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.
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.