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Counterpoint
In music, counterpoint is the relationship between two or more musical lines (or voices) 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 Western pedagogy, counterpoint is taught through a system of species (see below). There are several different forms of counterpoint, including imitative counterpoint and free counterpoint. Imitative counterpoint involves the repetition of a main melodic idea across different vocal parts, with or without variation. Compositions written in free counterpoint often incorporate non-traditional harmonies and chords, chromaticism and dissonance. General principles The term "counterpoint" has ...
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Fugue
In music, a fugue () is a contrapuntal compositional technique in two or more voices, built on a subject (a musical theme) that is introduced at the beginning in imitation (repetition at different pitches) and which recurs frequently in the course of the composition. It is not to be confused with a '' fuguing tune'', which is a style of song popularized by and mostly limited to early American (i.e. shape note or "Sacred Harp") music and West Gallery music. A fugue usually has three main sections: an exposition, a development and a final entry that contains the return of the subject in the fugue's tonic key. Some fugues have a recapitulation. In the Middle Ages, the term was widely used to denote any works in canonic style; by the Renaissance, it had come to denote specifically imitative works. Since the 17th century, the term ''fugue'' has described what is commonly regarded as the most fully developed procedure of imitative counterpoint. Most fugues open with a short m ...
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Fugue
In music, a fugue () is a contrapuntal compositional technique in two or more voices, built on a subject (a musical theme) that is introduced at the beginning in imitation (repetition at different pitches) and which recurs frequently in the course of the composition. It is not to be confused with a '' fuguing tune'', which is a style of song popularized by and mostly limited to early American (i.e. shape note or "Sacred Harp") music and West Gallery music. A fugue usually has three main sections: an exposition, a development and a final entry that contains the return of the subject in the fugue's tonic key. Some fugues have a recapitulation. In the Middle Ages, the term was widely used to denote any works in canonic style; by the Renaissance, it had come to denote specifically imitative works. Since the 17th century, the term ''fugue'' has described what is commonly regarded as the most fully developed procedure of imitative counterpoint. Most fugues open with a short m ...
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Consonance And Dissonance
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''. D ...
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Canon (music)
In music, a canon is a contrapuntal ( counterpoint-based) compositional technique that employs a melody with one or more imitations of the melody played after a given duration (e.g., quarter rest, one measure, etc.). The initial melody is called the leader (or ''dux''), while the imitative melody, which is played in a different voice, is called the follower (or ''comes''). The follower must imitate the leader, either as an exact replication of its rhythms and intervals or some transformation thereof. Repeating canons in which all voices are musically identical are called rounds—" Row, Row, Row Your Boat" and " Frère Jacques" are popular examples. An accompanied canon is a canon accompanied by one or more additional independent parts that do not imitate the melody. History Medieval and Renaissance During the Middle Ages, Renaissance, and Baroque—that is, through the early 18th century—any kind of imitative musical counterpoints were called fugues, with the strict ...
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Harmonically
In music, harmony is the process by which individual sounds are joined together or composed into whole units or compositions. Often, the term harmony refers to simultaneously occurring frequencies, pitches ( tones, notes), or chords. However, harmony is generally understood to involve both vertical harmony (chords) and horizontal harmony (melody). Harmony is a perceptual property of music, and, along with melody, one of the building blocks of Western music. Its perception is based on consonance, a concept whose definition has changed various times throughout Western music. In a physiological approach, consonance is a continuous variable. Consonant pitch relationships are described as sounding more pleasant, euphonious, and beautiful than dissonant relationships which sound unpleasant, discordant, or rough. The study of harmony involves chords and their construction and chord progressions and the principles of connection that govern them. Counterpoint, which refers to the ...
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Guerino Mazzola
Guerino Bruno Mazzola (born 1947) is a Swiss mathematician, musicologist, jazz pianist as well as a writer. Education and career Mazzola obtained his PhD in mathematics at University of Zürich in 1971 under the supervision of Herbert Groß and Bartel Leendert van der Waerden. In 1980, he habilitated in Algebraic Geometry and Representation Theory. In 2000, he was awarded the medal of the Mexican Mathematical Society. In 2003, he habilitated in Computational Science at the University of Zürich. Mazzola was an associate professor at Laval University in 1996 and at Ecole Normale Supérieure in Paris in 2005. Since 2007, he is professor at the School of Music at the University of Minnesota. From 2007 to 2021 he was the president of the Society for Mathematics and Computation in Music. Mazzola is well known for his music theory book ''The Topos of Music''. The result has drawn consent from Alexander Grothendieck (''Das ist wohl schon die Mathematik des neuen Zeitalters.'') and d ...
