The musical note "A" above middle "C" is 440Hz. When you go up an octave, the frequency doubles. When you go down an octave, the frequency halves. A male bass's range goes down to roughly the A 2 octaves below middle C, so that's (440/2)/2 = 110Hz. A female soprano's range extends to roughly the A 2 octaves above middle C, so that's 440*2=880Hz. (I "rounded" to A to make the math easy, the actual range is a little wider. See: Vocal range - Wikipedia, the free encyclopedia)


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