40:
1967:
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1909:
1754:, dated in Vienna on 20 April 1782, Mozart recognizes that he had not written anything in this form, but moved by his wife's interest he composed one piece, which is sent with the letter. He begs her not to let anybody see the fugue and manifests the hope to write five more and then present them to Baron van Swieten. Regarding the piece, he said "I have taken particular care to write
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results in a perfect fourth, which, unlike the perfect fifth, is considered a dissonance, requiring proper preparation and resolution. The countersubject, if sounding at the same time as the answer, is transposed to the pitch of the answer. Each voice then responds with its own subject or answer, and further countersubjects or free counterpoint may be heard.
1037:
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1331:. (In other words, the subject and countersubjects must be capable of being played both above and below all the other themes without creating any unacceptable dissonances.) Each voice takes this pattern and states all the subjects/themes in the same order (and repeats the material when all the themes have been stated, sometimes after a rest).
2196:': the many voicedness of small intervals at small distances in time from one another is a kind of conjuring trick. At the micro level of the individual lines, and there are dozens and dozens of them in this music...there's an astonishing detail and finesse, but the overall macro effect is a huge overwhelming and singular experience.
2439:. This is unlike later forms such as the sonata, which clearly prescribes which keys are explored (typically the tonic and dominant in an ABA form). Then, many modern fugues dispense with traditional tonal harmonic scaffolding altogether, and either use serial (pitch-oriented) rules, or (as the Kyrie/Christe in
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allow us access to the labyrinth through listening in to individual lines… He creates instead a vastly dense texture of voices in his choir and orchestra, a huge stratified slab of terrifying visionary power. Yet this is music that's made with a fine craft and detail of a Swiss clock maker. Ligeti's so-called '
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The exposition usually concludes when all voices have given a statement of the subject or answer. In some fugues, especially those with an odd number of voices, the exposition will end with a redundant entry, or an extra presentation of the theme in a voice which has already entered. Furthermore, the
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in Vienna around 1782. Van
Swieten, during diplomatic service in Berlin, had taken the opportunity to collect as many manuscripts by Bach and Handel as he could, and he invited Mozart to study his collection and encouraged him to transcribe various works for other combinations of instruments. Mozart
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Further entries of the subject, or middle entries, occur throughout the fugue. The development must state the subject or answer at least once in its entirety, and may also be heard in combination with any countersubjects from the exposition, new countersubjects, free counterpoint, or any of these in
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the composer, having completed the initial imitative entrances, take the passage which has served as accompaniment to the theme and make it the basis for new imitative treatment, so that "he will always have material with which to compose without having to stop and reflect". This formulation of the
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upon it, so that it should not be played fast – for if a fugue is not played slowly the ear cannot clearly distinguish the new subject as it is introduced and the effect is missed". Mozart then set to writing fugues on his own, mimicking the
Baroque style. These included a fugue in C minor, K. 426,
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There is usually very little non-structural/thematic material. During the course of a permutation fugue, it is quite uncommon, actually, for every single possible voice-combination (or "permutation") of the themes to be heard. This limitation exists in consequence of sheer proportionality: the more
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middle-voice is stating a second version of the second countersubject, which concludes with the characteristic rhythm of the subject, and is always used together with the first version of the second countersubject. Following this an episode modulates from the tonic to the relative major by means of
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takes the logic of the fugal idea and creates something that's meticulously built on precise contrapuntal principles of imitation and fugality, but he expands them into a different region of musical experience. Ligeti doesn't want us to hear individual entries of the subject or any subject, or to
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It expresses the
Creation of All Things: space, time, stars, planets – and the Countenance (or rather, the Thought) of God behind the flames and the seething – impossible even to speak of it, I have not attempted to describe it ... Instead, I have sheltered behind the form of the Fugue.
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The fugue is the most complex of contrapuntal forms. In Ratz's words, "fugal technique significantly burdens the shaping of musical ideas, and it was given only to the greatest geniuses, such as Bach and
Beethoven, to breathe life into such an unwieldy form and make it the bearer of the highest
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at the octave or fifteenth (two octaves). The distinction is made between the use of free counterpoint and regular countersubjects accompanying the fugue subject/answer, because in order for it to be heard accompanying the subject in more than one instance, the countersubject must be capable of
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and is written according to certain rules. The composer has more freedom once the exposition ends, though a logical key structure is usually followed. Further entries of the subject will occur throughout the fugue, repeating the accompanying material at the same time, and often accompanying key
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of the third beat of the second bar, which harmonizes the opening G of the tonal answer. The later codettas may be considerably longer, and often serve to develop the material heard in the subject/answer and countersubject and possibly introduce ideas heard in the second countersubject or free
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music, invertible contrapuntal lines must be written according to certain rules, because several intervallic combinations, while acceptable in one orientation, are not permissible when inverted. As an example, perfect fifths are contrapuntally acceptable, while the inversion of a perfect fifth
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voices in a fugue, the greater the number of possible permutations. In consequence, composers exercise editorial judgment as to the most musical of permutations and processes leading thereto. One example of permutation fugue can be seen in the eighth and final chorus of J.S. Bach's cantata,
1051:. This passage is bars 6/7, at the end of the codetta before the first entry of the third voice, the bass, in the exposition. The false entry occurs in the alto, and consists of the head of the subject only, marked in red. It anticipates the true entry of the subject, marked in blue, by one
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illustrates the application of most of the characteristics described above. The fugue is for keyboard and in three voices, with regular countersubjects. This excerpt opens at last entry of the exposition: the subject is sounding in the bass, the first countersubject in the treble, while the
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concerto. Stravinsky recognized the compositional techniques of Bach, and in the second movement of his
Symphony of Psalms (1930), he lays out a fugue that is much like that of the Baroque era. It employs a double fugue with two distinct subjects, the first beginning in C and the second in
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At any point in the fugue there may be "false entries" of the subject, which include the start of the subject but are not completed. False entries are often abbreviated to the head of the subject, and anticipate the "true" entry of the subject, heightening the impact of the subject proper.
1397:, which are now thought of as distinct from fugues. Prior to the 16th century, fugue was originally a genre. It was not until the 16th century that fugal technique as it is understood today began to be seen in pieces, both instrumental and vocal. Fugal writing is found in works such as
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is often heard connecting the various statements of the subject and answer, smoothly connecting each and often facilitating the modulation between the tonic and the key of the answer. The codetta, like other parts of the exposition, may be reused throughout the remainder of the fugue.
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has two subjects that are often developed simultaneously. Similarly, a triple fugue has three subjects. There are two kinds of double (triple) fugue: (a) a fugue in which the second (third) subject is (are) presented simultaneously with the subject in the exposition (e.g. as in
1450:
as well. Palestrina's imitative motets differed from fugues in that each phrase of the text had a different subject which was introduced and worked out separately, whereas a fugue continued working with the same subject or subjects throughout the entire length of the piece.
2183:(multiple simultaneous subdivisions of the measure), blurring everything both harmonically and rhythmically so as to create an aural aggregate, thus highlighting the theoretical/aesthetic question of the next section as to whether fugue is a form or a texture. According to
1739:(1780), various litanies, and vespers. Leopold admonished his son openly in 1777 that he not forget to make public demonstration of his abilities in "fugue, canon, and contrapunctus". Later in life, the major impetus to fugal writing for Mozart was the influence of Baron
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are combined. Each voice enters in succession with the subject, each entry alternating between tonic and dominant, and each voice, having stated the initial subject, continues by stating two or more themes (or countersubjects), which must be conceived in correct
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This is related to the idea that restrictions create freedom for the composer, by directing their efforts. He also points out that fugal writing has its roots in improvisation, and was, during the
Renaissance, practiced as an improvisatory art. Writing in 1555,
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and is usually based upon some musical idea heard in the exposition. Each episode has the primary function of transitioning into a new key for the next entry of the subject, and may also provide release from the strictness of form required by the exposition.
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The counter-exposition is a second exposition. However, there are only two entries, and the entries occur in reverse order. The counter-exposition in a fugue is separated from the exposition by an episode and is in the same key as the original exposition.
2012:
begins with a fugal exposition. The exposition ends with a chorale, the melody of which is then used as a second fugal exposition at the beginning of the development. The recapitulation features both fugal subjects concurrently. The finale of Mahler's
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entry of one of the voices may not be heard until considerably later. For example, in J.S. Bach's Fugue in C minor for Organ, BWV 549, the subject entrance in the lowest voice (played by the organ pedals), is not heard until near the end of the fugue.
711:. To enable a natural harmonic progression, the answer may also be altered slightly (usually by changing one or a few notes near the beginning). When the answer is an exact transposition of the subject into the new key, the answer is classified as a
2347:, at the point where Kevin, accidentally left at home by his family, and realizing he is about to be attacked by a pair of bumbling burglars, begins to plan his elaborate defenses. Another fugue occurs at a similar point in the 1992 sequel film,
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are more commonly explored in fugal development, the overall structure of a fugue does not limit its harmonic structure. For example, a fugue may not even explore the dominant, one of the most closely related keys to the tonic. Bach's Fugue in
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1587:) on a single theme that is gradually transformed as the cycle progresses. Bach also wrote smaller single fugues and put fugal sections or movements into many of his more general works. J.S. Bach's influence extended forward through his son
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Twentieth-century composers brought fugue back to its position of prominence, realizing its uses in full instrumental works, its importance in development and introductory sections, and the developmental capabilities of fugal composition.
