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Music and Astronomy
I would have thought that the musical, i know, the riht word canonthat the ideas behind octaves would have far preceded the math. But it sounds like youre saying the development of music was highly integrated into mathematical thinking from the very beginning. I set right absolutely these very early experiments about the lengths of different strings making these lovely tios. It was all bound up in this idea of how everything has a wonderful universal harmony and these numbers, one, two, three, four and their ratios. This is how the universe was created, believed the pythagoreans. And even there was this belief that actually, mathematics, i believe this, underlies everything. So