Keyboard Concertos by Johann Sebastian Bach

Keyboard concertos by Johann Sebastian Bach The   harpsichord harpsichord concertos, BWV   1052–1065 1052–1065,, are concertos for harpsichord harpsichord,, strings and continuo by Johann Sebastian Bach. Bach. There are seven complete concertos for a single harpsichord (BWV 1052–1058), three concertos for two harpsichords (BWV 1060–1062), two concertos for three harpsichords (BWV 1063 and 1064), and one concerto for for four harpsichords harpsichords (BWV 1065). Two other concertos include include solo harpsichord harpsichord parts: the concerto BWV 1044, which has solo parts for harpsichord, violin and flute, and  Brandenburg Concerto  No. 5 in D major, major, with the same scoring scoring.. In addition, addition, there is a nine-bar concerto fragment for harpsichord (BWV 1059) which adds an oboe to the strings and continuo. Most of Bach’s harpsichord concertos (with the exception of the 5th Brandenburg Concerto) are thought to be arrangeme arrangements nts madefr made from om earlier earlier concert concertos os for melodic melodicininstruments probably written in Köthen in  Köthen.. In many many case cases, s, only the harpsic harpsichor hordd version version has survived. survived. They They are among the first concertos for   keyboard instrument ever instrument  ever written.

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Comp Compos osit itio iona nall histo history ry and purpurpose

Engraving of the  the   Thomaskirche in Thomaskirche  in  Leipzig  Leipzig in  in 1723, the year in which Bach was appointed there. He took up residence with his   family  family in the Thomasschule the  Thomasschule on  on the left.

ered to be arrangements by Bach of previously existing works. Establishing the history or purpose of any of the harpsichord concertos, however, is not a straightforward task. task. At At present present attempts attempts to reconstru reconstruct ct the composi composition tional al history can only be at the level of plausible suggestions or conjectures, mainly because very little of Bach’s instrumental music has survived and, even when it has, sources are patchy. In particular this makes it hard not only to determine the place, time and purpose of the t he original compositions but even to determine the original key and intended instrument.[3] The harpsichord part in the autograph manuscript is not a “fair copy” but a composing score with numerous correction rections. s. The orchestr orchestral al parts on the other hand were were [2][4] executed as a fair copy. Various possible explanations have been proposed as to why Bach assembled the collection of harpsichord concertos at this particular ular time. time. One centr centres es on his his role role as direc director tor of the  in  Leipzig,, a municipal musical soCollegium Musicum  in Leipzig ciety, which gave weekly concerts at the  Café Zimmermann,, drawi mann drawing ng many many perf perform ormers ersffromstu rom stude dents nts at theuni the uni--

Johann Georg Schreiber, 1720: Engraving of Katherinenstrasse in Leipzig. Leipzig. In the centre centre is  Café   Café Zimmermann , Zimmermann , where the Collegium Musicum held weekly chamber music concerts 

The concertos for one harpsichord, BWV 1052–1059, survi survive ve in an autog autograp raphh score score,, now now held held in the Ber Berlin lin Stat Statee Library.. Based on the paper’s watermarks and the handLibrary writin writing, g, it hasbee has beenn attrib attribute utedd to 1738 1738 or 1739. 1739.[2] As Peter Peter Williams records, these concertos are almost all consid1

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Composer directing cantata from gallery in a church, engraving  from  from Musicalisches Lexicon , Johann  ,  Johann Gottfried Walther  , 1732

vers versity ity.. Bach Bach serve servedd as direc director tor from rom sprin springg 1729 1729 to sumsummer 1737; and again from October 1739 until 1740 or 1741.   John Butt suggests Butt  suggests that the manuscript was prepared for performances on Bach’s resumption as director in 1739, additional evidence coming from the fact that the manuscript subsequently subsequently remained in Leipzig. Leipzig.[5] Peter Wollny, however, considers it unlikely that The  Col would have have require requiredd orches orchestral tral parts that legium legium Musicum Musicum would were so neatly draughted; he considers it more plausible that the manuscript was prepared for a visit that Bach made to Dresden to  Dresden  in 1738 when he would almost certainly tainly have have give givenn priva private te conc concer erts ts in court court (or to the nobilnobility) and the ripieno parts would have been played by the resident orchestra.[2][6] Peter Williams has also suggested that the collection would have been a useful addition to the repertoire of his two elder sons, Wilhelm sons,  Wilhelm Friedemann and Carl Phil Philipp ipp Emanu Emanuel el,, both employ employed ed as profess profession ional al keyboa keyboard-p rd-play layers ers at the time of writing. writing. Williams Williams has also speculated that it might not be mere coincidence that the timing matched the publication of the first ever collection of keyboard keyboard concertos, the widely widely acclaimed and well-selling Organ well-selling Organ concertos, Op.4 of George of  George Frederic

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COMPOSITI COMPOSITIONAL ONAL HISTOR HISTORY Y AND PURPOSE  PURPOSE 

Handel published in London and Paris in 1738. [7] Handel published The concertos for two or more harpsichords date from a slightly slightly earlier period. period. The parts from from the Concerto Concerto for four harpsichords BWV 1065 (Bach’s arrangement of the Concerto for Four Violins, RV 580, by  Antonio Vivaldi), Vivaldi ), have been dated to around 1730. [5] Whereas the harps harpsic ichor hordd conc concert ertos os were were compo composed sed partly partly to show show-case Bach’s own prowess at the keyboard, the others were written for different purposes, one of them being as —music for domestic performance within the Hausmusik —music Bach household at the Thomaschule the  Thomaschule in  in Leipzig.   Johann Nikolaus Nikola us Fork Forkel el,, Bach’s Bach’s first biograp biographer, her, recorde recordedd in 1802 that the concertos for two or more harpsichords were played with his two elder sons. Both of them, corresponded with Forkel and both remained in the parental home home until the early 1730s: Wilhelm Wilhelm Friedemann Friedemann departed in 1733 to take up his appointment as organist at the Sophienkirche in Dresden in  Dresden;; and in 1735 Carl Philipp Emanue Emanuell move movedd to the unive universi rsity ty in Frankfurt to continue continue training for his (short-lived) legal career. There are also first-hand accounts of music-making by the entire Bach family, although these probably date from the 1740s during visits to Leipzig by the two elder sons: one of Bach’s pupils J.F.K. Sonnenkalb recorded that house-concerts were frequent and involved Bach together with his two elder sons, two of his younger sons—Johann sons— Johann Christoph Friedrich and Joha Johann nn Chri Christia stiann—aswe —as wellll as his son-in son-in-la -law w Johann Christoph Altnickol. Altnickol. It is also also known known that WilWilhelm helm Fried Friedem emann ann visite visitedd his father ather for one one month month in 1739 1739 with two distinguished lutenists (one of them was Sylvius was  Sylvius Weiss), Weiss ), which would have provided further opportunities for domestic domestic music-making. The arrangement of the organ sonatas, BWV 525–530, 525–530, for two harpsichords with each player providing the pedal part in the left hand, is also presumed to have originated as   Hausmusik , a duet for the elder sons. [8] The harpsichord concertos were composed in a manner completely idiomatic to the keyboard (this was equally true for those written for two or more harpsichords). They were almost certainly originally conceived for a small chamber group, with one instrument per desk, even if performed on one of the newly developed fortepianos developed  fortepianos,, which only gradually acquired the potential for producing a louder dynamic. The keyboard keyboard writing also conforms conforms to a practise that lasted until the early nineteenth nineteenth century, namely the soloist played along with the orchestra orchestra in  tutti  section sections, s, onlycomi only coming ng into promine prominence nce in solo passages.[9] Moveme Movements nts from from two of the harpsich harpsichord ord concertos concertos,, BWV 1052 and BWV 1053, had precursors which were instrumental sinfonias in cantatas with obbligato organ providi providing ng the melody melody instrume instrument nt (BWV 146, 146, BWV 169 and   BWV 188). 188). This This has raise raisedd hypo hypoth thet etic ical al questio questions—n ns—nev ever er to be answer answered ed conclusi conclusivel vely—as y—as to whether Bach might have conceived of these as “organ con conce certo rtos”. s”. A  Hamburg  Hamburg newspaper  newspaper reported on a recital by Bach in 1725 on the Silbermann organ in the Sophienkirche,   Dresden, Dresden, mentioning in particular that

2.1

Concerto No. 1 in D minor, BWV 1052

he had played concertos interspersed with sweet instrumental music (“diversen Concerten mit unterlauffender Doucen Instrumental-Music”). Wolff (2016) and Rampe (2014) have speculated on whether this report might refer to versions of the cantata movements or similar works; Williams (2016) describes the newspaper article as “tantalising” but considers it equally likely that in the hourlong recital Bach played pieces from his standard organ repertoire (preludes, chorale preludes) and that the reporter was using musical terms in a “garbled” way. In another direction Williams has provided a number of reasons why, unlike Handel, Bach did not compose concertos for organ and a larger orchestra: firstly, although occasionally used in his cantatas, the Italian concerto style of Vivaldi was quite distant from that of Lutheran church music; secondly, the tuning of the baroque pipe organ would jar with that of a full orchestra, particularly when playing chords; and lastly, the size of the organ loft limited that of the orchestra.[10]

3 eingehen, BWV 146 (1726); and the last movement for the opening sinfonia of  Ich habe meine Zuversicht, BWV 188 