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across the bar line, from the last quarter note beat of the first bar to the first beat of the second bar in the second system, and the first middle entry. Here, Bach has altered the second countersubject to accommodate the change of
924:), middle entries in keys other than the tonic and dominant tend to be the exception, and non-modulation the norm. One famous example of such non-modulating fugue occurs in Buxtehude's Praeludium (Fugue and Chaconne) in C, BuxWV 137.
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points out that "counterpoint itself, since time out of mind, has been associated in the thinking of musicians with the profound and the serious" and argues that "there seems to be some rational justification for their doing so."
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When the subject begins with a prominent dominant note, or when there is a prominent dominant note very close to the beginning of the subject, a tonal answer is usually necessary. To prevent an undermining of the fugue's
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counterpoint that follows. They may also be present to delay, and therefore heighten the impact of, the reentry of the subject in another voice. Finally, they may be modulatory passages to return the fugue to the tonic.
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who died in 1746. The subject, including an eighth note rest, is seen in the alto voice, starting on beat 1 bar 1 and ending on beat 1 bar 3, which is where the answer would usually be expected to begin. As this is a
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comprises two volumes written in different times of Bach's life, each comprising 24 prelude and fugue pairs, one for each major and minor key. Bach is also known for his organ fugues, which are usually preceded by a
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combination. It is uncommon for the subject to enter alone in a single voice in the middle entries; rather, it is usually heard with at least one of the countersubjects and/or other free contrapuntal accompaniments.
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key. Fugues can also have episodes, which are parts of the fugue where new material often based on the subject is heard; a stretto (plural stretti), when the fugue's subject overlaps itself in different voices, or a
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argues that the formal organization of a fugue involves not only the arrangement of its theme and episodes, but also its harmonic structure. In particular, the exposition and coda tend to emphasize the
1822:, Beethoven attracted notice for his performance of these fugues. There are fugal sections in Beethoven's early piano sonatas, and fugal writing is to be found in the second and fourth movements of the
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of the work's overall key, and is followed by an entry in the dominant of the relative major or minor when the fugue's subject requires a tonal answer. In the fugues of earlier composers (notably
2409:, whereas the episodes usually explore more distant tonalities. Ratz stressed, however, that this is the core, underlying form ("Urform") of the fugue, from which individual fugues may deviate.
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The first answer must occur as soon after the initial statement of the subject as possible; therefore, the first codetta is often absent or very short. In the example shown above of J.S. Bach's
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of all Bartók's works – a fugue that unfolds like a fan to a point of maximum intensity and then closes, returning to the mysterious atmosphere of the opening." The second movement of Bartók's
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is not purely a permutation fugue, as it does have episodes between permutation expositions. Invertible counterpoint is essential to permutation fugues but is not found in simple fugues.
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It is customary in the exposition to alternate entrances of the subject (S) with entrances of the answer (A). However, this order is occasionally varied. For example, the exposition from
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of Handel during his visits to London (1791–1793, 1794–1795). Haydn then studied Handel's techniques and incorporated
Handelian fugal writing into the choruses of his mature oratorios
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During the answer, the voice in which the subject was previously heard accompanies with new material. If this new material is reused in later statements of the subject, it is called a
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quotes
Beethoven's monumental "Große Fuge" for string quartet and employs Arnold Schoenberg's twelve tone technique, all in the context of a jazz infused Broadway show stopper.
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of the subject, although the term is sometimes used synonymously with middle entry and may also describe the exposition of completely new subjects, such as those encountered in
1949:, Op. 24, is a work for solo piano written in 1861. It consists of a set of twenty-five variations and a concluding fugue, all based on a theme from George Frideric Handel's
1242:), and (b) a fugue in which all subjects have their own expositions at some point, and they are not combined until later (see for example, the three-subject Fugue No. 14 in F
1345:
Permutation fugues differ from conventional fugue in that there are no connecting episodes, nor statement of the themes in related keys. So for example, the fugue of Bach's
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is a short fugue that has the same characteristics as a fugue. Often the contrapuntal writing is not strict, and the setting less formal. See for example, variation 24 of
2120:, starting at rehearsal mark 63, is a gigantic fugue in which the 20-bar subject (and tonal answer) consist entirely of semiquavers, played at the speed of quaver = 168.
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whereby one voice responds with the subject/answer before the first voice has completed its entry of the subject/answer, usually increasing the intensity of the music.
745:
2324:
has a composition called "Fugue State", which incorporates a fugue-like section between Theo
Katzman (guitar), Joe Dart (bass), and Woody Goss (Wurlitzer keyboard).
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1434:, was one of the first to distinguish between the two types of imitative counterpoint: fugues and canons (which he called imitations). Originally, this was to aid
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basic rule for fugal improvisation anticipates later sixteenth-century discussions which deal with the improvisational technique at the keyboard more extensively.
1838:
contains a fugue, which was practically unperformed until the late 19th century, due to its tremendous technical difficulty and length. The last movement of his
1631:(op. 20, 1772), of which three have fugal finales. This was a practice that Haydn repeated only once later in his quartet-writing career, with the finale of his
207:. Episodes (if applicable) and entries are usually alternated until the final entry of the subject, at which point the music has returned to the opening key, or
739:, Book 1. The first note of the subject, D (in red), is a prominent dominant note, demanding that the first note of the answer (in blue) sound as the tonic, G.
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1732:
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1720:
1828:(1805). Beethoven incorporated fugues in his sonatas, and reshaped the episode's purpose and compositional technique for later generations of composers.
215:. Because of the composer's prerogative to decide most structural elements, the fugue is closer to a style of composition rather than a structural form.
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Einführung in die
Musikalische Formenlehre: Über Formprinzipien in den Inventionen J. S. Bachs und ihre Bedeutung für die Kompositionstechnik Beethovens
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key. After the statement of the subject, a second voice enters and states the subject with the subject transposed to another key (almost always the
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he completed also contain several fugues (most notably the Kyrie, and the three fugues in the Domine Jesu; he also left behind a sketch for an
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Introduction to Musical Form: On the Principles of Form in J. S. Bach's Inventions and their Import for Beethoven's Compositional Technique
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1905:(1965, p. 149) says " bare description of its formal outline can give but little idea of the extraordinary profundity of this fugue ."
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Further entries of the subject may follow the initial exposition either immediately or separated by episodes. Episodic material is always
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was evidently fascinated by these works and wrote a set of five transcriptions for string quartet, K. 405 (1782), of fugues from Bach's
1525:. Some fugues during the Baroque period were pieces designed to teach contrapuntal technique to students. The most influential text was
2057:(1986, pp. 346–47) regards as "certainly the finest and most characteristic example of Bartók's subtle style... probably the most
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118:(repetition at different pitches), which recurs frequently throughout the course of the composition. It is not to be confused with a
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Joseph Haydn was the leader of fugal composition and technique in the Classical era. Haydn's most famous fugues can be found in his
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When there is no entrance of the subject and answer material, the composer can develop the subject by altering it. This is called a
1982:
908:, although the key structure of fugues varies greatly. In the fugues of J.S. Bach, the first middle entry occurs most often in the
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sounding correctly when played above or below the subject, and must be conceived, therefore, in invertible (double) counterpoint.
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at the Salzburg Cathedral, the young Mozart composed ambitious fugues and contrapuntal passages in Catholic choral works such as
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Fugues (or fughettas/fugatos) have been incorporated into genres outside Western classical music. Several examples exist within
1424:. The fugue arose from the technique of "imitation", where the same musical material was repeated starting on a different note.
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1960:
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Nevertheless, fugues did not take on a truly central role in Beethoven's work until his late period. The finale of Beethoven's
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4424:] (first edition with supplementary volume). Vienna: Österreichischer Bundesverlag für Unterricht, Wissenschaft und Kunst.
878:, stated that the episode of the fugue is generally based on a series of imitations of the subject that have been fragmented.
3845:. Translated by Thomas Irvine (this chapter). Cambridge, Massachusetts: Harvard University Department of Music. p. 236.
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2222:
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2913:, eleventh edition, revised, ed. Catherine Soanes and Angus Stevenson (Oxford and New York: Oxford University Press, 2006).
2506:, eleventh edition, revised, ed. Catherine Soanes and Angus Stevenson (Oxford and New York: Oxford University Press, 2006).
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had periods of their careers in which they in some sense "rediscovered" fugal writing and used it frequently in their work.
1106:, the answer already takes place in the tenor voice, on the third quarter note of the first bar, therefore coming in "early"
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rose to a more prominent position. Nevertheless, composers continued to write and study fugues; they appear in the works of
2117:
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2075:(Czech: Švanda dudák), written in 1926, an opera in two acts (five scenes), with music by Jaromír Weinberger, includes a
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1860:, "With the finale of 110, Beethoven re-conceived the significance of the most traditional elements of fugue writing."
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1554:, for example, taught counterpoint from his own summary of Fux and thought of it as the basis for formal structure.
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The form evolved during the 18th century from several earlier types of contrapuntal compositions, such as imitative
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2279:, the characters Nicely-Nicely, Benny, and Rusty sing simultaneously about hot tips they each have in an upcoming
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that the writing of fugues became central to composition, in part as a demonstration of compositional expertise.
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may also occur by inversion, augmentation and diminution. A fugue in which the opening exposition takes place in
239:
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2104:. Techniques such as stretto, sequencing, and the use of subject incipits are frequently heard in the movement.
