The tones that are separated by three octaves | vedclass

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Question

(C) An octave represents a doubling of frequency.If the initial frequency is $f$,then after one octave,the frequency becomes $2f$.After two octaves,th

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) An octave represents a doubling of frequency.If the initial frequency is $f$,then after one octave,the frequency becomes $2f$.After two octaves,the frequency becomes $2 	imes 2f = 4f$.After three octaves,the frequency becomes $2 	imes 2 	imes 2f = 2^3f = 8f$.Therefore,the frequency ratio between the final tone and the initial tone is $8:1$,which simplifies to $8$.

The tones that are separated by three octaves have a frequency ratio of

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