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Canon (music)



 
 
In music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
, a canon is a contrapuntal
Counterpoint

In music, counterpoint is the relationship between two or more Register that are independent in contour and rhythm, and interdependent in harmony....
 composition that employs a melody
Melody

In music, a melody , also tune, voice, or line, is a linear succession of musical tones which is perceived as a single entity....
 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 (dux), while the imitative melody is called the follower (comes) which is played in a different voice. The follower must be created from the leader by being either an exact replication of the rhythm
Rhythm

Rhythm is the variation of the length and accentuation of a series of sounds or other events....
s and intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 of the leader, or a transformation such as those listed in "Types of canon" (below).






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In music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
, a canon is a contrapuntal
Counterpoint

In music, counterpoint is the relationship between two or more Register that are independent in contour and rhythm, and interdependent in harmony....
 composition that employs a melody
Melody

In music, a melody , also tune, voice, or line, is a linear succession of musical tones which is perceived as a single entity....
 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 (dux), while the imitative melody is called the follower (comes) which is played in a different voice. The follower must be created from the leader by being either an exact replication of the rhythm
Rhythm

Rhythm is the variation of the length and accentuation of a series of sounds or other events....
s and intervals
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 of the leader, or a transformation such as those listed in "Types of canon" (below). Canons where all parts sing identical music and which repeat are called rounds
Round (music)

A round is a musical composition in which two or more voices sing exactly the same melody , 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....
, such as "Row, Row, Row Your Boat
Row, Row, Row Your Boat

"Row, Row, Row Your Boat" is an English language nursery rhyme, and a popular children's song/proverb, often sung as a Round . It can also be an 'action' nursery rhyme where singers sit opposite one another and 'row' forwards and backwards with joined hands....
" and "Frère Jacques
Frère Jacques

"Fr?re Jacques" is a famous French language nursery rhyme melody....
".

Accompanied canon is a canon accompanied by one or more additional independent parts which do not take part in imitating the melody.

History

The Old French canon, which meant 'learned', was taken from the Greek kanon for a rule or law, which eventually came to mean 'an accepted rule' in English, and the term was first used for the rule that describes how the voices relate to each other. Not until the sixteenth century was canon used to describe the musical form
Musical form

The term musical form refers to two related concepts:*the type of composition *the structure of a particular musical piece .There is some overlap between musical form and musical genre....
. The earliest known canons are the round
Round

Round or rounds can mean:* The shape of a circle or sphere* Rounding , the smoothness of a sediment particle* Roundedness, the roundedness of the lips in the pronunciation of a phoneme...
s (or rondellus) in England
England

native_name =|conventional_long_name = England|common_name = England|image_flag = Flag of England.svg|image_coat = England COA.svg|symbol_type = Royal Coat of Arms...
 from the thirteenth century; the best known is Sumer Is Icumen In
Sumer Is Icumen In

"Sumer Is Icumen In" is a traditional English round , and possibly the oldest such example of counterpoint in existence. The title might be translated as "Summer has come in" or "Summer has arrived."...
. In the fourteenth century many canons were written in Italy
Italy

Italy , officially the Italian Republic , is a country located on the Italian Peninsula in Southern Europe and on the two largest islands in the Mediterranean Sea, Sicily and Sardinia....
 under the name caccia, and occasionally French
France

France , officially the French Republic , is a country whose Metropolitan France is located in Western Europe and that also comprises various Overseas departments and territories of France....
 chanson
Chanson

A chanson is in general any Lyrics-driven French song, usually polyphonic and secular. A singer specializing in chansons is known as a "chansonnier"; a collection of chansons, especially from the late Middle Ages and Renaissance, is also known as a chansonnier....
s of that period used canon technique. During the period of the Franco-Flemish School
Franco-Flemish School

In music, the Franco-Flemish School refers, somewhat imprecisely, to the style of polyphony vocal music composition in Europe in the 15th and 16th centuries, and to the composers who wrote it....
 (1430-1550), canon as a contrapuntal art form received its greatest development, while the Roman School
Roman School

In music history, the Roman School was a group of composers of predominantly church music, in Rome, during the 16th and 17th centuries, therefore spanning the late Renaissance music and early Baroque music eras....
 gave it its most complete application. In the later periods the canon played a less important role (as entertainment), with a few notable exceptions like Bach's
Johann Sebastian Bach

Johann Sebastian Bach was a German composer and organ whose sacred and secular works for choir, orchestra, and solo instruments drew together the strands of the Baroque music period and brought it to its ultimate maturity....
 The Musical Offering
The Musical Offering

The Musical Offering , BWV 1079, is a collection of canon s and fugues and other pieces of music by Johann Sebastian Bach, based on a musical theme by Frederick II of Prussia and dedicated to him....
. Arnold Schoenberg
Arnold Schoenberg

Arnold Schoenberg was an Austrian and later American composer, associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School....
 revived the interest in canon with his twelve-tone technique
Twelve-tone technique

Twelve-tone technique is a method of musical musical composition devised by Arnold Schoenberg. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another in a piece of music while preventing the emphasis of any through the use of tone rows....
.

