Many baroque era composers wrote suites of dances for keyboard. The elements contained in the baroque dance suite were inspired by actual dances, but by the time J.S. Bach wrote his dance suites they were no longer meant to be accompaniment for dancers, but for listening. Bach wrote three sets of dance suites with 6 suites in each set; the English Suites, Partitas, and French Suites.
The French Suites are thought by musicologists to have been written while Bach was Kappelmeister at the court at Cöthen between 1717 - 1723. Bach did not call these French suites. That is a name that came to be used after his death. Although many of the dances of the suite were popularized in France, the dances themselves came from different parts of Europe, so the suites are not particularly 'French' in style any more than his English Suites are 'English' in style. Later musicologists and editors kept up with the tradition of the names to help differentiate between the three sets of suites.
The standard baroque suite consisted of 4 dances, Allemande, Courante, Sarabande, and Gigue. and could be augmented by other dance types of the era that could be inserted between the standard ones. French Suite No. 5 consists of seven movements, all of which are in binary form and the key of G major: I. Allemande -Traditionally the first dance in a baroque suite, Allemande is the French translation of the word German. It is in common time and is in a moderately slow tempo. Bach's example here is in gentle, constantly moving sixteenth notes that weave in and out of the parts. As in all baroque music, ornamentation is part of the music, with some ornaments written in the music by the composer. But a performer of the time could also insert other ornaments in the music as long as it was not overdone and was in good taste (a highly subjective thing that was most likely as overdone by some performers in that time as it is by some modern performers.) II. Courante -A dance of French origin, the courante is a lively dance in triple time. The name itself means running, and this example does that in constant liveliness. III. Sarabande - A dance of Spanish origin, it is also in triple meter. Thought to have evolved from a livelier (and some sources say an indecent) dance of the 16th century, the dance spread to France where it became a slow courtly dance. The lack of sustained tone of the harpsichord and the slow tempo of the sarabande, caused the sarabande to be more heavily decorated with ornaments to help fill out the music with sound. IV. Gavotte -An addition to the standard suite, it is a danced of French origin that has four beats to the bar. It is moderate to somewhat faster in tempo, and begins on the 3rd beat of the first bar. V. Bourrée -Another dance of French origin, it is written in 2 beats to the bar and is usually faster and livelier than the gavotte. It begins on the 2nd or downbeat of the first bar, and Bach's example is full of skips and jumps. VI. Loure -A slow dance of France, it was also known as the lente gigue, or slow jig. It is characterized by a dotted rhythm and is written in triple time, or as in Bach's example 6/4 time. VII. Gigue -For the end of this suite Bach uses the last of the four basic dances, the Gigue or Jig, a dance of Irish/English origins. It is a lively dance, and Bach writes it in 12/16 time, which is a compound 2 in a bar meter. It is a 3-voice fugue and the subject is reeled off in sixteenth notes, 6 of them to each beat of the bar:
The subject is first heard in the soprano voice, then the alto, finally the bass. There are a few episodes and a final statement of the subject before the end of the first section, which is then repeated. Bach then turns the whole thing topsy-turvy in the second section as the subject is inverted and begins in the bass first:
After an episode, the inverted subject is played in the soprano. More episodes occur, and when the section reaches the end it too is repeated. It is a brilliant end to one of Bach's most familiar keyboard suites, one that balances enjoyable melodies with well-crafted counterpoint.
Most classical music lovers who have ever heard the name Nadezhda von Meck know it from her relationship with Pyotr Tchaikovsky, the Russian composer. She gave Tchaikovsky financial support so he could devote himself to composition. with an agreement that stipulated they never meet. This resulted in a remarkable exchange of letters (over 1,200 in thirteen years) in a long distant friendship that Tchaikovsky came to rely on for her intelligence and musically knowledgeable advice.
