(click to enlarge)

All vibrating and oscillating bodies possess a

signature or complex series of sub and super

harmonics,

overtones or

partials. These sets (or series) of relative frequencies (constituting its

vibration signature) are developed according to

law and arithmetic (addition, subtraction, multiplication and division) and are of two basic types of seemingly opposite qualities -

harmonic (

concordant) and

enharmonic (

discordant) not in their discrete pitches but in the relationships with the other notes of that series and outside of it. When harmonics are thusly derived from arithmetical methods they are called

Summation Tones and

Difference Tones. Other

Resultant Tones or harmonics derived arithmetically are "multiples" (times two, squaring or other quantities) and divisions or halves (divided by two, square root or other quantities). Because these signatures are created and governed by basic

laws of arithmetic they are not accidental or by happenstance.

Keely used the term "

chord" in place of our use of the term

vibration signature. For indeed a collection of relative frequencies or pitches is a

chord of discrete tones or aliquot parts making up a compound

sound or complex waveform.

**Chord** - Two, three or more tones sounded together.

**Signature** or Vibration Signature - Term usually applied to the vibration frequency spectrum of a complex waveform.

In the graphic below are shown these two terms. The squiggly lines at the top are the vibration signatures. (The term signature comes from the concept these lines look like a doctor's scrolling signature.) The musical notes below the signatures are the relative and quantitative discrete frequencies making up the complex waveform as recorded in tracings or signatures.

See Also

**Chord**
**Chord of Mass**
**Chord of the Mass**
**Creative Force**
**Figure 1.1 - Chord Signatures of Brain Convolutions**
**Fundamental**
**Harmonic**
**Laws of Vibration**
**molecular aggregation**
**Overtone**
**Part 12 - Russells Locked Potentials**
**Polar**
**Signature**
**Undertone**
**Universal Energy Unit**
**Vibration Signature**