Lesson 1 · List A · Baroque

Bach — Prelude & Fugue in D minor, BWV 875

No. 6 of The Well-Tempered Clavier, Book II — the "chromatic fugue", and a prelude that sounds like a violin.

Johann Sebastian Bach 1685 – 1750 · German Late Baroque BWV 875 · Book II No. 6 Prelude 61 bars · Fugue 27 bars ≈ 3–3½ minutes

1Meet the composer

Johann Sebastian Bach never left Germany, had twenty children, and worked his whole life as a church and court musician. After he died, people thought he was old-fashioned. Today he is often called the greatest composer who ever lived.

The short version

Bach at a glance

1685 born in Eisenach → Weimar (organist) → Köthen 1717–23 (court music for a prince — that's where Book I was written) → Leipzig 1723–50 (Thomaskantor: music director of the town churches and the famous choir school).

3 things to remember

Don't forget these

① He is the end of the Baroque — the era is dated to his death in 1750.
② He wrote both books of the Well-Tempered Clavier (1722 and c. 1740).
③ His works are numbered BWV = Bach-Werke-Verzeichnis (Bach Works Catalogue), compiled by Wolfgang Schmieder in 1950 — ordered by type, not by date.

His friends

Contemporaries

Handel and Domenico Scarlatti (born the same year, 1685), Telemann, Vivaldi, Rameau, Couperin. Fun fact: Bach never met Handel, though they were born the same year and lived in the same century.

Wow!

The BWV catalogue puts all the cantatas first (BWV 1–224) and the keyboard works much later (BWV 846–893 are the Well-Tempered Clavier). So BWV 85 is a church cantata, but BWV 875 is your prelude & fugue. If an examiner asks how the catalogue works, that contrast is the perfect answer.

2What is The Well-Tempered Clavier?

It's Bach's giant project: 48 preludes and fugues — two books of 24 — proving that you can write beautiful music in every single key.

The organisation

One pair in every key

Each book has 24 preludes & fugues, rising chromatically: C major, C minor, C♯ major, C♯ minor, D major, D minor… all the way to B minor. D minor is therefore No. 6.

Book I vs Book II

Twenty years apart

Book I — finished 1722 at Köthen. Book II — compiled c. 1739–42 in Leipzig, about twenty years later. Your piece is from Book II, Bach's mature "modern" collection.

The title word

"Clavier"

In Bach's Germany, Clavier meant any keyboard instrument with strings — harpsichord or clavichord — not the piano, which was brand new and almost unknown. So he wrote for a harpsichord-like sound.

How the 24 keys are arranged — rising by semitone: C major C minor C♯ major C♯ minor D major D minor ★ …all the way to B minor. That makes 12 major + 12 minor = 24 pairs in each book. Your D minor pair is No. 6.
Book II is organised like a ladder: each rung is the next key up. D minor is rung 6.
"Well-tempered" — the question everyone trips on

Well-tempered means the instrument is tuned so all 24 keys work — but each key still sounds slightly different in colour. That is NOT the same as equal temperament, where every key sounds identical. (Equal temperament only became standard after Bach died.) Nobody knows exactly which tuning Bach used — but the whole point of the collection is showing off all 24 different key-colours. Say this and you sound like a real musician.

3Listen first

Put the music on while you read the next two sections. This recording follows a scrolling score, so you can watch the notes fly past.

4Inside the Prelude (61 bars)

The prelude is a moto perpetuo — "perpetual motion" — an unbroken stream of semiquavers that never stops, shared between the hands (watch for the hand-crossings).

The form

Continuous binary

Two halves, but no repeat signs (so it's a continuous binary, not a dance binary). Part I: D minor → A minor. Part II: A minor → back to D minor. Then a tiny coda (bars 57–61) over a held tonic note, ending in D major.

The clever trick

Invertible counterpoint

Bars 1–4 are played again at bars 5–8 with the two hands swapped (top becomes bottom). Then at bars 26–29 the whole thing returns transposed up a perfect fifth. Bach builds a whole movement from one idea turned upside-down and moved.

The secret influence

It sounds like a violin

The repeated-pivot broken chords (from bar 2) are violin string-crossing — a trick called bariolage. Bach learned it by arranging Vivaldi's concertos. That's also why the hands cross over each other.

Point at the page — impress the examiner

There is an earlier, shorter version of this prelude, catalogued BWV 875a. Bach lengthened it when he made Book II. The giveaway is the demisemiquaver flourishes at bars 22 and 24 — the only demisemiquavers in the whole piece, and almost certainly added later. Say "this little run is a later addition — Bach revised this prelude" and you've shown you really know the score.

5Inside the Fugue (27 bars)

A fugue is a musical conversation: one voice (or "part") starts a tune called the subject, then other voices copy it, one by one, while the music chatters on. Bach's fugue is only 27 bars — but it is one of the cleverest in the whole book.

