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Sonata Theory understands the rhetorical layout of a sonata as progressing through a set of action spaces and moments of "structural punctuation." [8] These action spaces largely correlate with the "themes" or "groups" of the sonata, though each space is differentiated primarily by the unique generic goal that the music pursues within that particular space.
This commonplace notion of order is described quantitatively by Landau theory. In Landau theory, the development of order in the everyday sense coincides with the change in the value of a mathematical quantity, a so-called order parameter. An example of an order parameter for crystallization is "bond orientational order" describing the ...
According to the Big Bang theory, the Universe was initially very hot with energy distributed uniformly. For a system in which gravity is important, such as the universe, this is a low-entropy state (compared to a high-entropy state of having all matter collapsed into black holes , a state to which the system may eventually evolve).
Sonata form is one of the most influential ideas in the history of Western classical music. Since the establishment of the practice by composers like C.P.E. Bach , Haydn , Mozart , Beethoven , and Schubert and the codification of this practice into teaching and theory , the practice of writing works in sonata form has changed considerably.
Gender, race, and sexuality in music theory. Popular music [219] Suzannah Clark: born 1969 Music theory and natural order from the Renaissance to the early twentieth century (2001) Franz Schubert, history of music theory, medieval music [220] Dmitri Tymoczko: born 1969 A Geometry of Music (2010) Proposed framework for considering tonality [221]
The sonata form (also sonata-allegro form or first movement form) is a musical structure generally consisting of three main sections: an exposition, a development, and a recapitulation. It has been used widely since the middle of the 18th century (the early Classical period ).
In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction [1] used to show that a statement cannot possibly hold for any number, by showing that if the statement were to hold for a number, then the same would be true for a smaller number, leading to an infinite descent and ultimately a contradiction. [2]
The simplest kind of sonata rondo form is a sonata form that repeats the opening material in the tonic at the end of the exposition and recapitulation sections. [A B' A] exp [C"] dev [A B A] recap By adding in these extra appearances of A, the form reads off as AB'AC"ABA , hence the alternation of A with "other" material that characterizes the ...