What are harmonics and how do they work?

All non sine wave frequencies can produce harmonics. Depending on the wave form of the frequency they can produce a few harmonics or a lot of harmonics. Any frequency, when using a square wave, can produce infinite odd harmonics if you have infinite power. Of course this is impossible. Some instruments may have 1 watt and others 50 or 100 watts of power. So the limit of the harmonics is based on the power that you have. A simple way to understand harmonics is to think of a pebble thrown into a pool of water. Think of the pebble as the frequency and the ripples as harmonics. Each ripple gets weaker the further away it gets from where the pebble was thrown into the pool. So harmonics of frequencies also get weaker as they go further up or down from the main frequency. Square wave frequencies have the greatest harmonics and this is most likely why they were used in the 1950ís instruments.

Dr. Rifeís true M.O.R. or frequency for cancer was 1,604,000 cycles per second or 1.604 megahertz.

Dr. Rife said on the John Marsh CDs that harmonics are in 4ths, 8ths, 16ths, 32nds, 64ths and so on. Notice that the harmonics go in even numbers. If you have a triangle wave frequency of 2 hertz (2 cycles per second) your first harmonic is 4 hertz and the next one after that is 8 hertz, then 16 hertz.

The harmonics will keep going up in this manner infinitely as long as you have the power to drive the harmonics. Hoyland built his instrument to work on harmonics so that no one would know the true frequencies.

So the audio frequencies were not true M.O.R.s.

In almost all cases these audio frequencies were not even true harmonics of Rifeís true M.O.R.s.  Hoyland designed his instrument to work in such a way that it was the interaction of the sine wave frequencies with the harmonic carrier and the gating that produced true harmonic frequencies.

He must have used some mathematical computations in order to build his instrument. But no one knows what those computations were.

Now we come to the 1950ís instruments. These audio frequencies used in the AZ-58 were not true M.O.R. frequencies either. In most cases they did not even produce true harmonics because they were Hoylandís frequencies lowered. The AZ-58 was not built like Hoylandís instrument. It was changed in such a way that it really had no capability to produce the true harmonics of the Rife Ray #4 frequencies with sufficient power. Why then do these audio frequencies which are not really even true harmonics work on so many different ailments? Maybe it is because of the ripples in the pool that we described earlier or maybe they stimulate the immune system as Dr. Stafford believed. This seems to be, with the understanding that we have, the only possible way these audio frequencies could work as well as they did on everything but cancer.

To use the harmonics of a triangle wave all you have to do is divide by even numbers. For a square wave you have to divide by odd numbers. By dividing a frequency in this manner you can get to the audio range of frequencies and then use that audio frequency with a wave form that produces harmonics. The true M.O.R. frequency for cancer was 1,604,000 hertz and the true square wave audio frequency harmonic nearest to 2128 (frequency used in the AZ-58) is 2130.14 hertz. The other frequency used for cancer in the AZ-58 was 2008 and it is almost at a true harmonic. The true harmonic is 2007.5093 which is less than a half a hertz off. Back in the 1950ís the best you could do was to get within one hertz of a frequency. As you can see, one of the two harmonic audio frequencies for cancer was off as Dr. Stafford suspected. Another problem was the accuracy of the instruments built back in the 1950ís. Dr. Stafford had to regularly calibrate them to keep them on frequency and mentioned this problem to Rife, Crane and Marsh.

As mentioned you can only drive harmonics of a lower frequency to a higher frequency as long as you have enough power. When you take the frequency of 2130.14 hertz and try to drive the harmonics of that frequency to 1,604,000 hertz or cycles per second, with power, it is all but impossible to do. One million six hundred and four thousand cycles per second is the 753rd harmonic of 2130.14. In reality this is the 753rd ripple in the pool of water and this is why it is almost impossible to get this frequency to work on cancer. Power is the problem with the 753rd harmonic. The first harmonic only has about 1/9 the power of the fundamental frequency. In reality by the time you get to the 4th harmonic of a frequency the power is all but gone. Now lets take a look at the power level of the 753rd harmonic of 1,604,000 which is 2130.14 hertz. For a simple illustration, if we had an instrument (like the AZ-58 that was used in the 1950ís) that output 50 watts of power we would divide 50 watts by 753 and then again by 753 [(50 ų 753) ų 753] in order to get the power of the 753rd harmonic. This will give us the power of the 753rd harmonic which is 0.0000881 watts. Anyone can see that the power level at this harmonic is virtually non existent. If you had an instrument that output 300 watts (which is far more power than what Dr. Rife considered safe) it would only be 0.000529 watts of power at the 753rd harmonic of 2130.14. This description shows what we are up against when we use harmonic audio frequencies rather than Rifeís fundamental frequencies or M.O.R.S.

Here is another way of looking at the power problem of harmonic audio frequencies. If we are using a square wave frequency of 2000 hertz, the first harmonic is 6000 hertz. The second harmonic is 10,000 hertz. The third harmonic is 14,000 hertz and the fourth harmonic is 18,000 hertz. Now lets look at the power loss at each harmonic. If we had an audio frequency instrument that didnít use any carrier and it output 1 watt (this is more power than most people could take without their muscles beginning to locking up) then this is what power levels we would have. At the fundamental frequency of 2000 hertz we would have 1 watt. At the first harmonic of 6,000 hertz we would have 0.1111 of a watt.

At the second harmonic of 10,000 we would have 0.04 of a watt. At the third harmonic of 14,000 we would have 0.020 of a watt and at the fourth harmonic of 18,000 hertz we would have 0.012 of a watt.

Again it is easy to see that by the fourth harmonic the power is all but non existent, in fact, the power level is so low that by the fifth harmonic the noise in a circuit would probably be greater than the power of the fifth harmonic. Now if we look at a 300 watt instrument the power level would be only 3.7 watts at the fourth harmonic and by the 99 harmonic of 2000 hertz, which is 198000 hertz, you only have .03 of a watt.

Lets us now look at the 799 harmonic of 2008 hertz which is the cancer frequency of 1,604,000 hertz. At this harmonic (the 799th or 1,604,000 hertz) we have only 0.000469 or four hundred sixty nine thousandths of a watt. If you had a broadcast station that put out one million watts you would only get 1.56 watts of power at the 799 harmonic or 1,604,000 hertz. Once we understand power loss in harmonics it doesnít make sense to try and use harmonic audio frequencies in an attempt to reach any of Dr. Rifeís fundamental frequencies that he used. Eventually, sooner or later, we come to the understanding that we need to use Dr. Rifeís fundamental frequencies instead of the harmonic audio frequencies.

Anyone can now understand if you use the true M.O.R.s, youíre going to have a better chance of success.