tempestuous enough, but in truth it has departed from the essence of music. Because it has departed from the essence of real music, this music is not serene. If music is not serene, the people grumble and life is deranged. All this arises from mistaking the nature of music and seeking only tempestuous tonal effects.

“Therefore the music of a well-ordered age is calm and cheerful, and so is its government. The music of a restive age is excited and fierce, and its government is perverted. The music of a decaying state is sentimental and sad, and its government is imperiled.”

The words of this Chinese writer point fairly distinctly to the origins and to the real although almost forgotten meaning of all music. For in prehistoric times music, like the dance and every other artistic endeavor, was a branch of magic, one of the old and legitimate instruments of wonder-working. Beginning with rhythm (clapping of hands, tramping, beating of sticks and primitive drums), it was a powerful, tried-and-true device for putting large numbers of people “in tune” with one another, engendering the same mood, co-ordinating the pace of their breathing and heartbeats, encouraging them to invoke and conjure up the eternal powers, to dance, to compete, to make war, to worship. And music has retained this original, pure, primordially powerful character, its magic, far longer than the other arts. We need only recall the many testimonies of historians and poets to the power of music, from the Greeks to Goethe in his Novelle. In practice, marches and the dance have never lost their importance… But let us return to our subject.

We shall now give a brief summary of the beginnings of the Glass Bead Game. It appears to have arisen simultaneously in Germany and in England. In both countries, moreover, it was originally a kind of exercise employed by those small groups of musicologists and musicians who worked and studied in the new seminaries of musical theory. If we compare the original state of the Game with its subsequent developments and its present form, it is much like comparing a musical score of the period before 1500, with its primitive notes and absence of bar lines, with an eighteenth-century score, let alone with one from the nineteenth with its confusing excess of symbols for dynamics, tempi, phrasing, and so on, which often made the printing of such scores a complex technical problem.

The Game was at first nothing more than a witty method for developing memory and ingenuity among students and musicians. And as we have said, it was played both in England and Germany before it was “invented” here in the Musical Academy of Cologne, and was given the name it bears to this day, after so many generations, although it has long ceased to have anything to do with glass beads.

The inventor, Bastian Perrot of Calw, a rather eccentric but clever, sociable, and humane musicologist, used glass beads instead of letters, numerals, notes, or other graphic symbols. Perrot, who incidentally has also bequeathed to us a treatise on the Apogee and Decline of Counterpoint, found that the pupils at the Cologne Seminary had a rather elaborate game they used to play. One would call out, in the standardized abbreviations of their science, motifs or initial bars of classical compositions, whereupon the other had to respond with the continuation of the piece, or better still with a higher or lower voice, a contrasting theme, and so forth. It was an exercise in memory and improvisation quite similar to the sort of thing probably in vogue among ardent pupils of counterpoint in the days of Schutz, Pachelbel, and Bach — although it would then not have been done in theoretical formulas, but in practice on the cembalo, lute, or flute, or with the voice.

Bastian Perrot in all probability was a member of the Journeyers to the East. He was partial to handicrafts and had himself built several pianos and clavichords in the ancient style. Legend has it that he was adept at playing the violin in the old way, forgotten since 1800, with a high-arched bow and hand-regulated tension of the bow hairs. Given these interests, it was perhaps only natural that he should have constructed a frame, modeled on a child’s abacus, a frame with several dozen wires on which could be strung glass beads of various sizes, shapes, and colors. The wires corresponded to the lines of the musical staff, the beads to the time-values of the notes, and so on. In this way he could represent with beads musical quotations or invented themes, could alter, transpose, and develop them, change them and set them in counterpoint to one another. In technical terms this was a mere plaything, but the pupils liked it; it was imitated and became fashionable in England too. For a time the game of musical exercises was played in this charmingly primitive manner. And as is so often the case, an enduring and significant institution received its name from a passing and incidental circumstance. For what later evolved out of that students’ sport and Perrot’s bead-strung wires bears to this day the name by which it became popularly known, the Glass Bead Game.