Nadezhda von Meck
Nadezhda von Meck was the widow of Karl von Meck, a German engineer who garnered a fortune by founding a network of railroads in Russia. When he died, eleven of their thirteen children were still at home, and Madam von Meck became devoted to them in the extreme. She maintained a huge household that included personal instruction for the children as well as a retinue of servants, governesses and house maintenance personnel. She would take the household to Italy every summer, and the Paris Conservatoire of Music would send young students there for the summer to instruct and play music with her and her children. During the summer of 1880, an eighteen year old Claude Debussy was among the small group of students sent to Villa Oppenheim in Florence (now a hotel known as Villa Cora).
Debussy and other students would perform for the family every evening, and it was then thatDebussy's trio may ave been played. A letter from von Meck to Tchaikovsky mentions that Debussy was writing the trio, but there is no positive evidence that it was ever performed then. In fact, the trio may not have ever been performed in Debussy's lifetime. The work was not published until 1986 after the manuscript (which was considered lost) was found in 1982. Considerable editorial work was needed to piece it back together from various sources. The trio is in 4 movements;
Andantino con moto allegro -Debussy was still a student when he composed the trio and had very little training in composition, so while this movement can be thought of as in sonata form, it is a very loose and personal style of sonata form. It consists of attractive themes that are in the light weight salon style of the time. The beginning themes return towards the end in a kind of recapitulation, and the movement ends quietly.
Scherzo: Moderato con allegro - This movement shows more of what Debussy's style would become when he was a mature composer. The charm of the music is undeniable. The scherzo begins with a short introduction of pizzicato strings that alternate with the piano. The B minor theme itself begins with block chords in the piano. The graceful middle section is marked un poco piu lento and is in B major. The scherzo repeats and the movement ends quietly. Andante espressivo - The piano sets the stage for the graceful theme that is first played by the cello and then by the violin. A slightly more turbulent middle section that includes some modulations into distant keys leads back to a repeat of the initial theme. Finale: Appassionato -The final movement shows Debussy's inexperience in form (as does the entire trio) but the tunes are memorable throughout. His use of modulation may be a reflection of his knowledge of the music of Cesar Franck, a composer that showed considerable influence on young French composers at the time. Debussy was to go on to develop his own unique style of composition, but this piano trio is a pleasant listening experience despite his inexperience at the time.
The etudes of Chopin and other piano composers of the 19th century owe a great deal to J.S. Bach, for the 48 preludes and fugues of The Well Tempered Clavier are in many ways models for them. Bach's works are not only meant to instruct (as are etudes in the broadest sense of the term, usually by highlighting a specific area of keyboard technique) but to give enjoyment to the player. Bach said as much himself on the title page of The Well Tempered Clavier Book I: ...for the profit and use of musical youth desirous of learning, and especially for the pastime of those already skilled in this study.
Many of the preludes of The Well Tempered Clavier are forerunners of the etudes of a later era, while the fugues are etudes of a specific kind themselves. No wonder that Chopin used Bach's music as a constant inspiration for composing as well as for warming up his hands (and mind) before playing the piano.
Prelude and Fugue No. 7 in E-flat major BWV 852 - The custom of pairing a prelude with a fugue began many years before Bach was active. The playing of an improvised prelude was twofold; to give the performer a chance to warm up his fingers and to set the home key of the fugue that was to come. Bach took this prelude playing tradition and enriched it. Prelude No. 7 of Book One is an excellent example of this, as it breaks the boundaries of tradition with a three-part form that includes a prelude, short fugue and a longer fugue. The first section is in true prelude fashion and runs for ten measures:
This short section ends with a flourish and leads directly to the second section which consists of a short motive that is treated contrapuntally with numerous entrances until it dissolves into the third section, which is considered a fugue in itself.
