Goldberg Variations (other)
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The ''Goldberg Variations'', BWV 988, is a musical composition for
keyboard Keyboard may refer to: Text input * Keyboard, part of a typewriter * Computer keyboard ** Keyboard layout, the software control of computer keyboards and their mapping ** Keyboard technology, computer keyboard hardware and firmware Music * Musi ...
by
Johann Sebastian Bach Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the '' Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard w ...
, consisting of an
aria In music, an aria (Italian: ; plural: ''arie'' , or ''arias'' in common usage, diminutive form arietta , plural ariette, or in English simply air) is a self-contained piece for one voice, with or without instrumental or orchestral accompanime ...
and a set of 30
variations Variation or Variations may refer to: Science and mathematics * Variation (astronomy), any perturbation of the mean motion or orbit of a planet or satellite, particularly of the moon * Genetic variation, the difference in DNA among individuals ...
. First published in 1741, it is named after
Johann Gottlieb Goldberg Johann Gottlieb Goldberg (; baptized 14 March 1727 – 13 April 1756) was a German virtuoso harpsichordist, organist, and composer of the late Baroque and early Classical period. He is best known for lending his name, as the probable original pe ...
, who may also have been the first performer of the work.


Composition

The story of how the variations came to be composed comes from an early biography of Bach by
Johann Nikolaus Forkel Johann Nikolaus Forkel (22 February 1749 – 20 March 1818) was a German musicologist and music theory, music theorist, generally regarded as among the founders of modern musicology. His publications include ''Johann Sebastian Bach: His Life, ...
: Forkel wrote his biography in 1802, more than 60 years after the events related, and its accuracy has been questioned. The lack of dedication on the title page also makes the tale of the commission unlikely. Goldberg's age at the time of publication (14 years) has also been cited as grounds for doubting Forkel's tale, although it must be said that he was known to be an accomplished keyboardist and sight-reader. contends that the Forkel story is entirely spurious. Arnold Schering has suggested that the
aria In music, an aria (Italian: ; plural: ''arie'' , or ''arias'' in common usage, diminutive form arietta , plural ariette, or in English simply air) is a self-contained piece for one voice, with or without instrumental or orchestral accompanime ...
on which the variations are based was not written by Bach. More recent scholarly literature (such as the edition by Christoph Wolff) suggests that there is no basis for such doubts.


Publication

Rather unusually for Bach's works, the ''Goldberg Variations'' were published in his own lifetime, in 1741. The publisher was Bach's friend Balthasar Schmid of
Nuremberg Nuremberg ( ; german: link=no, Nürnberg ; in the local East Franconian dialect: ''Nämberch'' ) is the second-largest city of the German state of Bavaria after its capital Munich, and its 518,370 (2019) inhabitants make it the 14th-largest ...
. Schmid printed the work by making engraved copper plates (rather than using movable type); thus the notes of the first edition are in Schmid's own handwriting. The edition contains various printing errors. The title page, shown in the figure above, reads in German: : The term "''Clavier Ubung''" (nowadays spelled "''Klavierübung''") had been assigned by Bach to some of his previous keyboard works. Klavierübung part 1 was the six
partitas Partita (also ''partie'', ''partia'', ''parthia'', or ''parthie'') was originally the name for a single-instrumental piece of music (16th and 17th centuries), but Johann Kuhnau (Thomaskantor until 1722), his student Christoph Graupner, and Johann ...
, part 2 the '' Italian Concerto'' and ''
French Overture The French overture is a musical form widely used in the Baroque period. Its basic formal division is into two parts, which are usually enclosed by double bars and repeat signs. They are complementary in style (slow in dotted rhythms and fast in f ...
'', and part 3 a series of chorale preludes for organ framed by a prelude and fugue in E major. Although Bach also called his variations "''Klavierübung''", he did not specifically designate them as the fourth in this series. Nineteen copies of the first edition survive today. Of these, the most valuable is the (Bach's personal copy of the published score), discovered in 1974 in
Strasbourg Strasbourg (, , ; german: Straßburg ; gsw, label=Bas Rhin Alsatian, Strossburi , gsw, label=Haut Rhin Alsatian, Strossburig ) is the prefecture and largest city of the Grand Est region of eastern France and the official seat of the Eu ...
by the French musicologist Olivier Alain and now kept in the
Bibliothèque nationale de France The Bibliothèque nationale de France (, 'National Library of France'; BnF) is the national library of France, located in Paris on two main sites known respectively as ''Richelieu'' and ''François-Mitterrand''. It is the national repository ...
, Paris. This copy includes printing corrections made by the composer and additional music in the form of fourteen canons on the Goldberg
ground Ground may refer to: Geology * Land, the surface of the Earth not covered by water * Soil, a mixture of clay, sand and organic matter present on the surface of the Earth Electricity * Ground (electricity), the reference point in an electrical c ...
(see
below Below may refer to: *Earth *Ground (disambiguation) *Soil *Floor *Bottom (disambiguation) Bottom may refer to: Anatomy and sex * Bottom (BDSM), the partner in a BDSM who takes the passive, receiving, or obedient role, to that of the top or ...
). The nineteen printed copies provide virtually the only information available to modern editors trying to reconstruct Bach's intent, as the autograph (handwritten) score has not survived. A handwritten copy of just the aria is found in the 1725 Notebook for Anna Magdalena Bach. Christoph Wolff suggests on the basis of handwriting evidence that
Anna Magdalena ''Anna Magdalena'' () is a romantic fantasy comedy film from Hong Kong, made in 1998 and starring Aaron Kwok, Kelly Chen and Takeshi Kaneshiro. It was the directorial debut of production designer Yee Chung-Man. Title The title refers to the ke ...
copied the aria from the autograph score around 1740; it appears on two pages previously left blank.


