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At the age of six, Kepler’s son Frederick died of smallpox. A few months later, Kepler’s wife, Barbara, died of typhus. Two other children, Henry and Susanna, had died in infancy.

Like many others of his age, Kepler spent much of his adult life cultivating favor from the nobility. He was habitually penniless and was often reduced, as his correspondence shows, to begging for handouts. He was the victim of religious persecution, though luckier in this regard than some.

After he married for a second time, three more children died in infancy, a statistic that in theory carries less emotional weight than one might think, given the accepted levels of infant mortality for that era.

In 1619, despite the facts cited above, Kepler published De Harmonice Mundi, a text in which he set out to establish the correspondence between the laws of harmony and the disposition of planets in motion. In brief, Kepler argued that certain intervals, such as the octave, major and minor sixths, and major and minor thirds, were pleasurable, while other intervals were not. History indicated that mankind had always regarded certain intervals as unpleasant. Feeling that this set of universal tastes pointed to immutable laws, Kepler sought to map out the pleasurable intervals geometrically, and then to transfer that geometrical pattern to the order of the planets. The velocity of the planets, rather than their strict placement, constituted the harmony of the spheres. This velocity provided each planet with a note, what Armitage called a “term in a mathematically determined relation.”

In fact, each planet performed a short musical scale, set down by Kepler in staff notation. The length of the scale depended upon the eccentricity of the orbit; and its limiting notes could generally be shown to form a concord (except for Venus and the Earth with their nearly circular orbits, whose scales were of very constricted range) … at the Creation … complete concord prevailed and the morning stars sang together.

We began to eat dinner together. Accustomed to solitude, we did not always engage in conversation. I would read the newspaper or ink in letters on my geometrically patterned crossword puzzles at my end of the table, while Karen would read detective novels or Time at hers. If she had cooked, I would clear and wash the dishes. If I had cooked, she did the cleaning. Experience and disappointments had made us methodical. She told me that she had once despised structured experiences governed by timetables, but that after several manic-depressive episodes, she had learned to love regularity. This regularity included taking lithium at the same time — to the minute — each day.

The season being summer, we would pack towels and swimming suits after dinner and drive out to one of several public beaches, where we would swim until darkness came on. On calm evenings, Karen would drop her finger in the water and watch the waves lap outward. I favored immature splashing, or grabbing her by the arm and whirling her around me until I released her and she would spin back and fall into the water, laughing as she sank. One evening, we found a private beach, two hundred feet of sand all to ourselves, on a lake thirty miles out of town. Framed on both sides by woods and well hidden from the highway, this beach had the additional advantage of being unpatrolled. We had no bathhouse in which to change, however, so Karen instructed me not to look as she walked about fifty feet away to a spot where she undressed and put on her suit.

Though we had been intimate for at least a week, I had still not seen her naked: like a good Victorian, she demanded that the shades be drawn, the lights be out, and the covers be pulled discreetly over us. But now, with the same methodical thoroughness, she wanted me to see her, so I looked, despite her warnings. She was bent over, under the tree boughs, the evening light breaking through the leaves and casting broken gold bands on her body. Her arms were delicate, the arms of a schoolgirl, I thought, an impression heightened by the paleness of her skin; but her breasts were full, at first making me think of Rubens’s women, then of Renoir’s, then of nothing at all. Slowly, knowing I was watching her, she pinned her hair up. Not her breasts or arms, but that expression of vague contentment as she looked out toward the water, away from me: that made me feel a tingling below my heart, somewhere in an emotional center near my stomach. I wanted to pick her up and carry her somewhere, but with my knees wobbly it was all I could do to make my way over to where she stood and take her in my arms before she cried out. “Jesus,” she said, shivering, “you gave me a surprise.” I kissed her, waiting for inspiration to direct me on what to do next: Pick her up? Carry her? Make love to her on the sand? Wade into the water with her and swim out to the center of the bay, where we would drown together in a Lawrentian love-grip? But then we broke the kiss; she put on her swimsuit like a good citizen, and we swam for the usual fifteen minutes in silence. Afterward, we changed back into our clothes and drove home, muttering small talk. Behavior inspired by and demonstrating love embarrassed both of us. When I told her that she was beautiful and that I loved her, she patted me on the cheek and said, “Aw, how nice. You always try to say the right thing.”

The Maple Street angle for Harmony of the World ran as follows: SYMPHONY OF FAITH IN A FAITHLESS AGE. Hindemith, I said, wished to confound the skeptics by composing a monument of faith. In an age of organized disharmony, of political chaos, he stood at the barricades defending tonality and traditional musical form. I carefully avoided any specific discussion of the musical materials of the symphony, which in the Schott orchestral score looked overcomplex and melodically ugly. From what I could tell from a sight-reading, Hindemith had employed stunning technique in order to disguise his lack of inspiration, though I did not say so in print. Instead, I wrote that the symphony’s failure to win public support was probably the result of Hindemith’s refusal to use musical gimmicks on the one hand and sticky-sweet melodies on the other. I wrote that he had not been dismayed by the bad reviews Harmony of the World (both the symphony and the opera) had received, which was untrue. I said he was a man of integrity. I did not say that men of integrity are often unable to express joy when the occasion demands. Cascadilla liked my article. “This guy sounds like me,” he said, reading my copy. “I respect him.” The article ran five days before the concert and was two pages away from the religion-and-faith section. Not long after, the symphony ticket office called me to say that my piece had caused a rush of ticket orders from ordinary folk, nonconcert types, who wanted to hear this “religious symphony.” The woman from the business office thanked me for my trouble. “Let’s hope they like it,” I said.

“Of course they will,” she assured me. “You’ve told them to.”

But they didn’t. Despite all the oratory in the symphony, it was as spiritually dead as a lampshade. I could see why Hindemith had been shocked by the public reaction. Our audience applauded politely in discouragement, and then I heard an unusual sound for this anonymous city: one man, full of fun and conviction, booing loudly from the balcony. Booing the harmony of the world! He must be a Satanist! Didn’t intentions mean anything? So what if the harmony and joy were all counterfeit? The conductor came out for a bow, smiled at the booing man, and very soon the applause died away. I left the hall, feeling responsible. Arriving at the paper, I wrote a review of crushing dullness that reeked of bad faith. God damn Hindemith! Here he was, claiming to have seen God’s workings, and they sounded like the workings of a steam engine or a trolley car. A fake symphony, with optimism the composer did not feel! I decided (but did not write) that Harmony of the World was just possibly the largest, most misconceived fiasco in modern music’s history. It was a symphony that historically could not be written by a man who was constitutionally not equipped to write it. In my review, I kept a civil pen: I said that the performance lacked “luster,” “a certain necessary glow.”