Th 3-voice fugue proper is based on a short, perky two-measure subject that begins, circles around and ends on B-flat, the dominant of E-flat major, but the chord outlined in the figuration is E-flat major.:
The next two measures has the subject revolve around the note E-flat, which is the dominant note of A-flat major, which is in actuality the chord that the figuration outlines. Most of the material in this fugue is in keys closely related to the home key of E-flat, including a short entry of the subject in C minor, the relative minor of the home key. The fugue ends with chromaticism and cadence.
Prelude In E-flat Minor, Fugue In D-sharp Minor No. 8 BWV 853 -Bach uses this prelude and fugue to show how the well-tempered keyboard can play in tune in keys containing many sharps or flats, something that was not possible with most other tunings. The prelude is in E-flat minor, a key that contains six flats:
The prelude begins with a bare E-flat minor triad. With rolled chords and modulations to B-flat minor and A-flat minor occur, and Bach's use of differing rhythms give this prelude a mood of reflection instead of sorrow. The mood brightens as the prelude ends in E-flat major.
The 3-voiced fugue is in D-sharp minor, a key with six sharps. The subject is about two and a half measures long, and it is truly the subject of this fugue as there is hardly much else going on besides the presentation and rehearing of the subject. Bach does create variety by varying the subject by inversion, augmentation and slight changes of rhythm.
Prelude and Fugue No. 9 In E Major BWV 854 - The prelude is in a light polyphonic style and is short at only 24 measures:
After the opening section is played out, there is a central section of a slightly different character. The opening section returns and a short ending rounds out a prelude that has been described as pastoral.
The 3-voiced fugue has a terse subject of only a measure and a half in length:
Within a short span of time, Bach manages to state the subject many times and includes numerous episodes that do not contain the subject. This fugue creates a whirlwind effect that can be realized without playing it at an overly fast tempo.
Prelude and Fugue No. 10 In E Minor BWV 855 -This prelude is a reworking of a shorter prelude in the same key from The Notebook For Wilhelm Friedmann, a set of pieces for Bach's eldest son. It is in two parts, with the first part being an ornamented melody in the right hand accompanied by sixteenth notes in the left.
This continues until roughly at the half way point the tempo increases to presto and the right hand changes to running sixteenth notes along with the left hand:
This presto section recalls a somewhat similar texture contained in the Prelude No. 2 In C Minor of Book I. The prelude continues in this way until the ending cadence in E major.
A rare example of a 2-voiced fugue, it begins with a subject that consists of two bars of running, chromatic sixteenth notes and ends with two eighth notes:
The nature of the subject and the two-voice structure hints that this needs to be played at a brisk tempo. The end of this fugue happen s quite suddenly, and is in E major.
Prelude and Fugue No. 11 In F Major BWV 856 - In the style of a two part invention, the opening parts for each hand reverse throughout this short prelude:
The 3-voiced fugue moves at a steady, somewhat rapid pace as the regular rhythmic pattern of the subject makes it easy to follow with its many entrances.
Prelude and Fugue No. 12 In F Minor BWV 857 -The musical interpretation of Bach's music can be a problem, or an opportunity, as one sees things. This prelude is a case in point:
The quarter notes held in the right hand can be thought of as a melody and the sixteenth notes of the right hand an accompaniment, or the reverse can be done. and the bass notes can also be brought out as an integral part of the melodic content. Such are just a few of the possibilities within Bach's music. Whichever interpretation is decided upon will dictate the tempo of this prelude to a large extent.
The 4-voice fugue has subject of three measures:
The irregularity of a three-measure subject is glossed over somewhat by the answer of the subject in a much different rhythm of eighth and sixteenth notes. This makes the subject appear to be an ethereally slow one that gives a clue to the proper tempo of the fugue overall. This is the halfway point of Book I, and gives credence to the thought that Bach wrote the work as progressing in difficulty. Compare this prelude and fugue to the first one in C major, and it seems obvious. This fugue is complex, with different counter subjects and episodes with the subject and its slow pace weaving in and out of the musical texture.
