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You're off by a couple of millennia, the 'Wohl Temperierte Klavier' was only possible after some German dude called Werkmeister came up with a way to tune instruments across large ranges to allow them to play together.

That's where the math came in to it.

That other German 'dude' J.S. Bach then proceeded to cover the new possibilities exhaustively, see the music in the volume of the same name. The enormous jump music made in the relatively short span of 15 years or so during which this all happened is still quite unbelievable.




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