumental peak during the fourth.<\/p>\n\n\n\n<p>However, in both \u201cCake\u201d and \u201cDon\u2019t Leave Me Alone,\u201d producers addressed the issue in more subtle ways, in particular by modifying which of the two internal sections contained the timbral signifiers of the buildup. In both of the case studies presented here, the unstable sections have been sections 2 and 3, because these are the sections in which EDM-influenced producers must make a choice between either of the two options below:<\/p>\n\n\n<ul>\n<li style=\"list-style-type: none;\">\n<ul id=\"mce_26\" class=\"editor-rich-text__tinymce mce-content-body editor-rich-text__tinymce\" role=\"textbox\" contenteditable=\"true\" aria-label=\"Write list\u2026\" aria-autocomplete=\"list\" aria-multiline=\"true\" data-is-placeholder-visible=\"false\">\n<li>Introduce the buildup in section 2, creating a vocal climax\/core in the third section (chorus), and maintaining or even increasing the instrumental energy by adding textural layers to the dance chorus, or<\/li>\n<li>Delay the buildup until section 3, thus creating a hybrid section whose melody and lyrics point to chorus function but whose instrumental elements point to prechorus function, and making the dance chorus the sole \u201ccore\u201d section.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<p>Thus, for a producer, it is advantageous to introduce a certain element of instability into both of these sections, so that the producer can then vary the song by transforming the formal functions of the sections within each of its VCUs. What I have tried to demonstrate, in the analytical case studies above, is that these sections need not have the same formal function <em>even within a single song<\/em>. In fact, the producer of \u201cCake\u201d and the remix producers for \u201cDon\u2019t Leave Me Alone\u201d seem to have enjoyed exploiting the ability of texture to change formal functions. As I have argued elsewhere in this article, both analysis and listening can only be hindered, not helped, by insisting that a formal section \u201cis\u201d one thing or another, rather than recognizing that textural characteristics may point in multiple directions simultaneously and that the resulting instability is crucial to the listening experience.<br><\/p>\n\n\n\n<p>In this article, I hope to have taken existing models of rock music from the previous century and show how they might be profitably modified to model formal structures in post-millennial pop via an understanding of the timbral and textural techniques of EDM. In these analytical snapshots, I have attempted to show the advantages of accepting, and even celebrating, the lack of formal clarity that often arises in this repertoire, and to draw the reader\u2019s attention to texture as oftentimes the most salient parameter in determining formal structures. I hope that future scholarship will continue to explore this instability, refining our understanding of the way form operates in twenty-first-century popular music.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><em>Kyle Adams is Associate Professor of Music Theory in the Jacobs School of Music at Indiana University. He has published articles on the analysis of hip-hop music and on sixteenth-century music. His work on rap music involves the interaction of words and music in hip-hop, as well as questions of authorship and musical meaning. In sixteenth-century music, his work has focused on the development of tonal structure. His work has appeared in Theoria, Music Theory Online, Music Theory Spectrum, Journal of Music Theory and the Cambridge Companion to Hip-Hop. Prof. Adams has presented his research at the annual meetings of the Society for Music Theory and Music Theory Midwest, and has given invited papers at several institutions in the United States and in Europe. In the 2019\u201320 academic year, Prof. Adams is the faculty director of the interdisciplinary Global Popular Music team, supported both by Indiana University and by a grant from the Mellon Foundation.<\/em><\/p><p><br> <em>Prof. Adams holds a Ph.D. in music theory from the Graduate Center of the City University of New York. His dissertation explored chromatic music from the late sixteenth century through the early eighteenth century. In addition, he holds degrees in piano from the Mannes College of Music. His piano teachers have included Josef Raieff, Vlado Perlemuter, and Harold Brown. Prior to joining the faculty at the Jacobs School, he taught courses in music theory, ear training, and keyboard skills at Mannes, as well as at Queens College and Hunter College.<\/em><\/p><\/blockquote>\n\n\n\n<div style=\"height:70px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<p><!-- \/wp:post-content --><\/p>\n<p><!-- wp:separator --><\/p>\n<p><!-- \/wp:separator --><\/p>\n<p><!-- wp:spacer {\"height\":70} --><\/p>\n<p><!-- \/wp:spacer --><\/p>\n<p><!-- wp:heading --><\/p>\n<h2><strong>References<\/strong><\/h2>\n<p><!-- \/wp:heading --><\/p>\n<p>Barna, Alyssa. Forthcoming. \u201cThe Dance Chorus in Recent Top-40 Music.\u201d<em> SMT-V<\/em>.<\/p>\n<p>Biamonte, Nicole. 2019. \u201cUnpacking Formal Functions in Pop-Rock Music.\u201d Keynote address presented at the 25th Annual Symposium of Research in Music Theory, Indiana University, Bloomington.<\/p>\n<p>Butler, Mark. 2006. <em>Unlocking the Groove: Rhythm, Meter, and Musical Design in Electronic Dance Music.