(1728). In these cantata versions the orchestra was expanded by the addition of oboes.[12] Like the other harpsichord concertos, BWV 1052 is generally believed to be a transcription of a lost concerto composed in Cöthen or Weimar. Almost all commentators, starting with Wilhelm Rust and Philipp Spitta, think that the original melody instrument was probably the violin because of the many violinistic figurations in the solo part—string-crossing, open string techniques—all highly virtuosic. Williams (2016) has speculated that the copies of the orchestral parts made in 1734 (BWV 1052a) might have been used for a performance of the concerto with Carl Philipp Emanuel as soloist. There have been several reconstructions of the violin concerto; Ferdinand David made one in 1873; Robert Reitz in 1917; and Wilfried Fischer prepared one for Volume VII/7 of the Neue Bach Ausgabe in 1970 based on BWV 1052. In 1976, in order to resolve playability problems in Fischer’s reconstruction, Werner Breig suggested amendments based on the 2 Concertos for single harpsichord obbligato organ part in the cantatas and BWV 1052a; since then the authenticity of the violin concerto has been The works BWV 1052–1057 were intended as a set of widely accepted. [13][14][15] six, shown in the manuscript in Bach’s traditional manner beginning with 'J.J.' (Jesu juva, “Jesus, help”) and ending with 'Finis. S. D. Gl.' (Soli Deo Gloria). Aside from the Brandenburg concertos, it is the only such collection of concertos in Bach’s oeuvre, and it is the only set of concertos from his Leipzig years. The concerto BWV 1058 and fragment BWV 1059 are at the end of the score, but they are an earlier attempt at a set of works (as shown by an additional J.J.), which was, however, abandoned.[11] 2.1

Concerto No. 1 in D minor, BWV 1052

1. Allegro. 2. Adagio. 3. Allegro. Scoring:   harpsichord  solo,   violin I/II,  viola,  continuo (cello, violone) The earliest surviving manuscript of the concerto can be dated to 1734; it was made by Bach’s son  Carl Philipp Emanuel  and contained only the orchestral parts, the cembalo part being added later by an unknown copyist. This version is known as BWV 1052a. The definitive version BWV 1052 was recorded by Bach himself in the autograph manuscript of all eight harpsichord concertos BWV 1052–1058, made around 1738. [6] In the second half of the 1720s, Bach had already written versions of all three movements of the concerto for two of his cantatas with obbligato organ as solo instrument: the first two movementsfor thesinfonia andfirst choral movement of Wir müssen durch viel Trübsal in das Reich Gottes 

As Werner Breig has shown, the first harpsichord concerto Bach entered into the autograph manuscript was BWV 1058, a straightforward adaptation of the A minor violin concerto. He abandoned the next entry BWV 1059 after only a few bars to begin setting down BWV 1052 with a far more comprehensive approach to recomposing the original than merely adapting the part of the melody instrument. The concerto has similarities with Vivaldi’s highly virtuosic  Grosso Mogul  violin concerto, RV 208, which Bach had previously transcribed for solo organ in BWV 594. It is one of Bach’s greatest concertos: in the words of Jones (2013) it “conveys a sense of huge elemental power.” This mood is created in the opening sections of the two outer movements. Both start in the manner of Vivaldi with unison writing in the ritornello sections—the last movement begins as follows:

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CONCERTOS FOR SINGLE HARPSICHORD 

section in bars 84–224, and the  A′  section from bar 224 until the end. In the first movement the central section is in the keys of D minor and E minor; in the last movement the keys are D minor and A minor. As in the opening sections, the shifts between the two minor tonalities are sudden and pronounced. In the first movement Bach creates another equally dramatic effect by interrupting the relentless minor-key passages with statements of the ritornello theme in major keys. Jones describes these moments of relief as providing “a sudden, unexpected shaft of light.” The highly rhythmic thematic material of the solo harpsichord part in the third movement has similarities with the opening of the third Brandenburg Concerto. Bach then proceeds to juxtapose passages in the key of D minor with passages in A minor: in the first movement this concerns the first 27 bars; and in the last the first 41 bars. These somewhat abrupt changes in tonality convey the spirit of a more ancient modal type of music. In both movements the  A  sections are fairly closely tied to the ritornello material which is interspersed with brief episodes for the harpsichord. The central  B  sections of both movements are freely developed and highly virtuosic; they are filled with violinistic figurations including keyboard reworkings of bariolage, a technique that relies on the use of the violin’s open strings. The B  section in the first movement starts with repeated note bariolage figures:

In both B  sections Bach adds unexpected features: in the first movement what should be the last ritornello is interrupted by a brief perfidia episode building up to the true concluding ritornello; similarly in the last movement, after five bars of orchestral ritornello marking the beginning of the A′  section, the thematic material of the harpsichord introduces a freely developed 37-bar highly virtuosic episode culminating in a fermata (for an extemporised cadenza) before the concluding 12 bar ritornello. The slow movement, an Adagio in G minor and  3 4 time, is built on a ground bass which is played in unison by the whole orchestra and the harpsichord in the opening which, when they recur later, become increasingly virtu- ritornello. osic and eventually merge into brilliant filigree semidemiquaver figures—typical of the harpsichord—in the final extended cadenza-like episode before the concluding ritornello. It continues throughout the piece providing the foundations over which the solo harpsichord spins a florid and ornamented melodic line in four long episodes.

Throughout the first movement the harpsichord part also has several episodes with “perfidia”—the same half bar semiquaver patterns repeated over a prolonged period. Both outer movements are in an A–B –A′   form: the A section of the first movement is in bars 1–62, the  B   section starts with the bariolage passage and lasts from bar 62 to bar 171, the  A′  section lasts from bar 172 until the end; the A section of the final movement is in bars 1–84, the  B 

The subdominant tonality of G minor also plays a role in the outer movements, in the bridging passages between the  B  and  A′  sections. More generally Jones (2013) has pointed out that the predominant keys in the outer movements centre around the open strings of the violin.[16][17] Several hand copies of the concerto—the standard method of transmission—survive from the 18th century;

2.2

Concerto No. 2 in E major, BWV 1053

for instance there are hand copies by  Johann Friedrich Agricola around 1740, by Christoph Nichelmann and an unknown scribe in the early 1750s. Its first publication in print was in 1838 by the Kistner Publishing House.[18] The performance history in the nineteenth century can be traced back to the circle of Felix Mendelssohn. In the first decade of the 19th century the harpsichord virtuoso and great aunt of Mendelssohn,   Sara Levy, gave public performances of the concerto in   Berlin at the  Sing-Akademie, established in 1791 by the harpsichordist   Carl Friedrich Christian Fasch   and subsequently run by Mendelssohn’s teacher Carl Friedrich Zelter.[19] In 1824 Mendelssohn’s sister  Fanny performed the concerto at the same venue.[20] In 1835 Mendelssohn played the concerto in his first year as director of the Gewandhaus in Leipzig.[19] There were further performances at the Gewandhaus in 1837, 1843 and 1863. [21] Ignaz Moscheles, a friend and teacher of Mendelssohn as well as a fellow devotee of Bach, gave the first performance of the concerto in London in 1836 at a benefit concert, adding one flute and two clarinets, bassoons and horns to the orchestra. In a letter to Mendelssohn, he disclosed that he intended the woodwind section to have the “same position in the Concerto as the organ in the performance of a Mass.”  Robert Schumann subsequently described Moscheles’ reorchestration as “very beautiful.” The following year Moscheles performed the concerto at the  Academy of Ancient Music  with Bach’s original string orchestration. The   Musical World  reported that Moscheles “elicited such unequivocal testimonies of delight, as the quiet circle of the Ancient Concert subscribers rarely indulge in.” [22] Johannes Brahms later composed a cadenza for the last movement of the concerto, which was published posthumously. 2.2

Concerto No. 2 in E major, BWV 1053

1. [Allegro] 2. Siciliano 3. Allegro Scoring:   harpsichord  solo,   violin I/II,  viola,  continuo (cello, violone). Like the other harpsichord concertos, BWV 1053 is generally agreed to be a transcription of a lost instrumental concerto. As with BWV 1052, all the movements had previous incarnations in Leipzig cantatas written ten or more years prior to the 1738 or 1739 autograph manuscript, with the part of the melody instrument written for obbligato organ. The first and second movements of BWV 1053 corresponds to the opening  Sinfonia  (in D major) and alto aria “Stirb in mir, Welt” (in B minor) in Gott soll allein mein Herze haben, BWV169 ; and thefinale to the opening Sinfonia (in E major) in Ich geh und suche mit Verlangen, BWV 49 . The cantatas, part of a series

5 where Bach developed the obbligato organ as a chamber or orchestral instrument, were first performed in October and November 1726 in the Thomaskirche, within two weeks of each other. The scoring in BWV 169 includes two oboes and a taille as ripieno instruments in the sinfonia and an oboe d'amore in the aria. In the aria, the lines of the alto soloist and organ weave around each in what Alfred Dürr has described as “undoubtedly one of the most inspired vocal pieces that Bach ever wrote ... a passionate submersion in heavenly love.”

