The Impossibility of a Pythagorean Scale and Square Root of 2 in Music Theory
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The lesson uses the cycle of fifths and the 12-tone chromatic scale to show why a perfectly tuned Pythagorean scale cannot be constructed. It connects the augmented fourth or diminished fifth interval with the arithmetic issue behind the square root of two.
Syllabus
The impossibility of a Pythagorean scale and "sqrt(2)" | Maths and Music | N J Wildberger
Taught by
Insights into Mathematics