Counterpoint (Kontrapunkt in the original German) is the second volume of Heinrich Schenker's New Musical Theories and Fantasies (the first is Harmony and the third is Free Composition ). It is divided into two "Books", the first published in 1910, and the second in 1922.
The subject matter of the work is species counterpoint. Book I is concerned with the construction of the cantus firmus and the rules of counterpoint in two voices, also referred to as "strict counterpoint"; Book II treats the cases of three- and four-voice counterpoint. Schenker thus follows the model of Fux in presenting all of the species in turn before adding additional voices.
The principles of strict counterpoint constitute one of the fundamental components of Schenker's musical theory (see Schenkerian analysis). For Schenker, the study of counterpoint is the study of voice leading; in particular, contrapuntal theory is separate from and independent of harmonic theory, which is concerned with scale-steps (see Harmony). In "free composition" (Schenker's term for actual music, as opposed to theoretical exercises), both of these two kinds of phenomena interact, together with the principle of repetition. Schenker thus views the rules of strict counterpoint as basic structures underlying the complex voice-leading patterns of free composition, and not necessarily as models to be literally imitated on the actual musical surface. Throughout Counterpoint, Schenker cites examples from the musical literature to demonstrate the highly varied ways in which the principles of strict counterpoint can be applied in free composition.
As in his other works, Schenker is highly critical in Counterpoint of many of his theoretical predecessors, and of pedagogical methods then (and still) prevalent. In particular, he opposes the idea (promulgated by Riemann and others) that the purpose of contrapuntal studies is to acquire the skill of creating polyphonic textures in works of free composition (e.g. the writing of inventions and fugues). Rather, on Schenker's view, counterpoint (the "pure theory of voice-leading") is entirely distinct from the "theory of composition", just as it is also distinct from the theory of scale-steps, or harmony. It is of interest to note that, although many of Schenker's ideas have had a widespread influence on present-day music theorists, his views on pedagogy and the nature of contrapuntal studies have not prevailed: the word "counterpoint", as used in most universities and conservatories, continues to refer to courses that teach the student to imitate Renaissance or Baroque musical surfaces, and "harmony" courses continue to be concerned with exercises in voice-leading.
Counterpoint, transl. J. Rothgeb and J. Thym, of the original published by Universal, Vienna, 1910 and 1922. Schirmer Books, 1987 ISBN 9780028732206
Counterpoint, republication. Musicalia Press, 2001 ISBN 9780967809908
In music, counterpoint is the relationship between two or more musical lines which are harmonically interdependent yet independent in rhythm and melodic contour. It has been most commonly identified in the European classical tradition, strongly developing during the Renaissance and in much of the common practice period, especially in the Baroque period. The term originates from the Latin punctus contra punctum meaning "point against point", i.e. "note against note".
In music theory, a leading-tone is a note or pitch which resolves or "leads" to a note one semitone higher or lower, being a lower and upper leading-tone, respectively. Typically, the leading tone refers to the seventh scale degree of a major scale, a major seventh above the tonic. In the movable do solfège system, the leading-tone is sung as ti.
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.
In music, form refers to the structure of a musical composition or performance. In his book, Worlds of Music, Jeff Todd Titon suggests that a number of organizational elements may determine the formal structure of a piece of music, such as "the arrangement of musical units of rhythm, melody, and/or harmony that show repetition or variation, the arrangement of the instruments, or the way a symphonic piece is orchestrated", among other factors. It is, "the ways in which a composition is shaped to create a meaningful musical experience for the listener."
Form refers to the largest shape of the composition. Form in music is the result of the interaction of the four structural elements described above [sound, harmony, melody, rhythm]."
In music, portamento is a pitch sliding from one note to another. The term originated from the Italian expression "portamento della voce", denoting from the beginning of the 17th century its use in vocal performances and emulation by members of the violin family and certain wind instruments, and is sometimes used interchangeably with anticipation. It is also applied to one type of glissando on, e.g., slide trombones, as well as to the "glide" function of steel guitars and synthesizers; in the latter it is often used to add a melancholic effect to the overall melody.
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' ."
Percy Goetschius was an American composer, music theorist, and teacher who won international fame in the teaching of composition.
Carl E. Schachter is an American music theorist noted for his expertise in Schenkerian analysis.
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".
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 analysis, the fundamental structure describes the structure of a tonal work as it occurs at the most remote level and in the most abstract form. A basic elaboration of the tonic triad, it consists of the fundamental line accompanied by the bass arpeggiation. Hence the fundamental structure, like the fundamental line itself, takes one of three forms, according to which tonic triad pitch is the primary tone. The example hereby shows a fundamental structure in C major, with the fundamental line descending from scale degree :
The Urlinie offers the unfurling (Auswicklung) of a basic triad, it presents tonality on horizontal paths. The tonal system, too, flows into these as well, a system intended to bring purposeful order into the world of chords through its selection of the harmonic degrees. The mediator between the horizontal formulation of tonality presented by the Urlinie and the vertical formulation presented by the harmonic degrees is voice leading.
The upper voice of a fundamental structure, which is the fundamental line, utilizes the descending direction; the lower voice, which is the bass arpeggiation through the fifth, takes the ascending direction. [...] The combination of fundamental line and bass arpeggiation constitutes a unity. [...] Neither the fundamental line nor the bass arpeggiation can stand alone. Only when acting together, when unified in a contrapuntal structure, do they produce art.
In music, voice crossing is the intersection of melodic lines in a composition, leaving a lower voice on a higher pitch than a higher voice. Because this can cause registral confusion and reduce the independence of the voices, it is sometimes avoided in composition and pedagogical exercises.
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.
In Schenkerian analysis, a structural level is a representation of a piece of music at a different level of abstraction, with levels typically including foreground, middleground, and background. According to Schenker musical form is "an energy transformation, as a transformation of the forces that flow from background to foreground through the levels."
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.
Geistliches Lied, Op. 30, by Johannes Brahms is an 1856 work for four-part mixed chorus accompanied by organ or piano. The composition is in the form of a double canon set to text by Paul Flemming. It was written as part of an exchange of contrapuntal exercises between Brahms and Joseph Joachim, and it was eventually published in 1864.