Goldberg Variations

"The Goldberg Variations is the last of a series of keyboard music Johann Sebastian Bach published under the title of Clavierübung, and is often regarded as the most serious and ambitious composition ever written for harpsichord. Based on a single ground bass theme, the variations display not only Bach's exceptional knowledge of diverse styles of music of the day but also his exquisite performing techniques. Being also the largest of all clavier pieces published during the Baroque period, the work soars high above others in terms of its encyclopedic character. From this, it is often considered that it sums up the entire history of Baroque variation, the Diabelli Variations by Beethoven being the Classical counterpart.

(...)

The music analyses that explore various possible interpretations of the work, such as multi-layered structural divisions and groupings, may be intellectually satisfying. We cannot always determine, however, the extent to which they are based on Bach's real intentions (which can be justified from historical context) from hypothetical theories based primarily on our subjective invention. It is, indeed, very difficult to sift valid and authentic interpretations from so many speculative approaches which Bach's music attracts. For instance, in his article of 1984, David Humphreys claims that the unifying device of the work is the allegorical scheme of the work, which represents an ascent through the nine spheres of Ptolemaic cosmology, and he discredits the general consensus among listeners and players, that the work represents a purely musical unifying device, as a mistake. Humphreys first divides twenty-seven variations into three cycles, and names them as Canon (3, 6, 9 ... 27), Planet (4, 7, 10 ... 28) and Virtuoso (5, 8, 11 ... 29), then makes various attempts to associate Plato's cosmological philosophy and geometry with Bach's understanding of Affektenlehre seen in his means of expression. Still we are not at all sure whether Bach, who must have been deeply engrossed with his other duties, ever had the intention or inclination to undertake such highly abstract and profound mathematical stuff. It is amazing, to say the least, that the Goldberg Variations can also 'refresh ... spirits' of musicologists who were not able to share such experiences from listening to the work."
-- http://www.pentaone.com/hannibal/goldberg.shtml --


"The Goldberg Variations begin with an Aria Bach had composed in 1725, possibly for his wife This Aria appears in Anna Magdalena's Notebook, where it is written in her own hand. The Sarabande-like Aria becomes theme for a set of 30 variations to follow."

An analysis of each canon may be found at:
http://jan.ucc.nau.edu/~tas3/goldbergcanons.html