Note Frequency Printer

/**Prints the frequencies in Hz of all the notes in the western scale,
 * in the range of human hearing. */
public class NoteFreqPrinter
{
    public static void main(String[] args)
    {
        String[] noteNames = {"A", "A#", "B", "C", "C#", "D", "D#", "E", "F", "F#", "G", "G#"};
        //the ratio between adjacent notes in equal temperament:
        //these values are interchangeable
        double ratio = Math.pow(2, 1.0/12.0);//calculated by java, or
        double wikiRatio = 1.059463094359295264561825;//borrowed from wikipedia's page on equal temperament

        int numFreqs = 24;//how many notes to print. Recalculated later
        int octave = 55;//the frequency (note) to start at. 55Hz is A1.

        //human hearing is between 20Hz and 20KHz;
        //calculate how many notes we'll need, to determine size of array
        while(octave < 20000)
        {
            octave *= 2;
            numFreqs += 12;
        }
        numFreqs -= 5;//cheap fix to discard inaudible notes in last octave
        double[] freqs = new double[numFreqs];

        //these values are very close, but might differ slightly due to precision
        System.out.println("derived ratio value  : "+ratio);
        System.out.println("wikipedia ratio value: "+wikiRatio);

        freqs[0] = 13.75; // the first and lowest note: A-1

        System.out.print(noteNames[0]+": ");
        System.out.print(freqs[0]+"\n");

        for(int i = 1; i < freqs.length; i++)
        {
            freqs[i] = freqs[i-1] * ratio;
            if(((i % 12) == 0)//if note should have an integral frequency
            && (i > 12))// (octaves of A),
            {// cast it to an int to discard precision loss
                freqs[i] = Math.round(freqs[i]);
            }

            System.out.print(noteNames[i%12]+": ");
            System.out.print(freqs[i]+"\n");
        }
    }
}