| 词条 | Canon (music) |
| 释义 |
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 (see "Types of canon", below). 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. HistoryDuring 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 imitation now known as canon qualified as fuga ligata, meaning "fettered fugue" ({{harvnb|Bridge|1881|loc=76}}; {{harvnb|Mann, Wilson, and Urquhart|n.d.}}; {{harvnb|Walker|2000|loc=1}}). Only in the 16th century did the word "canon" begin to be used to describe the strict, imitative texture created by such a procedure {{harv|Mann, Wilson, and Urquhart|n.d.}}. The word is derived from the Greek "κανών", Latinised as canon, which means "law" or "norm", and may be related to 8th century Byzantine hymns, or canons, like the Great Canon by St. Andrew of Crete.{{Citation needed|date=April 2014}} In contrapuntal usage, the word refers to the "rule" explaining the number of parts, places of entry, transposition, and so on, according to which one or more additional parts may be derived from a single written melodic line. This rule was usually given verbally, but could also be supplemented by special signs in the score, sometimes themselves called canoni {{harv|Bridge|1881|loc=76}}. The earliest known non-religious canons are English rounds, a form called rondellus, starting in the 14th century {{harv|Mann, Wilson, and Urquhart|n.d.}}; the best known is Sumer Is Icumen In (composed around 1250), called a rota ("wheel") in the manuscript source ({{harvnb|Sanders|2001a}}; {{harvnb|Sanders|2001b}}). Canons featured in the music of the Italian Trecento and the 14th-century ars nova in France. An Italian example is [https://www.youtube.com/watch?v=U76oTIQIgK8 Tosto che l'alba] by Gherardello da Firenze. In both France and Italy, canons were often used to illustrate hunting songs. The Italian word for hunting is "caccia", the Medieval French word "chace" (modern spelling: "chasse"). A well-known French chace is the anonymous [https://www.youtube.com/watch?v=h_Yn9y0BjR8 Se je chant mains]. Richard {{harvtxt|Taruskin|2010|loc=331}} describes Se je chant mains as evoking the atmosphere of a falcon hunt: "The middle section is truly a tour de force, but of a wholly new and off-beat type: a riot of hockets set to 'words' mixing French, bird-language, and hound-language in an onomatopoetical mélange." Guillaume de Machaut also used the 3-voice "chace" form in movements from his masterpiece Le Lai de la Fontaine (1361). Referring to the setting of the fourth stanza of this work, {{harvtxt|Taruskin|2010|loc=334–35}} describes it as, "Harmony in the most literal, etymological sense. Like the Trinity itself, a well-wrought chace can be far more than the sum of its parts; and this particular chace is possibly Machaut's greatest feat of subtilitas." An example of late 14th century canon which featured some of the rhythmic complexity of the late 14th century ars subtilior school of composers is Le Harpe de melodie by Jacob de Senleches. According to Richard {{harvtxt|Hoppin|1978|loc=468}}, "This virelai has two canonic voices over a free and textless tenor." In many pieces in three contrapuntal parts, only two of the voices are in canon, while the remaining voice is a free melodic line. In Dufay's song "Resvelons nous, amoureux", the lower two voices are in canon, but the upper part is what David {{harvtxt|Fallows|1982|loc=89}} describes as a "florid top line": Both J.S. Bach and Handel featured canons in their works. The final variation of Handel's keyboard Chaconne in G major (HWV 442) is a canon in which the player's right hand is imitated at the distance of one beat, creating rhythmic ambiguity within the prevailing triple time: An example of a classical strict canon is the Minuet of Haydn's String Quartet in D Minor, Op. 76, No. 2 {{harv|White|1976|loc=66}}. "Throughout its sinewy length, between upper and lower strings. Here is the superbly logical fulfilment of the two-part octave doubling of Haydn's earliest divertimento minuets" {{harv|Hughes|1966|p=49}}: Beethoven's works feature a number of passages in canon. The following comes from his Symphony No. 4: Antony {{harvtxt|Hopkins|1981|loc=108}} describes the above as "a delightfully naïve canon". More sophisticated and varied in its treatment of intervals and harmonic implications is the canonic passage from the second movement of his Piano Sonata 28 in A major, Op. 101: In the Romantic era, the use of devices such as canon was even more often subtly hidden, as for example in Schumann's piano piece "Vogel als Prophete" (1851). According to Nicholas {{harvtxt|Cook|1990|loc=164}}, "the canon is, as it were, absorbed into the texture of the music—it is there, but one doesn't easily hear it." Peter {{harvtxt|Latham|1948|loc=117}} describes Brahms' Intermezzo in F minor, Op. 118 No. 4 as a piece "rich in canons". In the following passage, the left hand shadows the right at the time distance of one