The subject — two moods in one tiny tune

The subject is exactly 2 bars and has two halves. First half: twelve fast triplet semiquavers (sextuplets) rising, mostly stepwise — light and dancing. Second half: a leap up to high D, then a slow chromatic descent in quavers back down. That falling chromatic line is the passus duriusculus — the Baroque "lament" figure, the same shape as the sad Crucifixus in Bach's B minor Mass. Two opposite feelings packed into one subject is a very "late-Bach", modern trick — and it's why the fugue is nicknamed the "chromatic fugue".

The subject's second half — the falling "lament" line (passus duriusculus): Treble D C♯ C♮ B♮ B♭ A a perfect 4th …the "lament" — a slow, sad slide down four notes (D → A). Fast rise first, slow sigh second.
The subject's two halves: a bright rising run, then a slow chromatic sigh. That sigh is the passus duriusculus.
Who speaks when?

The entries

Alto (bar 1, alone) → Soprano (bar 3, with the answer) → a short codetta (bar 5) → Bass (bar 6). So: middle, top, bottom. The exposition ends at bar 8.

Real or tonal?

It's a REAL answer

The subject starts D–E–F–G; the answer starts A–B♮–C–D. That B natural is the proof: it's an exact transposition up a fifth, with no adjustment. (A "tonal" answer would have tweaked a note to stay in the key.)

The sidekick

Countersubject

A second tune in even (duple) semiquavers that plays against the subject, creating a constant two-against-three ripple. It's a genuine countersubject, but Bach uses it freely rather than all the time.

The climax — say this and you win

The fugue uses stretto (voices entering on top of each other before the last one finishes) and inversion (the subject turned upside-down). There are four strettos, and the last one, at bar 25, is the climax: all three voices pile in half a bar apart, combining the subject right-way-up and upside-down at the same time. The key plan is deliberately tiny — only D minor (i), A minor (v) and G minor (iv) — because the excitement comes from the counterpoint, not from wandering keys. That's also why it can be so short.

6How to play it

Dynamics

Terraced, not swelled

Bach wrote no dynamics. Shape the music by how many voices are sounding and how tense the harmony is — think steps (terraces), not long romantic waves.

Pedal

Almost none

The harpsichord has no sustaining pedal, so Bach's counterpoint is written to be heard without it. On a modern piano, use only tiny "touch" pedals to connect what the hand can't reach — never enough to blur the voices.

Ornaments

Trills start on the upper note

The Baroque rule: a trill begins on the note above, on the beat. (Bach's own chart — the Explication of 1720 — and his son C. P. E. Bach's book of 1753 both say so.) Very few ornaments are written in this pair.

Try this at the keyboard

Differentiate the subject's two halves with touch, not dynamics: play the rising sextuplets smooth and even, then let the chromatic quavers be slightly heavier and more "spoken". Then use exactly the same articulation every single time the subject appears — that consistency is what keeps the tune audible in every register.

7Words to know

Fugue a piece where a theme (the subject) is copied by voices one after another.
Subject / Answer the fugue's tune; the answer is its copy, usually a fifth higher (here, a real answer — exact).
Countersubject a second tune that plays against the subject.
Stretto entries overlapping, one voice starting before the last one finishes.
Inversion the tune turned upside-down (ups become downs).
Passus duriusculus the Baroque "lament" — a slow chromatic descent.
Moto perpetuo "perpetual motion" — never-stopping fast notes.
Tierce de Picardie a major third in the final chord of a minor piece (your prelude ends D major).
Invertible counterpoint counterpoint that still works when the two parts swap places.
Bariolage violin string-crossing figuration (transferred to the keyboard here).

8Talk like a pro

In the exam, a strong answer has four moves: Name it → Place it → Contextualise it → Land it on a decision. Here's the shape, using the fugue subject.

"The subject is exactly two bars and it has two characters. The first half is twelve rising triplet semiquavers — light and dancing — and the second half leaps up to high D and descends chromatically through a fourth, which is the passus duriusculus, the Baroque lament figure. It's a late-Bach trait to pack two affects into one subject, and it's why this is called the chromatic fugue. So I play the semiquavers smooth and the chromatic quavers more weighted and speaking — and I keep that exactly the same for every entry, so the subject stays clear wherever it appears."

9Quick check

How is The Well-Tempered Clavier organised?

Two books of 24 preludes & fugues — one pair in every major and minor key, rising chromatically (C major, C minor, C♯ major…). So D minor is No. 6.

Is the fugue's answer real or tonal — and which note proves it?

Real. The answer starts A–B♮–C–D; the B natural shows it's an exact transposition up a fifth, not adjusted to stay in the key.

Where is the fugue's climax, and what happens there?

Bar 25 — a three-voice stretto in the tonic, combining the subject right-way-up and inverted, half a bar apart.

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