Question

2.32 LAB: Musical note frequencies On a piano, a key has a frequency, say f0. Each higher key (black or white) has a frequency of f0 * rn, where n is the distance (number of keys) from that key, and r is 2(1/12). Given an initial key frequency, output that frequency and the next 4 higher key frequencies. Output each floating-point value with two digits after the decimal point, which can be achieved by executing cout << fixed << setprecision(2); once before all other cout statements. Ex: If the input is: 440.0 (which is the A key near the middle of a piano keyboard), the output is: 440.00 466.16 493.88 523.25 554.37

Answer 1

Answer:

#include<iostream>

#include<iomanip>

#include<cmath>

using namespace std;

int main()

{

float f0;

cout<<"Initial Frequency: ";

cin>>f0;

for(int n = 1; n<=5;n++)

{

 cout<<f0<<setprecision(2);

 f0 = f0 * pow(2.0,1.0/12);

 cout<<" ";

}

 

return 0;

}

Explanation:

The programming language is not stated; However, one can easily deduce that the program is to be written using C++

The following libraries enable the program to make use of some built in functions

#include<iostream>

#include<iomanip>

#include<cmath>

using namespace std;

int main()

{

This line declares the initial frequency as float

float f0;

This line prompts user for input

cout<<"Initial Frequency: ";

This line gets user input

cin>>f0;

The following iteration calculates and prints the frequency for thenexr 4 keys

for(int n = 1; n<=5;n++)

{

 cout<<f0<<setprecision(2);

 f0 = f0 * pow(2.0,1.0/12);

 cout<<" ";

}  

return 0;

}