Educate-Yourself
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Upper Harmonics, A Short Treatise

http://educate-yourself.org/be/upperharmonicsexplained22may02.shtml
May 22, 2002

The type of electrical waveform that most people are familiar with is the AC sine wave. AC stands for Alternating Current.  Seen on an oscilloscope, it's the voltage sine wave form that we are most familiar with from physics text books; a gradually undulating, sinusoidal wave shape. It's important tto bear in mind that we are usually looking at a voltage waveforms on the oscilloscope, not current waveforms, but nevertheless we can understand the current flow based on what we see in the voltage waveform. Typically, half of the sine wave cycle occurs in the upper positive region of the oscilloscope graph, above the zero line, and the other half of the cycle completes itself in the lower, negative region of the graph.

In the upper positive region of the graph, the current is flowing in one direction only, but the intensity of the current is first gradually increasing and then decreasing until it hits the zero line. As the AC wave continues into its second half of the cycle, the current is now flowing in the opposite direction, increasing and then decreasing as it goes back to the zero line.

The AC sine wave is the waveform that we have available from our electrical wall outlets running at an average of 120 volts and at 60 cycles per second (cps) or Hertz (Htz or hz) here in the USA.  Pure audio signals are also sine waves that can be produced by an audio signal generator such as the NCH Tone Generator, available as a free download from this web site.

Harmonics
Pure sine waves are not capable of producing harmonics because of the smooth and gradual rise and fall of the current. A harmonic is an exact multible in frequency of the original waveform, but lower in amplitude. For example, the first multible (harmonic) of a 60 hz wave is 120hz, exactly double ( 2 x 60 = 120). Doubling of 120 equals 240 which is also the fourth harmonic of 60 hz ((4 x 60 = 240) . Harmonics produced with ever numbers (2, 4, 6, 8, etc. ) are called even harmonics and those derived from odd numbers (3, 5, 7, etc..) are called odd harmonics. Harmonics that are produced above the original frequency are called upper harmonics and those produced below the original frequency are called lower harmonics.

Harmonics are produced by a rapid and abrupt rise in current, either in the positive or negative direction. Square waves and pulse waves produce a rapid and abrupt rise in current.  The more rapid and abrupt the current rises, the greater the quantity, amplitude, and frequency range of harmonics produced. The abruptness of current rise is measured in rise time. The time it takes for a signal to rise from10% above the zero line to 90% of its maximum voltage is defined as the rise time. If a signal (wave) takes .001 seconds or one millisecond to rise to its 90% level, then its rise time is one thousand times faster than a signal that takes 1.0 second to cover the same distance. If the signal rises to its 90% maximum voltage level within one microsecond ( .000001 seconds), then its rise time is one million times faster than a square wave signal with a one second rise time. Remember,  faster the rise time (or shorter the rise time, same thing), the greater the quantity, variety, and amplitude of harmonics produced. This is referred to as richness of harmonic content.

Base Frequency Affects Harmonic Makeup
If you begin with a squave wave of 30,000 hz (30khz), such as the zapper used by Dr. Hulda Clark, you get harmonics based on that original base frequency. The first upper harmonic is 60khz, the fourth upper harmonic is 120khz, etc. If you start with a much lower square wave frequency such as 3.92 hz of the Beck blood electrifier, you get a different set of upper harmonics that don't have huge jumps in frequency between the harmonics. For example, the first harmonic of the Beck electrifier is 7.84 hz, the fourth harmonic is 15.68 hz, etc. If you run the harmonics out to the 1,000th harmonic, for example, you'll include more individual frequencies within a given frequency range, thus affecting more bugs and pathogens whose Mortal Oscillatory Resonance (MOR) frequency falls within that range. If you use a fast rise pulse wave form of 15 Hz as in the Don Croft Terminator, you get very rich harmonic content. When you combine that rich harmonic content with an orgone generator, you get some serious therapeutic effects.