A bare two or three decades later the Game seems to have lost some of its popularity among students of music, but instead was taken over by mathematicians. For a long while, indeed, a characteristic feature in the Game’s history was that it was constantly preferred, used, and further elaborated by whatever branch of learning happened to be experiencing a period of high development or a renaissance. The mathematicians brought the Game to a high degree of flexibility and capacity for sublimation, so that it began to acquire something approaching a consciousness of itself and its possibilities. This process paralleled the general evolution of cultural consciousness, which had survived the great crisis and had, as Plinius Ziegenhalss puts it, “with modest pride accepted the fate of belonging to a culture past its prime, as was the case with the culture of late antiquity: Hellenistic culture in the Alexandrian Age.”

So much for Ziegenhalss. We shall now attempt to sketch the further steps in the history of the Glass Bead Game. Having passed from the musical to the mathematical seminaries (a change which took place in France and England somewhat sooner than in Germany), the Game was so far developed that it was capable of expressing mathematical processes by special symbols and abbreviations. The players, mutually elaborating these processes, threw these abstract formulas at one another, displaying the sequences and possibilities of their science. This mathematical and astronomical game of formulas required great attentiveness, keenness, and concentration. Among mathematicians, even in those days, the reputation of being a good Glass Bead Game player meant a great deal; it was equivalent to being a very good mathematician.

At various times the Game was taken up and imitated by nearly all the scientific and scholarly disciplines, that is, adapted to the special fields. There is documented evidence for its application to the fields of classical philology and logic. The analytical study of musical values had led to the reduction of musical events to physical and mathematical formulas. Soon afterward philology borrowed this method and began to measure linguistic configurations as physics measures processes in nature. The visual arts soon followed suit, architecture having already led the way in establishing the links between visual art and mathematics. Thereafter more and more new relations, analogies, and correspondences were discovered among the abstract formulas obtained in this way. Each discipline which seized upon the Game created its own language of formulas, abbreviations, and possible combinations. Everywhere, the elite intellectual youth developed a passion for these Games, with their dialogues and progressions of formulas. The Game was not mere practice and mere recreation; it became a form of concentrated self-awareness for intellectuals. Mathematicians in particular played it with a virtuosity and formal strictness at once athletic and ascetic. It afforded them a pleasure which somewhat compensated for their renunciation of worldly pleasures and ambitions. For by then such renunciation had already become a regular thing for intellectuals. The Glass Bead Game contributed largely to the complete defeat of feuilletonism and to that newly awakened delight in strict mental exercises to which we owe the origin of a new, monastically austere intellectual discipline.

The world had changed. The life of the mind in the Age of the Feuilleton might be compared to a degenerate plant which was squandering its strength in excessive vegetative growth, and the subsequent corrections to pruning the plant back to the roots. The young people who now proposed to devote themselves to intellectual studies no longer took the term to mean attending a university and taking a nibble of this or that from the dainties offered by celebrated and loquacious professors who without authority offered them the crumbs of what had once been higher education. Now they had to study just as stringently and methodically as the engineers and technicians of the past, if not more so. They had a steep path to climb, had to purify and strengthen their minds by dint of mathematics and scholastic exercises in Aristotelian philosophy. Moreover, they had to learn to renounce all those benefits which previous generations of scholars had considered worth striving for: rapid and easy money-making, celebrity and public honors, the homage of the newspapers, marriages with daughters of bankers and industrialists, a pampered and luxurious style of life. The writers with heavy sales, Nobel Prizes, and lovely country houses, the celebrated physicians with decorations and liveried servants, the professors with wealthy wives and brilliant salons, the chemists with posts on boards of directors, the philosophers with feuilleton factories who delivered charming lectures in overcrowded halls, for which they were rewarded with thunderous applause and floral tributes — all such public figures disappeared and have not come back to this day. Even so, no doubt, there were still plenty of talented young people for whom such personages were envied models. But the paths to honors, riches, fame, and luxury

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