As Wolff (1994) comments, this shows the subtleties in Bach’s process of arrangement. In this case the superposition of the additional vocal line over the keyboard part “aims at the exploration, enrichment and perfection of the original compositional material.” An oboe d'amore was also added as a ripieno instrument in the sinfonia of BWV 49.[23] Since Ulrich Siegele’s 1957 dissertation, where he suggested that BWV 1053 originated in either a flute concerto in F major or oboe concerto in E♭ major, a number of reconstructions for different melody instruments have been proposed, all discussed in Breig (2001): Hermann Töttcher & Gottfried Müller (in F major for oboe, 1955); by Wilfried Fischer (in E♭ major for oboe, 1966, and viola, 1996); by  Joshua Rifkin   (in E♭ major for oboe, 1983); by Arnold Mehl (in D major for oboe d'amore. 1983): and by Bruce Haynes (in D major for oboe d'amore, 1998). Further discussions concerning the possible original form of the concerto can be found in Butler (2008), Wolff (2008), and Rampe (2013). In Wolff (2016), problems with all the reconstructions are mentioned: for woodwind instruments, breathing problems created by long uninterrupted passages of semiquaver triplets in the third movement; and for the viola, the complete absence of string-like figurations in the whole concerto. Given the occurrence of all three movements in 1726 cantatas, he has suggested that the concerto might originally have been composed for an unspecified keyboard instrument—interchangeably a harpsichord or an organ depending on the venue—and that it might have been one of the pieces played during Bach’s recital on the Silbermann organ in the Sophienkirche, Dresden in September 1725.[24] The harpsichord part in the first movement of BWV 1053 differs from the 1726 organ part in several ways in the solo passages: in the right hand the melody line became far more elaborate and ornamental; and in the left hand the figured bass line was replaced by a denser texture of

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fully worked out figures and chords—the left hand was “emancipated” in the words of Wolff (2002). At the same time in the orchestral parts, Bach reduced the contributions of the lower strings and adjusted the contributions from upper strings to create a proper balance with the harpsichord, with none of the string parts doubled except for the bass instruments. The lighter scoring permitted counterpoint between the first violin and the harpsichord in solo episodes. This method of adaptation—in the style of Bach’s full maturity—was a departure from that used for BWV 1052 and was employed in the subsequent concertos BWV 1054–1057.[25]

sichord solo; between phrases the first violin plays a brief reprise in C♯ minor of the opening semiquaver motif of the ritornello. The episode culminates in a semiquaver passage over an extended G♯ pedal point and an Adagio cadence and fermata in C♯ minor. The movement then resumes with a recapitulation of the whole of section A.[26]

The musical structure of the first movement of BWV 1053—concisely written but complex in its many intricate and ingenious details—has been analysed in  Berger (1997) and Rampe (2013). The movement combines the strict da capo  A –B –A form of an aria with the ritornello structure of a concerto. Section  A  comprises 62 bars. In the opening eight-bar ritornello, the harpsichord initially plays as part of the ripieno, taking the first violin part in the right hand and the continuo in the left. After this tutti opening the harpsichord follows its own course, responding with a nine-bar episode that introduces its own material.

The slow movement in C minor and  12 8  time is a Siciliano, which Jones 2013 has described as beautiful and haunting. In da capo form, the sustained string ritornello is accompanied by the harpsichord with an explicit realisation of the figured bass by gentle broken chord semiquavers. After the opening ritornello, the harpsichord, accompanied by detached quaver chords in the strings, plays its own melodic line spun out in two long increasingly ornamented phrases, the second of which merges into the semiquaver accompaniment of the closing ritornello.[27]

There are three further ritornello passages with two intermittent responses in solo episodes for the harpsichord. Bach devised the harpsichord’s rhythmic thematic material as a contrasting counter-theme to the semiquaver motifs at the head of the ritornello. In each reprise the scoring of the ritornello is varied: the harpsichord alternates between its own counter-theme andthat of theopening ritornello; it plays increasingly brilliant variants of its own material—eventually including joyful dactyl motifs—in counterpoint to the semiquaver violin theme. The middle section B  is 51 bars long and is mostly in the minor mode, beginning in F♯ minor. There are three solo episodes for harpsichord punctuated by two reprises of the orchestral ritornello, first in F♯ (bar 69) and then in its relative major key, A major (bar 81). Less tied to the ritornello, the harpsichord freely develops its own material, which is derived from that of section  A . The third and longest episode of 27 bars begins in bar 86 and remains centred on the tonality of C♯ minor. The strings provide a simple accompaniment to the long phrases of the extended harp-

The third movement of BWV 1053 is a sprightly and dance-like allegro in E major and  3 8  time. Like the first movement, its concise and ingenious compositional form combines the da capo structure of an aria with the ritornello structure of a concerto; it also has similarly light scoring in the orchestral parts to create a proper balance between harpsichord and strings. Although the overall structure is similar to that of the first movement, the alternations between concertato soloist and ripieno are more frequent and complex. Rather than the concertos of Vivaldi, Gregory Butler has suggested that this movement is closer in form and style to the concertos of another of Bach’s Italian contemporaries, the Venetian composer Tomaso Albinoni. Butler has made a detailed study of Albinoni’s two sets of twelve  concerti  a cinque, Op.7 (1715) and Op.9 (1722), each set having four violin concertos, four oboe concertos and four double oboe concertos, and has proposed the last movement of the double oboe concerto op.9, No.3 as a possible precursor of BWV 1053/3.

2.3

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Concerto No. 3 in D major, BWV 1054

Bach’s third movement is written in strict da capo  A–B – A form, with 137 bars in the  A  section and 122 in the  B  section. The opening eighteen-bar ritornello has an introductory section or Vordersatz of four bars: the strings play the “head” motif—three quavers, four semiquavers and a quaver—in canon commencing in the first violin, then the second and then the viola. This rhythm is repeated in the first eight bars of the ritornello. Below the strings andthe only instrument starting themovement, the harpsichord plays an introductory flourish of arpeggiated semiquaver triplets filling in the harmonies and spanning almost the entire keyboard. In the remainder of the ritornello the harpsichord doubles the first violin part in the right hand and the continuo in the left.

The harpsichord then begins its own thematic material in the first solo episode. At first it plays only the first four bars as a brief declamation, which elicits the ritornello’s Vordersatz  as a response. This is followed by a reprise by the harpsichord of the new thematic material, now extended to a sixteen bar episode.

body (Vorspinnung) and concluding part (Epilog) of the ritornello, with the harpsichord once more doubling the first violin and continuo parts. In section B , which immediately follows, Bach breaks with tradition: now in the relative minor, G♯ minor, he introduces in the first solo harpsichord episode a highly contrasting chromatic theme accompanied by characteristic semiquaver figures in the left hand.

Of 38 bars in length and punctuated by fragmentary responses from the strings, the solo episode modulates through the keys of B major and C♯ minor to a cadence in F♯ minor. It is followed by a sequence of short passages alternating between ritornello material and solo material for the harpsichord drawn from both section  B   (semiquaver figures) and then section A (the beginning of the harpsichord theme). The ritornello segments move from F♯ minor to E major, the final segment modulating from F minor to B major and then E major. The next twelve bar solo episode continues with and develops the harpsichord’s thematic material from section A, modulating from E major, to B major and then to the distant key of D♯ major. The 4-bar  Vordersatz  from the ritornello is then played in this key, then in G♯ major, reaching the key of C♯ minor. Section  B   ends symmetrically with an extended 33-bar solo episode, a variant of the long chromatic episode with which it began, After modulating through the keys of G♯ minor, C♯ minor and D♯ minor, the movement briefly halts in the manner of a Scarlatti da capo aria with a cadence to the mediant key of G♯ minor. The music resumes with a capitulation of section  A.[28]

2.3

This episode is followed by a reprise of the entire 18bar ritornello in the dominant key of B major. In this reprise the lower string parts are pruned; now the right hand of the harpsichord part provides the counterpoint to the first violin part that instead of the secondviolin and viola; and the left hand plays its own semiquaver figuration in tandem with the continuo line. There are two further episodes for the harpsichord in which its own material is developed with passagework in semiquavers, in semiquaver triplets and in parallel and contrary motion semiquavers in both hands. These are separated by a shortened version of the ritornello and followed by a full version, with its last two bars pruned down to harpsichord and first violin. Section A concludes, following the traditional pattern establishedby Albinoni, with a repetition of the main

Concerto No. 3 in D major, BWV 1054

See also: Violin Concerto in E major (Bach) Scoring:   harpsichord  solo,   violin I/II, viola,   continuo (cello, violone) Length: c. 17 minutes The surviving violin concerto in E major, BWV 1042 was the model for this work, which was transposed down a tone to allow the top note E6  to be reached as D 6 , the common top limit on harpsichords of the time. The opening movement is one of the rare Bach concerto first movements in da capo  A–B–A form. In 1845   Ignaz Moscheles   performed the concerto in London.[29]

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CONCERTOS FOR SINGLE HARPSICHORD 

Concerto No. 4 in A major, BWV 1055

1. Allegro 2. Larghetto 3. Allegro ma non tanto Scoring:   harpsichord  solo,   violin I/II,  viola,  continuo (cello, violone) Unlike the other harpsichord concertos, BWV 1055 has no known precursors, either as an instrumental concerto or as a movement with obbligato organ in a cantata. It has generally been accepted that it is a reworking of a lost instrumental concerto, since Donald Francis Tovey first made the suggestion in 1935, when he proposed the oboe d'amore as the melody instrument. Additional reasons for the oboe d'amore have been given by Ulrich Siegele in 1957, Wilfried Fischer in 1970, Hans-Joachim Schulze in 1981 and Werner Brieg in 1993; Schulze has dated the original concerto to 1721; and a reconstruction as a concerto for oboe d'amore and strings was prepared by Wilfried Fischer in 1970 for Volume VII/7 of the Neue Bach Ausgabe edition. Another proposed instrument has been the viola d'amore, first suggested by Wilhelm Mohr in 1972; additional reasons for choosing the viola d'amore as a possible melody instrument were later given by Hans Schoop in 1985 and Kai Köpp in 2000; but in 2008 Dirksen gave reasons why he considered it unlikely to have been the original melody instrument.[30]

As Breig (1999) explains in his preface to the Neue Bach Ausgabe edition, in compositional terms, BWV 1055 is one of the most concentrated and mature of Bach’s concertos. The opening movement is an Allegro in A major and . Itis written inda capo A–B –A′   form. Mostly light and nimble in spirit, the movement starts with a 16 bar ritornello broken up into two halves, each 8 bars long. In the first solo episode, the harpsichord introduces its own more sustained thematic material as well as semiquaver passagework derived from the end of the second half of the ritornello. All the harpsichord solo passages arebased on or develop this thematic material.