Instrumentation

On the title page, Bach specified that the work was intended for harpsichord. It is widely performed on this instrument today, though there are also a great number of performances on the piano (see Discography below). The piano was rare in Bach's day and there is no indication that Bach would have either approved or disapproved of performing the variations on this instrument. Bach's specification is, more precisely, a two-
manual Manual may refer to: Instructions * User guide * Owner's manual * Instruction manual (gaming) * Online help Other uses * Manual (music), a keyboard, as for an organ * Manual (band) * Manual transmission * Manual, a bicycle technique similar to ...
harpsichord A harpsichord ( it, clavicembalo; french: clavecin; german: Cembalo; es, clavecín; pt, cravo; nl, klavecimbel; pl, klawesyn) is a musical instrument played by means of a keyboard. This activates a row of levers that turn a trigger mechanism ...
, and he indicated in the score which variations ought to be played using one hand on each manual: Variations 8, 11, 13, 14, 17, 20, 23, 25, 26, 27 and 28 are specified for two manuals, while variations 5, 7 and 29 are specified as playable with either one or two. With greater difficulty, the work can nevertheless be played on a single-manual harpsichord or piano.


Form

After a statement of the aria at the beginning of the piece, there are thirty variations. The variations do not follow the melody of the aria, but rather use its bass line and chord progression. The bass line is notated by
Ralph Kirkpatrick Ralph Leonard Kirkpatrick (; June 10, 1911April 13, 1984) was an American harpsichordist and musicologist, widely known for his chronological catalog of Domenico Scarlatti's keyboard sonatas as well as for his performances and recordings. Life ...
in his performing edition as follows. \relative The digits above the notes indicate the specified chord in the system of figured bass; where digits are separated by comma, they indicate different options taken in different variations. Every third variation in the series of 30 is a canon, following an ascending pattern. Thus, variation 3 is a canon at the unison, variation 6 is a canon at the second (the second entry begins the interval of a
second The second (symbol: s) is the unit of time in the International System of Units (SI), historically defined as of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds ...
above the first), variation 9 is a canon at the third, and so on until variation 27, which is a canon at the ninth. The final variation, instead of being the expected canon in the tenth, is a quodlibet, discussed below. As harpsichordist and musicologist
Ralph Kirkpatrick Ralph Leonard Kirkpatrick (; June 10, 1911April 13, 1984) was an American harpsichordist and musicologist, widely known for his chronological catalog of Domenico Scarlatti's keyboard sonatas as well as for his performances and recordings. Life ...
has pointed out, the variations that intervene between the canons are also arranged in a pattern. If we leave aside the initial and final material of the work (specifically, the Aria, the first two variations, the Quodlibet, and the aria da capo), the remaining material is arranged as follows. The variations found just ''after'' each canon are genre pieces of various types, among them three Baroque dances (4, 7, 19); a
fughetta In music, a fugue () is a contrapuntal compositional technique in two or more voices, built on a subject (a musical theme) that is introduced at the beginning in imitation (repetition at different pitches) and which recurs frequently in the co ...
(10); a
French overture The French overture is a musical form widely used in the Baroque period. Its basic formal division is into two parts, which are usually enclosed by double bars and repeat signs. They are complementary in style (slow in dotted rhythms and fast in f ...
(16); two ornate arias for the right hand (13, 25); and others (22, 28). The variations located ''two'' after each canon (5, 8, 11, 14, 17, 20, 23, 26, and 29) are what Kirkpatrick calls "arabesques"; they are variations in lively tempo with a great deal of hand-crossing. This ternary pattern—''canon'', ''genre piece'', ''arabesque''—is repeated a total of nine times, until the Quodlibet breaks the cycle. All the variations are in G major, apart from variations 15, 21, and 25, which are in G minor. At the end of the thirty variations, Bach writes ''Aria da Capo e fine'', meaning that the performer is to return to the beginning ("''da capo''") and play the aria again before concluding.


Aria

The aria is a
sarabande The sarabande (from es, zarabanda) is a dance in triple metre, or the music written for such a dance. History The Sarabande evolved from a Spanish dance with Arab influences, danced by a lively double line of couples with castanets. A dance cal ...
in
time Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future. It is a component quantity of various measurements used to sequence events, to ...
, and features a heavily ornamented melody: The French style of ornamentation suggests that the ornaments are supposed to be parts of the melody; however, some performers (for example
Wilhelm Kempff Wilhelm Walter Friedrich Kempff (25 November 1895 – 23 May 1991) was a German pianist and composer. Although his repertoire included Bach, Mozart, Chopin, Schumann, Liszt and Brahms, Kempff was particularly well known for his interpretations ...
on piano) omit some or all ornaments and present the aria unadorned. Williams opines that this is not the theme at all, but actually the first variation (a view emphasising the idea of the work as a chaconne rather than a piece in true variation form).


Variatio 1. a 1 Clav.

This sprightly variation contrasts markedly with the slow, contemplative mood of the aria. The rhythm in the right hand forces the emphasis on the second beat, giving rise to
syncopation In music, syncopation is a variety of rhythms played together to make a piece of music, making part or all of a tune or piece of music off-beat. More simply, syncopation is "a disturbance or interruption of the regular flow of rhythm": a "place ...
from bars 1 to 7. Hands cross at bar 13 from the upper register to the lower, bringing back this syncopation for another two bars. In the first two bars of the B part, the rhythm mirrors that of the beginning of the A part, but after this a different idea is introduced. Williams sees this as a sort of
polonaise The polonaise (, ; pl, polonez ) is a dance of Polish origin, one of the five Polish national dances in time. Its name is French for "Polish" adjective feminine/"Polish woman"/"girl". The original Polish name of the dance is Chodzony, meani ...
. The characteristic rhythm in the left hand is also found in Bach's Partita No. 3 for solo violin, in the A major prelude from the first book of ''
The Well-Tempered Clavier ''The Well-Tempered Clavier'', BWV 846–893, consists of two sets of preludes and fugues in all 24 major and minor keys for keyboard by Johann Sebastian Bach. In the composer's time, ''clavier'', meaning keyboard, referred to a variety of in ...
'', and in the D minor prelude of the second book. Heinz Niemüller also mentions the polonaise character of this variation.


