To find the frequency of A440, substitute 0 for n.
A
12
B
880.37
C
The frequency of A is greater than the frequency of A440.
Practice makes perfect
We are given a picture of a piano. Each black or white key represents one note. We want to state how many notes do we take to travel from A440 to A. Let's mark each step on the picture.
Looking at the picture, we can see that we should take 12 notes to travel from A44 to A.
We want to find the frequency of the note A. We are given the equation that represents the frequency F of a note on a piano.
F = 440(1.0595)^n
In the equation n corresponds to the number of notes above A440. In Part A we found that A is 12 notes above A440. To find the frequency of A, we substitute 12 for n and simplify.
We want to compare the frequency of A to the frequency of A440. In Part B, we found that the frequency of A is about 880.37. Let's start by finding the frequency of A440. To do so, we will substitute 0 for n.