The music of Pyotr Tchaikovsky came to be a tremendous influence on Russian composers, but that wasn't always the case. Many of the more nationalistic composers within Russia regarded Tchaikovsky as too westernized in his compositional aesthetic. But Tchaikovsky was a Russian composer through and through who helped to integrate Russian music with the music of Europe. One of the younger Russian composers that held Tchaikovsky in high regard was Anton Arensky.
Arensky became a teacher at the Moscow Conservatory in 1882 and then met Tchaikovsky, who became a friend and mentor. After Tchaikovsky's death in 1893, Arensky wrote his String Quartet No. 2 In A Minor and dedicated it to the memory of his deceased friend.
This string quartet is unique in the literature, for instead of writing the work for the standard two violins, viola and cello, Arensky uses one violin, one viola and two cellos. This resulted in an increase in the depth of the sonority, something that Arensky used to convey the sadness over the death of Tchaikovsky. It is in 3 movements: I. Moderato -The opening of the work makes good use of the second cello as a theme is played by muted strings that sound like a Russian Orthodox funeral chant. This theme is briefly extended before a second, gentler theme is played. The developmenet section has both themes elaborated on with many instances of slowing and then increasing the tempo which pushs and pulls the music. The recapitualtion works through the themes again in different keys until the openinig chant returns and the music fades away.
II. Variations On A Theme Of Tchaikovsky -The theme for this set of seven variations is taken from Tchaikovsky's 16 Songs For Children, Opus 54, No. 5 'Legend' :
Arensky retains the original key of E minor and the 8-bar tune is played by the violin. The seven variations run from slow and calm to rapid and scherzo-like with a few variations venturing quite far from the original. The mood turns somber once again as the second movement ends with a coda in quiet music remeniscent of the opening of the quartet.
III. Finale : Andante sustanuto. Allegro moderato -The third movement begins with a short introduction that keeps within the somber mood of the end of the second and first movements. This mood is broken by a Russian folksong played by the viola and used by Mussorgsky in his opera Boris Godounov and by Beethoven in his Rasumovsky Quartet Opus 59, No. 2:
The beginning theme of the movement returns briefly until the second theme whisks it away in a flurry of virtuosity as the short finale ends.
Heinrich von Herzogenberg's first major musical influence was Robert Schumann, but he soon became a disciple of the New Music of Richard Wagner and Franz Liszt. When Herzogenberg undertook a thorough study of the music of J.S. Bach, his musical aesthetic changed again as he turned to the classical tradition and the music of Johannes Brahms.
In 1866 Herzogenberg married Elisabet von Stockhausen, a former piano student of Brahms. Brahms remained fond of Elisabet and she tried to get him to give some words of encouragement to her husband regarding his compositions. But the irascible Brahms gave little encouragement. Despite that, Herzogenberg went on to write a good quantity of music in all varieties of music except opera.
Herzogenberg and his wife carried on a 20 year correspondence with Brahms which makes for interesting reading concerning musical life in the last quarter of the 19th century. Though Herzogenberg was a champion of Brahms' music, he was a very much original composer. The Piano Quintet In C Major, Opus 17 was written in 1876 and shows Herzogenberg's skill with sonata form as well as chamber ensemble composition. It is in 4 movements:
I. Allegro moderato - The piano begins the first movement with a short introduction:
This introduction contains material that is referenced throughout the first movement. After this initial introduction, the strings take up fragments of the introduction until the piano repeats the material in a different tonality. All of the instruments expand the material. Secondary themes and fragments of themes are interspersed between repeats of the main theme. The development section concerns itself with the main theme which is treated fugally in a short lead up to the recapitulation. Herzogenberg shows considerable skill in keeping everything moving in a way that makes musical sense to the ear. The main theme builds until the end of the movement.
II. Adagio - The second movement begins in F major with a short introduction from the piano. The first theme is gently flowing in the strings and accompanied by the piano. A secondary theme is in the minor and leads back to a repeat of the initial theme.
