Respuesta :

A perfect fifth above a note has a frequency ratio of 3 to 2.
Therefore, we can set the proportion:
164.81 : x = 2 : 3

which gives:
x = 164.81 × 3 ÷ 2
   = 247.21

Hence, the perfect fifth above E₃ will have a frequency of 247.21Hz which corresponds to a B₃.

Answer: 247.215 Hz

Step-by-step explanation:

We know that in music theory, a perfect fifth is a musical interval having inverse perfect fourth that corresponds a pair of pitches with a frequency ratio of 3:2.

Let the  frequency of the note a perfect fifth above [tex]E_3[/tex] be x, then we have the following proportion.

[tex]x:164.81::3:2\\\\\Rightarrow x=\dfrac{3\times164.81}{2}=247.215[/tex]

Hence, the  frequency of the note a perfect fifth above [tex]E_3[/tex] is 247.215 Hz.