Harmony (German: Harmonielehre, or "Theory of Harmony") is a book published in 1906 by Heinrich Schenker. It is the first installment of Schenker's three-volume treatise on music theory entitled New Musical Theories and Fantasies; the others are Counterpoint and Free Composition. Schenker's name did not appear on the original edition of the work – the author was listed simply as "an artist".
Harmony, which was Schenker's first major book-length theoretical writing, is notable for defining the theoretical agenda that Schenker was to carry out over the subsequent three decades. Schenker makes a careful distinction between the theories of harmony (which for Schenker is concerned with relations among scale-steps) and counterpoint (which deals only with voice leading); he argues that other theorists have confusingly mixed these two concepts. He introduces the principle of repetition, which gives rise to the concept of the motive. Schenker also strongly hints about the ways in which large spans of music can be understood as elaborations of simple structures; this idea is perhaps the most characteristic feature of his mature theory. Finally, he discusses the relationship between music and Nature, which would also be a recurring theme throughout his career.
The work also contains the type of polemical writing that was to characterize most of Schenker's output. In Harmony, Schenker expresses his dissatisfaction with the state of music theory and music pedagogy in his time, and, by making frequent references and comparisons to other theorists, argues at length that his own ideas are superior. He would repeat this procedure in his later writings, often adding virulent commentary about the social and political situation of early 20th century Europe.
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In music theory, counterpoint is the relationship of two or more simultaneous musical lines that are harmonically interdependent yet independent in rhythm and melodic contour. The term originates from the Latin punctus contra punctum meaning "point against point", i.e. "note against note". John Rahn describes counterpoint as follows:
It is hard to write a beautiful song. It is harder to write several individually beautiful songs that, when sung simultaneously, sound as a more beautiful polyphonic whole. The internal structures that create each of the voices separately must contribute to the emergent structure of the polyphony, which in turn must reinforce and comment on the structures of the individual voices. The way that is accomplished in detail is ... 'counterpoint'.
Johann Georg Albrechtsberger was an Austrian composer, organist, and music theorist, and one of the teachers of Ludwig van Beethoven. He was also a friend of Haydn and Mozart.
Atonality in its broadest sense is music that lacks a tonal center, or key. Atonality, in this sense, usually describes compositions written from about the early 20th-century to the present day, where a hierarchy of harmonies focusing on a single, central triad is not used, and the notes of the chromatic scale function independently of one another. More narrowly, the term atonality describes music that does not conform to the system of tonal hierarchies that characterized European classical music between the seventeenth and nineteenth centuries. "The repertory of atonal music is characterized by the occurrence of pitches in novel combinations, as well as by the occurrence of familiar pitch combinations in unfamiliar environments".
Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation ; the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built."
Heinrich Schenker was a Galician-born Austrian music theorist whose writings have had a profound influence on subsequent musical analysis. His approach, now termed Schenkerian analysis, was most fully explained in a three-volume series, Neue musikalische Theorien und Phantasien, which included Harmony (1906), Counterpoint, and Free Composition (1935).
Schenkerian analysis is a method of analyzing tonal music based on the theories of Heinrich Schenker (1868–1935). The goal is to demonstrate the organic coherence of the work by showing how the "foreground" relates to an abstracted deep structure, the Ursatz. This primal structure is roughly the same for any tonal work, but a Schenkerian analysis shows how, in each individual case, that structure develops into a unique work at the foreground. A key theoretical concept is "tonal space". The intervals between the notes of the tonic triad in the background form a tonal space that is filled with passing and neighbour tones, producing new triads and new tonal spaces that are open for further elaborations until the "surface" of the work is reached.
Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions, and directionality. In this hierarchy the single pitch or triad with the greatest stability is called the tonic. The root of the tonic triad forms the name given to the key, so in the key of C major the tone C can be both the tonic of the scale and the root of the tonic triad. The tonic can be a different tone in the same scale, when the work is said to be in one of the modes of the scale.
François-Joseph Fétis was a Belgian musicologist, critic, teacher and composer. He was among the most influential music intellectuals in continental Europe. His enormous compilation of biographical data in the Biographie universelle des musiciens remains an important source of information today.
In music, function is a term used to denote the relationship of a chord or a scale degree to a tonal centre. Two main theories of tonal functions exist today:
Karl Wilhelm Julius Hugo Riemann was a German musicologist and composer who was among the founders of modern musicology. The leading European music scholar of his time, he was active and influential as both a music theorist and music historian. Many of his contributions are now termed as Riemannian theory, a variety of related ideas on many aspects of music theory.
Voice leading is the linear progression of individual melodic lines and their interaction with one another to create harmonies, typically in accordance with the principles of common-practice harmony and counterpoint.
Felix Salzer was an Austrian-American music theorist, musicologist and pedagogue. He was one of the principal followers of Heinrich Schenker, and did much to refine and explain Schenkerian analysis after Schenker's death.
In music theory, prolongation is the process in tonal music through which a pitch, interval, or consonant triad is considered to govern spans of music when not physically sounding. It is a central principle in the music-analytic methodology of Schenkerian analysis, conceived by Austrian theorist Heinrich Schenker. The English term usually translates Schenker's Auskomponierung. According to Fred Lerdahl, "The term 'prolongation' [...] usually means 'composing out' ."
In music, consecutive fifths or parallel fifths are progressions in which the interval of a perfect fifth is followed by a different perfect fifth between the same two musical parts : for example, from C to D in one part along with G to A in a higher part. Octave displacement is irrelevant to this aspect of musical grammar; for example, a parallel twelfth is equivalent to a parallel fifth.
Counterpoint is the second volume of Heinrich Schenker's New Musical Theories and Fantasies. It is divided into two "Books", the first published in 1910, and the second in 1922.
Free Composition is a treatise by Heinrich Schenker, and possibly Schenker's best known work. The third volume of New Musical Theories and Fantasies, it was first published posthumously by Universal Edition in Vienna in 1935. A second German edition by Oswald Jonas appeared in Vienna in 1956. The American translation by Ernst Oster was published by Longman, New York and London, in 1979.
In Schenkerian theory, a scale-step is a triad that is perceived as an organizing force for a passage of music. In Harmony, Schenker gives the following example and asserts that
our ear will connect the first tone, G, with the B on the first quarter of measure 1 as the third of G.
Likewise, it will connect that G with the D on the first quarter of measure 2 as its fifth. Our ear will establish this connection instinctively, but nonetheless in accordance with the demands of Nature. In an analogous way, it will link that first G with the C and E of the second half of measure 1 and thus form the concept of another triad. For our ear will miss no opportunity to hear such triads, no matter how far in the background of our consciousness this conception may lie hidden and no matter whether in the plan of the composition it is overshadowed by far more obvious and important relationships.
In music, klang is a term sometimes used to translate the German Klang, a highly polysemic word. Technically, the term denotes any periodic sound, especially as opposed to simple periodic sounds. In the German lay usage, it may mean "sound" or "tone", "musical tone", "note", or "timbre"; a chord of three notes is called a Dreiklang, etc.
This is a glossary of Schenkerian analysis, a method of musical analysis of tonal music based on the theories of Heinrich Schenker (1868–1935). The method is discussed in the concerned article and no attempt is made here to summarize it. Similarly, the entries below whenever possible link to other articles where the concepts are described with more details, and the definitions are kept here to a minimum.
Matthew G. Brown is a British-American music theorist, musicologist, educator, and artistic director. He is Professor of Music Theory at Eastman School of Music.
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