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Logarithmic mathematical constants vs acoustic mathematical constants

When we are hearing logarithmic phi, we are in fact hearing the number 2**(phi) = 3.070

Same thing for logarithmic pi, the number that comes to our hears is 2**(pi) = 8.825


While these intervals can still be used in a way or another in a musical context, they don't correspond to anything.


When it comes to acoustic constants, we are truly hearing the numbers phi = 1.6180 and pi = 3.1416

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