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il63 [147K]
3 years ago
8

The frequency of the musical note E3 is about 164.81 Hz.

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

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 E_3 be x, then we have the following proportion.

x:164.81::3:2\\\\\Rightarrow x=\dfrac{3\times164.81}{2}=247.215

Hence, the  frequency of the note a perfect fifth above E_3 is 247.215 Hz.

laiz [17]3 years ago
6 0
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 = <span>164.81 </span>× 3 ÷ 2
   = 247.21

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