RDT---
There are two forms of harmonics.
First, there is the conceptual form. Like if you say, "The first harmonic of 100Hz is 200Hz." But that is just a thought or idea. The 200Hz is not an empirical thing. It's merely a math result. A hypothetical.
The second form is an actual wave. Like the vibration induced in a second tuning fork, which is tuned to the harmonic frequency of the emitting tuning fork. This is a real, physical thing. And you can say, "Look, the second fork is now vibrating at the first harmonic of the 100Hz fork.
The point being, that when it is said that 200Hz is the first harmonic of 100Hz, it
doesn't mean that the 100Hz
contained the 200Hz
to begin with. The 200Hz from the second tuning fork is a newly created sound wave. Even though it uses energy from the 100Hz, it is an entirely new frequency, no matter where it got it's energy from.
Someone could theorize that it was somehow contained within the 100Hz, but that is beyond the definitions of current "science." It could be said that, since the energy put into the first tuning fork, when it was hit against the table, is the energy which is responsible for vibrating the air, and the energy in that air vibration is responsible for moving the second tuning fork, therefore the energy in the 200Hz vibration was contained in the 100Hz (or in the table!) But the
characteristic of the energy in the wavelength of 200Hz was not contained in the 100Hz vibration. That characteristic was determined by the second tuning fork.
So it goes from
energy (the hit against the table), to
characteristic (100Hz), to
energy (air waves against the second fork), to
characteristic (the 200Hz). But the 200Hz characteristic is no more determined by the first fork, than it is by the
table.
That the second fork is tuned to the first harmonic of the 100Hz fork causes a sustained vibration in it, because it reinforces it's resonant frequency on a continuous basis (every cycle of the 100Hz is exactly in phase with every other cycle of the 200Hz movement of the second tuning fork). But it would also vibrate at that frequency (for a while) if it was merely hit on the table!
If you put several items on a table, and blast an audio signal generator through an amplifier to a large speaker, then slew the frequency over the generator's band, at different frequencies different items will vibrate because they are resonating at those frequencies, or close harmonics to them. This effect is responsible for vibratory mechanical failures (cracks resulting in breakage) in certain machinery parts, including cars and airplanes, and can be due to resonance of the part at the same, or at a harmonic frequency.
Like I said before, essentially, interrelationships in the universe can be expressed in many ways, but if a person wants to communicate accurately, he must stick to an agreed upon language. If someone expresses a thought in other than the language he claims to be using, it ain't gonna work!
Big Four Proofs of LRLs Fraud
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