III. Allegro -The third movement is an accented scherzo in G major. The second theme is lighter in character but does contain some moments of accented, off the beat music. The first theme is repeated.
IV. Presto -The final movement begins in A minor, and like the previous movements the piano is the dominating presence. The strings add color and variety to the music as a lively theme keeps moving steadily throughout. There are fragments of other themes heard sandwiched between the driving main theme, including a reference to the main theme of the second movement. After this is heard, the music builds to a driving conclusion with the initial theme of the movement in the home key of C major.
The list of works that were published in Franz Schubert's lifetime ran to about 100 opus numbers, with most of them being lieder. it wasn't until many years after his death in 1828 that the full compass of his compositions became clear. When the Austrian musicologist Otto Erich Deutsch published his catalogue of Schubert's collected works, his numbering system went as high as 998.
Schubert was most well known in his lifetime for his songs and a few larger works. Most of his works were not played or heard by Schubert in his lifetime, but the Piano Trio No. 2 In E-flat Major was an exception as it was played at a private engagement party in January of 1828 for one of his friends shortly after its composition in November of 1827. The work was also published before Schubert's death in November of 1828.
The 2nd Piano Trio is like other of the last works of Schubert in that it is expanded in length. This is true no matter the genre of a particular late work. The Symphony In C Major lasts an hour, the Piano Sonata No. 21 In B-flat Major40 minutes, as well as the 1st Piano Trio (which was written at about the same time as the 2nd Piano Trio) which lasts about 40 minutes. This lengthening of playing time is due at least in part to Schubert's remarkable gift of melody. He drew from an inexhaustible store of themes and melodies and used them in his later works where they were used in a musical texture that resulted in a longer time needed to work through all of his compositional expertise with them.
The 2nd Piano Trio is in 4 movements:
I. Allegro -The first movement begins with all three instruments stating a theme that outlines the E-flat major triad:
This first theme is elaborated on until a short section leads to the second theme. Musicologists differ as to the number of themes in the exposition, with some saying as many as six. Whether these themes are truly independent themes or not, there does seem to be a relationship between them. The exposition is repeated, which adds to the length of the movement but with such a wealth of thematic material, a repeat is most welcome. The development section modulates into keys far and wide but Schubert keeps everything coherent with the return of themes. The recapitulation continues the weaving of themes and Schubert ties up all the loose ends as the movement ends with a final flourish followed by a more quiet final statement.
II. Andante con moto - The quiet ending of the first movement leads perfectly to the second movement where the piano begins in C minor and the cello joins with a melancholy tune:
According to one of Schubert's friends, this theme is based on a Swedish folk song that Schubert heard, the title of which is 'Se solen sjunker' (The sun is down). The second theme is of a more gentle character for contrast, but this theme reaches two climaxes that makes the ear question its true gentleness. These two themes alternate until the funeral march-like opening theme ends the movement.
III. Scherzando. Allegro moderato -The theme of this movement begins in the piano and is imitated by the violin and cello. The trio is a more robust country dance that includes a reference to one of the themes of the first movement.
IV. Allegro moderato -A movement that has elements of both sonata form and rondo form as three themes are played. A development section is introduced by the return of the primary theme of the second movement in an altered guise that foreshadows the embracing of cyclic form by Berlioz and Liszt. It is played again by the cello with accompaniment by piano and pizzicato violin. The other three themes of the movement continue to be varied as the music moves to the end of the movement. The second movement theme enters one last time but remains in its minor key form but briefly until it shifts into the major mode. The music ends in a final short statement of the opening theme of the movement.
In the world of art and artists, The Well-Tempered Clavier of Johann Sebastian Bach occupies a lofty position of influence. The work consists of two volumes, each containing 24 preludes and fugues written in all the major and minor keys. Bach wrote a preface to the work that reveals he meant it to be used by students as well as an amusement for the already skilled keyboard player -
The Well-Tempered Clavier,
or
Preludes and Fugues
through all the tones and semitones
both as regards the tertia major or Ut Re Mi
and as concerns the tertia minor or Re Mi Fa.
