Final answer:
The correct ratio of the frequency of the note F to that of middle C is b. 1.2599. This is based on the frequency of middle C being 261.63 Hz and the F above it being a perfect fourth higher in equal temperament tuning.
Step-by-step explanation:
The question asks to determine the ratio of the frequency of the note F to that of middle C. In Western music, the note F is the fourth note above middle C when considering just the white keys of the piano (C Major scale), meaning it is a perfect fourth above. Middle C has a standard pitch of 261.63 Hz. The note F above middle C has a frequency that's a perfect fourth higher, which in equal temperament tuning has a ratio of \(\sqrt[4]{2}\), which approximately equals 1.2599.
Hence, the correct answer is: b. 1.2599. The ratio of the frequency of the note F above middle C is approximately 1.2599 times the frequency of middle C, so if C is at 261.63 Hz, the F above it is approximately 329.63 Hz.