Single octave - Euler's "gradus suavitatis" (degree of sweetness)

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    Leonhard Euler's formula for consonance of musical intervals:

    Basically he says to multiply the numerator and denominator, then find the prime factors of the product, then subtract 1 from each prime, andthen sum all the primes with 1.

    So for 16/9, the product is 144, and the prime factors are [3, 3, 2, 2, 2, 2]. So Euler's number is 1+(2+2+1+1+1+1) = 9.

    Kind of weird.

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