GALILEI, Vincenzo.

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Dialogo della musica antica, et della moderna. First edition of the musical treatise in which Galileo's father Vincenzo (1520-1591) mounted a sustained attack on the ancient Pythagorean doctrine that harmony is caused by simple numerical ratios. Stillman Drake famously argued that these musical investigations constitute some of the earliest true scientific experiments of the Renaissance, anticipating the methodological core of modern physics established by his son.Tackling his former teacher, Gioseffo Zarlino, the leading defender of numerical musical orthodoxy, Vicenzo rejected mathematical authority as an explanation of nature. He turned instead to controlled physical experiment, using strings, weights, and tuning systems to show that the same musical interval corresponds to different numerical ratios depending on whether pitch is produced by length, tension, or material. In doing so, he deprived number of any intrinsic causal power and redefined it as a descriptive tool tied to measurable physical dimensions.Significantly, the Dialogo was written and published during Galileo's formative years, at a time when he was living in close contact with his father and developing his own mathematical interests. Drake suggested that Galileo not only witnessed but may have participated in these experiments, and that they provided him with a concrete model for testing mathematical laws by experiment - a model later applied to motion, the pendulum, and mechanics. The Dialogo thus stands

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