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Baroque Music
Baroque music ( or ) refers to the period or dominant style of Western classical music composed from about 1600 to 1750. The Baroque style followed the Renaissance period, and was followed in turn by the Classical period after a short transition, the galant style. The Baroque period is divided into three major phases: early, middle, and late. Overlapping in time, they are conventionally dated from 1580 to 1650, from 1630 to 1700, and from 1680 to 1750. Baroque music forms a major portion of the "classical music" canon, and is now widely studied, performed, and listened to. The term "baroque" comes from the Portuguese word ''barroco'', meaning " misshapen pearl". The works of George Frideric Handel and Johann Sebastian Bach are considered the pinnacle of the Baroque period. Other key composers of the Baroque era include Claudio Monteverdi, Domenico Scarlatti, Alessandro Scarlatti, Antonio Vivaldi, Henry Purcell, Georg Philipp Telemann, Jean-Baptiste Lully, Jean-Philippe Rame ...
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The Well-Tempered Clavier
''The Well-Tempered Clavier'', BWV 846–893, consists of two sets of preludes and fugues in all 24 major and minor keys for keyboard by Johann Sebastian Bach. In the composer's time, ''clavier'', meaning keyboard, referred to a variety of instruments, most typically the harpsichord or clavichord, but not excluding the organ. The modern German spelling for the collection is ' (WTK; ). Bach gave the title ' to a book of preludes and fugues in all 24 keys, major and minor, dated 1722, composed "for the profit and use of musical youth desirous of learning, and especially for the pastime of those already skilled in this study". Some 20 years later, Bach compiled a second book of the same kind (24 pairs of preludes and fugues), which became known as ''The Well-Tempered Clavier'', Part Two (in German: ''Zweyter Theil'', modern spelling: ''Zweiter Teil''). Modern editions usually refer to both parts as ''The Well-Tempered Clavier, Book I'' (WTC I) and ''The Well-Tempered Cl ...
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Johann Sebastian Bach
Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the ''Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard works such as the '' Goldberg Variations'' and '' The Well-Tempered Clavier''; organ works such as the '' Schubler Chorales'' and the Toccata and Fugue in D minor; and vocal music such as the '' St Matthew Passion'' and the Mass in B minor. Since the 19th-century Bach revival he has been generally regarded as one of the greatest composers in the history of Western music. The Bach family already counted several composers when Johann Sebastian was born as the last child of a city musician in Eisenach. After being orphaned at the age of 10, he lived for five years with his eldest brother Johann Christoph, after which he continued his musical education in Lüneburg. From 1703 he was back in Thuringia, working as a musician for Prot ...
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Music
Music is generally defined as the The arts, art of arranging sound to create some combination of Musical form, form, harmony, melody, rhythm or otherwise Musical expression, expressive content. Exact definition of music, definitions of music vary considerably around the world, though it is an aspect of all human societies, a cultural universal. While scholars agree that music is defined by a elements of music, few specific elements, there is Elements of music#Selection of elements, no consensus on their precise definitions. The creation of music is commonly divided into musical composition, musical improvisation, and musical performance, though the topic itself extends into #Academic study, academic disciplines, Music journalism, criticism, Philosophy of music, philosophy, and Music psychology, psychology. Music may be performed or improvised using a vast range of musical instrument, instruments, including the human voice. In some musical contexts, a performance or composi ...
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Part (music)
A part (or voice) generally refers to a single strand or melody or harmony of music within a larger ensemble or a polyphonic musical composition. There are several senses in which the word is often used: * the physical copy of printed or written sheet music given to any individual instrument or voice (as opposed to the full score which shows all parts in the same document). A musician's part usually does not contain instructions for the other players in the ensemble, only instructions for that individual. * the music played by any group of musicians who all perform in unison for a given piece; in a symphony orchestra, a dozen or more cello players may all play "the same part" even if they each have their own physical copy of the music. This sense of "part" does not require a written copy of the music; a bass player in a rock band "plays the bass part" even if there is no written version of the song. * any individual melody that can be abstracted as continuous and independent fr ...
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Round (music)
A round (also called a perpetual canon 'canon perpetuus''or infinite canon) is a musical composition, a limited type of canon, in which a minimum of three voices sing exactly the same melody at the unison (and may continue repeating it indefinitely), but with each voice beginning at different times so that different parts of the melody coincide in the different voices, but nevertheless fit harmoniously together. It is one of the easiest forms of part singing, as only one line of melody need be learned by all parts, and is part of a popular musical tradition. They were particularly favoured in glee clubs, which combined amateur singing with regular drinking. The earliest known rounds date from 12th century Europe. One characteristic of rounds is that, "There is no fixed ending," in the sense that they may be repeated as many times as possible, although many do have "fixed" endings, often indicated by a fermata. " Row, Row, Row Your Boat" is a well-known children's round ...
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