Ultimate Edition Goldberg

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Lida Rick

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Aug 3, 2024, 6:00:43 PM8/3/24
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What does this mean? Inversion is an age-old musical process in which musical material is turned upside-down, similarly to the reflected text on the title page of this edition. It does not mean that the music is played backwards, which is a different process called retrograde. With inversion, the arrow of time still points forward, but any motion upwards is reflected to a motion downwards, and vice-versa.

There are two ways of inverting: diatonically and chromatically. In diatonic inversion, the transformation occurs within the frame of a key or scale. We find this type of inversion throughout the original text of the Goldberg Variations. For example, Variations 12 and 15, titled Canon at the Fourth and Canon at the Fifth respectively, are in fact inverted canons. In these two outliers among the nine canons of the Goldbergs, the melody of the initial voice gets inverted diatonically before its repetition in the second voice. In Variation 12, the axis of inversion is between the E and F at the bottom of the treble staff, causing the G at the bottom of the staff to invert to the D a fourth below:

With diatonic inversion, intervals invert to the same interval, but the quality of that interval is allowed to change to fit the local tonality. A major third, for example, may invert to a minor third; a minor second to a major second, as can be seen in the examples above. In contrast, the process of chromatic inversion preserves every interval completely, all the way down to its quality: a minor second always inverts to a minor second, a major third to a major third, a perfect fourth to a perfect fourth, and so on.

This Haggadah, written by Rabbi Nathan Goldberg, has become the go-to version for synagogues, schools, and households alike. With an easily comprehensible English translation, precise instructions, and numbered lines for both Hebrew and English, this Passover Haggadah is the definitive and most widely recognized edition. The multi-colored paper cover and numbered lines make it simple for the seder leader to announce the page and line number, allowing all participants to actively engage in the service.

[For this work] we have to thank the instigation of the former Russian ambassador to the electoral court of Saxony, Count Kaiserling, who often stopped in Leipzig and brought there with him the aforementioned Goldberg, in order to have him given musical instruction by Bach. The Count was often ill and had sleepless nights. At such times, Goldberg, who lived in his house, had to spend the night in an antechamber, so as to play for him during his insomnia. ... Once the Count mentioned in Bach's presence that he would like to have some clavier pieces for Goldberg, which should be of such a smooth and somewhat lively character that he might be a little cheered up by them in his sleepless nights. Bach thought himself best able to fulfill this wish by means of Variations, the writing of which he had until then considered an ungrateful task on account of the repeatedly similar harmonic foundation. But since at this time all his works were already models of art, such also these variations became under his hand. Yet he produced only a single work of this kind. Thereafter the Count always called them his variations. He never tired of them, and for a long time sleepless nights meant: "Dear Goldberg, do play me one of my variations." Bach was perhaps never so rewarded for one of his works as for this. The Count presented him with a golden goblet filled with 100 Louis d'or. Nevertheless, even had the gift been a thousand times larger, their artistic value would not yet have been paid for.

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. Williams (2001) contends that the Forkel story is entirely spurious.

Arnold Schering has suggested that the aria on which the variations are based was not written by Bach.[citation needed] More recent scholarly literature (such as the edition by Christoph Wolff) suggests that there is no basis for such doubts.

Rather unusually for Bach's works,[2] the Goldberg Variations were published in his own lifetime, in 1741. The publisher was Bach's friend Balthasar Schmid of Nuremberg. 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.

Nineteen copies of the first edition survive today. Of these, the most valuable is the Handexemplar (Bach's personal copy of the published score),[5] discovered in 1974 in Strasbourg by the French musicologist Olivier Alain and now kept in the Bibliothque nationale de France, Paris. This copy includes printing corrections made by the composer and additional music in the form of fourteen canons on the Goldberg ground (see below). 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 copied the aria from the autograph score around 1740; it appears on two pages previously left blank.

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.

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 harpsichordist and musicologist Ralph Kirkpatrick in his performing edition[6] as follows.

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 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.

The French style of ornamentation suggests that the ornaments are supposed to be parts of the melody; however, some performers (for example Wilhelm Kempff on piano) omit some or all ornaments and present the aria unadorned.

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 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.

This is a simple three-part contrapuntal piece in 2
4 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.

Like the passepied, a Baroque dance movement, this variation is in 3
8 time with a preponderance of quaver rhythms. Bach uses close but not exact imitation: the musical pattern in one part reappears a bar later in another (sometimes inverted).

This is the first of the hand-crossing, two-part variations. It is in 3
4 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.

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 3
8 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.

The variation is in 6
8 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[8] 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 [less fleet] French 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. This kind of gigue is known as a "Canary", based on the rhythm of a dance which originated from the Canary islands.

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. She does however argue, like Schulenberg, that it is a French gigue, not an Italian giga and does play it at an unhurried tempo.

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