For the Use and Profit of the Musical Youth Desirous of Learning
as well as for the Pastime of those Already Skilled in this Study
drawn up and written by Johann Sebastian Bach.
p.t. Capellmeister to His Serene Highness
the Prince of Anhalt-Cöthen, etc.
and Director of
His Chamber Music.
Anno 1722.
What Bach meant exactly by his use of the term well-tempered is still being discussed almost 300 hundred years after it was written. The tuning of keyboard instruments was far from standardized in Bach's time. There were various methods and tuning systems in use that attempted to make it possible to play in tune in all the keys, which was not possible if the instrument was tuned exactly to pitch. For example, the key of C major has no sharps or flats, so if there was any change of key within a piece of music, it could only modulate to closely related keys. The further away from the home key, the more dissonant the sound became. Closely related keys for C major would be F major (one flat), G major (one sharp) A minor (no sharps or flats).
That's a very simplistic example, but the point is that whatever Bach's exact tuning method, his goal was to give examples of pieces that would be in tune on the keyboard in all the major and minor keys. The Well-Tempered Clavier had to wait until 1801 for its first publication, but there were hand written copies circulating among musicians during the 50 years between Bach's death and publication. Haydn, Mozart and Beethoven were profoundly influenced by The Well-Tempered Clavier as well as many other musicians.
The first six preludes and fugues of Book One -
Prelude and Fugue No. 1 In C Major BWV 846 - The pedagogical nature of The Well-Tempered Clavier begins with the C major prelude which is comprised entirely of arpeggiated chords.
With the absence of any kind of theme, this prelude is an example of how a constant pattern of music can be made beautiful by shifting harmonic content. This is the simplest of preludes, but that doesn't mean that it is easy to play. This prelude is one of Bach's most well-known and many a piano student has played it.
The 4-voiced fugue flows along with many repetitions of the subject (the theme that begins a fugue and that returns in different keys and voices throughout it) or the answer (the repeat of the subject in a different key). There are no episodes (a short section that does not contain either subject or answer) in this fugue, a feature that makes it a little easier to understand aurally, but not any easier to play.
Prelude and Fugue No. 2 In C Minor BWV 847 - The beginning of this prelude was originally written in a notebook for Bach's oldest son Wilhelm Friedmann, with Bach adding material to the end of the original. The pastoral feeling of the first prelude is not to be heard in this agitated and tense prelude of running sixteenth notes in both hands.
A sense of dramatic tension builds over 24 measures until single line arpeggios play a section that ends on a low G in the bass. Bach then marks the next section with a rarity in any of the pieces of The Well-Tempered Clavier, a tempo designation. The tempo changes to presto (which gives an indication of what the tempo of the previous 24 measures should be) as the hands return to the running sixteenth notes of the beginning. Then there is a one-measure cadenza and another tempo change, this time to adagio. The tempo changes yet again to allegro as the prelude winds down chromatically until it ends in C major.
A 3-voiced fugue follows with the subject played in the soprano register of the keyboard. The fugue develops and includes six episodes where the subject is not heard. A striking feature of this fugue occurs in the 28th measure. The three voices are occupied with the summing up of the fugue, all three voices are halted abruptly with the insertion of an eighth rest:
The voices then continue to move to the end of the fugue in C major.
