Encyclopedia - Harmonic Series Music: Encyclopedia Ii - Harmonic Series Music - Description Of The Harmonic Series
The lowest possible frequency of a harmonic oscillator is called its fundamental frequency. This frequency determines the musical pitch o...   » Read the article

Encyclopedia - Harmonic Series Music: Encyclopedia Ii - Harmonic Series Music - Terminology
Harmonic vs. partial. Harmonics are often called partials. In some contexts, "partial" may refer to an overtone that is not an integer mu...   » Read the article

Encyclopedia - Harmonic Series Music: Encyclopedia Ii - Harmonic Series Music - Harmonics And Tuning
If the first 15 harmonics are transposed into the span of one octave, they approximate some of the notes in what the West has adopted as ...   » Read the article

Encyclopedia - Harmonic Series Music: Encyclopedia Ii - Harmonic Series Music - Register And Special Effects Of Musical Instruments
In wind instruments, which produce sounds with a resonating air column, the lowest possible note is the fundamental resonance of the enti...   » Read the article

Encyclopedia - Harmonic Series Music: Encyclopedia Ii - Harmonic Series Music - Timbre Of Musical Instruments
The relative amplitudes of the various harmonics primarily determine the timbre of different instruments and sounds, though formants also...   » Read the article

Encyclopedia - Proof That The Sum Of The Reciprocals Of The Primes Diverges: Encyclopedia Ii - Proof That The Sum Of The Reciprocals Of The Primes Diverges - The Harmonic Series
First, we describe how Euler originally discovered the result. He was considering the harmonic series He had already used the followin...   » Read the article

Encyclopedia - Harmonic: Encyclopedia - Harmonic
In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integer multiple of the fund...   » Read the article

Encyclopedia - Overtone: Encyclopedia - Overtone
An overtone is a sinusoidal component of a waveform, of greater frequency than its fundamental frequency. Usually the first overtone is t...   » Read the article

Encyclopedia - Mark Harmon: Encyclopedia Ii - Mark Harmon - Filmography
Mark Harmon - TV Series. NCIS: Naval Criminal Investigative Service (2003) - Special Agent Leroy Jethro Gibbs The West Wing (2002) - A...   » Read the article

Encyclopedia - Divergent Series: Encyclopedia - Divergent Series
In mathematics, a divergent series is an infinite series that does not converge. That is, divergent series and convergent series are anto...   » Read the article

Encyclopedia - Additive Synthesis: Encyclopedia - Additive Synthesis
Additive synthesis is a technique of audio synthesis which creates musical timbre. Since different instruments' timbre is composed of var...   » Read the article

Encyclopedia - Harmony: Encyclopedia - Harmony
Harmony is the use and study of pitch simultaneity and chords, actual or implied, in music. It is sometimes referred to as the "vertical"...   » Read the article

Encyclopedia - Bugle Instrument: Encyclopedia - Bugle Instrument
The bugle is one of the simplest brass instruments; it is essentially a small natural horn with no valves. All pitch control is done by v...   » Read the article

Encyclopedia - Chord Progression: Encyclopedia - Chord Progression
A chord progression (also chord sequence and harmonic progression or sequence), as its name implies, is a series of chords played in an o...   » Read the article

Encyclopedia - Digamma Function: Encyclopedia Ii - Digamma Function - Integral Representations
It has the integral representation This may be written as which follows from Euler's integral formula for the harmonic numbers. ....   » Read the article

Encyclopedia - Cycle Studies: Encyclopedia - Cycle Studies
Cycles are series of states or conditions that repeat themselves, usually after a regular or nearly regular period. Cyclic behaviour is o...   » Read the article

Encyclopedia - Rolfing: Encyclopedia - Rolfing
Rolfing, also known as Structural Integration, is a codified series of soft tissue manipulation, which organizes soft tissue relationship...   » Read the article

Encyclopedia - Autocorrelation: Encyclopedia - Autocorrelation
Autocorrelation is a mathematical tool used frequently in signal processing for analysing functions or series of values, such as time dom...   » Read the article

