All categories

3 years ago

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 = 164.81 × 3 ÷ 2
= 247.21

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

You might be interested in

Given the inequality below: 3x-y>4 Which is the graph of the solution set?

OLga [1]

Answer:

A shaded region below a dashed line (y <3x-4)

Step-by-step explanation:

For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.

Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.

In this case what we have here is an open region, as the graph below shows.

3x-y>4 =-y>4-3x∴y<3x-4

Setting a value for x

3x-4=0

3x=4

3x/3=4/3

x=4/3 (slope)

(4/3,0)

6 0

3 years ago

4x+5=45 (Show work to get brainliest) A) 5 B) 10 C) 15 D) 20

jasenka [17]

Answer:

B) 10

Step-by-step explanation:

4x+5=45

-5 -5

4x=40

/4 /4

x=10

3 0

3 years ago

Read 2 more answers

HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!

leva [86]

Number one is A (2.) Bill should ask Sam to pay $407.97 as interest for the cash advance (3)a) 213.85 sorry I don't know number four =(

6 0

3 years ago

Read 2 more answers

The stem and leaf plot shows high temperatures

Veronika [31]

Answer: 54 Degrees, 2days

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A game designer must decide how to color five buildings that are in a row. Using only the colors yellow, green, red, and blue, e

earnstyle [38]

Answer:

The total of ways the buildings can be painted are = 4 $\times$ 3 $\times$ 2 $\times$ 2 $\times$ 1 = 48 ways.

Step-by-step explanation:

i) color five buildings that are in a row.

ii) any two neighboring buildings must be different colors

iii) the first third and fifth buildings must be different colors.

iv) the number of ways to paint the fist building are 4.

v) the number of ways to paint the second building are 3.

vi) the number of ways to paint the third building are 2.

vii) the number of ways to paint the fourth building are 2.

viii) the number of ways to paint the last building are 1.

ix) therefore the total of ways the buildings can be painted are

= 4 $\times$ 3 $\times$ 2 $\times$ 2 $\times$ 1 = 48 ways.

4 0

3 years ago