Octave

Music The Interval between a fundamental tone and the eighth? step above it; all the tones within the Interval of an octave. Computed by doubling 2X or halving 1/2 establishes the octave in music and diverse engineering fields.

A doubling or halving. Usually applied to frequency, i.e., a gain rolloff rate of 6dB per octave for each doubling or halving of frequency.

(1) The Interval of an eighth?. It may be major, minor, or augmented?.
(2) The first note of the harmonic scale?.
(3) An organ stop of 4 ft. pitch on the manuals, or 8 ft. on the pedals.
(4) The eight days following a great festival of the Church?. (Dictionary of Music)

Tyndall? "The first octave is 6 1/4 times the fundamental when bowed, however, when struck, the 1st overtone is the octave, this octave being due to the secondary waves set up when the limits of the LAW OF SUPERPOSITION have been exceeded." Tyndall, John; Sound; pg 381




Walter Russell
When Russell uses this term he means the doubling and/or halving of the eighteen dimension quantities. In ordinary music comprised of frequencies the octave deals in doubling or halving in an arithmetic linear format. In the Russell use the octave is a doubling or halving of eighteen dimensions having a geometric format. [see Locked Potentials, Eighteen Attributes or Dimensions]

Distance, Area and Volume Ratios (courtesy University of Science and Philosophy) (click to enlarge)

Volume, Octave and Wave Structure (courtesy University of Science and Philosophy) (click to enlarge)

Vibration Analysis - The Interval between two frequencies with a ratio of 2 to 1. Starting from a given frequency, one octave higher is twice that frequency; one octave lower is half that frequency. (Field of Rotating Machinery Measurment, Monitoring and Analysis)

Alex Petty web site. Shows intervals for 100 octaves.
Alex Petty

See Also

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Etheric Elements
Interval
Music
Octave Relationships
Proportion
Ratio
Scale of the Forces in Octaves
Square Law
The Russell Nine Octave Chart of the Elements

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