Encyclopedia - Digamma Function: Encyclopedia Ii - Digamma Function - Relation To Harmonic Numbers
The digamma function, often denoted also as ψ0(x), ψ0(x) or F (after the shape of the obsolete Greek letter Ϝ digamma), is related to ...   » Read the article

Encyclopedia - Multiphonic: Encyclopedia Ii - Multiphonic - Technique
On woodwind instruments, multiphonics can be produced either with new fingerings or by using different embouchures with conventional fing...   » Read the article

Encyclopedia - Harmonic Number: Encyclopedia Ii - Harmonic Number - Introduction
The generalized harmonic number of order n of m is given by . Note that n may be equal to , provided m > 1. And If , while , the har...   » Read the article

Encyclopedia - Digamma Function: Encyclopedia Ii - Digamma Function - Recurrence Formula
The digamma function satisfies the recurrence relation Thus, it can be said to "telescope" 1/x, for one has where Δ is the forward...   » Read the article

Encyclopedia - Digamma Function: Encyclopedia Ii - Digamma Function - Newton Series
The Newton series for the digamma follows from Euler's integral formula: where is the binomial coefficient. ... See also:Digamma ...   » Read the article

Encyclopedia - Digamma Function: Encyclopedia Ii - Digamma Function - Taylor Series
The digamma has a rational zeta series, given by the Taylor series at z=1. This is , which converges for |z|<1. Here, ζ(n) is the R...   » Read the article

Encyclopedia - Proof That The Sum Of The Reciprocals Of The Primes Diverges: Encyclopedia Ii - Proof That The Sum Of The Reciprocals Of The Primes Diverges - First Proof
Euler took the above product formula and proceeded to make a sequence of audacious leaps of logic. First, he took the logarithm of each s...   » Read the article

Encyclopedia - Proof That The Sum Of The Reciprocals Of The Primes Diverges: Encyclopedia Ii - Proof That The Sum Of The Reciprocals Of The Primes Diverges - Third Proof
Here is another proof that actually gives an estimate for the sum; in particular, it shows that the sum grows at least as large as lnlnn....   » Read the article

Encyclopedia - Khinchin's Constant: Encyclopedia Ii - Khinchin's Constant - Hölder Means
The Khinchin constant can be viewed as the first in a series of the Hölder means of the terms of continued fractions. Given an arbitrary...   » Read the article

Encyclopedia - Khinchin's Constant: Encyclopedia Ii - Khinchin's Constant - Series Expressions
Khinchin's constant may be expressed as a rational zeta series in the form or, by peeling off terms in the series, where N is an in...   » Read the article

Encyclopedia - Natural Horn: Encyclopedia Ii - Natural Horn - Handhorn Technique
Before starting to learn handhorn technique get to know the harmonic series of the horn or the notes that can naturally be played without...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Definition Of Fourier Series
Suppose that f(x), a complex-valued function of a real variable, is periodic with period 2π, and is square-integrable over the interval ...   » Read the article

Encyclopedia - Harmonic Number: Encyclopedia Ii - Harmonic Number - Generalizations
Euler's integral formula for the harmonic numbers follows from the integral identity which holds for general complex-valued s, for the...   » Read the article

Encyclopedia - Multiphonic: Encyclopedia Ii - Multiphonic - How Multiphonics Work
In general, when playing a wind instrument, the tone that comes out consists of the fundamental—the pitch usually identified as the not...   » Read the article

Encyclopedia - Multiphonic: Encyclopedia Ii - Multiphonic - Use In Literature
The first real use of multiphonics in literature are of the brass "horn chord" style. Carl Maria von Weber used this technique in his hor...   » Read the article

