Hidden Polyphony, Linear Hierarchy, and Scale-Degree Associations in Galant Schemata Gilad Rabinovitch (bio) This article examines the linear and hierarchical nature of galant schemata (Gjerdingen 2007).1 While Gjerdingen defines the schemata through multiple features sharing family resemblance, core scale degrees in the outer voices emerge as their principal feature. Subsidiary elements such as the High- and High- create a halo of polyphonic-melody projections that may accompany the core scale degrees of the schemata. I examine this subsidiary feature in detail, arguing that the typical mid-century hierarchy between the principal and subsidiary layers may orient us as music analysts as we decipher W. A. Mozart’s high-classical musicianship. My analytical explorations revolve around the opening phrases from Mozart’s aria “Dies Bildnis ist bezaubernd schön” from The Magic Flute and from his keyboard concerto K. 488/ii. I explore the associations that galant schemata create between principal and subsidiary scale degrees, metric position, and the layers of hidden polyphony. While these relations are most stereotyped in mid-century galant music, they may help us to unscramble Mozart’s ornate melodies. In order to explore this hierarchy, I revisit the diminution patterns for an adagio in skeletal notation offered by Quantz and speculate on the implicit knowledge encapsulated in them.2 I also compare the patterns of diminutions on a tritone-resolution (a recurring element in many galant schemata) as it is embellished [End Page 114] in Quantz’s treatise and in Francesco Durante’s Partimenti diminuiti (n.d.). I argue that galant schemata are not as fuzzy as Gjerdingen presents them. Articulating their hierarchy more clearly and charting the associations between principal and subsidiary scale-degree identities, meter, and compound melody is a requisite preliminary step before we can hope to revisit in earnest the needlessly thorny dialogues between schema theory and linear analysis. Introduction In discussing psychological accounts of a story schema, Robert Gjerdingen wonders rhetorically whether the formula “once upon a time,” omitted from a group of three woodcutter’s tales, is an integral part of the “woodcutter” schema. Gjerdingen suggests that familiarity with fairy tales in general affects the perception of the story despite the omission, which leads him to the following statements: First, it suggests that individual exemplars of a schema may not contain all the features that define the schema. Second, it demonstrates that a schema may have defining features that are not overt, in the sense of articulated words or phrases. Third, it indicates that defining features may specify a temporal location or other relational attributes. And fourth, it leads to the conclusion that the notion of levels of structure is an oversimplification. In particular, “Once upon a time” is both subordinate and superordinate to the sentence in which it may appear—subordinate as part of a particular sentence, but superordinate as an important feature of the entire repertory.3 Gjerdingen thus summarizes some of his main claims about schemata: they cannot be reduced to a defining essence or to a list of criteria, and they do not represent structural reduction.4 Human categorization is based on family resemblance involving multiple features, rather than [End Page 115] strict lists of necessary and sufficient conditions. Thus, Gjerdingen’s reliance on fuzzy definitions of categories is cognitively motivated.5 Yet Gjerdingen’s “core” scale degrees are de facto the central feature of the schemata and I will argue below that they are commonly associated with a secondary layer of scale degrees. By focusing on the multiplicity of features, Gjerdingen obscures general melodic behaviors. Gjerdingen eschews grand theoretical or historical explanations in favor of individual microhistories and microtheories of individual schemata, some of which may have different peaks in their prevalence and typicality. For instance, the schema peaks in the 1770s, whereas Vasili Byros’s Le–Sol–Fi–Sol peaks in the 1790s. Gjerdingen estimates that all schemata reach their zenith around 1765.6 My article takes a more macrotheoretical approach, speculating on scale-degree behaviors in eighteenth-century music across the family of galant schemata. As a schema theorist, I do appreciate the minutiae of the microhis-tories and microtheories of Gjerdingen and others.7 To be more precise, I particularly...
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