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
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]

Power Multiplication and Octaves

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

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

"In this Universe, the octaves of the elements of matter "Grow" from seed, just as all things grow from seed. Elements are not fixed created things. They are pressure conditions of light waves. The inert gases are the cosmic seeds of matter in this Universe. They surround the zero from which motion springs and to which it returns. They are the seeds of the octaves of matter, and each octave has a different seed just as different trees has different seeds. The inert gases are the recorders in cosmic seed of this creating universe of infinite continuity." [Russell]

"The master-tone of each octave is the inheritance of the original motion of the thinking process of Mind. These master-tones are the "inert gases" which are classified in the zero group of the Mendeleef table.

The state of motion of these inert gases is that of motion-in-inertia."

"Motion-in-inertia is that state of pressure equilibrium which lies between any two masses.

"The inertial line, or plane is that dividing line, or plane, toward which all masses discharge their potential.

"It is the line, or plane, of lowest potential of two opposing areas of potential, where opposing pressures neutralize. This is the plane of minimum pressure of two opposing areas.

"The master-tones which represent a state of motion-in-inertia and are the inert gases, bear the same relationship to the elements that white bears to the colors. They are a registration of them all. White is not included in the spectrum, it has no place there. The inert gases should not be included in the elements. They have no place there. Of this more shall be written later in its proper place." [Russell, The Universal One]

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
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

See Also

1st octave 2nd octave 3rd octave 4th octave 6th octave 7th octave 8th octave 9th octave 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 11.15 - Indig Numbers - Inert Gases and Octave Position 12.17 - Note about Octave Relationships in Russells System 12.18 - Multiple Octave Progression

Created by Dale Pond. Last Modification: Sunday November 4, 2018 04:02:48 MST by Dale Pond.