The two bar “motto” or   Vordersatz  opening the ritornello, consisting of rhythmic  spiccato  quaver figures in thestrings andcascading broken chord semiquavers in the harpsichord, recurs throughout the movement, heralding solo episodes for the harpsichord. In the remainder of  A section, the second episode is introduced by the two bar motto and followed by a reprise of the entire first half of the ritornello. Section B  starts with an 8-bar solo episode and has three more solo episodes, punctuated by the twobar ritornello motto. In the second bar of the first episode the sustained harpsichord material is heard in counterpoint to the motto theme in the strings, now starting in the middle of a bar. The second and third episode are 6 bars long in E major/F♯ minor and B minor/C♯ minor. The fourth and longest, which ends section  B , is 12 bars long, starting in C♯ minor and ending back in the tonic key of A major. Section A′  starts at bar 79 with what sounds like a reprise of the ritornello—the two-bar motto in its original key; but, as Bach did in many of his concertos, it is interrupted by a solo episode for harpsichord—a variant of the episode introducing section B —before the true reprise of the complete ritornello that concludes the movement.[31] Larghetto BWV 1055/2 (4:39) The slow movement of BWV 1055 is a highly expressive Larghetto in F minor and  12 8  time. Although it does not have the dotted rhythms of a siciliano, it is close in spirit to this melancholy dance-form. The movement is pervaded by the chromatic fourth—both falling and rising—which is associated with the lamento. It is first heard in the descending bass line of the opening two bar ritornello, which frames the work. The material between the opening and closing the ritornellos is freely developed, but nevertheless has some elements of sonata form, most significantly a division into two parts with the second part starting in the relative major key (bars 3–13 and bars 14–36).

2.4

Concerto No. 4 in A major, BWV 1055

In the opening ritornello, the motifs in the first violin part involve a dramatic downward drop in register onto chromatic notes which break the harmony. The lilting rhythms of the first violin and the slower rhythms of the middle strings continue throughout the movement as a form of quasi-ostinato, repeating every two bars. As with the other concertos, the harpsichord plays as a continuo instrument during the orchestral ritornellos.[32] The harpsichord enters with its own material in the third bar. The material in a long four bar phrase contrasts with the monumental ritornello, with an expressive melodic line of legato semiquaver figures weaving between long sustained notes, either played off the beat or approached through sighing appoggiaturas. Further dynamical contrast is created by the lowest string parts falling silent, the bass line being provided just by the harpsichord: until halfway through the second part (bar 23), the accompaniment is provided only by the two violins and viola, marked  piano. After the first solo episode, which modulates from F♯ minor to C charp minor, a modified version of the ritornello is heard again, but now with the chromatic fourth rising in the bass line. It serves as a bridge passage during which the tonality modulates back to F♯ minor. At that point the true opening ritornello is heard once more, but now as a counterpoint to the beginning of the second solo episode of the harpsichord. Now extended to six bars, it leads up to a cadence in C♯ minor marking the end of the first part; the lowest strings briefly punctuate the cadence.

At bar 14, the beginning of the second part, the harpsichord begins a long 8-bar passage in the key of A major, the relative major key, introducing the  Sietensatz its second thematic material. For two bars, in contrast to the first and second episodes, it plays sustained notes on the beat followed by semiquavers, with a left hand accompaniment of descending quaver triads in major keys. The accompanying ritornello figures in the upper and middle string accompaniment are inverted and played in unison during the first two baes. After two bars, the episode returns to the minor mode with two bars of semiquaver figures, which are repeated two bars later a minor third higher. This culminates in two bars where the music is at its most intense: the upper and middle strings playing

9 a variant of the original uninverted ritornello theme; in the harpsichord a descending chromatic fourth in the left hand plays beneath sighing figures reprised from the first episode which descend to a closing cadence in B minor. At the cadence there is a full orchestral tutti—the lowest strings once more joining the ripieno section—in a version of the opening ritornello, but now with a rising chromatic fourth in the top notes of the first violin, as the key modulates to F♯ minor. The harpsichord enters with a five bar episode formed by three phrases starting on sustained notes off the beat: the first three bars long with a falling chromatic fourth in the left hand of the hand harpsichord; the second and third, fragmentary one bar statements. These lead into a full recapitulation of the eightbar  Seitensatz, but now with darker colours: the harpsichord starts lower down in the key of D major and the left hand part is joined by the lowest strings. At the end of this episode, back once more in the home tonality of F minor, the movement concludes with a reprise of the opening ritornello.[33] The third movement of BWV 1055, marked Allegro ma non tanto, is in A major and the lively tempo of 3 8  time. Lightly scored and written in a similarly compact style to the first movement, it begins and ends with an orchestral ritornello; and, like the first movement, it is written in da capo  A –B –A′   form. Section  A  occupies bars 1–82; section B , which starts in the dominant key of E major and ends in the mediant key of C♯ minor, comprises bars 83–138; and the reprise  A′  takes place in bars 139–200. The opening 24-bar ritornello is rhythmic and dance-like; it is broken up into four bar segments and contains a wide variety of thematic material. The main theme is played by the first violin part, which the harpsichord doubles in the right hand while playing the continuo bass in the left hand.

The florid style of the four-bar  Vordersatz  or “motto” of the ritornello is noteworthy for its flurries of rapid semidemiquaver scales. The  Vordersatz  is answered by a four bar phrase of semiquaver motifs in sequence. The remainder of the ritornello repeats this material until the concluding  Epilog  (bars 20–24) which has a sequence of one-bar figures in dotted rhythm incorporating joyful dactyls. The music of the ritornello, including the different quaver figures in the accompaniment, is re-used throughout the rest of the movement, the thematic material recurring mostly in shortened fragments. After the ritornello, the harpsichord enters in the first of

10

2

CONCERTOS FOR SINGLE HARPSICHORD 

its solo episodes, 16 bars long. Its new melodic mate- 2.5 Concerto No. 5 in F minor, BWV 1056 rial contrasts with the ritornello, with sustained notes and 1. Allegro moderato graceful ornamentation typical of the galant style, at first accompanied only by repeated quavers in the left hand 2. Largo and upper strings. 3. Presto

The ripieno section responds with one of the later segments of the ritornello; this is followed by a shorter episode for harpsichord which incorporates semiquaver motifs from the ritornello; and the ripieno responds with a variant of the semidemiquaver motto. After this dialogue, a second extended solo episode introduces new semiquaver triplet scale figures in the harpsichord, accompanied by detached quavers in the strings derived from the ritornello.

Scoring:   harpsichord  solo,   violin I/II, viola,   continuo (cello, violone) Length: c. 10 minutes The outer movements probably come from a violin concerto which was in G minor, and the middle movement is probably from an oboe concerto in F major; this movement is also the sinfonia to the cantata Ich steh mit einem Fuß im Grabe, BWV 156. This middle movement closely resembles the opening Andante of a Flute Concerto in G major (TWV 51:G2) by  Georg Philipp Telemann; the soloists play essentially identical notes for the first two-and-a-half measures. Although the chronology cannot be known for certain, Steven Zohn has presented evidence that the Telemann concerto came first, andthat Bach intended his movement as an elaboration of his friend Telemann’s original.[35]

This is followed by another dialogue between soloist and ripieno based on the ritornello material. It ends with the harpsichord doubling the highest and lowest string 2.6 Concerto No. 6 in F major, BWV 1057 parts—the “unison” method by which Bach incorporates the soloist in the ripieno—bringing section A to a close in See also: BWV 1049 the dominant key of E major. In section B the thematic material from section A is devel- 1. Allegro oped more freely in the harpsichord part with semidemiquaver figures modified to semiquaver triplets. There is 2. Andante further dialogue between harpsichord and orchestra fol3. Allegro assai lowed by an extended episode with semiquaver triplet passagework in the relative minor key, F♯ minor. Scoring:   harpsichord solo, flauto dolce (recorder) I/II, violin I/II, viola, continuo (cello, violone) Length: c. 17 minutes An arrangement of   Brandenburg Concerto  No. 4, BWV 1049, which has a concertino of violin and two recorders. Leaving the flute parts unchanged, Bach wrote the harpThis is followed by an eight-bar “unison” ritornello mod- sichord part as a combination of the violin material from ulating from F♯ minor to C♯ minor. Section B  concludes the original concerto and a written out continuo.[36] with a second extended solo episode in the mediant key of C♯ minor, during which the orchestral ritornello material is heard over a harpsichord trill and in counterpoint 2.7 Concerto No. 7 in G minor, BWV 1058 before the cadence. The recapitulation section A′ , back in the tonic and dom- See also: Violin Concerto in A minor (Bach) inant keys, begins with the first six bars of the ritornello, the harpsichord doubling the strings. This is interrupted by two last solo episodes for the harpsichord, abridged 1. Allegro from section A and punctuated by a short ritornello motif 2. Andante in the strings. The movement concludes with a complete [34] reprise of the opening ritornello. 3. Allegro assai

