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, harmony is the concept of combining different sounds together in order to create new, distinct musical ideas. Theories of harmony seek to describe or explain the effects created by distinct pitches or tones coinciding with one another; harmonic objects such as chords, textures and tonalities are identified, defined, and categorized in the development of these theories. Harmony is broadly understood to involve both a "vertical" dimension (frequency-space) and a "horizontal" dimension (time-space), and often overlaps with related musical concepts such as melody, timbre, and form.
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".
Arnold Schoenberg or Schönberg was an Austrian-American composer, music theorist, teacher, writer, and painter. He is widely considered one of the most influential composers of the 20th century. He was associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School. As a Jewish composer, Schoenberg was targeted by the Nazi Party, which labeled his works as degenerate music and forbade them from being published. He emigrated to the United States in 1933, becoming an American citizen in 1941.
A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth is the fourth spanning five semitones. For example, the ascending interval from C to the next F is a perfect fourth, because the note F is the fifth semitone above C, and there are four staff positions between C and F. Diminished and augmented fourths span the same number of staff positions, but consist of a different number of semitones.
In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term limit was introduced by Harry Partch, who used it to give an upper bound on the complexity of harmony; hence the name.
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, the mystic chord or Prometheus chord is a six-note synthetic chord and its associated scale, or pitch collection; which loosely serves as the harmonic and melodic basis for some of the later pieces by Russian composer Alexander Scriabin. Scriabin, however, did not use the chord directly but rather derived material from its transpositions.
The original Tristan chord is heard in the opening phrase of Richard Wagner's opera Tristan und Isolde as part of the leitmotif relating to Tristan. It is made up of the notes F, B, D♯, and G♯:
In music, quartal harmony is the building of harmonic structures built from the intervals of the perfect fourth, the augmented fourth and the diminished fourth. For instance, a three-note quartal chord on C can be built by stacking perfect fourths, C–F–B♭.
Sonata for Microtonal Piano is a sonata for specifically microtonally tuned piano by Ben Johnston written in 1964. When the movements are played in an alternate order the piece is titled Grindlemusic.
In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant. However, a finer consideration shows that the distinction forms a gradation, from the most consonant to the most dissonant. In casual discourse, as German composer and music theorist Paul Hindemith stressed, "The two concepts have never been completely explained, and for a thousand years the definitions have varied". The term sonance has been proposed to encompass or refer indistinctly to the terms consonance and dissonance.
The 43-tone scale is a just intonation scale with 43 pitches in each octave. It is based on an eleven-limit tonality diamond, similar to the seven-limit diamond previously devised by Max Friedrich Meyer and refined by Harry Partch.
Progressive tonality is the music compositional practice whereby a piece of music does not finish in the key in which it began, but instead 'progresses' to an ending in a different key or tonality. In this connection 'different key' means a different tonic, rather than merely a change to a different mode : Gustav Mahler's Second Symphony (1888–94), for example, which moves from a C minor start to an E-flat major conclusion, exhibits 'progressive tonality'—whereas Ludwig van Beethoven's Fifth Symphony (1804–08), which begins in C minor and ends in C major, does not. A work which ends in the key in which it began may be described as exhibiting 'concentric tonality'. The terms 'progressive' and 'concentric' were both introduced into musicology by Dika Newlin in her book Bruckner, Mahler, Schoenberg (1947).
Genesis of a Music is a book first published in 1949 by microtonal composer Harry Partch (1901–1974).
The American Five is a collective name applied by some writers to the modernist American composers Charles Ives (1874–1954), John J. Becker (1886–1961), Wallingford Riegger (1885–1961), Henry Cowell (1897–1965), and Carl Ruggles (1876–1971). They were noted for their modernist and often dissonant compositions which broke away from European compositional styles to create a distinctly American style. The name was coined in imitation of the group of Russian composers called The Five.
Post-tonal music theory is the set of theories put forward to describe music written outside of, or 'after', the tonal system of the common practice period. It revolves around the idea of 'emancipating dissonance', that is, freeing the structure of music from the familiar harmonic patterns that are derived from natural overtones. As music becomes more complex, dissonance becomes indistinguishable from consonance.
Richard Parncutt is an Australian-born academic. He has been professor of systematic musicology at Karl Franzens University Graz in Austria since 1998.
Vier Lieder, Op. 2 (1899) is a song cycle composed by Arnold Schoenberg in his early era of development. Many of Schoenberg's compositions at this point in his career were reminiscent of the Romantic Era and, had heavy influences from Richard Wagner and Johannes Brahms. Additionally, in many of Schoenberg's didactic writings he has made claims of being inspired by Brahms in his early works. To contrast, Vier Lieder, Op. 2 uses a fair amount of dissonance and atonality that Schoenberg is known for.