Variatio 2. a 1 Clav.

This is a simple three-part contrapuntal piece in time, two voices engage in constant motivic interplay over an incessant bass line. Each section has an alternate ending to be played on the first and second repeat.


Variatio 3. Canone all'Unisono. a 1 Clav.

The first of the regular canons, this is a canon at the unison: the follower begins on the same note as the leader, a bar later. As with all canons of the ''Goldberg Variations'' (except the 27th variation, canon at the ninth), there is a supporting bass line. The time signature of and the many sets of
triplets A multiple birth is the culmination of one multiple pregnancy, wherein the mother gives birth to two or more babies. A term most applicable to vertebrate species, multiple births occur in most kinds of mammals, with varying frequencies. Such bir ...
suggest a kind of a simple dance.


Variatio 4. a 1 Clav.

Like the
passepied The passepied (, "pass-foot", from a characteristic dance step) is a French court dance. Originating as a kind of Breton branle, it was adapted to courtly use in the 16th century and is found frequently in 18th-century French opera and ballet, ...
, a Baroque dance movement, this variation is in time with a preponderance of quaver rhythms. Bach uses close but not exact
imitation Imitation (from Latin ''imitatio'', "a copying, imitation") is a behavior whereby an individual observes and replicates another's behavior. Imitation is also a form of that leads to the "development of traditions, and ultimately our culture. I ...
: the musical pattern in one part reappears a bar later in another (sometimes inverted). Each repeated section has alternate endings for the first or second time.


Variatio 5. a 1 ô vero 2 Clav.

This is the first of the hand-crossing, two-part variations. It is in time. A rapid melodic line written predominantly in sixteenth notes is accompanied by another melody with longer note values, which features very wide leaps: The Italian type of hand-crossing such as is frequently found in the sonatas of Scarlatti is employed here, with one hand constantly moving back and forth between high and low registers while the other hand stays in the middle of the keyboard, playing the fast passages.


Variatio 6. Canone alla Seconda. a 1 Clav.

The sixth variation is a canon at the second: the follower starts a major second higher than the leader. The piece is based on a descending scale and is in time. The harpsichordist Ralph Kirkpatrick describes this piece as having "an almost nostalgic tenderness". Each section has an alternate ending to be played on the first and second repeat.


Variatio 7. a 1 ô vero 2 Clav. al tempo di Giga

The variation is in meter, suggesting several possible Baroque dances. In 1974, when scholars discovered Bach's own copy of the first printing of the ''Goldberg Variations'', they noted that over this variation Bach had added the heading ''al tempo di Giga''. But the implications of this discovery for modern performance have turned out to be less clear than was at first assumed. In his book ''The Keyboard Music of J. S. Bach'' the scholar and keyboardist David Schulenberg notes that the discovery "surprised twentieth-century commentators who supposed gigues were always fast and fleeting." However, "despite the Italian terminology 'giga'' this is a ess fleetFrench gigue." Indeed, he notes, the dotted rhythmic pattern of this variation (pictured) is very similar to that of the gigue from Bach's second French suite and the gigue of the ''
French Overture The French overture is a musical form widely used in the Baroque period. Its basic formal division is into two parts, which are usually enclosed by double bars and repeat signs. They are complementary in style (slow in dotted rhythms and fast in f ...
''. This kind of gigue is known as a "Canary", based on the rhythm of a dance which originated from the Canary islands. He concludes, "It need not go quickly." Moreover, Schulenberg adds that the "numerous short trills and appoggiaturas" preclude too fast a tempo. The pianist Angela Hewitt, in the liner notes to her 1999 Hyperion recording, argues that by adding the ''al tempo di giga'' notation, Bach was trying to caution against taking too slow a tempo, and thus turning the dance into a forlane or
siciliano The siciliana or siciliano (also known as the sicilienne or the ciciliano) is a musical style or genre often included as a movement within larger pieces of music starting in the Baroque period. It is in a slow or time with lilting rhythms, ...
. She does however argue, like Schulenberg, that it is a French ''gigue'', not an Italian ''giga'' and does play it at an unhurried tempo.


Variatio 8. a 2 Clav.

This is another two-part hand-crossing variation, in time. The French style of hand-crossing such as is found in the clavier works of
François Couperin François Couperin (; 10 November 1668 – 11 September 1733) was a French Baroque composer, organist and harpsichordist. He was known as ''Couperin le Grand'' ("Couperin the Great") to distinguish him from other members of the musically talented ...
is employed, with both hands playing at the same part of the keyboard, one above the other. This is relatively easy to perform on a two-manual harpsichord, but quite difficult to do on a piano. Most bars feature either a distinctive pattern of eleven sixteenth notes and a sixteenth rest, or ten sixteenth notes and a single eighth note. Large leaps in the melody occur. Both sections end with descending passages in
thirty-second note In music, a thirty-second note (American) or demisemiquaver (British) is a Musical note, note played for of the duration of a whole note (or ''semibreve''). It lasts half as long as a sixteenth note (or ''semiquaver'') and twice as long as ...
s.


Variatio 9. Canone alla Terza. a 1 Clav.

This is a canon at the third, in time. The supporting bass line is slightly more active than in the previous canons.


Variatio 10. Fughetta. a 1 Clav.