beat and at the pitch interval of an octave lower: Michael {{harvtxt|Musgrave|1985|loc=262}} writes that as a result of the strict canon at the octave, the piece is "of an anxious, suppressed nature, [...] in the central section this tension is temporarily eased through a very contained passage which employs the canon in chordal terms between the hands." According to Denis Matthews, "[what] looks on paper like another purely intellectual exercise... in practice it produces a warmly melodic effect" {{harv|Matthews|1978|loc=68}}. Types of canonConsidering the many types of canon "in the tonal repertoire", it may be ironic that "canon—the strictest type of imitation—has such a wide variety of possibilities" {{harv|Davidian|2015|loc=136}}. The most rigid and ingenious forms of canon are not strictly concerned with pattern but also with content. Canons are classified by various traits including the number of voices, the interval at which each successive voice is transposed in relation to the preceding voice, whether voices are inverse, retrograde, or retrograde-inverse; 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, and the tempo of successive voices. However, canons may use more than one of the above methods. TerminologyAlthough, 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 terms dux and comes for "leader" and "follower", respectively. Number of voicesA 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. SimpleA simple canon (also known as a round) imitates the leader perfectly at the octave or unison. Well-known canons of this type include the famous children's songs Row, Row, Row Your Boat and Frère Jacques. IntervalIf the follower imitates the precise interval quality of the leader, then it is called a strict canon; if the follower imitates the interval number (but not the quality—e.g., a major third may become a minor third), it is called a free canon {{harv|Kennedy|1994}}. Contrapuntal derivationsThe follower is by definition a contrapuntal derivation of the leader. Canon by inversionAn inversion canon (also called an al rovescio canon) has the follower moving in contrary motion to the leader. Where the leader would go down by a particular interval, the follower goes up by that same interval {{harv|Kennedy|1994}}. Retrograde or crab canon{{main|Crab canon}}In a retrograde canon, also known as a canon cancrizans (Latin for crab canon, derived from the Latin cancer = crab), the follower accompanies the leader backward (in retrograde). Alternative names for this type are canon per recte et retro or canon per rectus et inversus {{harv|Kennedy|1994}}. Mensuration and tempo canons{{main|prolation canon}}In a mensuration canon (also known as a prolation canon, 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 involves the application of modulating rhythmic proportions according to a sliding scale.{{Clarify|date=April 2011}} The cancrizans, and often the mensuration canon, take exception to the rule that the follower must start later than the leader; that is, in a typical canon, a follower cannot come before the leader (for then the labels 'leader' and 'follower' should be reversed) or at the same time as the leader (for then two lines together would constantly be in unison, or parallel thirds, etc., and there would be no counterpoint), whereas in a crab canon or mensuration canon the two lines can start at the same time and still respect good counterpoint. Many such canons were composed during the Renaissance, particularly in the late fifteenth and early sixteenth centuries; Johannes Ockeghem 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 20th century, Conlon Nancarrow composed complex tempo or mensural canons, mostly for the player piano as they are extremely difficult to play. Larry Polansky has an album of mensuration canons, Four-Voice Canons. Arvo Pärt has written several mensuration canons, including Cantus in Memoriam Benjamin Britten, Arbos and Festina Lente. Per Nørgård's infinity series has a sloth canon structure {{harv|Mortensen|n.d.}}. This self-similarity of sloth canons makes it "fractal like". Other types of canonThe most familiar of the canons is the perpetual/infinite canon (in Latin: canon perpetuus) or round. As each voice of the canon arrives at its end it can begin again, in a perpetuum mobile fashion; e.g., "Three Blind Mice". Such a canon is also called a round or, in medieval Latin terminology, a rota. Sumer is icumen in is one example of a piece designated rota. Additional types include the spiral canon, accompanied canon,{{Clarify|date=April 2011}} and double or triple canon. A double canon is a canon with two simultaneous themes, a triple canon has three. Double canonA double canon is a composition that unfolds two different canons simultaneously. A duet aria, "Herr, du siehst statt guter Werke" from J. S. Bach’s Cantata BWV9, Es ist das Heil uns kommen her features a double canon "between flute and oboe