1281:(upside down), and the inverted subject continues to feature prominently throughout the fugue. Examples include
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1766:
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included an atonal or twelve-tone fugue, for flute trumpet and string quartet, in his score for the 1953 film
39:
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The closing section of a fugue often includes one or two counter-expositions, and possibly a stretto, in the
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2167:'s second movement, the Kyrie, in which each part (SMATB) is subdivided in four-voice "bundles" that make a
2153:) have nothing to do with the academic fugue. Like those great models, this one is an anti-scholastic fugue.
2014:
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1542:, and offered a series of exercises to learn fugue writing. Fux's work was largely based on the practice of
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features a "fugue-like" passage early in the movement, though this is not actually an example of a fugue.
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1611:, the fugue was no longer a central or even fully natural mode of musical composition. Nevertheless, both
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has described what is commonly regarded as the most fully developed procedure of imitative counterpoint.
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1635:(1787). Some of the earliest examples of Haydn's use of counterpoint, however, are in three symphonies (
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A widespread view of the fugue is that it is not a musical form but rather a technique of composition.
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1901:(1927, p. 235) hears it as "the most superhuman piece of music that Beethoven has ever written."
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was familiar with fugal writing from childhood, as an important part of his training was playing from
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761:. For the same reason, it is possible for the answer of such a subject to be in the subdominant key.
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Most fugues open with a short main theme, called the subject, which then sounds successively in each
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describes a type of composition (or technique of composition) in which elements of fugue and strict
953:(the enlargement of the subject's rhythmic values by a certain factor), or any combination thereof.
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Fugue No. 1 in C Major, BWV 846 uses a SAAS (subject-answer-answer-subject) exposition. A brief
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Analyses of J. S. Bach's Fugue for Solo Violin in C major, BWV 1005 (tutorial video with score)
203:, developed from previously heard material; further "entries" of the subject are then heard in
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also included them in their respective symphonies. The exposition of the finale of Bruckner's
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3484:, fourth edition, ed. Michael Kennedy (Oxford and New York: Oxford University Press, 1996)
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4562:
2290:", the dance sequence following the song "Cool" is structured as a fugue. Interestingly,
1934:, fugue writing had become specifically attached to the norms and styles of the Baroque.
1185:. Any material that follows the final entry of the subject is considered to be the final
715:; alternatively, if the intervals of the subject are altered in any way, the answer is a
4087:
Eric Drott, "Lines, Masses, Micropolyphony: Ligeti's Kyrie and the 'Crisis of the Figure
4697:
4600:
4383:
2428:
2357:
2272:
2243:
2193:
2001:
1987:
1977:
1931:
1842:
is a fugue, and there are fugal passages in the last movements of his Piano Sonatas in
1751:
1716:
1390:
913:
909:
766:
283:
161:, the fugue was fundamental in showing mastery of harmony and tonality as it presented
1658:
Haydn's second fugal period occurred after he heard, and was greatly inspired by, the
1647:) that date from 1762 to 1763. The earliest fugues, in both the symphonies and in the
258:(c. 1637–1707) and others. With the decline of sophisticated styles at the end of the
4778:
4732:
4717:
4687:
4682:
4498:
4337:
4142:
3921:
3903:
3827:
3628:
3566:
3521:
3403:
3360:
3308:
3217:
3105:
2867:
2827:
2782:
2712:
2581:
2371:
2338:
2328:
2276:
2247:
2210:
2168:
2054:
2030:
2005:
1894:
1879:
1857:
1712:
1696:
1584:
1495:
1483:
1460:
1435:
1394:
1323:
1295:. During the Baroque period, counter-fugues were sometimes called by the Latin name
1178:
978:
875:
696:
667:
259:
208:
173:
149:
107:
4459:. Eastman studies in music. Vol. 13. Rochester: University of Rochester Press.
2460:
thoughts." In presenting Bach's fugues as among the greatest of contrapuntal works,
695:
A fugue begins with the exposition of its subject in one of the voices alone in the
4727:
4667:
2375:
2361:
2314:
2280:
2143:
1612:
1551:
1522:
1510:
featured a quick fugal section after a slow introduction. The second movement of a
1443:
1393:, but was initially used to refer to any kind of imitative counterpoint, including
1186:
1052:
999:
993:
901:
837:
700:
212:
192:
162:
120:
96:
3832:"On ancient languages: the historical idiom in the music of Wolfgang Amadé Mozart"
2610: for discussion of the changing use of the term throughout Western music history.
2226:, a full-scale fugue set to a text that cleverly explicates its own musical form.
1311:(1739), and some German-language texts use that name to refer to a counter-fugue.
779:
1963:(1853) contains a powerful fugue, demanding incisive virtuosity from its player:
1893:
that several commentators regard as one of the composer's greatest achievements.
1783:
1550:
studied from this book, and it remained influential into the nineteenth century.
1109:
1017:
941:. In any of the entries within a fugue, the subject may be altered by inversion,
757:, this note is transposed up a fourth to the tonic rather than up a fifth to the
742:
4114:
4106:
4078:. Translator not indicated. Erato Disques S.A. 4509-91705-2, 1993. Compact Disc.
2436:
2217:
2184:
1956:
1182:
770:; if this accompanying material is only heard once, it is simply referred to as
754:
263:
177:
169:
133:
3256:
Bach, Johann Sebastian (1997). "Fuge Nr. 2". In Heinemann, Ernst-Günter (ed.).
1908:
1759:
for two pianos (1783). Later, Mozart incorporated fugal writing into his opera
1438:, but by the 1550s, it was considered a technique of composition. The composer
4614:
4413:
4332:
4177:
3278:. Cambridge, Massachusetts, and London: Harvard University Press. p. 178.
2461:
2432:
2401:
2343:
2180:
2176:
1971:
1919:
1687:; and the late string quartets, Opus 71 no. 3 and (especially) Opus 76 no. 6.
946:
758:
129:
4636:
1563:, which many composers and theorists look at as the greatest model of fugue.
1127:
in which the subject/answer is heard in completion in all voices is known as
4742:
4671:
4474:
4163:
4110:
2533:. Vol. 2 (3rd ed.). Dubuque: Wm. C. Brown Publishers. p. 45.
2406:
2310:
2040:
1772:
1535:
1506:
has only a few fugues among his corpus of over 500 harpsichord sonatas. The
1089:
921:
238:(1685–1750), well known for his fugues, shaped his own works after those of
100:
4438:
4405:
1446:
counterpoint and imitation, and fugal writing became the basis for writing
896:
Middle entries tend to occur at keys other than the tonic. These are often
148:, and a final entry that contains the return of the subject in the fugue's
4324:
4307:
2968:, ed. Alison Latham (Oxford and New York: Oxford University Press, 2002).
4712:
4127:"Listening to Britten – the Young Person's Guide to the Orchestra, Op.34"
3068:, ed. Alison Latham (Oxford and New York: Oxford University Press, 2002)
2321:
1801:
fugue which, some believe, would have come at the end of the Sequentia).
1659:
1491:
1402:
808:
219:
44:
1036:
17:
4339:
Music Alone: Philosophical Reflections on the Purely Musical Experience
4182:
2751:
1873:, except the third. A massive, dissonant fugue forms the finale of his
1750:, introducing them with preludes of his own. In a letter to his sister
1703:, and the musical influence of his predecessors and colleagues such as
1599:("Treatise on the fugue", 1753) was largely based on J.S. Bach's work.
1573:
1406:
1262:
1081:
1074:
825:
227:
158:
4511:
949:(the reduction of the subject's rhythmic values by a certain factor),
1819:
27:
Contrapuntal musical form based on a subject that recurs in imitation
1277:
is a fugue in which the first answer is presented as the subject in
330:(a passage in fugal style within another work that is not a fugue).
1119:
Only one entry of the subject must be heard in its completion in a
298:
originated in the 16th century and is derived from the French word
2213:
theme is triumphantly cited at the end, making it a choral fugue.
1965:
1907:
1877:(1825); the latter was later published separately as Op. 133, the
1771:
1651:, exhibit the influence of Joseph Fux's treatise on counterpoint,
1499:
1447:
1228:
1088:
1079:
Sometimes counter-expositions or the middle entries take place in
1035:
998:
778:
721:
357:
Example of key and entry structure in a three-voice Baroque fugue
89:
38:
1883:("Great Fugue"). However, it is the fugue that opens Beethoven's
2235:
2043:(200, p. 88) describes as having "a subtle glint of jazz".
1798:
199:
is complete. This is often followed by a connecting passage, or
124:, which is a style of song popularized by and mostly limited to
4640:
3486:
Kennedy, Michael; Kennedy, Joyce Bourne; Bourne, Joyce (2007).
2711:
Walker, Paul (2001). "Fugue, §1: A classic fugue analysed". In
2670:
Kennedy, Michael; Kennedy, Joyce Bourne; Bourne, Joyce (2007).
1897:(1966, p. 330) calls it "this most moving of all fugues".
4599:
4319:. Washington, D.C.: The Catholic University of America Press.
195:. When each voice has completed its entry of the subject, the
2179:(running) parts overlaid onto skipping intervals, and use of
4457:
Theories of Fugue from the Age of Josquin to the Age of Bach
2451:
works), use panchromatic, or even denser, harmonic spectra.