Variation 10 is a four-voice fughetta, with a four-bar subject heavily decorated with
ornaments An ornament is something used for decoration. Ornament may also refer to: Decoration *Ornament (art), any purely decorative element in architecture and the decorative arts *Biological ornament, a characteristic of animals that appear to serve on ...
and somewhat reminiscent of the opening aria's melody. The exposition takes up the whole first section of this variation (pictured). First the subject is stated in the bass, starting on the G below middle C. The answer (in the tenor) enters in bar 5, but it's a tonal answer, so some of the intervals are altered. The soprano voice enters in bar 9, but only keeps the first two bars of the subject intact, changing the rest. The final entry occurs in the alto in bar 13. There is no regular counter-subject in this fugue. The second section develops using the same thematic material with slight changes. It resembles a counter-exposition: the voices enter one by one, all begin by stating the subject (sometimes a bit altered, like in the first section). The section begins with the subject heard once again, in the soprano voice, accompanied by an active bass line, making the bass part the only exception since it doesn't pronounce the subject until bar 25.


Variatio 11. a 2 Clav.

This is a virtuosic two-part toccata in time. Specified for two manuals, it is largely made up of various
scale Scale or scales may refer to: Mathematics * Scale (descriptive set theory), an object defined on a set of points * Scale (ratio), the ratio of a linear dimension of a model to the corresponding dimension of the original * Scale factor, a number ...
passages,
arpeggio A broken chord is a chord broken into a sequence of notes. A broken chord may repeat some of the notes from the chord and span one or more octaves. An arpeggio () is a type of broken chord, in which the notes that compose a chord are played ...
s and trills, and features much hand-crossing of different kinds.


Variatio 12. a 1 Clav. Canone alla Quarta in moto contrario

This is a canon at the fourth in time, of the inverted variety: the follower enters in the second bar in
contrary motion In music theory, contrapuntal motion is the general movement of two melodic lines with respect to each other. In traditional four-part harmony, it is important that lines maintain their independence, an effect which can be achieved by the judic ...
to the leader. In the first section, the left hand accompanies with a bass line written out in repeated quarter notes, in bars 1, 2, 3, 5, 6, and 7. This repeated note motif also appears in the first bar of the second section (bar 17, two Ds and a C), and, slightly altered, in bars 22 and 23. In the second section, Bach changes the mood slightly by introducing a few
appoggiatura An appoggiatura ( , ; german: Vorschlag or ; french: port de voix) is a musical ornament that consists of an added non-chord note in a melody that is resolved to the regular note of the chord. By putting the non-chord tone on a strong beat, (ty ...
s (bars 19 and 20) and trills (bars 29–30).


Variatio 13. a 2 Clav.

This variation is a slow, gentle and richly decorated sarabande in time. Most of the melody is written out using thirty-second notes, and ornamented with a few appoggiaturas (more frequent in the second section) and a few mordents. Throughout the piece, the melody is in one voice, and in bars 16 and 24 an interesting effect is produced by the use of an additional voice. Here are bars 15 and 16, the ending of the first section (bar 24 exhibits a similar pattern):


Variatio 14. a 2 Clav.

This is a rapid two-part hand-crossing toccata in time, with many trills and other ornamentation. It is specified for two manuals and features large jumps between registers. Both features (ornaments and leaps in the melody) are apparent from the first bar: the piece begins with a transition from the G two octaves below middle C, with a lower mordent, to the G two octaves above it with a trill with initial turn. Bach uses a loose inversion motif between the first half and the second half of this variation, "recycling" rhythmic and melodic material, passing material that was in the right hand to the left hand, and loosely (selectively) inverting it. Contrasting it with Variation 15, Glenn Gould described this variation as "certainly one of the giddiest bits of neo-Scarlatti-ism imaginable."


Variatio 15. Canone alla Quinta. a 1 Clav.: Andante

This is a canon at the fifth in time. Like Variation 12, it is in contrary motion with the leader appearing inverted in the second bar. This is the first of the three variations in G minor, and its melancholic mood contrasts sharply with the playfulness of the previous variation. Pianist Angela Hewitt notes that there is "a wonderful effect at the very end f this variation the hands move away from each other, with the right suspended in mid-air on an open fifth. This gradual fade, leaving us in awe but ready for more, is a fitting end to the first half of the piece." Glenn Gould said of this variation, "It's the most severe and rigorous and beautiful canon ... the most severe and beautiful that I know, the canon in inversion at the fifth. It's a piece so moving, so anguished—and so uplifting at the same time—that it would not be in any way out of place in the St. Matthew's Passion; matter of fact, I've always thought of Variation 15 as the perfect Good Friday spell."


Variatio 16. Ouverture. a 1 Clav.

The entire set of variations can be seen as being divided into two halves, clearly marked by this grand French overture, commencing with particularly emphatic opening and closing chords. It consists of a slow prelude with dotted
rhythm Rhythm (from Greek , ''rhythmos'', "any regular recurring motion, symmetry") generally means a " movement marked by the regulated succession of strong and weak elements, or of opposite or different conditions". This general meaning of regular recu ...
s with a following fugue-like
contrapuntal In music, counterpoint is the relationship between two or more musical lines (or voices) which are harmonically interdependent yet independent in rhythm and melodic contour. It has been most commonly identified in the European classical tradi ...
section. Here Bach follows his custom of beginning the second half of a major collection with a movement in French style, as with the earlier ''
Clavier-Übung Clavier-Übung, in more modern spelling Klavierübung, is German for "keyboard exercise". In the late 17th and early 18th centuries this was a common title for keyboard music collections: first adopted by Johann Kuhnau in 1689,Wollf (1991) p.189Boy ...
'' volumes, in both parts of the ''Well-Tempered Clavier'', in the '' Musical Offering'' (#4 of the numbered canons) and in the early version of the '' Art of Fugue'' (#7 of P 200).


Variatio 17. a 2 Clav.