Types of canon

The most rigid and ingenious forms of canon are not strictly concerned with pattern but also with content. Canons are classified by various traits: the number of voices, the interval
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 at which each successive voice is transposed in relation to the preceding voice, whether voices are inverse
Inverse

Inverse or inversion may refer to:* Inverse , a program for solving inverse and optimization problems* Inversion * Inversion , the reversal of the order of a foot's elements...
, retrograde
Permutation (music)

In music, a permutation of a set is a transformation of its prime form by applying zero or more of certain operations, specifically transposition , inversion , and retrograde....
, or retrograde-inverse
Musical terminology

This is a list of musical terms that are likely to be encountered in printed scores, music reviews, and program notes. Most of the terms are Italian language , in accordance with the Italian origins of many European musical conventions....
; the temporal distance between each voice, whether the intervals of the second voice are exactly those of the original or if they are adjusted to fit the diatonic scale
Diatonic scale

In music theory, a diatonic scale is a seven note musical scale comprising five whole steps and two half steps, in which the half steps are maximally separated....
, and the tempo of successive voices. However, canons may use more than one of the above methods.

How voices in a canon are named

Although, for clarity, this article uses leader and follower(s) to denote the leading voice in a canon and those that imitate it, musicological literature also uses the traditional Latin
Latin

Latin is an Italic language, historically spoken in Latium and Ancient Rome. Through the Military history of the Roman Empire, Latin spread throughout the Mediterranean and a large part of Europe....
 terms Dux and Comes for "leader" and "follower", respectively. The terms "Proposta" for the leader, and "Riposta" for the follower, are also common terms.

Number of voices

A canon of two voices may be called a canon in two, similarly a canon of x voices would be called a canon in x. This terminology may be used in combination with a similar terminology for the interval between each voice, different from the terminology in the following paragraph.

Another standard designation is "Canon: Two in One", which means two voices in one canon. "Canon: Four in Two" means four voices with two simultaneous canons. While "Canon: Six in Three" means six voices with three simultaneous canons, and so on.

Simple

A simple canon (also known as a round
Round (music)

A round is a musical composition in which two or more voices sing exactly the same melody , 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....
) imitates the leader perfectly at the octave or unison. Well-known canons of this type include the famous children's song Row, Row, Row Your Boat
Row, Row, Row Your Boat

"Row, Row, Row Your Boat" is an English language nursery rhyme, and a popular children's song/proverb, often sung as a Round . It can also be an 'action' nursery rhyme where singers sit opposite one another and 'row' forwards and backwards with joined hands....
 and Frère Jacques
Frère Jacques

"Fr?re Jacques" is a famous French language nursery rhyme melody....
.

Interval

An interval canon imitates the leader at any interval
Interval (music)

In music theory, the term interval describes the relationship between the pitch of two notes.Intervals may be described as:*vertical if the two notes sound simultaneously...
 other than the octave or unison (e.g. canon at the second, fifth, seventh, etc.). If the follower imitates the precise interval quality of the leader, then it is called an exact canon; if the follower imitates the interval number (but not the quality), it is called a diatonic canon.

Contrapuntal derivations

The follower may be a contrapuntal
Counterpoint

In music, counterpoint is the relationship between two or more Register that are independent in contour and rhythm, and interdependent in harmony....
 derivation of the leader.

Inverse
An inverted canon (also called canon in contrary motion) moves the follower in contrary motion
Contrary motion

In music theory, contrary motion is the general movement of two melody in opposite directions. That is, when one of the lines moves up, the other line moves down....
 to the leader. Where the leader would go down a fifth, the follower goes up, and vice versa. A sub-order of canon in contrary motion, "mirror," maintains the precise quality of each interval.