on the one hand and the soprano and alto voices on the other. But what is most interesting in this movement is that the very attractive melodic surface of the canon belies its dogmatic message by offering a moving simplicity of tone to indicate the comfort that particular doctrine provides for the believer. Canonic devices often bear the association of strictness and the law in Bach’s work" {{harv|Chafe|2000|loc=155}}. Mirror canon{{main|Mirror canon}}{{listen|filename=J S Bach -- Canon per augmentationem contrario motu (dulcimer-piano-harp) (ornam).mid |title=J S Bach: Canon per augmentationem contrario motu |description=(Midi) }} In a mirror canon (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 found in the works of Bach, Mozart (e.g., the trio from Serenade for Wind Octet in C, K. 388), Webern, and other composers. Table canon{{main|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. As both parts are included in each single line, a second line is not needed. Bach wrote a few table canons {{harv|Benjamin|2003|loc=120}}. Rhythmic canonOlivier Messiaen employed a technique which he called "rhythmic canon", a polyphony of independent strands in which the pitch material differs. An example is found in the piano part of the first of the Trois petites liturgies de la présence divine, where the left hand (doubled by strings and maracas), and the right hand (doubled by vibraphone) play the same rhythmic sequence in a 3:2 ratio, but the right hand adapts a sequence of 13 chords in the sixth mode (B-C-D-E-F-F-G-A-B) onto the 18 duration values, while the left hand twice states nine chords in the third mode {{harv|Griffiths|2001}}. Peter Maxwell Davies was another post-tonal composer who favoured rhythmic canons, where the pitch materials are not obliged to correspond {{harv|Scholes, Nagley, and Whittall|n.d.}}. Puzzle canonA puzzle canon, riddle canon, or enigma canon is a canon in which only one voice is notated and the rules for determining the remaining parts and the time intervals of their entrances must be guessed {{harv|Merriam-Webster|n.d.}}. "The enigmatical character of a [puzzle] canon does not consist of any special way of composing it, but only of the method of writing it down, of which a solution is required" {{harv|Richter|1888|loc=38}}. Clues hinting at the solution may be provided by the composer, in which case the term "riddle canon" can be used {{harv|Scholes, Nagley, and Whittall|n.d.}}. J S Bach presented many of his canons in this form, for example in The Musical Offering. Mozart, after solving Father Martini's puzzles {{harv|Zaslaw and Cowdery|1990|loc=98}}, composed his own riddles using Latin epigrams such as "Sit trium series una" and "Ter ternis canite vocibus" ("Let there be one series of three parts" and "sing three times with three voices") {{harv|Karhausen|2011|loc=151}}. Other notable contributors to the genre include Ciconia, Ockeghem, Byrd, Beethoven, Brumel; Busnois, Haydn, Josquin des Prez, Mendelssohn, Pierre de la Rue, Brahms, Schoenberg, Nono and Maxwell Davies ({{harvnb|Carvalho|1999|loc=38–39}}; {{harvnb|Davidian|2015|loc=136}}; {{harvnb|Davies|1971}}; {{harvnb|Davies|1972}}; {{harvnb|Hartmann|1989|loc=passim}}; {{harvnb|Hewett|1957|loc=passim}}; {{harvnb|Johnson|1994|loc=162–63}}; {{harvnb|Jones|2009|loc=152}}; {{harvnb|Leven|1948|loc=361}} {{harvnb|Litterick|2000|loc=388}}; {{harvnb|Mann, Wilson, and Urquhart|n.d.}}; {{harvnb|Morley|1597|loc=173, 176}}; {{harvnb|Perkins|2001}}; {{harvnb|Tatlow|1991|loc=15, 126}}; {{harvnb|Todd|2003|loc=165}}; {{harvnb|van Rij|2006|loc=215}}; {{harvnb|Watkins|1986|loc=239}}). According to Oliver B. Ellsworth, the earliest known enigma canon appears to be an anonymous ballade, En la maison Dedalus, found at the end of a collection of five theory treatises from the third quarter of the fourteenth century collected in the Berkeley Manuscript {{harv|Ciconia|1993|loc=411n12}}. Thomas Morley complained that sometimes a solution, "which being founde (it might bee) was scant worth the hearing" ({{harvnb|Morley|1597|loc=104}}, cited, inter al., by {{harvnb|Barrett|2014|loc=123}}). J. G. Albrechtsberger admits that, "when we have traced the secret, we have gained but little; as the proverb says, 'Parturiunt montes, etc.'" but adds that, "these speculative passages...serve to sharpen acumen" {{harv|Albrechtsberger|1855|loc=234}}. Elaborate use of canon technique{{Unreferenced section|date=August 2015}}
Contemporary canonsIn his early work, such as Piano Phase (1967) and Clapping Music (1972), Steve Reich used a process he calls phasing which is a "continually adjusting" canon with variable distance between the voices, in which melodic and harmonic elements are not important, but rely simply on the time intervals of imitation {{harv|Mann, Wilson, and Urquhart|n.d.}}. See also
References
Further reading
External links
1 : Polyphonic form |
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