1729:
Mass in C major, K. 167 "in honorem Sanctissimae Trinitatis"
1695:
The young Wolfgang Amadeus Mozart studied counterpoint with
1538:"), which appeared in 1725. This work laid out the terms of
836:, the first codetta is absent. The subject concludes on the
707:, with the latter being less common), which is known as the
345:
changes. The various entries may or may not be separated by
77:
1776:
Fugal passage from the finale of Mozart's Symphony No. 41 (
1557:
Bach's most famous fugues are those for the harpsichord in
262:, the fugue's central role waned, eventually giving way as
4036:
Howat, R. (2000) "Ravel and the Piano" in Mawer, D. (ed.)
1412:"Fugue" as a theoretical term first occurred in 1330 when
1238:
or the fugue of Bach's Passacaglia and Fugue in C minor,
114:(a musical theme) that is introduced at the beginning in
80:
4616:
Visualization of Bach's "Little" Fugue in G minor, organ
2826:
Walker, Paul (2001). "Fugue, §6: Late 18th century". In
1938:
wrote many fugues inspired by his study of the music of
1521:
The Baroque period also saw a rise in the importance of
4302:]. trans. A. Levin. Mattapan: Gamut Music Company.
3104:
Drabkin, William (2001). "Invertible Counterpoint". In
2089:
also incorporated fugues into his works, including the
4178:"Fugue for Tinhorns - Guys and Dolls (1955) - YouTube"
1675:
as well as several of his later symphonies, including
4752:
4503:
The Art of Fugue: Bach Fugues for Keyboard, 1715–1750
3359:
Walker, Paul (2001). "Fugue, §5: The golden age". In
2132:(1944) wrote of the sixth piece of that collection, "
1990:
included a whimsical example at the end of his opera
74:
3445:, Ed. Alison Latham, Oxford University Press, 2002,
3287:
3285:
3167:Paul Walker, "Fugue, §1: A Classic Fugue Analysed"
3036:
3034:
2866:Walker, Paul (2001). "Fugue, §8: 20th century". In
4336:
4141:
3810:
3808:
3565:
3274:(1996). "Figments of the Organicist Imagination".
3188:
3186:
2618:
2616:
2112:is the composer's homage to Bach's two volumes of
172:, the term was widely used to denote any works in
4144:Wondrous Strange: The Life and Art of Glenn Gould
3753:. New York: Oxford University Press. p. 243.
3689:
3687:
2341:includes a fugue in his score for the 1990 film,
278:(1770–1827), as well as modern composers such as
4493:. New York/London: Free Press/Collier-Macmillan.
2171:. The melodic material in this fugue is totally
2000:contained two (originally three) choral fugues.
1255:, or more famously, Bach's "St. Anne" Fugue in E
791:(dissonant) and therefore cannot be employed in
3973:. University of California Press. p. 223.
3638:The New Grove Dictionary of Music and Musicians
3531:The New Grove Dictionary of Music and Musicians
3413:The New Grove Dictionary of Music and Musicians
3370:The New Grove Dictionary of Music and Musicians
3318:The New Grove Dictionary of Music and Musicians
3227:The New Grove Dictionary of Music and Musicians
3115:The New Grove Dictionary of Music and Musicians
3025:Contrapuntal Technique in the Sixteenth Century
2877:The New Grove Dictionary of Music and Musicians
2837:The New Grove Dictionary of Music and Musicians
2792:The New Grove Dictionary of Music and Musicians
2722:The New Grove Dictionary of Music and Musicians
2591:The New Grove Dictionary of Music and Musicians
2475:
2370:, based on the 1953 novel by British novelist,
2189:
2138:
4216:. London: Oxford University Press. p. 17.
4097:49, no. 1 (Winter 2011): 4–46. Citation on 10.
3216:Walker, Paul (2001). "Counter-exposition". In
3027:. London: Oxford University Press. p. 47.
2964:G. M. Tucker and Andrew V. Jones, "Fugue", in
2916:"Oxford Reference Online, subscription access"
2509:"Oxford Reference Online, subscription access"
1097:fugue in a quotation from Fugue in C major by
140:. A fugue usually has three main sections: an
4652:
4214:Essays in Music Analysis Volume I: Symphonies
3970:The Great Composers: Reviews and Bombardments
3627:Walker, Paul (2001). "Permutation Fugue". In
3302:
3300:
2557:(Cambridge: Harvard University Press, 2003),
2147:and the fugue from Beethoven's Opus 106 (the
1307:to refer to a counter-fugue construct in his
8:
3869:. New York: Dorset Press. 1986. p. 195.
3489:Oxford Reference Online, subscription access
3450:Oxford Reference Online, subscription access
3073:Oxford Reference Online, subscription access
2980:Oxford Reference Online, subscription access
2776:
2774:
2673:Oxford Reference Online, subscription access
2374:, as well as several times in his score for
945:(where the subject is heard back-to-front),
2494:
2492:
1498:from this time often conclude with a fugal
1482:Fugues were incorporated into a variety of
1210:has only one subject, and does not utilize
1157:
157:. A popular compositional technique in the
4659:
4645:
4637:
4431:Fugue and Invention in Theory and Practice
4388:Classic Music: Expression, Form, and Style
2960:
2958:
2956:
2954:
2952:
2950:
2948:
2946:
2944:
2065:is a fugue, and the first movement of his
1918:minor, Op. 131, opening fugal exposition.
1430:, a composer, author, and theorist in the
1044:Fugue No. 2 in C minor, BWV 847, from the
1007:Fugue No. 2 in C minor, BWV 847, from the
965:Fugue No. 2 in C minor, BWV 847, from the
4510:
3568:The Art of Fugue & A Musical Offering
3520:Walker, Paul (2001). "Counter-fugue". In
2706:
2704:
2702:
2700:
2206:The Young Person's Guide to the Orchestra
2050:Music for Strings, Percussion and Celesta
1947:Variations and Fugue on a Theme by Handel
1347:Passacaglia and Fugue in C minor, BWV 582
4390:. London: Collier Macmillan Publishers.
4000:. Oxford University Press. p. 340.
3597:Paul M. Walker (2001). "Counter-fugue".
3402:Walker, Paul (2001). "Double Fugue". In
355:
184:works. Since the 17th century, the term
4759:
3622:
3620:
3611:10.1093/gmo/9781561592630.article.06689
3346:
3307:Walker, Paul (2001). "Stretto (i)". In
3291:
3204:
3192:
3155:
3143:
3052:
3040:
3010:
2935:
2634:
2488:
1655:(1725), which Haydn studied carefully.
4201:. London: Plumbago Books. p. 167.
4062:
3891:
3879:
3814:
3799:
3775:
3763:
3736:
3693:
3678:
3666:
3482:The Concise Oxford Dictionary of Music
2821:
2819:
2817:
2651:The Concise Oxford Dictionary of Music
2622:
1583:, is a collection of fugues (and four
4148:. New York: Oxford University Press.
2911:The Concise Oxford English Dictionary
2645:
2643:
2504:The Concise Oxford English Dictionary
2356:The jazz composer and film composer,
2216:Canadian pianist and musical thinker
1980:included several fugues in his opera
1863:Fugal passages are also found in the
1733:Mass in C major, K. 262 "Missa longa"
1181:; sometimes over a tonic or dominant
795:, without preparation and resolution.
318:("to chase"). The adjectival form is
180:, it had come to denote specifically
95:, meaning "flight" or "escape") is a
7:
4450:. New York: Broude Brothers Limited.
4343:. Ithaca: Cornell University Press.
4274:
4262:
4250:
4238:
4226:
3787:
3705:
3397:
3395:
2067:Sonata for Two Pianos and Percussion
2053:(1936) opens with a slow fugue that
1721:Mass in C minor, K. 139 "Waisenhaus"
1699:in Bologna. Under the employment of
306:. This in turn comes from the Latin
4559:Fugues of the Well-Tempered Clavier
3720:Music in the Age of the Renaissance
2301:, such as the central movement of "
2160:wrote a five-part double fugue for
2136:" ("By Him were all things made"):
1951:Harpsichord Suite No. 1 in B♭ major
4505:. University of California Press.
4365:. London: Oxford University Press.
3276:Bach and the Patterns of Invention
2203:used a fugue in the final part of
1737:Mass in C major, K. 337 "Solemnis"
1725:Mass in C major, K. 66 "Dominicus"
310:, which is itself related to both
25:
2781:Walker, Paul (2001). "Fugue". In
2580:Walker, Paul (2001). "Fugue". In
2297:A few examples also exist within
2242:, composed by the Welsh composer
1970:Liszt Piano Sonata fugue subject
799:The countersubject is written in
4762:
4741:
4076:Vingt Regards sur l'Enfant Jésus
4038:The Cambridge Companion to Ravel
3994:Budden, Julian (December 2015).
3843:The Century of Bach & Mozart
2129:Vingt regards sur l'enfant-Jésus
1781:
1442:(1525?–1594) wrote masses using
1440:Giovanni Pierluigi da Palestrina
1218:Double (triple, quadruple) fugue
1107:
1015:
977:, in the form of an accompanied
961:The excerpt below, bars 7–12 of
834:Fugue No. 16 in G minor, BWV 861
740:
731:Fugue No. 16 in G minor, BWV 861
70:
4448:The Origin of Permutation Fugue
4315:Graves, William L. Jr. (1962).
4027:, trans. Wicker. Amadeus Press.
3560:Bach, Johann Sebastian (1992).
