The Glass Bead Game полностью

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 Schütz, 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.