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4 Pythagoras (from my essay Music and Mathematics)

The first true school in history was founded by Pythagoras.

Our word “school” comes from the Greek scholē, which originally meant leisure, quiet contemplation, and the stillness needed for music. Yet Pythagoras did not call his community a “school.” He called it an akousma—a gathering of listeners.

Only when we truly learn to listen can we create and hear music.

And we long to create and hear music because music has the miraculous power to purify the soul. For that purification to happen, silence must first be present—so that music, the highest instrument of education, can sing its song.

The day for the Pythagorean listeners began at sunset with singing or the gentle plucking of strings, driving away the heaviness of sleep.

At night, before bedtime, music dissolved the strange echoes of the day and granted wise and healing dreams. In the morning, after waking, each listener first walked alone through silent temples and sacred groves, quietly ordering the dreams and thoughts of the previous day.

Only then did they gather with the others for the master’s teaching in the temple garden. Next came physical exercises and wrestling, followed by a bath and a simple lunch of bread and honey. The afternoon was devoted to the city: how to govern it justly and how to live in harmony with neighboring cities. A second bath marked the close of the day, leading to supper—wine, vegetables, bread, and occasionally meat. Finally, before the listeners returned home to sleep, the youngest member of the community would read aloud from ancient scrolls. Thus every day given by the gods flowed from the soft strings of morning to the songs and dances of evening—everything Homer had once celebrated and sung about .

One day in the company of Pythagoras’ listeners is like stepping into a tradition that has lived for two and a half millennia.

6 The Lyre (from my essay Music and Mathematics)

Socrates was famously illiterate—yet an extraordinary speaker.

He was an unemployed (or rather, retired) sculptor and homosexual (and deliberately avoided brothels).

In his view, music and mathematics were unnecessary luxuries. His student Plato, by contrast, had been trained in both music and mathematics, but as long as Socrates was alive he was not allowed to pursue them openly. For Socrates, philosophy took the place of music. Because Socrates was accused of introducing new gods, he was sentenced to death and forced to drink hemlock (conium, a poisonous plant). Three months before his execution, however, Socrates suddenly began to learn the lyre.

In a dream, a voice had repeatedly told him: “Socrates, make music.”

After his teacher’s death, Plato developed the vision of the eight celestial spheres: the sphere of the Moon, the Sun, the five known planets, and the sphere of the fixed stars—eight in total, corresponding to the eight notes of the musical octave. On each sphere he placed a Siren who sings a single, eternal note. Together, the eight Sirens produce the inaudible “harmony of the spheres.” Centuries later, the Greek word harmonia gave us our term “octave.”

For Plato, true music is celestial and silent; the music we hear on earth is merely its faint shadow. In a sense, he denied the value of audible music altogether. Even Emperor Nero is supposed to have mocked the idea: “Music we cannot hear deserves no respect.”

When the Romans later destroyed the great Greek cities, music and mathematics almost vanished. It was not until the Middle Ages—some 1600 years later—that both disciplines began to revive. Ever since, music and mathematics have largely been kept apart. Today, we are bringing them back together again.

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