This variation is another two-part virtuosic toccata. Peter Williams sees echoes of
Antonio Vivaldi Antonio Lucio Vivaldi (4 March 1678 – 28 July 1741) was an Italian composer, virtuoso violinist and impresario of Baroque music. Regarded as one of the greatest Baroque composers, Vivaldi's influence during his lifetime was widespread a ...
and
Domenico Scarlatti Giuseppe Domenico Scarlatti, also known as Domingo or Doménico Scarlatti (26 October 1685-23 July 1757), was an Italian composer. He is classified primarily as a Baroque composer chronologically, although his music was influential in the deve ...
here. Specified for two manuals, the piece features hand-crossing. It is in time and usually played at a moderately fast tempo.
Rosalyn Tureck Rosalyn Tureck (December 14, 1913 – July 17, 2003) was an American pianist and harpsichordist who was particularly associated with the music of Johann Sebastian Bach. However, she had a wide-ranging repertoire that included works by composers ...
is one of the very few performers who recorded slow interpretations of the piece. In making his 1981 re-recording of the ''Goldberg Variations'', Glenn Gould considered playing this variation at a slower tempo, in keeping with the tempo of the preceding variation (Variation 16), but ultimately decided not to because "Variation 17 is one of those rather skittish, slightly empty-headed collections of scales and arpeggios which Bach indulged when he wasn't writing sober and proper things like fugues and canons, and it just seemed to me that there wasn't enough substance to it to warrant such a methodical, deliberate, Germanic tempo."


Variatio 18. Canone alla Sesta. a 1 Clav.

This is a canon at the sixth in time. The canonic interplay in the upper voices features many
suspensions In chemistry, a suspension is a heterogeneous mixture of a fluid that contains solid particles sufficiently large for sedimentation. The particles may be visible to the naked eye, usually must be larger than one micrometer, and will eventually ...
. Commenting on the structure of the canons of the ''Goldberg Variations'', Glenn Gould cited this variation as the extreme example of "deliberate duality of motivic emphasis ... the canonic voices are called upon to sustain the
passacaille The passacaglia (; ) is a musical form that originated in early seventeenth-century Spain and is still used today by composers. It is usually of a serious character and is often based on a bass-ostinato and written in triple metre. Origin The ter ...
role which is capriciously abandoned by the bass."
Nicholas Kenyon Sir Nicholas Roger Kenyon CBE (born 23 February 1951, in Cheshire) is an English music administrator, editor and writer on music. He was responsible for the BBC Proms in 1996–2007, after which he was appointed Managing Director of the Barbican C ...
calls Variation 18 "an imperious, totally confident movement which must be among the most supremely logical pieces of music ever written, with the strict imitation to the half-bar providing ideal impetus and a sense of climax."


Variatio 19. a 1 Clav.

This is a dance-like three-part variation in time. The same sixteenth note figuration is continuously employed and variously exchanged between each of the three voices. This variation incorporates the rhythmic model of variation 13 (complementary exchange of quarter and sixteenth notes) with variations 1 and 2 (syncopations).


Variatio 20. a 2 Clav.

This variation is a virtuosic two-part toccata in time. Specified for two manuals, it involves rapid hand-crossing. The piece consists mostly of variations on the texture introduced during its first eight bars, where one hand plays a string of eighth notes and the other accompanies by plucking sixteenth notes after each eighth note. To demonstrate this, here are the first two bars of the first section:


Variatio 21. Canone alla Settima

The second of the three minor key variations, variation 21 has a tone that is somber or even tragic, which contrasts starkly with variation 20.Lederer, Victor.
Bach's Keyboard Music
', p. 121 (Hal Leonard Corporation, 2010).
The bass line here is one of the most eloquent found in the variations, to which Bach adds
chromatic interval Diatonic and chromatic are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony. They are very often used as a pai ...
s that provide tonal shadings. This variation is a canon at the seventh in time; Kenneth Gilbert sees it as an allemande despite the lack of anacrusis.Notes to Kenneth Gilbert's recording of the variations. The bass line begins the piece with a low note, proceeds to a slow lament bass and only picks up the pace of the canonic voices in bar 3: A similar pattern, only a bit more lively, occurs in the bass line in the beginning of the second section, which begins with the opening motif inverted.


Variatio 22. a 1 Clav. alla breve

This variation features four-part writing with many imitative passages and its development in all voices but the bass is much like that of a fugue. The only specified ornament is a trill which is performed on a
whole note A whole note (American) or semibreve (British) in musical notation is a single note equivalent to or lasting as long as two half notes or four quarter notes. Description The whole note or semibreve has a note head in the shape of a hollow ov ...
and which lasts for two bars (11 and 12). The ground bass on which the entire set of variations is built is heard perhaps most explicitly in this variation (as well as in the Quodlibet) due to the simplicity of the bass voice.


Variatio 23. a 2 Clav.

Another lively two-part virtuosic variation for two manuals, in time. It begins with the hands chasing one another, as it were: the melodic line, initiated in the left hand with a sharp striking of the G above middle C, and then sliding down from the B one octave above to the F, is offset by the right hand, imitating the left at the same pitch, but a quaver late, for the first three bars, ending with a small flourish in the fourth: This pattern is repeated during bars 5–8, only with the left hand imitating the right one, and the scales are ascending, not descending. We then alternate between hands in short bursts written out in short note values until the last three bars of the first section. The second section starts with this similar alternation in short bursts again, then leads to a dramatic section of alternating thirds between hands. Williams, marvelling at the emotional range of the work, asks: "Can this really be a variation of the same theme that lies behind the adagio no 25?"


Variatio 24. Canone all'Ottava. a 1 Clav.

This variation is a canon at the octave, in time. The leader is answered both an octave below and an octave above; it is the only canon of the variations in which the leader alternates between voices in the middle of a section.