3.2

Scoring:   harpsichord  solo,   violin I/II,  viola,  continuo (cello, violone) Length: c. 14 minutes Probably Bach’s first attempt at writing out a full harpsichord concerto, this is a transcription of the violin concerto in A minor, BWV 1041, one whole tone lower to fit the harpsichord’s range. It seems Bach was dissatisfied with this work, the most likely reason being that he did not alter the ripieno parts very much, so the harpsichord was swamped by the orchestra too much to be an effective solo instrument.[11] Bach did not continue the intended set, which he had marked with 'J.J.' (for  Jesu juva, “Jesus, help”) at the start of this work, as was his custom for a set of works. He wrote only the short fragment BWV 1059.[11] In 1845 Ignaz Moscheles performed the concerto in London.[29] 2.8

11

Concerto in C major, BWV 1061

Concerto in D minor, BWV 1059 (fragment)

The subtle and masterful way in which the solo instruments blend with the orchestra marks this out as one of the most mature works of Bach’s years at Köthen. The middle movement is a cantabile for the solo instruments with orchestral accompaniment. 3.2

Concerto in C major, BWV 1061

1. Allegro 2. Adagio ovvero Largo 3. Fuga Scoring: harpsichord I/II solo, violin I/II, viola, continuo (cello, violone) Length: c. 19 minutes Of all Bach’s harpsichord concertos, this is probably the only one that originated as a harpsichord work, though not in an orchestral guise. The work originated as a concerto for two harpsichords unaccompanied (BWV 1061a, in the manner of the  Italian Concerto, BWV 971 ), and the addition of the orchestral parts may not have been by Bach himself. The string orchestra does not fulfill an independent role, and only appears to augment cadences; it is silent in the middle movement. The harpsichords have much dialogue between themselves and play in an antiphonal manner throughout.

Scored for harpsichord, oboe and strings in the autograph manuscript, Bach abandoned this concerto after entering only nine bars. As with the other harpsichord concertos that have corresponding cantata movements (BWV 1052, 1053 and 1056), this fragment corresponds to the opening sinfonia of the cantata Geist und Seele wird verwirret, BWV 35, for alto, obbligato organ, oboes, taille and strings. Rampe (2013) summarisesthe musicological 3.3 Concerto in C minor, BWV 1062 literature discussing the possibility of a lost instrumental concerto on which the fragment and movements of the See also: Concerto for Two Violins (Bach) cantata might have been based. A reconstruction of an oboe concerto was made in 1983 by Arnold Mehl with the two sinfonias from BWV 35 as outer movements and 1. Vivace the opening sinfonia of BWV 156 as slow movement.[37] 2. Largo ma non tanto

3

Concertos for two harpsichords

3.1

Concerto in C minor, BWV 1060

1. Allegro 2. Adagio 3. Allegro

3. Allegro assai Scoring: harpsichord I/II solo, violin I/II, viola, continuo (cello, violone) Length: c. 15 minutes The well-known Double Violin Concerto in D minor, BWV 1043 is the basis of this transcription. It was transposed down a tone for the same reason as BWV 1054, so that the top note would be D6 .

Scoring: harpsichord I/II solo, violin I/II, viola, continuo (cello, violone) 4 Concertos for three harpsichords Length: c. 14 minutes While the existing score is in the form of a concerto for 4.1 Concerto in D minor, BWV 1063 harpsichord and strings, Bach scholars believe it to be a transcription of a lost double concerto in D minor; a 1. [no tempo indication] reconstructed arrangement of this concerto for two violins or violin and oboe is classified as BWV 1060R. [38] 2. Alla Siciliana

12

6

CONCERTOS FOR HARPSICHORD, FLUTE, AND VIOLIN 

3. Allegro Scoring:   harpsichord   I/II/III solo,   violin   I/II,   viola, continuo (cello, violone) Length: c. 14 minutes Scholars have yet to settle on the probable scoring and tonality of the concerto on which this was based, though they do think it is, like the others, a transcription. Bach’s sons may have been involved in the composition of this work. They may have also been involved in the performances of this particular concerto, as Friedrich Konrad Griepenkerl wrote in the foreword to the first edition that was published in 1845 that the work owed its existence “presumably to the fact that the father wanted to give his two eldest sons, W. Friedemann and C.Ph. Emanuel Bach, an opportunity to exercise themselves in all kinds of playing.” It is believed to have been composed by 1733 at the latest.[39] In the mid-nineteenth century the concerto, advertised as Bach’s “triple concerto”, became part of the concert repertoire of Felix Mendelssohn and his circle. On May 1837, Ignaz Moscheles performed it for the first time in the UK, with Sigismond Thalberg and Julius Benedict in his own concert at the King’s Theatre. Instead of performing the triple concerto on harpsichords, the performed it instead on three Erard grand pianofortes. In 1840, Mendelssohn performed it with Franz Liszt and Ferdinand Hiller at the Gewandhaus in Leipzig, where he was director. The programme also included Schubert’s “Great” C Major Symphony and some of his own orchestral and choral compositions;   Robert Schumann described the concert as “three joyous hours of music such as one does not experience otherwise for years at a time.” The concerto was repeated later in the season with Clara Schumann and Ignaz Moscheles as the other soloists. Mendelssohn also played the concerto in 1844 in the Hanover Square Rooms in London with Moscheles and Sigismond Thalberg. Charles Edward Horsely recalled Mendelssohn’s “electrical” cadenza in a memoire of 1872 as “the most perfect inspiration, which neither before nor since that memorable Thursday afternoon has ever been approached.” Moscheles had previously performed the concerto in 1842 at Gresham College in the East End of London with different soloists. After a performance in Dresden in 1845 with Clara Schumann and Hiller, Moscheles recorded in his diary, “My concert today was beyond all measure brilliant ... Bach’s Triple Concerto made a great sensation; Madame Schumann played a Cadenza composed by me, Hiller and I extemporized ours.”[40] 4.2

Concerto in C major, BWV 1064

1. Allegro 2. Adagio

3. Allegro assai Scoring:   harpsichord   I/II/III solo,   violin   I/II,   viola, continuo (cello, violone) Length: c. 17 minutes This concerto was probably based on an original in D major for three violins. A reconstructed arrangement of this concerto for three violins in D major is classified as BWV 1064R. In both forms this concerto shows some similarity to the concerto for two violins/harpsichords, BWV 1043/1062, in the interaction of the concertino group with the ripieno and in the cantabile slow movement.

5

Concerto in A minor for four harpsichords, BWV 1065

See also: L'estro Armonico 1. Allegro 2. Largo 3. Allegro Scoring:   harpsichord I/II/III/IV solo,   violin I/II, viola, continuo (cello, violone) Length: c. 10 minutes Bach made a number of transcriptions of  Antonio Vivaldi's concertos, especially from his op.3 set, entitled L'estro Armonico. Bach adapted them for solo harpsichord and solo organ, but for the Concerto for 4 violins in B minor, op.3 no.10, RV 580, he decided upon the unique solution of using four harpsichords and orchestra. This is thus theonly harpsichord concerto by Bach which was not an adaptation of his own material. In the middle movement, Bach has the four harpsichords playing differentlyarticulated arpeggios in a very unusual tonal blend, while providing some additional virtuosity and tension in the other movements.

6

Concertos for harpsichord, flute, and violin

6.1

Concerto in A minor, BWV 1044

1. Allegro 2. Adagio ma non tanto e dolce 3. Alla breve Concertino: harpsichord, flute, violin

6.1

Concerto in A minor, BWV 1044

13 might have been intended for Frederick, a keen flautist who employed Bach’s son Carl Philipp Emanuel as court harpsichordist; this could imply a later date of composition. Some commentators have questioned the authenticity of the work, although it is now generally accepted.[42] The concerto is an example of the “parody technique”— the reworking in new forms of earlier compositions—that Bach practised increasingly in his later years. [43] The first and third movements are adapted from the prelude and fugue in A minor for harpsichord, BWV 894, a large scale work from Bach’s period in Weimar: [44]

Title page of hand copy of the concerto made by Bach’s pupil  Johann Friedrich Agricola. The manuscript bears the watermark  of  Frederick the Great . Acquired by the Sing Akademie in Berlin, the title page was written by its director  Carl Friedrich Zelter  who noted in pencil that the harpsichord part had been lent to the harpsichordist   Sara Levy , great aunt of  Felix Mendelssohn , on 29 May 1831[41]

