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upper voices move about more freely. (The inescapable Pachelbel Canon is an ostinato exercise in a lulling major key.) The interplay between independent treble and locked-in bass acquires additional drama when the bass lines are bellowed out on the organ’s pedal notes—sixteen- and even thirty-two-foot pipes activated by the feet. Bach’s Passacaglia in C Minor, a looser kind of ostinato piece, begins with the bass alone, in a pattern that winds upward from the initial C before spiraling down an octave and a half to a bottom C that should be heard less as a note than as a minor earthquake. Bach was especially attracted to bass lines that crawled along chromatic steps. One of these shows up in the third movement of the playful little suite Capriccio on the Departure of a Beloved Brother, one of Bach’s earliest extant works. In the 1714 cantata “Weinen, Klagen, Sorgen, Zagen,” a corkscrew chromatic bass portrays the “weeping, wailing, fretting, and quaking” of Christ’s followers.

      When, in 1723, Bach took up the position of cantor at St. Thomas School in Leipzig, he pledged that his music would be “of such a nature as not to make an operatic impression, but rather incite the listeners to devotion.” In employing Italian opera devices such as the lamento bass, he might have been trying to sublimate them, taming a dangerously sultry form. A man of religious convictions, Bach wrote in the margins of his favorite Bible commentary that music was “ordered by God’s spirit through David” and that devotional music showed the “presence of grace.” At the same time, though, his arioso melodies had the potential to undermine the austerity of the Lutheran service; even if he never wrote an opera, he displayed operatic tendencies. He presumably understood these contradictions, and possibly relished them. His comment about the “presence of grace” pertained to a faintly occult description of music-making at the Temple, in the second book of Chronicles: “It came even to pass, as the trumpeters and the singers were as one, to make one sound to be heard in praising and thanking the Lord … The house was filled with a cloud, even the house of the Lord.”

      The Ciaccona for solo violin, which Bach composed in 1720 as part of his cycle of Sonatas and Partitas, possesses something like that ominous, cloudlike presence. It takes the form of sixty-four variations on a four-bar theme in D minor, with each four-bar segment generally repeated before the next variation begins. But the melodic strands of the opening bars—both treble and bass—disappear for long stretches as Bach explores new material. The “theme” is really a set of chords, framing limitless flux. (The copy reproduced on the previous page was probably made not long after Bach’s death.) Lament figures crop up throughout, sometimes plainly presented and sometimes hidden in the seams. A D-major middle section functions as a respite from the prevailing gloom of the piece, yet the apparition of a descending chromatic line high in the treble hints that these brighter days won’t last. Soon after, D minor returns, with a four-note lament motif planted firmly in the bass—the shade of “Fors seulement,” Lachrimae, and Lamento della ninfa.

      It would appear that Bach has gone beyond rituals of mourning to a solitary, existential agony. In the words of Susan McClary, “the lone violinist must both furnish the redundant ostinato and also fight tooth and nail against it.” For McClary, the chaconne has become a formal prison for the struggling self. But Bach hasn’t entirely forgotten the sway of the dance. Alexander Silbiger, in a revealing essay, draws attention to passages of “repeated strumming,” “rustling arpeggiations,” “sudden foot-stamping.” Often Bach tests the limits of his variation scheme and lands back in D minor with a precarious lunge: “Some of these ventures bring to mind a trapeze artist, who swings further and further, reaching safety only at the last instant and leaving his spectators gasping.” The violin’s more florid gestures also make Silbiger think of jazz artists and sitar players, who “create the illusion of taking momentary flight from the solid ground that supports their improvisations, to the occasional bewilderment of their fellow performers.” In the end, the Ciaccona might be a grave dance before the Lord, the ballet of the soul in the course of a life.

      In 1748 and 1749, the last full years of his earthly existence, Bach assembled his Mass in B Minor, rearranging extant works and writing new material in a quest for a comprehensive union of Catholic and Lutheran traditions. At the heart of the Mass is the section of the Credo that deals with the death of Jesus Christ on the cross:

       Crucifixus etiam pro nobis He was also crucified for us

       sub Pontio Pilato, passus under Pontius Pilate, suffered,

       et sepultus est. and was buried.

      To find music for this text, Bach went back thirty-five years in his output, to the “Weinen, Klagen, Sorgen, Zagen” chorus, with its twelve somber soundings of a chromatic bass. But he stepped up the pulsation of the ground, so that instead of three half notes per bar we hear a faster, tenser rhythm of six quarter notes per bar. He changed the instrumentation, adding breathy flutes to tearful strings. He inserted a brief instrumental prelude, so that, as in Purcell, we first hear the bass line without the voices. Bach thus expanded the structure from twelve to thirteen parts. Whether he intended any symbolism in the number thirteen is unknown, although most of his listeners would have been aware that the Last Supper had thirteen guests. This is in Bach’s own hand:

      As in Didone and Dido and Aeneas, the chromatic pattern evokes an individual pinned down by fate. This time, the struggler is not a woman but a man, one who knows full well what fate has in store. Bach makes Jesus Christ seem pitiably human at the moment of his ultimate suffering, so that believers may confront more directly their own grief and guilt. (Martin Luther vilified the Jews, but he also preached that Christians should hold none but themselves responsible for Christ’s killing.) It is a quasi-operatic scene, although it is witnessed at a properly awed distance. The voices wend away from the bass, moving in various directions. There are slowly pulsing chords of strings on the first and third beats, flutes on the second and third: they suggest something dripping, perhaps blood from Christ’s wounds, or tears from the eyes of his followers. In the thirteenth iteration, the bass singers give up their contrary motion and join the trudge of the continuo section. The sopranos, too, follow a chromatic path. The upper instruments fall silent, as if the dripping has stopped and life is spent. Fate’s victory seems complete. But then the bass suddenly reverses direction, and there is a momentous swerve from E minor into the key of G major. On the next page, the Resurrection begins.

      ROMANTIC VARIATIONS

      Bach died in 1750, and the Baroque era more or less died with him. Forms of rigid repetition lost their appeal as the Baroque gave way to the Classical period and then to the Romantic: increasingly, composers valued constant variation, sudden contrast, unrelenting escalation. Music became linear rather than circular, with large-scale structures proceeding from assertive thematic ideas through episodes of strenuous development to climaxes of overwhelming magnitude. “Time’s cycle had been straightened into an arrow, and the arrow was traveling ever faster,” the scholar Karol Berger writes. Music would no longer react to an exterior order; instead, it would become a kind of aesthetic empire unto itself. In 1810, E.T.A. Hoffmann wrote a review of Beethoven’s Fifth Symphony in which he differentiated the Romantic ethos from the more restrained spirit of prior centuries: “Orpheus’s lyre opened the gates of Orcus. Music reveals to man an unknown realm, a world quite separate from the outer sensual world surrounding him, a world in which he leaves behind all feelings circumscribed by intellect in order to embrace the inexpressible.”

      For composers of Mozart’s time and after, the chaconne, the passacaglia, and the lamento aria would have been antique devices learned from manuals of counterpoint and the like. Yet they never disappeared entirely. Beethoven studied Bach in his youth, and at some point he came across the B-Minor Mass, or a description of it; in 1810 he asked his publisher to send him “a Mass by J. S. Bach that has the following Crucifixus with a basso ostinato as obstinate as you are”—and he wrote out the “Crucifixus” bass line. Beethoven was undoubtedly thinking of Bach when, in his Thirty-two Variations in C

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