Variatio 25. a 2 Clav.: Adagio

Variation 25 is the third and last variation in G minor; it is marked
adagio Adagio (Italian for 'slowly', ) may refer to: Music * Adagio, a Tempo#Basic tempo markings, tempo marking, indicating that music is to be played slowly, or a composition intended to be played in this manner * Adagio (band), a French progressive m ...
in Bach's own copy and is in time. The melody is written out predominantly in sixteenth and thirty-second notes, with many
chromaticism Chromaticism is a compositional technique interspersing the primary diatonic scale, diatonic pitch (music), pitches and chord (music), chords with other pitches of the chromatic scale. In simple terms, within each octave, diatonic music uses o ...
s. This variation generally lasts longer than any other piece of the set.
Wanda Landowska Wanda Aleksandra Landowska (5 July 1879 – 16 August 1959) was a Polish harpsichordist and pianist whose performances, teaching, writings and especially her many recordings played a large role in reviving the popularity of the harpsichord in t ...
famously described this variation as "the black pearl" of the ''Goldberg Variations''. Williams writes that "the beauty and dark passion of this variation make it unquestionably the emotional high point of the work", and Glenn Gould said that "the appearance of this wistful, weary
cantilena A cantilena (Italian for "lullaby" and Latin for "old, familiar song") is a vocal melody or instrumental passage in a smooth, lyrical style. References {{classical-music-stub Classical music styles ...
is a master-stroke of psychology." In an interview with Gould, Tim Page described this variation as having an "extraordinary chromatic texture"; Gould agreed: "I don't think there's been a richer lode of
enharmonic In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently. The enharmonic spelling of a written n ...
relationships any place between Gesualdo and
Wagner Wilhelm Richard Wagner ( ; ; 22 May 181313 February 1883) was a German composer, theatre director, polemicist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most op ...
."


Variatio 26. a 2 Clav.

In sharp contrast with the introspective and passionate nature of the previous variation, this piece is another virtuosic two-part toccata, joyous and fast-paced. Underneath the rapid arabesques, this variation is basically a sarabande. Two time signatures are used, for the incessant melody written in sixteenth notes and for the accompaniment in quarter and eighth notes; during the last five bars, both hands play in .


Variatio 27. Canone alla Nona. a 2 Clav.

Variation 27 is the last canon of the piece, at the ninth and in time. This is the only canon where two manuals are specified not due to hand-crossing difficulties, and the only pure canon of the work, because it does not have a bass line.


Variatio 28. a 2 Clav.

This variation is a two-part toccata in time that employs a great deal of hand crossing. Trills are written out using thirty-second notes and are present in most of the bars. The piece begins with a pattern in which each hand successively picks out a melodic line while also playing trills. Following this is a section with both hands playing in contrary motion in a melodic contour marked by sixteenth notes (bars 9–12). The end of the first section features trills again, in both hands now and mirroring one another: The second section starts and closes with the contrary motion idea seen in bars 9–12. Most of the closing bars feature trills in one or both hands.


Variatio 29. a 1 ô vero 2 Clav.

This variation consists mostly of heavy chords alternating with sections of brilliant arpeggios shared between the hands. It is in time. A rather grand variation, it adds an air of resolution after the lofty brilliance of the previous variation. Glenn Gould states that variations 28 and 29 present the only case of "motivic collaboration or extension between successive variations."


Variatio 30. a 1 Clav. Quodlibet

This quodlibet is based on multiple German folk songs, two of which are ''Ich bin solang nicht bei dir g'west, ruck her, ruck her'' ("I have so long been away from you, come closer, come closer") and ''Kraut und Rüben haben mich vertrieben, hätt mein' Mutter Fleisch gekocht, wär ich länger blieben'' ("Cabbage and turnips have driven me away, had my mother cooked meat, I'd have opted to stay"). The others remain unknown. The ''Kraut und Rüben'' theme, under the title of ''La Capricciosa'', had previously been used by Dieterich Buxtehude for his thirty-two partite in G major, BuxWV 250. Bach's biographer Forkel explains the Quodlibet by invoking a custom observed at Bach family reunions (Bach's relatives were almost all musicians):
As soon as they were assembled a chorale was first struck up. From this devout beginning they proceeded to jokes which were frequently in strong contrast. That is, they then sang popular songs partly of comic and also partly of indecent content, all mixed together on the spur of the moment. ... This kind of improvised harmonizing they called a Quodlibet, and not only could laugh over it quite whole-heartedly themselves, but also aroused just as hearty and irresistible laughter in all who heard them.
Forkel's anecdote (which is likely to be true, given that he was able to interview Bach's sons), suggests fairly clearly that Bach meant the Quodlibet to be a joke.


Aria da Capo

A note-for-note repeat of the aria at the beginning. Williams writes that the work's "elusive beauty ... is reinforced by this return to the Aria. ... no such return can have a neutral ''
Affekt The doctrine of the affections, also known as the ''doctrine of affects'', ''doctrine of the passions'', ''theory of the affects'', or by the German term Affektenlehre (after the German ''Affekt''; plural ''Affekte'') was a theory in the aesthe ...
''. Its melody is made to stand out by what has gone on in the last five variations, and it is likely to appear wistful or nostalgic or subdued or resigned or sad, heard on its repeat as something coming to an end, the same notes but now final."


Canons on the Goldberg ground, BWV 1087

When Bach's personal copy of the printed edition of the ''Goldberg Variations'' (see above) was discovered in 1974, it was found to include an appendix in the form of fourteen canons built on the first eight bass notes from the aria. It is speculated that the number 14 refers to the ordinal values of the letters in the composer's name: B(2) + A(1) + C(3) + H(8) = 14. Among those canons, the eleventh and the thirteenth are first versions of BWV 1077 and BWV 1076; the latter is included in the famous portrait of Bach painted by
Elias Gottlob Haussmann Elias Gottlob Haussmann (also ''Haußmann'' or ''Hausmann'') (1695 – 11 April 1774) was a German painter in the Rococo, late Baroque era. Haussmann served as court painter at Dresden, and from 1720 as the official Portrait painting, port ...
in 1746.