Retrograde
In a crab canon
Crab canon

A crab canon is an arrangement of two things that are complementary and backward, similar to a palindrome. Originally it is a musical term for a kind of canon in which one line is reversed in time from the other ....
, also known as cancrizans, the follower accompanies the leader backward (in retrograde). A canon that is retrograde and inverse is called a Table Canon
Table Canon

A Table Canon is a retrograde and inverse canon meant to be placed on a table in between two musicians who both read the same line of music in opposite directions....
. A Table Canon
Table Canon

A Table Canon is a retrograde and inverse canon meant to be placed on a table in between two musicians who both read the same line of music in opposite directions....
 would be placed on a table with a musician on either side, both reading the same line of music in opposite directions.

Mensuration and tempo canons

In a mensuration canon (also known as a prolation canon
Prolation canon

In music, a prolation canon or mensuration canon is a type of canon , a musical composition which employs a melody with one or more imitations of the melody in other voices played after a given duration ....
, or a proportional canon), the follower imitates the leader by some rhythmic proportion. The follower may double the rhythmic values of the leader (augmentation or sloth canon) or it may cut the rhythmic proportions in half (diminution canon). Phasing
Phasing

In the compositional technique phasing, popularized by composer Steve Reich, the same part is played on two musical instruments, in steady but not identical tempo....
 involves the application of modulating rhythmic proportions according to a sliding scale. The cancrizans, and often the mensuration canon, take exception to the rule that the follower must start later than the leader.

Technically, mensuration canons are among the most difficult to write. Many such canons were composed during the Renaissance
Renaissance music

Renaissance music is European music written during the Renaissance, approximately 1400 - 1600. Dates of classical music eras, given the lack of abrupt shifts in musical thinking during the 15th century....
, particularly in the late fifteenth and early sixteenth centuries; Johannes Ockeghem
Johannes Ockeghem

Johannes Ockeghem was the most famous composer of the Franco-Flemish School in the last half of the 15th century, and is often considered the most influential composer between Guillaume Dufay and Josquin des Prez....
 wrote an entire mass (the Missa Prolationum) in which each section is a mensuration canon, and all at different speeds and entry intervals. In the twentieth century, Conlon Nancarrow
Conlon Nancarrow

Conlon Nancarrow was a United States-born composer who lived and worked in Mexico for most of his life. He became a Mexican citizen in 1955.Nancarrow is best remembered for the pieces he wrote for the player piano....
 composed complex tempo or mensural canons, mostly for the player piano
Player piano

The player piano is a self-playing piano, containing a pneumatic mechanism that plays on the piano action pre-programmed music via perforated piano rolls....
 as they are extremely difficult to play; they have also influenced many younger composers. Larry Polansky
Larry Polansky

Larry Polansky is a composer, guitarist, mandolinist, and a professor at Dartmouth College. A member of the Frog Peak Music collective, he co-wrote HMSL with Phil Burk and David Rosenboom....
 has an album of mensuration canons, Four-Voice Canons.

Other types of canon

The most familiar of the canons might be the perpetual/infinite canon (in Latin: canon perpetuus) or round
Round

Round or rounds can mean:* The shape of a circle or sphere* Rounding , the smoothness of a sediment particle* Roundedness, the roundedness of the lips in the pronunciation of a phoneme...
. As (each voice of) the canon arrives at its end it can begin again, in a Perpetuum mobile
Perpetuum mobile

Perpetuum mobile , moto perpetuo , mouvement perp?tuel , literally meaning "perpetual motion", means two distinct things:...
 fashion; e.g. "Three Blind Mice". Such a canon is often called a round
Round

Round or rounds can mean:* The shape of a circle or sphere* Rounding , the smoothness of a sediment particle* Roundedness, the roundedness of the lips in the pronunciation of a phoneme...
 or rota
Rota (music)

A rota is a type of vocal round of the 13th and 14th centuries, probably only in England.In the rota, as opposed to the rondellus, the voices entered one at a time, each singing precisely what the previous voice sang, exactly as in the modern round....
. Sumer is icumen in
Sumer Is Icumen In

"Sumer Is Icumen In" is a traditional English round , and possibly the oldest such example of counterpoint in existence. The title might be translated as "Summer has come in" or "Summer has arrived."...
 is one example of a piece designated rota.

Additional types include the spiral canon, accompanied canon, and double or triple canon.

