// An example implementation of a pitch.
import java.lang.Math;

public class Pitch
{
    protected double A;
    protected int steps;
    final static double half = Math.pow(2.0,1.0/12.0);
    final static double USA = 440.0;
    public Pitch()
    {
	steps = 0;
    }
    public Pitch(double freq, double stdA)
    {
	A = stdA;
	steps = 0;
	while (freq > A)
	{
	    freq /= half;
	    steps++;
	}
	while (freq < A)
	{
	    freq *= half;
	    steps--;
	}
    }
    public Pitch(int steps, double stdA)
    {
	A = stdA;
	this.steps = steps;
    }
    public Pitch(int steps)
    {
	this(steps,USA);
    }

    public Pitch(double freq)
    {
	this(freq,USA);
    }

    public double frequency()
    {
	return Math.pow(half,(double)steps)*A;
    }
    public int steps()
    {
	return steps;
    }

    public static void main(String a[])
    {
	Pitch middleC = new Pitch(131.0);
	for (int i = (-9)-12; i < 12; i++) {
	    Pitch p1 = new Pitch(i);
	    Pitch p2 = new Pitch(i,415.0);
	    System.out.println(p1.steps()+": "+p1.frequency()+" | "+p2.frequency());
	}
    }
}