Transcribed and popularized versions

The ''Goldberg Variations'' has been reworked freely by many performers, changing either the instrumentation, the notes, or both. The Italian composer Busoni prepared a greatly altered transcription for piano. According to the art critic
Michael Kimmelman Michael Kimmelman (born May 8, 1958) is the architecture critic for ''The New York Times'' and has written about public housing, public space, landscape architecture, community development and equity, infrastructure and urban design. He has report ...
, "Busoni shuffled the variations, skipping some, then added his own rather voluptuous coda to create a three-movement structure; each movement has a distinct, arcing shape, and the whole becomes a more tightly organized drama than the original." Other arrangements include: * 1883: Josef Rheinberger, transcription (tr.) for two pianos, Op. 3 (rev.
Max Reger Johann Baptist Joseph Maximilian Reger (19 March 187311 May 1916) was a German composer, pianist, organist, conductor, and academic teacher. He worked as a concert pianist, as a musical director at the Paulinerkirche, Leipzig, Leipzig University ...
) * 1912: Karl Eichler, tr. for piano four hands * 1938:
Józef Koffler Józef Koffler (28 November 18961944) was a Polish composer, music teacher, musicologist and musical columnist. He was the first Polish composer living before the Second World War to apply the twelve-tone composition technique (dodecaphony). ...
, tr. for
orchestra An orchestra (; ) is a large instrumental ensemble typical of classical music, which combines instruments from different families. There are typically four main sections of instruments: * bowed string instruments, such as the violin, viola, c ...
/
string orchestra A string orchestra is an orchestra consisting solely of a string section made up of the bowed strings used in Western Classical music. The instruments of such an orchestra are most often the following: the violin, which is divided into first ...
* 1975:
Charles Ramirez Charles Ramirez (born 1953) is a concert guitarist based in London. He is also Professor of guitar at the Royal College of Music. Biography Early life Charles Ramirez was born on 2 September 1953 in Gibraltar. He studied with William Gomez MB ...
and Helen Kalamuniak, tr. for two guitars * 1982: Lynn Harting-Ware, aria and variations 1, 2, 4, 13, 19, 9, 7, 15, 27, and 30 for guitar (in the order she plays them on her ''Forest Scenes'' album). * 1984:
Dmitry Sitkovetsky Dmitry Yulianovich Sitkovetsky (russian: Дмитрий Юлианович Ситковецкий; born September 27, 1954) is a Soviet-Russian born classical violinist, conductor and arranger, most notably of an arrangement for strings of J. S. ...
, tr. for string trio (rev. in 2009; he also made an arrangement for string orchestra in 1992) * 1987:
Jean Guillou Jean Victor Arthur Guillou (18 April 1930 – 26 January 2019) was a French composer, organist, pianist, and pedagogue. Titular Organist at Saint Eustache in Paris, from 1963 to 2015, he was widely known as a composer of instrumental and vocal ...
, tr. for
organ Organ may refer to: Biology * Organ (biology), a part of an organism Musical instruments * Organ (music), a family of keyboard musical instruments characterized by sustained tone ** Electronic organ, an electronic keyboard instrument ** Hammond ...
* 1988:
Joel Spiegelman Joel Spiegelman is an American composer, conductor, concert pianist, harpsichordist, recording artist, arranger, author and teacher. As a composer, Spiegelman has been widely known for his blending of techniques from traditional classical music, ...
, tr. for Kurzweil 250 Digital Synthesizer * 1996: Kurt Rodarmer, tr. for
guitar The guitar is a fretted musical instrument that typically has six strings. It is usually held flat against the player's body and played by strumming or plucking the strings with the dominant hand, while simultaneously pressing selected stri ...
* 1997: József Eötvös, tr. for guitar * 1999 (at the latest):
Bernard Labadie Bernard Labadie (born March 27, 1963) is a conductor of classical and baroque music, artistic director, and musical director. He was born in Quebec City, Canada and graduated from the School of Music at Laval University. During Labadie's education ...
tr. for
string orchestra A string orchestra is an orchestra consisting solely of a string section made up of the bowed strings used in Western Classical music. The instruments of such an orchestra are most often the following: the violin, which is divided into first ...
and continuo * 2000:
Jacques Loussier Jacques Loussier (26 October 1934 – 5 March 2019) was a French pianist and composer. He arranged jazz interpretations of many of the works of Johann Sebastian Bach, such as the ''Goldberg Variations''. The Jacques Loussier Trio, founded in 19 ...
, arrangement (arr.) for jazz trio * 2000: Uri Caine, arr. for various ensembles * 2003:
Karlheinz Essl Karlheinz Essl (born 15 August 1960) is an Austrian composer, performer, sound artist, improviser, and composition teacher. Biography Essl was born in Vienna. His studies at the University of Music in Vienna included: composition (under Friedri ...
, ''Gold.Berg.Werk'', arr. for string trio and live electronics"''Gold.Berg.Werk''"
essl.at
* 2009: Catrin Finch, complete tr. for harp * 2010: David Maslanka, tr. for
saxophone The saxophone (often referred to colloquially as the sax) is a type of single-reed woodwind instrument with a conical body, usually made of brass. As with all single-reed instruments, sound is produced when a reed on a mouthpiece vibrates to pr ...
quartet * 2011: James Strauss, complete tr. for
flute The flute is a family of classical music instrument in the woodwind group. Like all woodwinds, flutes are aerophones, meaning they make sound by vibrating a column of air. However, unlike woodwind instruments with reeds, a flute is a reedless ...
and harpsichord/flute and piano * 2011:
Dan Tepfer Dan Tepfer (born 1982 in Paris, France) is a French-American jazz pianist and composer. He is best known for his 2011 album ''Goldberg Variations/Variations'' and his 2019 multimedia project ''Natural Machines''. Biography Dan Tepfer grew up in ...
, ''Goldberg Variations/Variations'', each original variation followed by a jazz improvisation based on that variation * 2012: Karlheinz Essl, ''Gold.Berg.Werk'' arr. for piano, transducer and live-electronics * 2016:
Mika Pohjola Mika Pohjola ( (born December 1, 1971) is a Finnish-born jazz pianist and composer who resides in Stockholm. He is one of the most prolific Scandinavian jazz musicians in his generation. Biography Childhood in Helsinki, Finland 1971-87 Mika P ...
, arr. for piano, harpsichord and string quartet * 2017:
Rinaldo Alessandrini Rinaldo Alessandrini (born 25 January 1960) is a virtuoso on Baroque keyboards, including harpsichord, fortepiano, and organ. He is founder and conductor of the Italian early music ensemble Concerto Italiano, performing music of Monteverdi, Vivaldi ...
and
Concerto Italiano Concerto Italiano is an Italian early music ensemble well known for their interpretations of Monteverdi and Vivaldi, among others. The historically informed performance ensemble was formed by the harpsichordist Rinaldo Alessandrini, and made its ...
, ''Variations on Variations'', arr. for ensemble *2018:
Caio Facó Caio Facó (born May 16, 1992) is a Brazilian composer. Biography Facó worked as a composer in residence for Ensemble MPMP (Portugal, 2017) and Orquestra de Câmara de Valdivia (Chile, 2017–19). He also worked with the International Contemp ...
, orchestration for chamber orchestra *2018: Marcela Mendez and Maria Luisa Rayan, tr. for two harps *2020: Parker Ramsay, Bach: Goldberg Variations (arranged for harp)


