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 f_n+1 = rf_n 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)?