Encyclopedia - Harmonic Function: Encyclopedia Ii - Harmonic Function - Remarks
The set of harmonic functions on a given open set U can be seen as the kernel of the Laplace operator Δ and is therefore a vector space ...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Physics And Structure
There are a variety of tether designs. Almost every design includes a base station, a cable, climbers, and a counterweight. Space elevat...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Construction
The construction of a space elevator would be a vast project, requiring advances in engineering and physical technology. NASA has identif...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Failure Modes And Safety Issues
As with any structure, there are a number of ways in which things could go wrong. A space elevator would present a considerable navigatio...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Economics
Main article: space elevator economics With a space elevator, materials could be sent into orbit at a fraction of the current cost. Moder...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Political Issues
One potential problem with a space elevator would be the issue of ownership and control. Such an elevator would require significant inves...   » Read the article

Encyclopedia - Picardy Third: Encyclopedia Ii - Picardy Third - Scientific Explanation
It may be possible for the aural effect of the picardy third to be described scientifically - a major triad can be found in the 4th, 5th,...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - History
The concept of the space elevator first appeared in 1895 when a Russian scientist Konstantin Tsiolkovsky was inspired by the Eiffel Tower...   » Read the article

Encyclopedia - Proof That The Sum Of The Reciprocals Of The Primes Diverges: Encyclopedia Ii - Proof That The Sum Of The Reciprocals Of The Primes Diverges - Second Proof
A proof by contradiction follows. Assume that the sum of the reciprocals of the primes converges: Define pi as the ith prime number. We h...   » Read the article

Encyclopedia - Space Elevator: Encyclopedia Ii - Space Elevator - Fiction
Titles in alphabetical order. Note: Some depictions were made before the space elevator concept became known. Space elevator - Novels an...   » Read the article

Encyclopedia - Stretched Tuning: Encyclopedia Ii - Stretched Tuning - Fundamentals And Harmonics
In most musical instruments, the tone-generating component (a string or resonant column of air) vibrates at multiple frequencies simultan...   » Read the article

Encyclopedia - Brass Instrument: Encyclopedia Ii - Brass Instrument - Valves
As noted above, valves allow brass players to change pitches A piston valve is a device used to change the pitch of a brass instrument; t...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Example
Let f(x) = x be the identity function for x from −π to π. Outside this domain, the Fourier series implicitly requires that we define ...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Convergence Of Fourier Series
While the Fourier coefficients an and bn can be formally defined for any function for which the integrals make sense, whether the series ...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Orthogonality
The Fourier basis functions are orthogonal in the discrete space where δ(x) is the Dirac delta function and δT(x) is the Dirac comb ...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Some Positive Consequences Of The Homomorphism Properties Of Exp
Because "basis functions" eikx are homomorphisms of the real line (more precisely, of the "circle group") we have some useful identities:...   » Read the article

Encyclopedia - Valve Sound: Encyclopedia Ii - Valve Sound - Asymmetry
The very earliest amplifiers usually had single-ended topologies with the most basic type of vacuum tube, known as a triode. An audio amp...   » Read the article

Encyclopedia - Fourier Series: Encyclopedia Ii - Fourier Series - Plancherel's And Parseval's Theorem
Another important property of the Fourier series is the Plancherel theorem Parseval's theorem, a special case of the Plancherel theore...   » Read the article

Encyclopedia - Normal Mode: Encyclopedia Ii - Normal Mode - Example - Normal Modes Of Coupled Oscillators
Consider two bodies (not affected by gravity), each of mass M, attached to three springs with stiffness K. They are attached in the follo...   » Read the article

Encyclopedia - Normal Mode: Encyclopedia Ii - Normal Mode - Standing Waves
A standing wave is a continuous form of normal mode. In a standing wave, all the space elements (i.e (x,y,z) coordinates) are oscillating...   » Read the article

Encyclopedia - Normal Mode: Encyclopedia Ii - Normal Mode - Normal Modes In Quantum Mechanics
In quantum mechanics, a state of a system is described by a wavefunction of (x, t) which solves the Schrödinger equation. The square of...   » Read the article

Encyclopedia - Zeta Distribution: Encyclopedia Ii - Zeta Distribution - The Case S = 1
ζ(1) is infinite as the harmonic series, and so the case when s = 1 is not meaningful. However, if A is any set of positive integers tha...   » Read the article