Editions of the score

*
Ralph Kirkpatrick Ralph Leonard Kirkpatrick (; June 10, 1911April 13, 1984) was an American harpsichordist and musicologist, widely known for his chronological catalog of Domenico Scarlatti's keyboard sonatas as well as for his performances and recordings. Life ...
. New York/London: G. Schirmer, 1938. Contains an extensive preface by the editor and a facsimile of the original title page. *
Hans Bischoff Hans Bischoff (30 November 1889 – 18 March 1960) was a German entomologist from Berlin Berlin ( , ) is the capital and List of cities in Germany by population, largest city of Germany by both area and population. Its 3.7 million inha ...
. New York: Edwin F. Kalmus, 1947 (editorial work dates from the nineteenth century). Includes interpretive markings by the editor not indicated as such. * Christoph Wolff. Vienna: Wiener Urtext Edition, 1996. An urtext edition, making use of the new findings (1975) resulting from the discovery of an original copy hand-corrected by the composer. Includes suggested fingerings and notes on interpretation by the harpsichordist Huguette Dreyfus. *Reinhard Böß. München: edition Text+Kritik, 1996. Verschiedene Canones ... von J. S. Bach (BWV 1087). Edition of the canons in BWV 1087 only. The editor suggests a complete complement of all fourteen canons. *Werner Schweer, 2012. The Goldberg Variations, MuseScore Edition created for th
Open Goldberg Variations Project
and released as public domain. Available online a
MuseScore.com


See also

* ''Goldberg Variations'' discography * '' Goldberg Variations'', a satirical play by
George Tabori George Tabori ( György Tábori; 24 May 1914 – 23 July 2007) was a Hungarian writer and theatre director. Life and career Tabori was born in Budapest as György Tábori, a son of Kornél and Elsa Tábori. His father Kornél (Cornelius) was m ...


Notes

Sources * * * * *


Further reading

* Forkel, Johann Nikolaus (1802). ''Über Johann Sebastian Bachs Leben, Kunst, und Kunstwerke'' ("On Johann Sebastian Bach's Life, Art and Work"). A recent reprint is by Henschel Verlag, Berlin, 2000; . An English translation was published by Da Capo Press in 1970. *Niemüller, Heinz Hermann (1985). "Polonaise und Quodlibet: Der innere Kosmos der Goldberg-Variationen" in ''Johann Sebastian Bach: Goldberg Variationen,'' Musik-Konzepte 42 (Kassel: Bärenreiter), pp. 3–28, esp. 22–26. *Schiassi, Germana (2007). ''Johann Sebastian Bach. Le Variazioni Goldberg''. Bologna: Albisani Editore. . *Fiore, Carlo (2009). ''Bach Goldberg Beethoven Diabelli''. Palermo: L'Epos. . *Velikovskiy, Alexander (2021). Goldberg Variations by J.S. Bach. Saint Petersburg: Planeta Musiki .
n Russian N, or n, is the fourteenth letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''en'' (pronounced ), plural ''ens''. History ...
* Kennicott, Philip, Counterpoint: a Memoir of Bach and Mourning, WW Norton & Company, New York, 2020, ISBN 978-0-393-86838-8


External links


Goldberg Week at NPR's Deceptive Cadence

Video showing how the fifth canon of BWV 1087 can be written on a clear Mobius strip


Online scores

*
''Goldberg Variations''
on
Mutopia The Mutopia Project is a volunteer-run effort to create a library of free content sheet music, in a way similar to Project Gutenberg's library of public domain books. It started in 2000.Portal page at thInternet ArchiveRetrieved January 24, 2 ...

Animated graphical scores of the ''Goldberg Variations''
with harpsichord performances by Colin Booth


Essays


"Goldberg Variations – The Best Recordings"
– theclassicreview.com

– Review of Glenn Gould's and Simone Dinnerstein's renditions

– graphical analysis enables you to see the leader and follower in the canons
J.S. Bach, the architect and servant of the spiritual – a closer look at the ''Goldberg Variations''


Recordings


Public-domain piano recording
by Kimiko Ishizaka (Open Goldberg Variations project), with linked newly edited score.
Bach-cantatas.com: The ''Goldberg Variations''
– Comprehensive discography

– Reviews of many recordings {{Authority control Compositions by Johann Sebastian Bach Compositions for harpsichord Variations 1741 compositions Compositions in G major