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==Sonata theory== {{Main article|Sonata theory}} The sonata form is a guide to composers as to the schematic for their works, for interpreters to understand the grammar and meaning of a work, and for listeners to understand the significance of musical events. A host of musical details are determined by the harmonic meaning of a particular note, chord or phrase. The sonata form, because it describes the shape and hierarchy of a movement, tells performers what to emphasize, and how to shape phrases of music. Its theory begins with the description, in the 18th century, of schematics for works, and was codified in the early 19th century. This codified form is still used in the pedagogy of the sonata form. In the 20th century, emphasis moved from the study of themes and keys to how harmony changed through the course of a work and the importance of cadences and transitions in establishing a sense of "closeness" and "distance" in a sonata. The work of [[Heinrich Schenker]] and his ideas about "foreground", "middleground", and "background" became enormously influential in the teaching of composition and interpretation. Schenker believed that inevitability was the key hallmark of a successful composer, and that, therefore, works in sonata form should demonstrate an inevitable logic. In the simplest example, playing of a [[cadence]] should be in relationship to the importance of that cadence in the overall form of the work. More important cadences are emphasized by pauses, dynamics, sustaining and so on. False or deceptive cadences are given some of the characteristics of a real cadence, and then this impression is undercut by going forward more quickly. For this reason, changes in performance practice bring changes to the understanding of the relative importance of various aspects of the sonata form. In the Classical era, the importance of sections and cadences and underlying harmonic progressions gives way to an emphasis on themes. The clarity of strongly differentiated major and minor sections gives way to a more equivocal sense of key and mode. These changes produce changes in performance practice: when sections are clear, then there is less need to emphasize the points of articulation. When they are less clear, greater importance is placed on varying the tempo during the course of the music to give "shape" to the music. Over the last half-century, a critical tradition of examining scores, autographs, annotations, and the historical record has changed, sometimes subtly, on occasion dramatically, the way the sonata form is viewed. It has led to changes in how works are edited; for example, the [[Musical phrasing|phrasing]] of Beethoven's piano works has undergone a shift to longer and longer phrases that are not always in step with the cadences and other formal markers of the sections of the underlying form. Comparing the recordings of [[Artur Schnabel|Schnabel]], from the beginning of modern recording, with those of [[Daniel Barenboim|Barenboim]] and then [[Awadagin Pratt|Pratt]] shows a distinct shift in how the structure of the sonata form is presented to the listener over time. For composers, the sonata form is like the plot of a play or movie script, describing when the crucial plot points are, and the kinds of material that should be used to connect them into a coherent and orderly whole. At different times the sonata form has been taken to be quite rigid, and at other times a freer interpretation has been considered permissible. In the theory of sonata form it is often asserted that other movements stand in relation to the sonata-allegro form, either, per Charles Rosen that they are really "sonata forms", plural—or as [[Edward T. Cone]] asserts, that the sonata-allegro is the ideal to which other movement structures "aspire". This is particularly seen to be the case with other movement forms that commonly occur in works thought of as sonatas. As a sign of this the word "sonata" is sometimes prepended to the name of the form, in particular in the case of the [[sonata rondo form]]. Slow movements, in particular, are seen as being similar to sonata-allegro form, with differences in [[Musical phrasing|phrasing]] and less emphasis on the development. However, [[Arnold Schoenberg|Schoenberg]] and other theorists who used his ideas as a point of departure see the [[Variation (music)|theme and variations]] as having an underlying role in the construction of formal music, calling the process ''continuing variation'', and argue from this idea that the sonata-allegro form is a means of structuring the continuing variation process. Theorists of this school include [[Erwin Ratz]] and William E. Caplin. Subsections of works are sometimes analyzed as being in sonata form, in particular single movement works, such as the ''[[Konzertstück in F minor (Weber)|Konzertstück in F minor]]'' of [[Carl Maria von Weber]]. From the 1950s onward, [[Hans Keller]] developed a 'two-dimensional' method of analysis that explicitly considered form and structure from the point of view of ''listener expectations''. In his work, the sonata-allegro was a well-implied 'background form' against whose various detailed features composers could compose their individual 'foregrounds'; the 'meaningful contradiction' of expected background by unexpected foreground was seen as generating the expressive content. In Keller's writings, this model is applied in detail to Schoenberg's 12-note works as well as the classical tonal repertoire. In recent times, two other musicologists, [[James Hepokoski]] and [[Warren Darcy]], have presented, without reference to Keller, their analysis, which they term [[Sonata Theory]], of the sonata-allegro form and the sonata cycle in terms of genre expectations, and categorized both the sonata-allegro movement and the sonata cycle by the compositional choices made to respect or depart from conventions.<ref>{{Cite book|last=Hepokoski|first=James A.|author-link=James Hepokoski|url=https://www.worldcat.org/oclc/58456978|title=Elements of sonata theory : norms, types, and deformations in the late eighteenth-century sonata|date=2006|publisher=Oxford University Press|others=Darcy, Warren|isbn=0-19-514640-9|location=Oxford|oclc=58456978}}</ref> Their study focuses on the normative period of sonata practice, notable ones being the works of Haydn, Mozart, Beethoven, Schubert, and their close contemporaries, projecting this practice forward to development of the sonata-allegro form into the 19th and 20th centuries.
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