Encyclopedia - Sonic The Hedgehog Tv Series: Encyclopedia Ii - Sonic The Hedgehog Tv Series - Episode List
Sonic the Hedgehog TV series - Season 1. Heads or Tails Sonic Past Cool Sub Sonic Warp Sonic Sonic and Sally Ultra Sonic Sonic Racer H...   » Read the article

Encyclopedia - Timbre: Encyclopedia Ii - Timbre - Spectra
Each note produced by a musical instrument is made of a number of distinct frequencies, measured in hertz (Hz). The lowest frequency is c...   » Read the article

Encyclopedia - Square Wave: Encyclopedia Ii - Square Wave - Examining The Square Wave
In contrast to the sawtooth wave, which contains all integer harmonics, the square wave contains only odd integer harmonics. Using Fourie...   » Read the article

Encyclopedia - Ncis Tv Series: Encyclopedia Ii - Ncis Tv Series - Characters
NCIS TV series - Main Characters. Special Agent Leroy Jethro Gibbs (Mark Harmon) A senior NCIS agent. An experienced former US Marine ...   » Read the article

Encyclopedia - Fairlight Cmi: Encyclopedia Ii - Fairlight Cmi - Features Timeline
Quasar I, II, and (last) M8 (1975-1977) $20,000 USD base price Dual Motorola 6800 CPUs Made by Fairlight and Creative Strategies 8 voice...   » Read the article

Encyclopedia - Valve Sound: Encyclopedia Ii - Valve Sound - Asymmetry
Early amplifiers were of necessity valve amplifiers since the transistor did not become common in consumer amplifiers until the late 1960...   » Read the article

Encyclopedia - Jag: Encyclopedia Ii - Jag - Main Cast
Note: All military ranks given for currently used characters are their ranks as of the end of the series in April 2005. For characters th...   » Read the article

Encyclopedia - Equal Temperament: Encyclopedia Ii - Equal Temperament - Explanation
The distance between each step and the next is aurally the same for any two adjacent steps; though, because steps form a geometric sequen...   » Read the article

Encyclopedia - Fourier Transform: Encyclopedia Ii - Fourier Transform - Interpretation In Terms Of Time And Frequency
In terms of signal processing, the transform takes a time series representation of a signal function and maps it into a frequency spectru...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Ac Steady State
In general, the solutions for the voltages and currents in a circuit containing resistors, capacitors and inductors (in short, all linear...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Definition Of Impedance
The impedance of a circuit element is defined as the ratio of the phasor voltage across the element to the phasor current through the ele...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Impedance Of Different Devices
Electrical impedance - Resistor. For a resistor, we have the relation: That is, the ratio of the instantaneous voltage and current a...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Reactance
See main article: Reactance The term reactance refers to the imaginary part of the impedance. Some examples: A resistor's impedance is R ...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Combining Impedances
Combining impedances in series, parallel, or in delta-wye configurations, is the same as for resistors. The difference is that combining ...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Circuits With General Sources
Impedance is defined by the ratio of two phasors where a phasor is the complex peak amplitude of a sinusoidal function of time. For more ...   » Read the article

Encyclopedia - Trombone: Encyclopedia Ii - Trombone - Technique
As with all brass instruments, progressive tightening of the lips and increased air pressure allow the player to move to a different part...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Magnitude And Phase Of Impedance
Complex numbers are commonly expressed in two distinct forms. The rectangular form is simply the sum of the real part with the product of...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Peak Phasor Versus Rms Phasor
A sinusoidal voltage or current has a peak amplitude value as well as an rms (root mean square) value. It can be shown that the rms value...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Matched Impedances
When fitting components together to carry electromagnetic signals, it is important to match impedance, which can be achieved with various...   » Read the article

Encyclopedia - Electrical Impedance: Encyclopedia Ii - Electrical Impedance - Definition Of Impedance
The impedance of a circuit element is defined as the ratio of the phasor voltage across the element to the phasor current through the ele...   » Read the article