2555:The Harvard Dictionary of Music
2116:. In the first movement of his
1518:and others, was usually fugal.
1099:Johann Caspar Ferdinand Fischer
211:, which is often followed by a
4212:Tovey, Donald Francis (1962).
2473:, for example, suggests that:
2350:Home Alone 2: Lost in New York
2320:On their EP of the same name,
1983:Die Meistersinger von Nürnberg
1:
4040:. Cambridge University Press.
4025:Gustav Mahler: The Symphonies
3443:The Oxford Companion to Music
3258:Das Wohltemperierte Klavier I
3066:The Oxford Companion to Music
2966:The Oxford Companion to Music
2223:So You Want to Write a Fugue?
1818:. During his early career in
1309:Der vollkommene Capellmeister
1265:, a triple fugue for organ.)
1040:Example of a false answer in
821:Well-Tempered Clavier, Book 1
726:Example of a tonal answer in
4594:with accompanying recordings
4433:. Palo Alto: Pacific Books.
2531:Music in Theory and Practice
2271:" from the Broadway musical
1633:String Quartet, Op. 50 No. 4
1389:was used as far back as the
1338:Himmelskönig, sei willkommen
4491:Fugue: History and Practice
3955:Beethoven's String Quartets
3749:Schulenberg, David (2001).
3718:Perkins, Leeman L. (1999).
3492:. Oxford University Press.
3453:. Oxford University Press.
3076:. Oxford University Press.
2983:. Oxford University Press.
2676:. Oxford University Press.
1840:Cello Sonata, Op. 102 No. 2
1486:, and are found in most of
1381:Middle Ages and Renaissance
987:major is marked by a quasi
981:at the fourth. Arrival in E
43:The six-part fugue in the "
4811:
4455:Walker, Paul Mark (2000).
4376:W. W. Norton & Company
3724:W. W. Norton & Company
3260:. Munich: G. Henle Verlag.
3064:"Invertible Counterpoint"
2455:Perceptions and aesthetics
2400:The Austrian musicologist
2307:Emerson, Lake & Palmer
2083:based on the Polka theme.
1165:choruses from J.S. Bach's
1072:
938:
885:
858:
688:
29:
4739:
4678:
4590:Analyses of J. S. Bach's
4549:The Well-Tempered Clavier
4489:Horsley, Imogene (1966).
4429:Verrall, John W. (1966).
4094:Perspectives of New Music
3928:. Oxford University Press
3841:; Sean Gallagher (eds.).
3572:. Courier Dover. p.
2423:major from Book 1 of the
2114:The Well-Tempered Clavier
1869:and all movements of the
1815:The Well-Tempered Clavier
1593:Friedrich Wilhelm Marpurg
1591:and through the theorist
1565:The Well-Tempered Clavier
1560:The Well-Tempered Clavier
1540:"species" of counterpoint
1465:Jan Pieterszoon Sweelinck
543:
515:
495:
466:
440:
380:
368:
363:
240:Jan Pieterszoon Sweelinck
4568:25 February 2019 at the
4542:7 September 2006 at the
3912:, p. 501. London, Faber.
3641:(2nd ed.). London:
3534:(2nd ed.). London:
3416:(2nd ed.). London:
3373:(2nd ed.). London:
3321:(2nd ed.). London:
3230:(2nd ed.). London:
3118:(2nd ed.). London:
2880:(2nd ed.). London:
2840:(2nd ed.). London:
2795:(2nd ed.). London:
2725:(2nd ed.). London:
2594:(2nd ed.). London:
1930:By the beginning of the
338:A fugue begins with the
4607:The American Cyclopædia
4317:Twentieth Century Fugue
4140:Bazzana, Kevin (2004).
3944:. London, Jonathan Cape
3603:Oxford University Press
3447:Latham, Alison (2011).
3070:Latham, Alison (2011).
2977:Latham, Alison (2011).
2757:Encyclopædia Britannica
2659:Oxford University Press
2529:Benward, Bruce (1985).
2393:Musical form or texture
2230:Outside classical music
2187:, in this work, Ligeti
2134:Par Lui tout a été fait
2079:followed by a powerful
2039:(1917) is a fugue that
2029:The second movement of
1996:and his setting of the
1961:Piano Sonata in B minor
1912:Beethoven, Quartet in C
1875:String Quartet, Op. 130
1709:Anton Cajetan Adlgasser
1597:Abhandlung von der Fuge
1329:invertible counterpoint
1212:invertible counterpoint
931:, which often uses the
801:invertible counterpoint
793:invertible counterpoint
381:Final entries in tonic
272:Wolfgang Amadeus Mozart
234:. The Baroque composer
176:style; however, by the
104:compositional technique
4795:Classical music styles
3967:Shaw, Bernard (1978).
3926:The Beethoven Quartets
3023:Morris, R. O. (1958).
2657:(Oxford and New York:
2653:, fourth edition, ed.
2480:
2198:
2155:
2110:24 Preludes and Fugues
2063:Sonata for Solo Violin
2036:Le Tombeau de Couperin
1974:
1922:
1790:
1765:and the finale of his
1715:, and his own father,
1488:George Frideric Handel
1473:Johann Jakob Froberger
1173:Final entries and coda
1158:
1151:(see for example, the
1116:
1056:
1024:
796:
749:
326:("a small fugue") and
244:Johann Jakob Froberger
57:
32:Fugue (disambiguation)
4592:Well-Tempered Clavier
4585:Fugues and fugue sets
4446:Walker, Paul (1992).
4370:Mann, Alfred (1965).
4199:Film Music and Beyond
4197:Keller, Hans (2006).
4109:. (26 November 2017)
3957:. London, Hutchinson.
3953:Radcliffe, P. (1965)
2425:Well Tempered Clavier
2073:Schwanda the Bagpiper
1969:
1940:Johann Sebastian Bach
1911:
1775:
1747:Well-Tempered Clavier
1741:Gottfried van Swieten
1251:Well-Tempered Clavier
1092:
1047:Well-Tempered Clavier
1039:
1010:Well-Tempered Clavier
1002:
968:Well-Tempered Clavier
886:Further information:
859:Further information:
782:
736:Well-Tempered Clavier
725:
689:Further information:
236:Johann Sebastian Bach
55:Johann Sebastian Bach
42:
3839:Thomas Forrest Kelly
3751:Music of the Baroque
3643:Macmillan Publishers
3536:Macmillan Publishers
3418:Macmillan Publishers
3375:Macmillan Publishers
3323:Macmillan Publishers
3232:Macmillan Publishers
3170:"Grove Music Online"
3120:Macmillan Publishers
2882:Macmillan Publishers
2842:Macmillan Publishers
2797:Macmillan Publishers
2727:Macmillan Publishers
2596:Macmillan Publishers
2260:and recorded by the
2150:Hammerklavier sonata
2126:, writing about his
1810:Ludwig van Beethoven
1705:Johann Ernst Eberlin
1701:Archbishop Colloredo
1469:Girolamo Frescobaldi
957:Example and analysis
898:closely related keys
276:Ludwig van Beethoven
252:Girolamo Frescobaldi
50:The Musical Offering
30:For other uses, see
4561:(viewable in Adobe
3909:The Classical Style
2262:Modern Jazz Quartet
2106:Dmitri Shostakovich
2069:contains a fugato.
1885:String Quartet in C
1653:Gradus ad Parnassum
1531:Gradus Ad Parnassum
1527:Johann Joseph Fux's
1477:Dieterich Buxtehude
1368:Diabelli Variations
1153:Gratias agimus tibi
1143:form is known as a
1003:Visual analysis of
888:Musical development
358:
322:. Variants include
280:Dmitri Shostakovich
256:Dieterich Buxtehude
4384:Ratner, Leonard G.
4372:The Study of Fugue
4363:The Study of Fugue
4296:Traité de la fugue
4129:. 18 October 2013.
4049:Boulez, P. (1986)
4021:Floros, Constantin
3938:Sullivan, J. W. N.
3726:. pp. 880–81.
3599:Grove Music Online
2449:Witold Lutosławski
2337:The film composer
2303:The Endless Enigma
2269:Fugue for Tinhorns
2091:Symphony of Psalms
1975:
1923:
1791:
1595:(1718–1795) whose
1504:Domenico Scarlatti
1479:all wrote fugues.
1299:. German composer
1248:minor from Bach's
1236:Requiem in D minor
1117:
1060:Counter-exposition
1057:
1025:
929:counter-exposition
797:
783:The interval of a
750:
691:Exposition (music)
662:= countersubject;
356:
268:symphony orchestra
138:West Gallery music
58:
4750:
4749:
4512:10.1525/luminos.1
4300:Treatise on Fugue
4023:. (1997, p. 135)
4007:978-0-19-027398-9
3980:978-0-520-03266-8
3867:Letters of Mozart
3652:978-1-56159-239-5
3583:978-0-486-27006-7
3545:978-1-56159-239-5
3499:978-0-19-920383-3
3460:978-0-19-957903-7
3427:978-1-56159-239-5
3384:978-1-56159-239-5
3332:978-1-56159-239-5
3272:Dreyfus, Laurence
3241:978-1-56159-239-5
3129:978-1-56159-239-5
3083:978-0-19-957903-7
2990:978-0-19-957903-7
2891:978-1-56159-239-5
2851:978-1-56159-239-5
2806:978-1-56159-239-5
2736:978-1-56159-239-5
2683:978-0-19-920383-3
2605:978-1-56159-239-5
2560:"credo Reference"
2412:Although certain
2333:Graham Sutherland
2292:Leonard Bernstein
2240:Bach goes to Town
1945:Johannes Brahms'
1936:Felix Mendelssohn
1899:J. W. N. Sullivan
1793:The parts of the
1787:
1546:'s modal fugues.
