The mirror canon (also called a canon by contrary motion) is a type of canon which involves the leading voice being played alongside its own inversion (i.e. upside-down). The realisation from the 'closed' (unrealised) form can be effected by placing the page in front of a mirror, thus upside down, and beginning with the already progressing first voice.
The Canon a 2 'Quaerendo invenietis' from J. S. Bach's The Musical Offering , BWV 1079, is a fine example of the process. In its original closed form, the alto clef and an upside-down bass clef indicate both the mirror procedure and the appropriate pitches of the voices for the purpose of realisation. [2]
A spectacular example of contrapuntal ingenuity can be found in the double canon that forms the trio section of Mozart's Serenade for Wind Octet in C, K. 388. Here a pair of oboes and a pair of bassoons unfold two mirror canons at the same time. Erik Smith sees this as "a perfect example of Mozart's use of academic means, canon, inverted canon and mirror canon, to a purely musical and emotional end". [3] Smith compares the mirror canons here to "the visual image of two swans reflected in the still water." [3]
Anton Webern made much use of mirror canons in his later works. According to Richard Taruskin, the first movement of Webern's Symphony, Op. 21 (1927–1928) "consists of three elaborately worked out double canons that pit two prime forms against two inversions". The texture of the first movement unfolds through constantly changing orchestration (see Klangfarbenmelodie ), that leads Taruskin to conclude that "Webern was not interested in having his canons perceived by the listener as coherent lines. Instead they are absorbed into a kaleidoscopically fragmented texture that has often been compared to a painterly technique known as pointillism.” [4] [5]
The Classical Period was an era of classical music between roughly 1750 and 1820.
In music, counterpoint is a method of composition in which two or more musical lines are simultaneously played which are harmonically correlated 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 classical music, a fugue is a contrapuntal, polyphonic compositional technique in two or more voices, built on a subject that is introduced at the beginning in imitation, which recurs frequently throughout 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 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. Fugues can also have episodes—parts of the fugue where new material is heard, based on the subject—a stretto, when the fugue's subject "overlaps" itself in different voices, or a recapitulation. A popular compositional technique in the Baroque era, the fugue was fundamental in showing mastery of harmony and tonality as it presented counterpoint.
Isaac Stern was an American violinist.
Johannes Brahms was a German composer, pianist, and conductor of the mid-Romantic period. Born in Hamburg into a Lutheran family, he spent much of his professional life in Vienna. He is sometimes grouped with Johann Sebastian Bach and Ludwig van Beethoven as one of the "Three Bs" of music, a comment originally made by the nineteenth-century conductor Hans von Bülow.
In music, a tone row or note row, also series or set, is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both larger and smaller sets are sometimes found.
A cantata is a vocal composition with an instrumental accompaniment, typically in several movements, often involving a choir.
A crab canon is an arrangement of two musical lines that are complementary and backward. If the two lines were placed next to each other, the lines would form something conceptually similar to a palindrome. The name 'crab' refers to the fact that crabs are known to walk backward. It originally referred to a kind of canon in which one line is played backward. An example is found in J. S. Bach's The Musical Offering, which also contains a table canon, which combines retrogression with inversion by having one player turn the music upside down.
Anton Webern was an Austrian composer and conductor. His music was among the most radical of its milieu in its concision and use of then novel atonal and twelve-tone techniques in an increasingly rigorous manner, somewhat after the Franco-Flemish School of his studies under Guido Adler.
The String Quartet, Op. 28, by Anton Webern is written for the standard string quartet group of two violins, viola and cello. It was the last piece of chamber music that Webern wrote.
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. The initial melody is called the leader, while the imitative melody, which is played in a different voice, is called the follower. 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—familiar singalong versions of "Row, Row, Row Your Boat" and "Frère Jacques" that call for each successive group of voices to begin the same song a bar or two after the previous group began are popular examples.
In Western musical theory, a cadence is the end of a phrase in which the melody or harmony creates a sense of full or partial resolution, especially in music of the 16th century onwards. A harmonic cadence is a progression of two or more chords that concludes a phrase, section, or piece of music. A rhythmic cadence is a characteristic rhythmic pattern that indicates the end of a phrase. A cadence can be labeled "weak" or "strong" depending on the impression of finality it gives. While cadences are usually classified by specific chord or melodic progressions, the use of such progressions does not necessarily constitute a cadence—there must be a sense of closure, as at the end of a phrase. Harmonic rhythm plays an important part in determining where a cadence occurs. The word "cadence" sometimes slightly shifts its meaning depending on the context; for example, it can be used to refer to the last few notes of a particular phrase, or to just the final chord of that phrase, or to types of chord progressions that are suitable for phrase endings in general.
In music, variation is a formal technique where material is repeated in an altered form. The changes may involve melody, rhythm, harmony, counterpoint, timbre, orchestration or any combination of these.
In music, a permutation (order) of a set is any ordering of the elements of that set. A specific arrangement of a set of discrete entities, or parameters, such as pitch, dynamics, or timbre. Different permutations may be related by transformation, through the application of zero or more operations, such as transposition, inversion, retrogradation, circular permutation, or multiplicative operations. These may produce reorderings of the members of the set, or may simply map the set onto itself.
A major is a major scale based on A, with the pitches A, B, C♯, D, E, F♯, and G♯. Its key signature has three sharps. Its relative minor is F-sharp minor and its parallel minor is A minor. The key of A major is the only key where the Neapolitan sixth chord on requires both a flat and a natural accidental.
René Leibowitz was a Polish-born naturalised French composer, conductor, music theorist and teacher. He was historically significant in promoting the music of the Second Viennese School in Paris after the Second World War, and teaching a new generation of serialist composers.
The String Quintet No. 2 in C minor, K. 406/516b, was written by Wolfgang Amadeus Mozart in 1787. Like all of Mozart's string quintets, it is a "viola quintet" in that it is scored for string quartet and an extra viola. Unlike his other string quintets, however, the work was not originally written for strings. Having completed the two string quintets K. 515 and K. 516, Mozart created a third by arranging his Serenade No. 12 for Winds in C minor K. 388/384a, written in 1782 or 1783 as a string quintet. Although by then Mozart was entering each new work into his catalogue of compositions, he did not enter this quintet, perhaps because it was an arrangement rather than a new work.
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.
Anton Webern's Symphony, Op. 21 (1927–1928), noted for its symmetry, abstraction, and Alpine topics, was his first twelve-tone orchestral work.