2) Calculate the Fundamental Frequency Ratio (by dividing the higher frequency by the lower frequency), rounded if necessary to the nearest 0.000001, between F4 and A4 b under the following systems:

a) Harmonic Series (Keyed to A)

b) Just Intonation Tuning (Keyed to A)

c) Harmonic Series (Keyed to F)

d) Pythagorean Tuning

In your answers to 2, consider the answer 2c what you want (in other words, zero error). Calculate the error, as a percent, for each of these tuning systems in parts a, b, and d. Round to the nearest 0.001%.