1516:Arcangelo Corelli
1320:Permutation fugue
1315:Permutation fugue
1287:Contrapunctus VII
1129:stretto maestrale
1113:
1021:
902:relative dominant
773:free counterpoint
746:
678:
645:
644:
530:
510:
481:
455:
402:
294:The English term
53:, in the hand of
16:(Redirected from
4802:
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4765:
4758:
4745:
4661:
4654:
4647:
4638:
4628:
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4603:
4580:Theory on fugues
4526:
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4117:
4111:"Chasing a Fugue
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4054:
4053:. London, Faber.
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3506:
3480:"Double Fugue",
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3158:, pp. 71–72
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2496:
2471:Nicola Vicentino
2422:
2421:
2299:progressive rock
2246:and recorded by
2201:Benjamin Britten
2124:Olivier Messiaen
2103:
2102:
1917:
1916:
1903:Philip Radcliffe
1890:
1889:
1853:
1852:
1844:A major, Op. 101
1789:
1788:
1756:andante maestoso
1579:The Art of Fugue
1514:, as written by
1512:sonata da chiesa
1428:Gioseffo Zarlino
1422:Speculum musicae
1416:wrote about the
1414:Jacobus of Liege
1303:coined the term
1301:Johann Mattheson
1292:The Art of Fugue
1260:
1259:
1247:
1246:
1189:and is normally
1163:
1160:Dona nobis pacem
1115:
1114:
1023:
1022:
986:
985:
845:
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748:
747:
650:
516:
496:
467:
441:
408:Relative maj/min
400:
359:
314:("to flee") and
282:(1906–1975) and
274:(1756–1791) and
248:Johann Pachelbel
87:
86:
83:
82:
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21:
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4805:
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4790:Polyphonic form
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4774:
4773:
4769:Classical music
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4753:
4751:
4746:
4737:
4693:English cadence
4674:
4665:
4626:
4615:
4598:
4570:Wayback Machine
4554:Mutopia Project
4546:, J. S. Bach's
4544:Wayback Machine
4533:
4523:
4497:
4488:
4485:
4483:Further reading
4467:
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3696:, pp. 9–10
3692:
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3596:
3595:
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3562:Dörffel, Alfred
3559:
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3514:
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3446:
3441:"double fugue"
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2760:
2752:"Fugue | music"
2750:
2749:
2745:
2737:
2710:
2709:
2698:
2688:
2686:
2684:
2669:
2655:Michael Kennedy
2648:
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2497:
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2419:
2418:
2395:
2390:
2288:West Side Story
2232:
2194:micro-polyphony
2118:Fourth Symphony
2100:
2099:
2087:Igor Stravinsky
2033:'s piano suite
2023:
1972:Link to passage
1928:
1914:
1913:
1887:
1886:
1856:. According to
1850:
1849:
1825:Eroica Symphony
1807:
1782:
1767:Symphony No. 41
1762:Die Zauberflöte
1693:
1625:
1605:
1508:French overture
1457:
1383:
1378:
1355:
1317:
1283:Contrapunctus V
1271:
1257:
1256:
1244:
1243:
1220:
1204:
1199:
1175:
1167:Mass in B minor
1108:
1077:
1071:
1062:
1030:
1016:
989:perfect cadence
983:
982:
959:
890:
884:
874:, a teacher of
863:
861:Section (music)
857:
842:
841:
840:(or crotchet) B
741:
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451:
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445:
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438:
401:redundant entry
375:
369:First mid-entry
336:
334:Musical outline
302:or the Italian
292:
106:in two or more
73:
69:
62:classical music
35:
28:
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22:
15:
12:
11:
5:
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4698:False relation
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4532:
4531:External links
4529:
4528:
4527:
4521:
4499:Kerman, Joseph
4495:
4484:
4481:
4480:
4479:
4465:
4452:
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4312:
4292:Gedalge, André
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3922:Kerman, Joseph
3914:
3904:Rosen, Charles
3896:
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3780:
3768:
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3629:Sadie, Stanley
3616:
3589:
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3552:
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3522:Sadie, Stanley
3512:
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3434:
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3404:Sadie, Stanley
3391:
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3361:Sadie, Stanley
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3309:Sadie, Stanley
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3218:Sadie, Stanley
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3106:Sadie, Stanley
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2868:Sadie, Stanley
2858:
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2828:Sadie, Stanley
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2783:Sadie, Stanley
2770:
2743:
2735:
2713:Sadie, Stanley
2696:
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2604:
2582:Sadie, Stanley
2572:
2546:
2539:
2521:
2487:
2486:
2484:
2481:
2456:
2453:
2429:relative minor
2394:
2391:
2389:
2386:
2367:The Go-Between
2358:Michel Legrand
2273:Guys and Dolls
2244:Alec Templeton
2231:
2228:
2095:Dumbarton Oaks
2022:
2019:
2015:Symphony No. 5
2010:Symphony No. 5
2002:Anton Bruckner
1988:Giuseppe Verdi
1978:Richard Wagner
1927:
1924:
1891:minor, Op. 131
1871:Ninth Symphony
1866:Missa Solemnis
1806:
1803:
1752:Nannerl Mozart
1717:Leopold Mozart
1692:
1689:
1629:"Sun" Quartets
1624:
1621:
1604:
1601:
1484:musical genres
1461:Baroque period
1459:It was in the
1456:
1453:
1382:
1379:
1377:
1374:
1354:
1351:
1316:
1313:
1297:fuga contraria
1289:, from Bach's
1270:
1267:
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1216:
1203:
1200:
1198:
1195:
1174:
1171:
1073:Main article:
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910:relative major
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767:countersubject
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284:Paul Hindemith
260:baroque period
155:recapitulation
126:early American
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4601:"Fugue"
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4466:9781580461504
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4397:9780028720203
4393:
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4350:0-8014-2331-7
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4309:
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4265:, p. 210
4264:
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3852:9780964031739
3848:
3844:
3840:
3833:
3829:
3828:Ulrich Konrad
3823:
3820:
3816:
3811:
3809:
3805:
3801:
3796:
3793:
3789:
3784:
3781:
3778:, p. 317
3777:
3772:
3769:
3766:, p. 316
3765:
3760:
3757:
3752:
3745:
3742:
3739:, p. 165
3738:
3733:
3730:
3725:
3721:
3714:
3711:
3707:
3702:
3699:
3695:
3690:
3688:
3684:
3680:
3675:
3672:
3668:
3663:
3660:
3654:
3648:
3644:
3640:
3639:
3634:
3633:Tyrrell, John
3630:
3623:
3621:
3617:
3612:
3608:
3604:
3600:
3593:
3590:
3585:
3579:
3575:
3570:
3569:
3563:
3556:
3553:
3547:
3541:
3537:
3533:
3532:
3527:
3526:Tyrrell, John
3523:
3516:
3513:
3501:
3495:
3491:
3490:
3483:
3477:
3474:
3462:
3456:
3452:
3451:
3444:
3438:
3435:
3429:
3423:
3419:
3415:
3414:
3409:
3408:Tyrrell, John
3405:
3398:
3396:
3392:
3386:
3380:
3376:
3372:
3371:
3366:
3365:Tyrrell, John
3362:
3355:
3352:
3348:
3343:
3340:
3334:
3328:
3324:
3320:
3319:
3314:
3313:Tyrrell, John
3310:
3303:
3301:
3297:
3294:, p. 108
3293:
3288:
3286:
3282:
3277:
3273:
3267:
3264:
3259:
3252:
3249:
3243:
3237:
3233:
3229:
3228:
3223:
3222:Tyrrell, John
3219:
3212:
3209:
3206:
3201:
3198:
3194:
3189:
3187:
3183:
3171:
3164:
