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

Octave Relations in Music Notation

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

Perfect Octave

In music, an octave (Latin: octavus: eighth) or perfect octave is the interval between one musical pitch and another with half or double its frequency. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical systems". It may be derived from the harmonic series as the interval between the first and second harmonics.

Three commonly cited examples of melodies featuring the perfect octave as their opening interval are "Singin' in the Rain", "Somewhere Over the Rainbow", and "Stranger on the Shore".

The octave has occasionally been referred to as a diapason?.

To emphasize that it is one of the perfect intervals (including unison, perfect fourth, and perfect fifth), the octave is designated P8. The octave above or below an indicated note is sometimes abbreviated 8va (= Italian all'ottava), 8va bassa (= Italian all'ottava bassa, sometimes also 8vb), or simply 8 for the octave in the direction indicated by placing this mark above or below the staff. Wikipedia, Octave

11.15 - Indig Numbers - Inert Gases and Octave Position
12.17 - Note about Octave Relationships in Russells System
12.18 - Multiple Octave Progression
B Flat 3rd Octave
C 1st Octave
D 2nd Octave
Diminished
Diminished Eighth
Diminished Octave
diminished seventh
E Sharp 3rd Octave
Eighth
Etheric Elements
Figure 1.8 - Electromagnetic Scale in Octaves
Figure 11.01 - Octave composed of Equal Thirds and Triads
Figure 12.11 - Russells Locked Potential Full Ten Octave Gamut
Figure 12.12 - Russells Multiple Octave Waves as Fibonacci Spirals
Figure 12.12 - Russells Multiple Octave Waves as Fibonacci Spirals - See Also
Figure 17.03 - Analysis of the Octave Gravity Bar
Figure 7B.10 - Russells Periodic Chart of the first four octaves of proto-matter
Figure 9.16 - Russells 1-4 Octaves of Matter as Integrated Light - The Universal Constant
Figure 9.17 - Russells Ten Octaves of Matter as Integrated Light - The Universal Constant
Interval
Law of Octave
Major Seventh
Minor Seventh
Music
Octave
Octave Relationships
Perfect Octave
Proportion
Ratio
RULE OF THE OCTAVE
Scale of the Forces in Octaves
Square Law
The Russell Nine Octave Chart of the Elements