<\/em> Bloomington: Indiana University Press.<\/p>\n<p>de Clercq, Trevor. 2012. \u201cSections and Successions in Successful Songs: A Prototype Approach to Form in Rock Music.\u201d Ph.D. diss., Eastman School of Music, University of Rochester.<\/p>\n<p>\u00ad\u00ad\u00ad\u00ad\u00ad\u2014\u2014\u2014. 2017a. \u201cEmbracing Ambiguity in the Analysis of Form in Pop\/Rock Music, 1982\u20131991.\u201d <em>Music Theory Online<\/em> 23 (3). Accessed 05 September 2019. <br><a href=\"http:\/\/mtosmt.org\/issues\/mto.17.23.3\/mto.17.23.3.de_clercq.html\">http:\/\/mtosmt.org\/issues\/mto.17.23.3\/mto.17.23.3.de_clercq.html<\/a>.&nbsp;<\/p>\n<p>\u2014\u2014\u2014. 2017b. \u201cInteractions between Harmony and Form in a Corpus of Rock Music.\u201d <em>Journal of Music Theory<\/em> 61 (2): 143\u2013168.<\/p>\n<p>Doll, Christopher. 2011. \u201cRockin\u2019 Out: Expressive Modulation in Verse-Chorus Form.\u201d <em>Music Theory Online<\/em> 17 (3). Accessed 27 November 2019. <br><a href=\"http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.doll.html\">http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.doll.html<\/a>.&nbsp;<\/p>\n<p>Everett, Walter. 2009. <em>The Foundations of Rock: From Blue Suede Shoes to Suite: Judy Blue Eyes.<\/em> Oxford University Press.<\/p>\n<p>Neal, Jocelyn. 2007. \u201cNarrative Paradigms, Musical Signifiers, and Form as Function in Country Music.\u201d <em>Music Theory Spectrum <\/em>29 (1): 41\u201372.<\/p>\n<p>Nobile, Drew. 2015. \u201cCounterpoint in Rock Music: Unpacking the \u2018Melodic-Harmonic Divorce.\u201d <em>Music Theory Spectrum<\/em> 37 (2): 189\u2013203.<\/p>\n<p>Peres, Asaf. 2016. \u201cThe Sonic Dimension as Dramatic Driver in 21st-Century Pop Music.\u201d Ph.D. diss., University of Michigan.<\/p>\n<p>\u2014\u2014\u2014. 2018. \u201cSonic Functions: The Producer\u2019s Alternative to Harmonic Functions in Modern Music.\u201d September 21. Accessed 16 September 2019. <br><a href=\"https:\/\/www.top40theory.com\/blog\/sonic-functions-the-alternative-to-harmonic-functions-in-modern-music\">https:\/\/www.top40theory.com\/blog\/sonic-functions-the-alternative-to-harmonic-functions-in-modern-music<\/a>.<\/p>\n<p>Richards, Mark.&nbsp; 2017. \u201cTonal Ambiguity in Popular Music\u2019s Axis Progressions.\u201d <em>Music Theory Online<\/em> 23 (3). Accessed 27 August 2019. <br><a href=\"http:\/\/mtosmt.org\/issues\/mto.17.23.3\/mto.17.23.3.richards.html\">http:\/\/mtosmt.org\/issues\/mto.17.23.3\/mto.17.23.3.richards.html<\/a>.<\/p>\n<p>Spicer, Mark. 2011. \u201c(Per)Form in(g) Rock: A Response.\u201d <em>Music Theory Online <\/em>17 (3). Accessed 28 August 2019. <br><a href=\"http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.spicer.html\">http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.spicer.html<\/a>.<\/p>\n<p>Stephenson, Ken. 2002. <em>What to Listen For in Rock: A Stylistic Analysis.<\/em> New Haven: Yale University Press.<\/p>\n<p>Summach, Jay. 2011. \u201cThe Structure, Function, and Genesis of the Prechorus.\u201d <em>Music Theory Online<\/em> 17 (3). Accessed 28 August 2019. <br><a href=\"http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.summach.html\">http:\/\/www.mtosmt.org\/issues\/mto.11.17.3\/mto.11.17.3.summach.html<\/a>. <em>&nbsp;<\/em><\/p>\n<p>\u2014\u2014\u2014. 2012. \u201cForm in Top-20 Rock Music, 1955\u201389.\u201d Ph.D. diss., Yale University.<\/p>\n<p>Temperley, David. 2007. \u201cThe melodic-harmonic \u2018divorce\u2019 in rock.\u201d <em>Popular Music <\/em>26 (2): 323\u2013342.<\/p>\n<p>\u2014\u2014\u2014. 2011. \u201cThe Cadential IV in Rock.\u201d <em>Music Theory Online <\/em>17 (1). Accessed 27 August 2019. <br><a href=\"http:\/\/www.mtosmt.org\/issues\/mto.11.17.1\/mto.11.17.1.temperley.html\">http:\/\/www.mtosmt.org\/issues\/mto.11.17.1\/mto.11.17.1.temperley.html<\/a>.<\/p>","protected":false},"excerpt":{"rendered":"<p>Kyle Adams Abstract This article has two goals: first, to argue that formal units in recent, EDM-infused popular music are inherently unstable\u2014that the same melodic\/harmonic framework can fulfill different rhetorical functions depending on its timbral underpinnings; and second, to demonstrate the critical role played by texture in defining formal units. After reviewing the standard formal &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/theory.esm.rochester.edu\/integral\/33-2019\/adams\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Musical Texture and Formal Instability in Post-Millennial Popular Music: Two Case Studies&#8221;<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":4702,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_oasis_is_in_workflow":0,"_oasis_original":0,"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-4948","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/pages\/4948","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/comments?post=4948"}],"version-history":[{"count":72,"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/pages\/4948\/revisions"}],"predecessor-version":[{"id":7591,"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/pages\/4948\/revisions\/7591"}],"up":[{"embeddable":true,"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/pages\/4702"}],"wp:attachment":[{"href":"https:\/\/theory.esm.rochester.edu\/integral\/wp-json\/wp\/v2\/media?parent=4948"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}