What Pythagoras set about conducting acoustical experiments after hearing the created by hammers in a blacksmith shop.?

Pythagoras was intrigued by the harmonious sounds produced by hammers striking metal in a blacksmith shop, which led him to explore the relationship between musical intervals and numerical ratiOS. He conducted experiments with strings of different lengths and tensions, discovering that the lengths of strings that produced harmonious tones were in simple ratiOS, such as 2:1 for an octave and 3:2 for a perfect fifth. This foundational work linked mathematics and music, establishing the basis for the study of acoustics and the theory of harmony.