Ripieno: violin, viola, cello, violone, (harpsichord) In this concerto for harpsichord, flute and violin, occasionally referred to as Bach’s “triple concerto”, the harpsichord has the most prominent role and greatest quantity of material. Except for an additional ripieno violin part, the instrumentation in all three movements is identical to that of Brandenburg Concerto No.5 in D major, BWV 1050. Arranged from previous compositions, the concerto is generally considered to date from the period 1729–1741 when Bach was director of the Collegium Musicum in Leipzig and was responsible for mounting weekly concerts of chamber and orchestral music in the Café Zimmermann. Wollny (1997) and Wolff (2007) contain a comprehensive discussion of the concerto, including its history and questions of authenticity. Because one of the earliest surviving manuscripts comes from the library of Frederick the Great and because of post-baroque galant aspects of the instrumental writing— fine gradations in the dynamical markings ( pp, p, mp, mf,  f ), the wider range of the harpsichord part as well as frequent changes between pizzicato and arco in the strings— Wollny has suggested that the arrangement as a concerto

The prelude and fugue have the structure of the first and last movements of an Italian concerto grosso, which has led to suggestions that they might be transcriptions of a lost instrumental work. In the concerto BWV 1044, Bach reworked both the prelude and fugue around the harpsichord part by adding ripieno ritornello sections.[45] In the first movement there is an eight bar ritornello that begins with the opening semiquaver motif of the prelude, which is then heard in augmented form before breaking into distinctive triplet figures:

This newly composed material, which recurs throughout the movement, creates a contrast with that of the soloists, much of which is directly drawn from the original prelude, especially the harpsichord part. Like the first movement of Brandenburg Concerto No. 5, the virtuosic harpsichord part takes precedence, with some passages from the original extended, some played solo and some omitted. In the solo episodes the flute and violin provide a “small ripieno” accompaniment to the harpsichord, contrasting with the “large ripieno” of the orchestral strings in the tutti   sections.[46] The last movement of the concerto begins with a fugue subject in crotchets and minims in the viola and the bass

14

6

CONCERTOS FOR HARPSICHORD, FLUTE, AND VIOLIN 

line of the harpsichord and a countersubject which provides the material for the orchestral ritornello and transforms the original fugue BWV 894/2 into a triple fugue:

As  Mann (1995)   comments, Bach’s son Carl Philipp Emanuel related to his biographer   Johann Nikolaus Forkel how his father took pleasure in converting trios into quartets ex tempore (“aus dem Stegereif”): BWV 1044/2 is a prime example. Bach created a complex texture in this movement by juxtaposing the detached melody in theharpsichord with a parallel sustained melody in thirds or sixths in the violin or flute; and in contrast a further layer is added by the delicate pizzicato accompaniment in the fourth voice, —first in the violin and then echoed by the flute—which comes close to imitating the timbre of the harpsichord.[43] At bar 25 the harpsichord enters with the main fugue 6.2 Concerto in D major, BWV 1050 (Brandenburg Concerto No. 5) subject from BWV 894/2—a  moto perpetuo in triplets— overlaid by the countersubject of the ritornello. Further information: BWV 1050 1. Allegro 2. Affettuoso 3. Allegro The fugue subject in the ritornello is “hidden” in the main fugue subject (“soggetto cavato dalle note del tema”): its constituent notes—A, F, E, D, C, B, A, G♯, A, B—can be picked out in each of the corresponding crotchet and minim groups of triplets in the main subject. Other departures from BWV 894/2 include a number of virtuosic passages in the harpsichord, with demisemiquaver runs, semiquavers in the triplets and finally semiquavers replacing the triplets, culminating in a cadenza for the harpsichord. [47] The middle movement is a reworking and transposition of material from the slow movement of the sonata for organ in D minor, BWV 527; both movements are thought to be based on a prior lost composition. Like the slow movement of the fifth Brandenburg Concerto, the slow movement of BWV 1044 is scored as a chamber work for the solo instruments. In binary form, the harpsichord alternates in repeats between upper and lower keyboard parts of BWV 527/2; the other melodic keyboard part is played alternately byflute or violin, whiletheother instrument adds a fragmentary accompaniment in semiquavers (scored as pizzicato for the violin).

Concertino: harpsichord, violin, flute Ripieno: violin, viola, cello, violone, (harpsichord) The harpsichord is both a concertino and a ripieno instrument: in the concertino passages the part is obbligato; in the ripieno passages it has a figured bass part and plays continuo. This concerto makes use of a popular chamber music ensemble of the time (flute, violin, and harpsichord), which Bach used on their own for the middle movement. It is believed that it was written in 1719, to show off a new harpsichord by Michael Mietke which Bach had brought back from Berlin for the Cöthen court. It is also thought that Bach wrote it for a competition at Dresden with the French composer and organist Louis Marchand; in the central movement, Bach uses one of Marchand’s themes. Marchand fled before the competition could take place, apparently scared off in the face of Bach’s great reputation for virtuosity and improvisation. The concerto is well suited throughout to showing off the qualities of a fine harpsichord and the virtuosity of its

15 player, but especially in the lengthy solo 'cadenza' to the first movement. It seems almost certain that Bach, considered a great organ and harpsichord virtuoso, was the harpsichord soloist at the premiere. Scholars have seen in this work the origins of the solo keyboard concerto as it is the first example of a concerto with a solo keyboard part.[48][49] An earlier version, BWV 1050a, has innumerable small differences from its later cousin, but only two main ones: there is no part for cello, and there is a shorter and less elaborate (though harmonically remarkable) harpsichord cadenza in the first movement. (The cello part in BWV 1050, when it differs from the violone part, doubles the left hand of the harpsichord.)

7

Notes

[14]  Rampe 2013, pp. 264–270, 372–375 [15]  Wolff 2016, p. 67 [16]  Jones 2013, pp. 258–259, 267 [17]  Rampe & 2013 268–270 [18]  Rampe 2013, p. 272 [19]   Christoph Wolff. “A Bach Cult in Late-EighteenthCentury Berlin: Sara Levy’s Musical Salon” in Bulletin of  the American Academy. Spring 2005. pp. 26–31. [20]  Kroll 2014, p. 264 [21]   Alfred Dörffel. “Statistik der Concerte im Saale des Gewandhauses zu Leipzig” p. 3, in   Geschichte der  Gewandhausconcerte zu Leipzig vom 25. November 1781 bis 25. November 1881: Im Auftrage der ConcertDirection verfasst .  Leipzig, 1884.

[22]  Kroll 2014, pp. 265–266 [1]  Rampe 2013, p. 357 The translation is taken from Spitta (1899), pp. 136–137 [23] See: [2] Peter Wollny, “Harpsichord Concertos,” booklet notes for Andreas Staier's 2015 recording of the concertos, Harmonia mundi HMC 902181.82 [3]  Williams 2016, pp. 264–265 [4] Breig, Werner (1997), “Composition as Arrangement and Adaptation”, in John Butt,   The Cambridge Companion to Bach,  Cambridge University Press, p. 168,   ISBN 0521587808

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[24] See: •

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[5]  Butt, John (1999), “Harpsichord Concertos”, in Malcolm Boyd; John Butt,   Oxford Composer Companion: J. S. Bach, Oxford University Press, p. 209, ISBN 978-0-19866208-2 [6]  Rampe 2013, pp. 368–375 [7]  Williams 2016, p. 269 [8]  Williams 2016, pp. 368–369 [9]  Wiliams 2016, pp. 365–366

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 Wolff 2008  Wolff 2016  Rampe 2014  Williams 2016, pp. 370–371, 376

[11]  Butt, John, ed. (1997). The Cambridge Companion to Bach. Cambridge Companions to Music. Cambridge University Press. p. 167ff. ISBN 9780521587808.

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 Breig 1999, p. XIII  Rampe 2013, p. 293–294  Wolff 2002, p. 389 (Wolff 2008  Williams 2016, pp. 367–368  Wolff 2016

[26] See • •

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[12]  André Isoir (organ) and Le Parlement de Musique conducted by Martin Gester. Johann Sebastian Bach:  L'oeuvre pour orgue et orchestre.   Calliope 1993. Liner [27] See: notes by Gilles Cantagrel.

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[13] Butt, John (1999), “Harpsichord Concertos”, in Malcolm Boyd; John Butt,   Oxford Composer Companion: J. S. Bach, Oxford University Press, p. 2010, ISBN 978-0-19866208-2

 Siegele 1957  Rampe 2013, pp. 286–296, 375–377  Williams 2016, pp. 367–368  Wolff 2016  Butler 2008  Breig 2001  Haynes 2001, p. 389–390

[25] See

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[10] See:

 Rampe 2013, pp. 375–376  Wolff 1994, pp. 322–323  Dürr 2006, pp. 570–573, 592–595

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 Berger 1997  Rampe 2013, p. 293–294  Jones 2013, p. 259  Williams 2016, pp. 367–368

 Jones 2013, p. 259  Rampe 2013, p. 295  Wolff 2008  Wolff 2018

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 Butler 1995  Butler 2008  Breig 1999  Rampe 2013, pp. 294–295  Jones 2013, pp. 259

[39] Bach: The Concertos for 3 and 4 Harpsichords – Trevor Pinnock and the English Concert, from the CD booklet written by Dr. Werner Brieg, 1981, Archive Produktion (bar code 3-259140-004127) [40] See: •

[29]  Kroll 2014, p. p. 268 •

[30] See: •

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REFERENCES 

Mercer-Taylor, Peter (2000),   The Life of  Mendelssohn, Cambridge University Press, p. 144, ISBN 0521639727  Eatock, Colin (2009),  Mendelssohn and Victorian England , Ashgate, p. 86, ISBN 0754666522

