Question

The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies. Determine the ratio of the note D to middle C. a. 1.1227 b. 1.234 c. 1.4566 d. 1.3454

Answer 1

The ratio of the note D to middle C in the C major key is 1.1227. So, the correct answer is a. 1.1227.

Step-by-step explanation:

The ratio of the note D to middle C in the C major key can be determined using the ratio of their frequencies. The frequency ratio between two notes can be found by dividing the frequency of the higher note by the frequency of the lower note.

In the case of the C major key, the frequency of middle C is 261.63 Hz. The note D is the second note in the key and has a frequency of 293.66 Hz.

Therefore, the ratio of the note D to middle C can be calculated as follows:

Ratio = Frequency of D / Frequency of middle C = 293.66 Hz / 261.63 Hz = 1.1227

So, the correct answer is a. 1.1227.