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Western music uses a musical scale with equal temperament tuning, which means that any two adjacent...

Western music uses a musical scale with equal temperament tuning, which means that any two adjacent notes have the same frequency ratio r. That is, notes n and n+1 are related by fn+1 = rfn for all n. In this system, the frequency doubles every 12 notes-an interval called an octave.

a) What is the value of r ?

b) Orchestras tune to the note A, which has a frequency of 440 Hz. What is the frequency of the next note of the scale (called A-sharp)?

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