  Rampe, pp. 296–297, contains a survey of the lit  Kroll, Mark (2014),   Ignaz Moscheles and the erature Changing World of Musical Europe, Boydell & Brewer, p. 268, ISBN 1843839350  Jones 2013, pp. 259–260  Tovey 1935 [41] See:  Siegele 1957  Wollny 1993, p. 681  Schulze 1981  Wollny 1997, p. 283  Breig 1993, p. 433 [42] See:  Mohr 1972  Dirksen 2008  Wolff 1985 •

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[31] See: •

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  Rampe, pp. 303–304   Jones, pp. 259–260  Breig 1999, p. XIV

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 Jones 2013, p. 395

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 Kilian 1989, pp. 47–48

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 Shulenberg 1995, p. 30

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 Wollny 1997, pp. 283–285

 Rampe 2013 [32] In the autograph manuscript there is a figured bass in the continuo part, but it is known that this was added later, so [43]  Mann 1989 no further instruments beyond harpsichord and strings are required for performance; see Breig 1999, p. XIV. [44] For a detailed discussion of BWV 849, see Schulenberg (2006), pp. 145–146 [33] See: [45]  Jones 2013, p. 395  Rampe 2013, pp. 304–305 [46] See:  Jones 2013, p. 260 •

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  Breig 1991, pp. 292–295 Breig gives a detailed mu Mann 1989, p. 116 sical analysis of the movement.  Wollny 1997, p. 285  Sackmann 2000, pp. 141–143 [47] See:  Williams 1997, pp. 87, 89 •

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[34] See: •

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  Rampe, pp. 304–305   Jones, pp. 259–260  Breig 1999, p. XIV

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 Mann 1989, pp. 116–117

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 Abravaya 2006, pp. 61–64

[48] Steinberg, M. The Concerto: A Listener’s Guide, p. 14, Oxford (1998) ISBN 0-19-513931-3

[35] Steven Zohn, Music for a Mixed Taste: Style, Genre, [49] Hutchings, A. 1997. A Companion to Mozart’s Piano Concertos , p. 26, Oxford University Press.   ISBN 0-19and Meaning in Telemann’s Instrumental Works, Oxford 816708-3 University Press, 2008, pp. 192–194, ISBN 978-0-19516977-5 [36] Uwe Kraemer. Liner notes for   Bach: The Harpsichord Concertos (IgorKipnis, The LondonStrings, Neville Mariner) CBS Records M2YK 45616, 1989. [37]  Rampe 2013, pp. 390–396 [38] Oxford Composer Companions guide to Bach (ed. Boyd)

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References •

 Abravaya, Ido (2006), On Bach’s Rhythm and Tempo (PDF), Bochumer Arbeiten zur Musikwissenschaft, 4, Bärenreiter, ISBN 3761816022

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  Berger, Christian (1997), “Ein Spiel mit FormModellen. J.S. Bachs Cembalokonzert E-Dur BWV 1053”, in Martin Geck; Werner Breig, Bachs Orch-

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esterwerke: Bericht über das 1. Dortmunder BachSymposion im Januar 1996   (in German), Dortmund,

pp. 257–263 •

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•

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 Breig, Werner (1991), “Der Ostinatoprinzip in Johann Sebastian Bachs langsamen Konzertsătzen”, in Wolfgang Osthoff; Reinhard Wiesend, Von Isaac bis  Bach. Festschrift Martin Just zum 60. Geburtstag, Bärenreiter, pp. 287–300  Breig, Werner (1993), “Zur Gestalt Johann Sebastian Bachs Konzert für Oboe d'amore”,  Tibia, 18: 431–448  Breig, Werner (1999),  Bach: Concertos for Harpsichord ,  Neue Bach Ausgabe,  Bärenreiter, preface (note there is a later edition with piano reductions by Werner Breig)   Breig, Werner (2001),   Johann Sebastian Bach:  Concertos for Cembalo BWV 1052–1059, with critical commentary,   Neue Bach Ausgabe, VII/4,

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 Werner Breig, notes to recordings of the complete harpsichord concertos by Trevor Pinnock and The English Concert (1981, Archiv Produktion); lengths also taken from these recordings   Butler, Gregory (1995), “J.S. Bach’s reception of Tomaso Albinoni’s concertos”, in Daniel R. Melamed,   Bach Studies 2,  Cambridge University Press, pp. 20–46, ISBN 0521028914  Butler, Gregory (2008), “Bach the Cobbler: The Origins of Bach’s E-major Concerto (BWV 1053)", in Gregory Butler,   J. S. Bach’s Concerted Ensemble Music: The Concerto, Bach Perspectives, 7,   University of Illinois Press, pp. 1–20,   ISBN 9780252031656  Dirksen, Pieter (2008), “J. S. Bach’s Violin Concerto in G Minor”, in Gregory Butler,  J. S. Bach’s  Concerted Ensemble Music: The Concerto, Bach Perspectives, 7,   University of Illinois Press, p. 21, ISBN 9780252031656   Dürr, Alfred (2006),   The cantatas of J. S. Bach , Oxford University Press, pp. 392–397, ISBN 0-19929776-2

Jones, Richard D. P. (2007),  The Creative DevelopPress, ISBN 9780198164401

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Jones, Richard D. P. (2013),  The Creative Development of Johann Sebastian Bach, Volume II: 1717–  1750: Music to Delight the Spirit , Oxford University Press, ISBN 9780199696284

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  Kilian, Dietrich   (1989),   Johann Sebastian Bach, Concertos for Violin, for two Violins, for Harpsichord, Flute and Violin, Critical Commentary , Neue

Bach Ausgabe (in German),  III, Bärenreiter •

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Kroll, Mark (2014), Ignaz Moscheles and the Changing World of Musical Europe , Boydell & Brewer, ISBN 1843839350  Mann, Alfred (1989), “Bach’s parody technique and itsfrontiers”, in DonO. Franklin, Bach Studies 1,pp. 115–117, ISBN 0521341051 Mohr, Wilhelm (1972), “Hat Bach ein Oboed'amore-Konzert geschrieben?", Neue Zeitschrift fur  Musik , 133 : 507–508   Rampe, Siegbert; Sackmann, Dominik (2000), Bachs Orchestermusik  (in German), Kassel, ISBN 37618-1345-7   Rampe, Siegbert (2013),   Bachs Orchester- und  Kammermusik , Bach-Handbuch (in German), 5/1, Laaber-Verlag, ISBN 978-3-89007-455-9   Rampe, Siegbert (2014),  “Hat Bach Konzerte für Orgel und Orchester komponiert?" (PDF),  Musik & Gottesdienst  (in German),  68: 14–22   Sackmann, Dominik (2000),   Bach und Corelli:  Studien zu Bachs Rezeption von Corellis Violinsonaten op. 5 unter besonderer Berücksichtigung der “Sogenannten Arnstädter Orgelchoräle” und der  langsamen Konzertsätze, Musikwissenschaftliche

Schriften (in German), 3873970953 •

  Eppstein, Hans (1970), Droysen, Dagmar, ed., “Zur Vor- und Entstehungsgeschichte von J.S. Bachs Tripelkonzert a-Moll (BWV 1044)",  Jahrbuch des  Staatlichen Instituts für Musikforschung Preufßischer Kulturbesitz, Berlin: Merseburger: 34–44

 Haynes, Bruce (2001),  The Eloquent Oboe: A History of the Hautboy 1640–1760, Oxford University Press, ISBN 9780198166467 ment of Johann Sebastian Bach, Volume I: 1695–  1717: Music to Delight the Spirit , Oxford University

Bärenreiter, ISMN 9790006494699, •

  Geck, Martin (1994), “Köthen oder Leipzig? Zur Datierung der nur in Leipziger Quellen erhaltenen Orchesterwerke Johann Sebastian Bachs”, Die Musikforschung,  47 : 17–24

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36,

Katzbichler,   ISBN

 Schulenberg, David (1995), “Composition and Improvisation in the School of J.S. Bach”, in Russell Stinson, Bach Perspectives 1, University of Nebraska Press, pp. 1–42, ISBN 0803210426  Schulenberg, David (2006),  The Keyboard Music of  J.S. Bach, Taylor & Francis, ISBN 0415974003

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 Schulze, Hans-Joachim (1981), “J. S. Bachs Konzerte: Fragen der Überlieferung und Chronologie”, in P. Ahnsehl,   Beiträge zum Konzertschaffen J. S. Bachs , Bach-Studien,  6 , Leipzig, pp. 9–26

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und Philipp Emanuel Bach-Kultus’: Sara Levy und  ihr musikalisches Wirken   (in German), Leipzig:

Breitkopf & Härtel

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External links

ISBN 3-7751-0117-9 •

 Spitta, Philipp (1899),  Johann Sebastian Bach; his  work and influence on the music of Germany, 1685–  1750, Volume 3, translated by Clara Bell; J.A.