3161:
3157:
3152:
3149:
3145:
3140:
3137:
3131:
3125:
3121:
3117:
3116:
3111:
3110:Tyrrell, John
3107:
3100:
3097:
3085:
3079:
3075:
3074:
3067:
3061:
3058:
3054:
3049:
3046:
3042:
3037:
3035:
3031:
3026:
3019:
3016:
3012:
3007:
3004:
2992:
2986:
2982:
2981:
2975:
2974:0-19-866212-2
2971:
2967:
2961:
2959:
2957:
2955:
2953:
2951:
2949:
2947:
2945:
2941:
2937:
2932:
2929:
2917:
2912:
2908:
2902:
2899:
2893:
2887:
2883:
2879:
2878:
2873:
2872:Tyrrell, John
2869:
2862:
2859:
2853:
2847:
2843:
2839:
2838:
2833:
2832:Tyrrell, John
2829:
2822:
2820:
2818:
2814:
2808:
2802:
2798:
2794:
2793:
2788:
2787:Tyrrell, John
2784:
2777:
2775:
2771:
2759:
2758:
2753:
2747:
2744:
2738:
2732:
2728:
2724:
2723:
2718:
2717:Tyrrell, John
2714:
2707:
2705:
2703:
2701:
2697:
2685:
2679:
2675:
2674:
2668:
2667:0-19-280037-X
2664:
2660:
2656:
2652:
2646:
2644:
2640:
2636:
2631:
2628:
2625:, p. 263
2624:
2619:
2617:
2613:
2607:
2601:
2597:
2593:
2592:
2587:
2586:Tyrrell, John
2583:
2576:
2573:
2561:
2556:
2550:
2547:
2542:
2540:0-697-03633-2
2536:
2532:
2525:
2522:
2510:
2505:
2501:
2495:
2493:
2489:
2482:
2479:
2474:
2472:
2466:
2463:
2454:
2452:
2450:
2446:
2442:
2441:György Ligeti
2438:
2434:
2430:
2427:explores the
2426:
2415:
2410:
2408:
2403:
2398:
2392:
2387:
2385:
2383:
2382:
2378:'s 1970 film
2377:
2373:
2369:
2368:
2364:'s 1972 film
2363:
2359:
2354:
2352:
2351:
2346:
2345:
2340:
2339:John Williams
2335:
2334:
2330:
2329:Matyas Seiber
2327:The composer
2325:
2323:
2318:
2316:
2312:
2311:On Reflection
2308:
2304:
2300:
2295:
2293:
2289:
2284:
2282:
2278:
2277:Frank Loesser
2275:, written by
2274:
2270:
2265:
2263:
2259:
2255:
2254:
2250:in 1938, and
2249:
2248:Benny Goodman
2245:
2241:
2237:
2229:
2227:
2225:
2224:
2219:
2214:
2212:
2211:Henry Purcell
2208:
2207:
2202:
2197:
2195:
2188:
2186:
2182:
2178:
2174:
2170:
2166:
2165:
2159:
2158:György Ligeti
2154:
2152:
2151:
2146:
2145:
2137:
2135:
2131:
2130:
2125:
2121:
2119:
2115:
2111:
2107:
2096:
2092:
2088:
2084:
2082:
2078:
2074:
2070:
2068:
2064:
2060:
2056:
2055:Pierre Boulez
2052:
2051:
2046:
2042:
2038:
2037:
2032:
2031:Maurice Ravel
2027:
2020:
2018:
2016:
2011:
2007:
2006:Gustav Mahler
2003:
1999:
1995:
1994:
1989:
1985:
1984:
1979:
1973:
1968:
1964:
1962:
1958:
1954:
1952:
1948:
1943:
1941:
1937:
1933:
1925:
1921:
1910:
1906:
1904:
1900:
1896:
1895:Joseph Kerman
1892:
1882:
1881:
1876:
1872:
1868:
1867:
1861:
1859:
1858:Charles Rosen
1855:
1854:major Op. 110
1845:
1841:
1837:
1835:
1834:Hammerklavier
1829:
1827:
1826:
1821:
1817:
1816:
1811:
1804:
1802:
1800:
1796:
1779:
1774:
1770:
1768:
1764:
1763:
1757:
1753:
1749:
1748:
1742:
1738:
1734:
1730:
1726:
1722:
1718:
1714:
1713:Michael Haydn
1710:
1706:
1702:
1698:
1697:Padre Martini
1690:
1688:
1686:
1682:
1678:
1674:
1672:
1667:
1666:
1661:
1656:
1654:
1650:
1649:Baryton trios
1646:
1642:
1638:
1634:
1630:
1622:
1620:
1618:
1614:
1610:
1609:Classical era
1603:Classical era
1602:
1600:
1598:
1594:
1590:
1586:
1582:
1580:
1575:
1571:
1566:
1562:
1561:
1555:
1553:
1549:
1545:
1541:
1537:
1533:
1532:
1528:
1524:
1519:
1517:
1513:
1509:
1505:
1501:
1497:
1493:
1489:
1485:
1480:
1478:
1474:
1470:
1466:
1462:
1454:
1452:
1449:
1445:
1441:
1437:
1436:improvisation
1433:
1429:
1425:
1423:
1419:
1415:
1410:
1408:
1404:
1400:
1396:
1392:
1388:
1380:
1375:
1373:
1371:
1369:
1364:
1360:
1352:
1350:
1348:
1343:
1341:
1339:
1332:
1330:
1325:
1321:
1314:
1312:
1310:
1306:
1302:
1298:
1294:
1293:
1288:
1284:
1280:
1276:
1275:counter-fugue
1269:Counter-fugue
1268:
1266:
1264:
1254:
1252:
1241:
1237:
1234:
1230:
1229:Kyrie Eleison
1225:
1217:
1215:
1213:
1209:
1201:
1196:
1194:
1192:
1188:
1184:
1180:
1172:
1170:
1168:
1164:
1162:
1161:
1154:
1150:
1149:stretto fugue
1146:
1142:
1138:
1134:
1133:grand stretto
1130:
1126:
1123:. However, a
1122:
1105:
1100:
1096:
1091:
1087:
1085:
1083:
1076:
1068:
1066:
1059:
1054:
1050:
1048:
1043:
1038:
1034:
1028:False entries
1027:
1013:
1011:
1006:
1001:
997:
995:
990:
980:
976:
971:
969:
964:
956:
954:
952:
948:
944:
940:
939:double fugues
936:
935:
930:
925:
923:
919:
915:
911:
907:
903:
899:
894:
889:
881:
879:
877:
876:Maurice Ravel
873:
872:André Gedalge
868:
862:
854:
852:
848:
839:
835:
830:
827:
823:
822:
818:
813:
810:
805:
802:
794:
790:
787:inverts to a
786:
781:
777:
775:
774:
769:
768:
762:
760:
756:
738:
737:
732:
729:
724:
720:
718:
714:
710:
706:
702:
698:
692:
684:
677:
673:
669:
665:
661:
657:
653:
649:
648:
647:
646:
640:
634:
628:
625:
619:
613:
610:
608:
606:
603:
602:
595:
592:
586:
580:
577:
571:
565:
562:
560:
557:
556:
553:
538:
532:
512:
489:
483:
463:
457:
434:
431:
428:
427:
423:
420:
418:
415:
413:
410:
407:
405:
398:
395:
393:
390:
387:
385:
384:
378:
373:
371:
366:
361:
360:
354:
352:
348:
343:
342:
333:
331:
329:
325:
321:
317:
313:
309:
305:
301:
297:
289:
287:
286:(1895–1963).
285:
281:
277:
273:
269:
265:
261:
257:
254:(1583–1643),
253:
250:(1653–1706),
249:
246:(1616–1667),
245:
242:(1562–1621),
241:
237:
233:
229:
225:
221:
216:
214:
210:
206:
202:
198:
194:
189:
187:
183:
179:
175:
171:
166:
164:
160:
156:
151:
147:
143:
139:
136:") music and
135:
131:
127:
123:
122:
117:
113:
110:, built on a
109:
105:
102:
98:
94:
91:
85:
67:
63:
56:
52:
51:
46:
41:
37:
33:
19:
4702:
4668:Counterpoint
4605:
4591:
4547:
4502:
4490:
4456:
4447:
4430:
4421:
4417:
4387:
4374:. New York:
4371:
4362:
4359:Mann, Alfred
4338:
4316:
4299:
4295:
4277:, p. 16
4270:
4258:
4246:
4234:
4222:
4213:
4207:
4198:
4192:
4181:
4172:
4143:
4135:
4121:
4107:Service, Tom
4102:
4092:
4083:
4075:
4070:
4065:, p. 67
4058:
4051:Orientations
4050:
4045:
4037:
4032:
4024:
4016:
3996:
3989:
3969:
3962:
3954:
3949:
3941:
3933:
3925:
3917:
3907:
3899:
3894:, p. 65
3887:
3875:
3866:
3861:
3842:
3822:
3817:, p. 64
3795:
3790:, p. 53
3783:
3771:
3759:
3750:
3744:
3732:
3722:. New York:
3719:
3713:
3701:
3674:
3669:, p. 56
3662:
3636:
3598:
3592:
3567:
3555:
3529:
3515:
3503:. Retrieved
3488:
3481:
3476:
3464:. Retrieved
3449:
3442:
3437:
3411:
3368:
3354:
3349:, p. 77
3347:Verrall 1966
3342:
3316:
3292:Gedalge 1964
3275:
3266:
3257:
3251:
3225:
3211:
3205:Gedalge 1964
3200:
3195:, p. 33
3193:Verrall 1966
3173:. Retrieved
3163:
3156:Gedalge 1964
3151:
3146:, p. 61
3144:Gedalge 1964
3139:
3113:
3099:
3087:. Retrieved
3072:
3065:
3060:
3055:, p. 59
3053:Gedalge 1964
3048:
3043:, p. 12
3041:Verrall 1966
3024:
3018:
3013:, p. 12
3011:Gedalge 1964
3006:
2994:. Retrieved
2979:
2965:
2938:, p. 70
2936:Gedalge 1964
2931:
2919:. Retrieved
2910:
2906:
2901:
2875:
2861:
2835:
2790:
2761:. Retrieved
2755:
2746:
2720:
2687:. Retrieved
2672:
2650:
2635:Gedalge 1964
2630:
2589:
2575:
2563:. Retrieved
2554:
2549:
2530:
2524:
2512:. Retrieved
2503:
2499:
2476:
2467:
2458:
2444:
2424:
2414:related keys
2411:
2399:
2396:
2379:
2376:Jacques Demy
2372:L.P. Hartley
2365:
2362:Joseph Losey
2355:
2348:
2342:
2336:
2332:
2326:
2319:
2315:Gentle Giant
2296:
2285:
2266:
2256:composed by
2251:
2239:
2233:
2221:
2215:
2209:(1946). The
2204:
2199:
2190:
2163:
2156:
2148:
2144:Art of Fugue
2142:
2139:
2133:
2127:
2122:
2085:
2080:
2076:
2072:
2071:
2058:
2048:
2034:
2028:
2024:
2021:20th century
1998:Requiem Mass
1991:
1981:
1976:
1955:
1950:
1946:
1944:
1932:Romantic era
1929:
1926:Romantic era
1878:
1864:
1862:
1833:
1830:
1823:
1813:
1808:
1792:
1777:
1760:
1755:
1745:
1694:
1669:
1665:The Creation
1663:
1657:
1652:
1626:
1606:
1596:
1578:
1564:
1558:
1556:
1529:
1523:music theory
1520:
1481:
1458:
1426:
1421:
1417:
1411:
1386:
1384:
1367:
1358:
1356:
1344:
1337:
1333:
1319:
1318:
1308:
1304:
1296:
1290:
1286:
1282:
1274:
1272:
1250:
1224:double fugue
1223:
1221:
1208:simple fugue
1207:
1205:
1202:Simple fugue
1176:
1156:
1152:
1148:
1144:
1140:
1136:
1132:
1128:
1124:
1120:
1118:
1103:
1094:
1080:
1078:
1063:
1053:quarter note
1046:
1031:
1009:
967:
960:
951:augmentation
932:
928:
926:
900:such as the
895:
891:
864:
849:
838:quarter note
831:
819:
814:
806:
798:
771:
765:
763:
751:
734:
717:tonal answer
716:
712:
708:
694:
671:
663:
659:
655:
651:
544:
541:counterpoint
411:Dom. of rel.