Puzzle canon

A Puzzle canon can be any of the above types, but only one voice is notated, and it is up to the performer to find out which rule applies to the canon. Often some kind of riddle is given as a hint. Machaut's
Guillaume de Machaut

Guillaume de Machaut, sometimes spelled Machault, , was an important Middle Ages France poet and composer. He is one of the earliest composers for whom significant biographical information is available....
 rondeau
Rondeau

Rondeau may mean:*Rondeau , a form of French poetry*Rondo, a musical form from the 18th century to the present, also spelt 'rondeau'*Rondeau , a medieval and early Renaissance musical form distinct from the 18th century rondo...
 Ma fin est mon commencement et mon commencement est ma fin (My end is my beginning and my beginning is my end) is a crab canon with a third voice which is a musical palindrome
Palindrome

A palindrome is a word, phrase, palindromic number or other sequence of units that can be read the same way in either direction . Composing literature in palindromes is an example of constrained writing....
. In the Agnus Dei
Agnus Dei

Agnus Dei is a Latin language term meaning Lamb of God, and was originally used to refer to Jesus Christ in his role of the perfect sacrificial lamb that atonement for the sins of humanity in Christian theology, harkening back to ancient Jewish Temple sacrifices....
 movement of Dufay's
Guillaume Dufay

Guillaume Dufay was a Franco-Flemish school composer of the early Renaissance music. As the central figure in the Burgundian School, he was the most famous and influential composer in Europe in the mid-15th century....
 mass
Mass

In physical science, mass refers to the degree of acceleration a body acquires when subject to a force: bodies with greater mass are accelerated less by the same force....
 L'homme armé is this rule noted: Cancer eat plenis et redeat medius ('Let the crab proceed full and return half'). This means that the cantus firmus
Cantus firmus

In music, a cantus firmus is a pre-existing melody forming the basis of a polyphony composition .The plural of this Latin term is , though one occasionally sees the corrupt form canti firmi....
 must be sung first in full note values (and retrograde, since it is a crab), then in halved values and retrograde (that is, normal motion, since it is a crab).

Mirror canon

In a Mirror Canon
Mirror Canon

In a Mirror Canon , the subsequent voice imitates the initial voice both in inversion and in retrograde. Examples of mirror canons can be traced to as early as 15th century ....
 (or canon by contrary motion), the subsequent voice imitates the initial voice in inversion. They are not very common, though examples of mirror canons can be traced to Bach, Mozart (e.g., the trio from Serenade for Wind Octet in C, K. 388), Webern, and other composers.

Table Canon

A Table Canon
Table Canon

A Table Canon is a retrograde and inverse canon meant to be placed on a table in between two musicians who both read the same line of music in opposite directions....
 is a retrograde
Retrograde

Retrograde may refer to:* Retrograde signaling, in neuroscience* Retrograde, a type of Permutation * Retrograde and direct motion, the movement of an astronomical object...
 and inverse
Inverse

Inverse or inversion may refer to:* Inverse , a program for solving inverse and optimization problems* Inversion * Inversion , the reversal of the order of a foot's elements...
 Canon meant to be placed on a table in between two musicians who both read the same line of music in opposite directions. Seeing that both parts are included in each single line, a second line is not needed. Bach wrote a few table canons. Table canons are novelty musical works and have never had much popularity with the general public.

Elaborate use of canon technique

  • Josquin Desprez, Missa L'homme armé super voces musicales, Agnus Dei 2: One voice write with the words 'ex una voce tres' (three voice parts out of one), a mensuration canon in three voices in different tempos.
  • Josquin Desprez, Missa L'homme armé sexti toni, Agnus Dei 2: two simultaneous canons in the four upper voices, and at the same time a crab canon in the two lower voices.


Contemporary canons

The most popular canons heard today are from the Baroque
Baroque

In the the arts, the Baroque was a Western cultural Epoch , starting roughly at the beginning of the 17th century in Rome, Italy. It was exemplified by drama and grandeur in Baroque sculpture, Baroque painting, literature, Baroque dance, and Baroque music....
 period, such as Johann Pachelbel
Johann Pachelbel

Johann Pachelbel was a German Baroque music composer, organist and teacher, who brought the German organ schools to its peak. He composed a large body of sacred and secular music, and his contributions to the development of the chorale prelude and fugue have earned him a place among the most important composers of the middle Baroque era....
's Canon in D (Pachelbel's Canon), in which a canon between the three upper voices are accompanied by a repeating bass melody or ground
Ground

Ground may refer to:* The surface of the Earth* Soil, a mixture of clay, sand and organic matter present on the surface of the Earth and serving as substrate for plants growth and micro-organisms development...
, or every third variation in Bach's Goldberg Variations
Goldberg Variations