Fuller-Maitland, Novello •

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  Wollny, Peter (2010),   'Ein förmlicher Sebastian

  Siegele, Ulrich (1957),   Kompositionsweise und  Bearbeitungstechnik in der Instrumentalmusik Johann Sebastian Bachs (dissertation)  (in German),

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EXTERNAL LINKS 

Williams, Peter (1997), The Chromatic Fourth During Four Centuries of Music ,   Oxford University Press, ISBN 0198165633   Williams, Peter (2016), Bach: A Musical Biography, Cambridge University Press, ISBN 1107139252  Tovey, Donald Francis (1935), “Concerto in A major for Oboe d'amore with strings and continuo”, Essays in Musical Analysis, Volume II , London, pp. 196–8 Wolff, Christoph (1985), “Bach’s Leipzig chamber music”,   Early Music , 13: 165–175, doi:10.1093/earlyj/13.2.165   Wolff, Christoph (1994),   Bach: Essays on His  Life and Work ,   Harvard University Press,   ISBN 0674059263   Wolff, Christoph (2002),   Johann Sebastian Bach:  the learned musician,   Oxford University Press, ISBN 0-19-924884-2   Wolff, Christoph (2008), “Sicilianos and Organ Recitals: Observations on J.S. Bach’s concertos”, in Gregory Butler,  J. S. Bach’s Concerted Ensemble Music: The Concerto, Bach Perspectives, 7, University of Illinois Press, pp. 97–114,   ISBN 0252031652   Wolff, Christoph (2016), “Did Bach write organ concertos? A propos the prehistory of cantata movements with obbligato organ”, in Dirst, Matthew,  Bach and the Organ, Bach Perspectives, 10, University of Illinois Press, pp. 60–75, JSTOR 10.5406/j.ctt18j8xkb  Wollny, Peter (1993), “Sara Levy and the Making of Musical Taste in Berlin”,  The Musical Quarterly, 77: 651–688, doi:10.1093/mq/77.4.651,   JSTOR 742352 Wollny, Peter (1997), “Uberlegungen zum Tripelkonzert a-Moll (BWV 1044)", in Martin Geck; Werner Breig,  Bachs Orchesterwerke: Bericht  über das 1. Dortmunder Bach-Symposion im Januar  1996 , Dortmund, pp. 283–291

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 Autograph manuscript of BWV 1052–1059, Bach Archive, Leipzig  Manuscript of BWV 1052a, Bach Archive, Leipzig Harpsichord Concerto No.1, BWV 1052: Scores at the International Music Score Library Project Harpsichord Concerto No.2, BWV 1053: Scores at the International Music Score Library Project Harpsichord Concerto No.3, BWV 1054: Scores at the International Music Score Library Project Harpsichord Concerto No.4, BWV 1055: Scores at the International Music Score Library Project Harpsichord Concerto No.5, BWV 1056: Scores at the International Music Score Library Project Harpsichord Concerto No.6, BWV 1057: Scores at the International Music Score Library Project Harpsichord Concerto No.7, BWV 1058: Scores at the International Music Score Library Project Harpsichord Concerto No.8, BWV 1059: Scores at the International Music Score Library Project  Concerto for Flute, Violin and Harpsichord, BWV 1044: Scores at the International Music Score Library Project  Concerto for 2 Harpsichords, BWV 1060: Scores at the International Music Score Library Project  Concerto for 2 Harpsichords, BWV 1061: Scores at the International Music Score Library Project  Concerto for 2 Harpsichords, BWV 1062: Scores at the International Music Score Library Project  Concerto for 3 Harpsichords, BWV 1063: Scores at the International Music Score Library Project  Concerto for 3 Harpsichords, BWV 1064: Scores at the International Music Score Library Project  Concerto for 4 Harpsichords, BWV 1065: Scores at the International Music Score Library Project  Program notes from the Los Angeles Chamber Orchestra   Concerto in G minor BWV 1058 by  Jozef Kapustka and the Orquestra de Cordas da Grota (Rio de Janeiro)

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Text and image sources, contributors, and licenses

10.1 •

Text

  Keyboard concertos by Johann Sebastian Bach   Source:    https://en.wikipedia.org/wiki/Keyboard_concertos_by_Johann_Sebastian_

Bach?oldid=781535564   Contributors:  Jeandré du Toit, Hyacinth, JackofOz, Francis Schonken, Bender235, Espoo, Woohookitty, Graham87, Rjwilmsi, JHMM13, TBHecht, 8q67n4tqr5, RussBot, Tony1, Nikkimaria, Killerandy, Mathsci, Pais, DavidRF, Headbomb, JustAGal, Darev, PhilKnight, Rothorpe, Magioladitis, Clavecin, Straw Cat, Brozhnik, Migospia, Harfarhs, Classical geographer, Jlhughes, GPattle, Katzenfrucht, JL-Bot, Alexbot, Winston365, Arjayay, MelonBot, Addbot, Erutuon, Zorrobot, Luckas-bot, JeanneShade, Yobot, Amirobot, AnomieBOT, Xqbot, Omnipaedista, FrescoBot, Jonesey95, RedBot, Labrynthia9856, Cnwilliams, Gerda Arendt, Orenburg1, TobeBot, Nickanc, Woodlot, Lewisevand, Philologer, In ictu oculi, John of Reading, Nick Moyes, ZéroBot, Califra, Wieralee, Crochet, Ocean Shores, HonestIntelligence, Rezabot, Wbm1058, BG19bot, Solomon7968, Tim Barron, Toccata quarta, Lieutenant of Melkor, Dexbot, Shugurim, Narky Blert, SageGreenRider, CaradhrasAiguo, Knife-in-the-drawer, JJMC89, Blue Kat, BU RoBOT, SevN and Anonymous: 45

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Public domain Contributors:  IMSLP, 1950 reissue of BGA edition Original artist:  J.S. Bach   File:BWV1044-2.jpeg  Source:   https://upload.wikimedia.org/wikipedia/commons/3/30/BWV1044-2.jpeg License:  Public domain  Contributors:  IMSLP, 1950 reissue of BGA edition Original artist:  J.S. Bach   File:BWV1044-3-fugue-harpsichord.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/7/76/ BWV1044-3-fugue-harpsichord.jpeg  License:  CC BY 4.0   Contributors:  Own work  Original artist:  Mathsci   File:BWV1044-3-start.jpeg Source:   https://upload.wikimedia.org/wikipedia/commons/4/44/BWV1044-3-start.jpeg License:  Public domain Contributors:  IMSLP, 1950 reissue of BGA edition Original artist:  J.S. Bach   File:BWV1044-zelter-levy.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/b/ba/BWV1044-zelter-levy.jpeg   License:  Public domain Contributors:  Digitised manuscript, Bach Archive, Leipzig.  Original artist:  J.S. Bach   File:BWV1052-1-start.jpeg Source:   https://upload.wikimedia.org/wikipedia/commons/0/0e/BWV1052-1-start.jpeg License:   Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1052-2-ground-bass.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/9/9a/BWV1052-2-ground-bass.jpeg License:  CC BY 4.0   Contributors:   Own work  Original artist:  Mathsci   File:BWV1052-3-solo.jpeg  Source:   https://upload.wikimedia.org/wikipedia/commons/e/e3/BWV1052-3-solo.jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S.Bach   File:BWV1052-3-start.jpeg Source:   https://upload.wikimedia.org/wikipedia/commons/e/e5/BWV1052-3-start.jpeg License:   Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1052-adagio-melody.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/2/2e/BWV1052-adagio-melody.jpeg License:  CC BY 4.0   Contributors:   Own work  Original artist:  Mathsci File:BWV1052_1_central_section.jpeg  Source:  https://upload.wikimedia.org/wikipedia/commons/8/84/BWV1052_1_central_section. jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach  File:BWV1052_bariolage.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/7/79/BWV1052_bariolage.jpeg   License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1053-1-cembalo-solo.jpeg   Source:   https://upload.wikimedia.org/wikipedia/commons/5/51/BWV1053-1-cembalo-solo.jpeg License:   Public domain   Contributors:   IMSLP Original artist:  J.S. Bach   File:BWV1053-1-start.jpg   Source:   https://upload.wikimedia.org/wikipedia/commons/8/86/BWV1053-1-start.jpg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1053-2-solo.jpeg  Source:   https://upload.wikimedia.org/wikipedia/commons/0/06/BWV1053-2-solo.jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1053-2-start.jpeg Source:   https://upload.wikimedia.org/wikipedia/commons/0/01/BWV1053-2-start.jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1053-3-section-B.jpeg  Source:   https://upload.wikimedia.org/wikipedia/commons/d/da/BWV1053-3-section-B.jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1053-3-solo-episode.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/c/cb/BWV1053-3-solo-episode.jpeg License:   Public domain   Contributors:   IMSLP Original artist:  J.S. Bach   File:BWV1053-3-start.jpeg Source:   https://upload.wikimedia.org/wikipedia/commons/2/27/BWV1053-3-start.jpeg License:  Public domain Contributors:  IMSLP  Original artist:  J.S. Bach   File:BWV1055-1-harpsichord-solo.jpeg   Source:    https://upload.wikimedia.org/wikipedia/commons/2/2f/ BWV1055-1-harpsichord-solo.jpeg  License:  CC BY 4.0 Contributors:  Own work  Original artist:  Mathsci   File:BWV1055-1-start.jpeg   Source:   https://upload.wikimedia.org/wikipedia/commons/7/77/BWV1055-1-start.jpeg License:   CC BY 4.0  Contributors:  Own work  Original artist:  Mathsci   Source:    File:BWV1055-2-secondary-theme.jpeg   https://upload.wikimedia.org/wikipedia/commons/6/65/ BWV1055-2-secondary-theme.jpeg  License:  CC BY 4.0   Contributors:  Own work  Original artist:  Mathsci   File:BWV1055-2-start.jpeg   Source:   https://upload.wikimedia.org/wikipedia/commons/b/b1/BWV1055-2-start.jpeg License:   CC BY 4.0  Contributors:  Own work  Original artist:  Mathsci

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TEXT AND IMAGE SOURCES, CONTRIBUTORS, AND LICENSES 

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