Prelude and Fugue No. 3 In C-sharp Major BWV 848 -With all the notes in the C-sharp major scale being raised a semitone, the key signature of seven sharps must have been rather daunting to many musicians in Bach's time. C-sharp major was thought of as being more of a theoretically possible key than a practical one. But Bach continues his chromatic climb through the keys with this prelude that has a two-part structure, at least what on the surface appears to be a two part structure. The right hand plays a motive that is drenched in C-sharp major while the left hand plays a simple accompaniment. This motive is seven measures long, and after two measures of transition, the motive is taken up by the left hand in G-sharp major while the right hand takes up the simple accompaniment. Bach modulates through many of the sharp keys, major and minor in this prelude and creates interest and contrast. The magic of the piece occurs in the 87th measure as the two lines converge and transform into a section that has a syncopated feel to it. The music proceeds to arpeggios and the final cadence.
The 3-voiced fugue that follows begins with the two-measure subject. This subject is heard numerous times along with other counter-subjects (a secondary motive that is played in counterpoint with the subject) and episodes. Bach uses all of these in creating interest, tension, and resolution in all of the pieces in The Well-Tempered Clavier. How he uses them makes each of them a work of art.
Prelude and Fugue No. 4 In C-sharp Minor BWV 849 -Many editions of The Well-Tempered Clavier had tempo indications added by editors. Bach's use of them was very limited. He tended to use them when there was a marked contrast within a prelude that he wanted to make sure the player did not miss (as in the C minor prelude). The nature of music in Bach's time was such that a piece of music revealed the tempo it should be performed at when the player studied it. This interpretive skill was taught by Bach and other teachers, so tempo indications were not necessary within the style of the times. This prelude is an obvious example of a piece that contains the secret of the proper tempo within the music itself. Time signatures also gave a further clue to the tempo of a piece, and this prelude has a time signature of 6/4, which is a variant of two beats in a measure. Thus the tempo should not be too slow, but in a moderately slow tempo and a calmness of mood.
The 5-voiced fugue that follows is one of the most complex ones within The Well-Tempered Clavier. The subject consists of only 4 notes:
This subject appears in the fugue 29 times, according to musicologists. Combine that with Bach's imagination, uses of episodes and counter-subjects, this piece would be amazing enough. But consider that this piece is also considered a triple fugue. That is, a fugue with three distinct subjects! This fugue is like an intricate, decorative knot with different colors and textures of thread woven through it, but Bach is a master weaver of notes instead of thread. I don't pretend to understand all of the intricate workings going on, but a good listener attuned to the art of music doesn't need a limitless understanding of the technical machinations of the art of fugue. Bach helps our ears, if they are keen enough, to make sense out of it all whether we can explain it or not. Prelude and Fugue no. 5 In D Major BWV 850 - Running sixteenth notes in the right hand are accompanied by a bass line of a repeating eighth note-eighth rest figure. The 2nd and 4th bass line eighth note can give the impression of combining with the fifth and thirteenth note in the right hand to make a two-note chord:
The music continues until it reaches the last line of the prelude. After a rapidly arpeggiated chord, the right hand plays a cadenza that increases the tension and leads to two large chords. The tension is finally releases with the final cadence and tonic chord.
The 4-voiced fugue that follows is in the French Overture style with a subject that is just a little over a measure long:
The impression given by the subject as well as Bach's treatment of the other components of the fugue suggest a stately tempo.
Prelude and Fugue No. 6 In D Minor BWV 851 - Another prelude that is developed by harmonic means rather than melodic. There are snatches of motives that come through, but it is the harmonic shifting that gives this piece its drive. It sounds like a dramatic gigue to my ear as the relentless right hand continues right into a chromatic section that provides the final cadence in D major.
The 4-voiced fugue has a subject that is two measures long. This subject is repeated many times throughout, and Bach manipulates this subject by inverting it, that is the notes of the subject go in the opposite direction as the original. When the notes go down in the original, they would go up an equal distance in the inversion. That is a very simplistic explanation and not exactly accurate in all cases, but it does give the listener a general idea of one of the many ways Bach created variety and interest within a fugue:
Subject D Minor Fugue
Inversion of Subject
In the next to the last measure of the fugue, dotted half note D's are held while thirds in contrary motion lead to the ending in D major.