350:
349:or occur in
346:
339:
337:
327:
323:
319:
315:
311:
307:
303:
299:
295:
293:
217:
205:related keys
200:
196:
190:
185:
167:
163:counterpoint
121:fuguing tune
119:
97:contrapuntal
92:
65:
59:
48:
36:
4414:Ratz, Erwin
4333:Kivy, Peter
4229:, Chapter 3
4115:BBC Radio 3
4063:Graves 1962
3892:Graves 1962
3880:Ratner 1980
3815:Graves 1962
3802:, p. 2
3800:Walker 2000
3776:Walker 2000
3764:Walker 2000
3737:Walker 2000
3708:, p. 9
3694:Walker 2000
3681:, p. 7
3679:Walker 2000
3667:Walker 1992
3175:18 February
2637:, p. 7
2623:Ratner 1980
2437:subdominant
2218:Glenn Gould
2185:Tom Service
2045:Béla Bartók
1957:Franz Liszt
1953:, HWV 434.
1671:The Seasons
1607:During the
1589:C.P.E. Bach
1534:("Steps to
1494:. Keyboard
1455:Baroque era
1432:Renaissance
1391:Middle Ages
1145:close fugue
1093:Example of
1042:J.S. Bach's
1014:(bars 7–12)
1005:J.S. Bach's
963:J.S. Bach's
906:subdominant
882:Development
817:J.S. Bach's
733:, from the
728:J.S. Bach's
713:real answer
705:subdominant
654:= subject;
264:sonata form
178:Renaissance
170:Middle Ages
159:Baroque era
146:development
134:Sacred Harp
4779:Categories
2553:"Fugue ."
2483:References
2462:Peter Kivy
2433:supertonic
2402:Erwin Ratz
2388:Discussion
2381:Peau d'âne
2344:Home Alone
2281:horse race
2258:John Lewis
2238:, such as
2181:polyrhythm
2177:melismatic
1880:Große Fuge
1581:, BWV 1080
1544:Palestrina
1403:ricercares
1183:pedal note
947:diminution
943:retrograde
867:modulatory
759:supertonic
685:Exposition
658:= answer;
364:Exposition
341:exposition
224:capriccios
197:exposition
142:exposition
130:shape note
101:polyphonic
47:a 6" from
4708:Imitation
4672:polyphony
4574:Shockwave
4294:(1964) .
4275:Mann 1965
4263:Kivy 1990
4251:Kivy 1990
4239:Ratz 1951
4227:Ratz 1951
4074:Notes to
3942:Beethoven
3788:Mann 1960
3706:Mann 1960
2661:, 1996).
2649:"Fugue",
2407:tonic key
2264:in 1955.
2220:composed
2173:chromatic
2041:Roy Howat
1805:Beethoven
1660:oratorios
1536:Parnassus
1492:oratorios
1399:fantasias
1385:The term
1363:Beethoven
1340:, BWV 182
1305:gegenfuge
1279:inversion
1191:cadential
934:inversion
922:Pachelbel
918:Buxtehude
376:mid-entry
290:Etymology
232:fantasias
220:ricercars
182:imitative
116:imitation
4713:Ricercar
4566:Archived
4540:Archived
4501:(2015).
4475:56634238
4416:(1951).
4386:(1980).
4361:(1960).
4335:(1990).
4164:54687539
3924:(1966),
3830:(2008).
3635:(eds.).
3528:(eds.).
3505:29 March
3466:29 March
3410:(eds.).
3367:(eds.).
3315:(eds.).
3224:(eds.).
3112:(eds.).
3089:16 March
2996:16 March
2921:16 March
2905:"Fugal,
2874:(eds.).
2834:(eds.).
2789:(eds.).
2719:(eds.).
2689:16 March
2588:(eds.).
2514:16 March
2498:"Fugue,
2435:and the
2420:♭
2322:Vulfpeck
2253:Concorde
2101:♭
2093:and the
2059:timeless
1993:Falstaff
1915:♯
1888:♯
1851:♭
1735:(1775),
1731:(1773),
1727:(1769),
1723:(1768),
1407:canzonas
1359:fughetta
1353:Fughetta
1285:through
1258:♭
1245:♯
1233:Mozart's
1137:Strettos
1049:, Book 1
1012:, Book 1
984:♭
975:sequence
970:, Book 1
843:♭
701:dominant
676:dominant
429:Soprano
347:episodes
324:fughetta
266:and the
228:canzonas
45:Ricercar
18:Fughetta
4723:Subject
4632:YouTube
4621:YouTube
4610:. 1879.
4439:1173554
4406:6648908
4285:Sources
4183:YouTube
3940:(1927)
3906:(1971)
3564:(ed.).
2445:Requiem
2175:, with
2164:Requiem
2141:Bach's
1795:Requiem
1778:Jupiter
1685:No. 101
1574:toccata
1570:prelude
1420:in his
1376:History
1370:Op. 120
1263:BWV 552
1261:major,
1240:BWV 582
1141:stretto
1125:stretto
1121:stretto
1104:stretto
1095:stretto
1082:stretto
1075:Stretto
1069:Stretto
855:Episode
826:codetta
416:Subdom.
351:stretto
201:episode
174:canonic
168:In the
112:subject
88:, from
4785:Fugues
4755:Portal
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2763:29 May
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2431:, the
1920:Listen
1836:Sonata
1820:Vienna
1691:Mozart
1683:, and
1681:No. 95
1677:No. 88
1645:No. 40
1643:, and
1641:No. 13
1617:Mozart
1585:canons
1548:Mozart
1496:suites
1448:motets
1395:canons
1253:Book 2
789:fourth
709:answer
374:Second
328:fugato
316:fugare
312:fugere
230:, and
128:(i.e.
108:voices
4728:Voice
4718:Round
4703:Fugue
4688:Catch
4683:Canon
4563:Flash
4537:Score
4420:[
4298:[
3997:Verdi
3837:. In
3835:(PDF)
2565:6 May
2313:" by
2309:and "
2305:" by
2169:canon
2081:Fugue
2077:Polka
1637:No. 3
1623:Haydn
1613:Haydn
1552:Haydn
1500:gigue
1444:modal
1324:canon
1197:Types
1179:tonic
979:canon
914:minor
809:tonal
785:fifth
697:tonic
668:tonic
604:Bass
558:Alto
388:Tonic
320:fugal
300:fugue
296:fugue
209:tonic
193:voice
186:fugue
150:tonic
90:Latin
66:fugue
4670:and
4517:ISBN
4471:OCLC
4461:ISBN
4435:OCLC
4402:OCLC
4392:ISBN
4345:ISBN
4321:OCLC
4304:OCLC
4160:OCLC
4150:ISBN
4002:ISBN
3975:ISBN
3847:ISBN
3647:ISBN
3578:ISBN
3540:ISBN
3507:2007
3494:ISBN
3468:2007
3455:ISBN
3422:ISBN
3379:ISBN
3327:ISBN
3236:ISBN
3177:2007
3124:ISBN
3091:2007
3078:ISBN
2998:2007
2985:ISBN
2970:ISBN
2923:2007
2886:ISBN
2846:ISBN
2801:ISBN
2765:2019
2731:ISBN
2691:2007
2678:ISBN
2663:ISBN
2600:ISBN
2567:2008
2535:ISBN
2516:2007
2286:In "
2267:In "
2236:jazz
2162:his
2004:and
1846:and
1799:Amen
1668:and
1615:and
1475:and
1418:fuga
1405:and
1387:fuga
1187:coda
1155:and
994:mode
920:and
904:and
539:Free
391:Dom.
308:fuga
304:fuga
213:coda
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93:fuga
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4572:or
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