Estimate the number of octaves in the range from 20 Hz to 10 kHz . Express...

Question

Question

Estimate the number of octaves in the range from 20 Hz to 10 kHz .

Express your answer as an integer.

Answer 1

Answer #1

f1= 20 Hz
f2=10Khz= 10000 Hz
octave means how many times we can double f1 to get f2.
so f2 = f1*2ⁿ
n =number of octaves

10000= 20 2ⁿ

500= 2ⁿ

log500=n log 2

n=(log 500)/log 2

n=8.96

so the number of octavesis approximately equal to 9

Answer 2

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