On 22.10.2013 12:25, Łukasz Stelmach wrote:
log(10) = 2.30258509299 (?)
log(exp(1)) = 1

log10(10) == 1, decibels always use 10-base logarithm. Of course you can also use natural logarithm, but then:
log10(x) == ln(x)/ln(10)

By the way, I recommend using excellent open source software like Octave or Scilab. :)

Indeed it is -29.473, that is even less than I though.  Why dBFS? There
is no absolute Full-Scale in this case. Full-Scale might be the number
of of packages available for the distribution rather than installed on
your machine.

Full scale is just 100%, IOW factor of 1. Of course you can have also positive dBFS for values exceeding 100%. Decibels should never be used without reference point, because it is always a relative value.

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