The Goldberg Variations, BWV 988, are a set of an aria and 30 Variation for harpsichord by Johann Sebastian Bach. First published in 1741 as the fourth in a series Bach called Bach compositions printed during the composer's lifetime, "keyboard practice", the work is considered to be one of the most important examples of Variation for...
. The third movement of Gustav Mahler
Gustav Mahler

Gustav Mahler was a Bohemian-born Austrian composer and conducting. He was best known during his own lifetime as one of the leading orchestral and operatic conductors of the day....
's First Symphony
Symphony No. 1 (Mahler)

The Symphony No. 1 in D major is a symphony by Gustav Mahler first composed between 1884 and 1888 . The initial premiere was in Budapest in 1889, where it was presented as a five-movement symphonic poem under the title "Symphonische Dichtung in zwei Teilen" ....
 starts with an accompanied simple canon based on Frère Jacques
Frère Jacques

"Fr?re Jacques" is a famous French language nursery rhyme melody....
, albeit in D Minor. Jean Sibelius
Jean Sibelius

Johan Julius Christian Sibelius was a Finland composer of the later Romantic music whose music played an important role in the formation of the Finnish national identity....
's Sixth Symphony
Symphony No. 6 (Sibelius)

Jean Sibelius's Symphony No. 6, in D minor Opus 104 was completed in 1923. Although the symphony is sometimes described as being "in D minor" the score does not contain a key attribution....
 contains many hidden canons: for instance, a 3-in-1 in the strings in which each part is thickened to a third; a 4-in-2; a canon by diminution
Diminution

Diminution, from Italian diminuimento, is a musical term used to mean different things in the context of interval , scales, chord or note values....
; and a canon with augmentations at two different speeds. What may be George Rochberg
George Rochberg

George Rochberg, was an United States composer of contemporary classical music....
's best known work, his String Quartet No. 6, includes a set of variations on the Pachelbel Canon in D. Henryk Górecki
Henryk Górecki

Henryk Mikolaj G?recki is a composer of contemporary classical music. G?recki studied at the State Higher School of Music in Katowice between 1955?60....
's Third Symphony
Symphony No. 3 (Górecki)

Symphony No. 3, Opus number. 36, also known as the Symphony of Sorrowful Songs , is a symphony in three movement s composed by Henryk G?recki in Katowice, Poland, between October and December 1976....
 begins with an extensive eight voice canon in the strings. Steve Reich
Steve Reich

File:Steve Reich2.jpgStephen Michael Reich is an United States composer who pioneered the style of minimalist music. His innovations include using tape loops to create phasing patterns , and the use of simple, audible processes to explore musical concepts ....
 uses a process he calls phasing
Phasing

In the compositional technique phasing, popularized by composer Steve Reich, the same part is played on two musical instruments, in steady but not identical tempo....
 which is a canon with variable distance between the voices. Gyorgy Ligeti’s Atmosphères
Atmosphères

Atmosph?res is a piece for full orchestra, composed by Gy?rgy Ligeti in 1961. As described by Keith Lockhart before his performance of the work with the Utah Symphony in 2006 : "Any music teacher can tell you of the four main bodies of music: melody, harmony, rhythm and timbre....
 contains a section that is a completely divisi canon for the entire string section, with 55 voices.

Media


Reading

  • Canonic Studies: A New Technique in Composition. Bernhard Ziehn; edited and introduced by Ronald Stevenson. Publisher: New York : Crescendo Pub., 1977. ISBN 0-87597-106-7.
  • Lamla, Michael: Kanonkünste im barocken Italien, insbesondere in Rom, Berlin 2003, ISBN 3-89825-556-5.
  • Katelijne Schiltz and Bonnie J. Blackburne (eds.), Canons and Canonic Techniques, 14th-16th Centuries: Theory, Practice, and Reception History. Proceedings of the International Conference Leuven, 4-5 October 2005, Leuven, 2007.


See also

  • Fugue
    Fugue

    In music, a fugue is a type of counterpoint composition or technique of composition for a fixed number of melody, normally referred to as "voices"....
  • Table Canon
    Table Canon

    A Table Canon is a retrograde and inverse canon meant to be placed on a table in between two musicians who both read the same line of music in opposite directions....
  • Mirror Canon
    Mirror Canon

    In a Mirror Canon , the subsequent voice imitates the initial voice both in inversion and in retrograde. Examples of mirror canons can be traced to as early as 15th century ....


External links