Encyclopedia - Accordion: Encyclopedia Ii - Accordion - Piano Accordions
The piano accordion is the instrument most often indicated by the term "accordion", but it is one of the most recent inventions among acc...   » Read the article

Encyclopedia - Civil Rights Act Of 1991: Encyclopedia Ii - Civil Rights Act Of 1991 - Impetus For The Act
Congress had amended Title VII once before, in 1972, when it broadened the coverage of the Act. It was moved to overhaul Title VII in 199...   » Read the article

Encyclopedia - The Monkees: Encyclopedia Ii - The Monkees - Impact Of The Monkees
The Monkees, selected specifically to appeal to the youth market with their manufactured personae and carefully produced singles, can be ...   » Read the article

Encyclopedia - Accordion: Encyclopedia Ii - Accordion - Piano Accordions
The piano accordion is the instrument most often indicated by the term "accordion", but it is one of the most recent inventions among acc...   » Read the article

Encyclopedia - Scryed: Encyclopedia Ii - Scryed - Kazuma's And Ryuhou's Evolving Alters And Fighting Styles
It is interesting to note that Kazuma's and Ryuhou's alters are symbolic interpretations of their character development. For instance, Ka...   » Read the article

Encyclopedia - Numerology: Encyclopedia Ii - Numerology - In Popular Culture
In the movie π, the protagonist is searching for hidden numerical patterns in the stock market and the Torah. Each Hebrew letter corresp...   » Read the article

Encyclopedia - Final Fantasy Vi: Encyclopedia Ii - Final Fantasy Vi - Musical Score
The soundtrack for Final Fantasy VI is the work of long-time series contributor Nobuo Uematsu. The score consists of themes for each majo...   » Read the article

Encyclopedia - Steve Vai: Encyclopedia Ii - Steve Vai - Equipment
Vai is an accomplished studio producer (he owns two: "The Mother Ship" and "The Harmony Hut") and his own recordings combine his signatur...   » Read the article

Encyclopedia - The Bold And The Beautiful: Encyclopedia Ii - The Bold And The Beautiful - Background & History
The series focuses upon the Forrester family and its Los Angeles fashion empire, called Forrester Creations. Spectra Couture (formally Sp...   » Read the article

Encyclopedia - Numerology: Encyclopedia Ii - Numerology - In Popular Culture
In the movie π, the protagonist is searching for hidden numerical patterns in the stock market and the Torah. Each Hebrew letter corresp...   » Read the article

Encyclopedia - Trombone: Encyclopedia Ii - Trombone - Types Of Trombone
The most frequently encountered trombones today are the tenor and bass, though as with other Renaissance instruments such as the recorder...   » Read the article

Encyclopedia - Equal Temperament: Encyclopedia Ii - Equal Temperament - History
Vincenzo Galilei (father of Galileo Galilei) may have been the first person to advocate equal temperament (in a 1581 treatise). The first...   » Read the article

Encyclopedia - Baroque Trumpet: Encyclopedia Ii - Baroque Trumpet - History
The first trumpets were made by vibrating the lips into an amplifier of some type, like a shell or an animal horn. The first metal trumpe...   » Read the article

Dictionary - Christian Fundamentalism: New Age Spirituality Dictionary On Christian Fundamentalism
Christian Fundamentalism Fundamentalism is a Protestant view that affirms the absolute and unerring authority of the Bible, rules out ...   » Read the article

Dictionary - Christian Fundamentalism: New Age Spirituality Dictionary On Christian Fundamentalism
Christian Fundamentalism Fundamentalism is a Protestant view that affirms the absolute and unerring authority of the Bible, rules out ...   » Read the article

Dictionary - Christian Fundamentalism: New Age Spirituality Dictionary On Christian Fundamentalism
Christian Fundamentalism Fundamentalism is a Protestant view that affirms the absolute and unerring authority of the Bible, rules out ...   » Read the article

Dictionary - Cancer, Carcinoma: Spiritual - Theosophy Dictionary On Cancer, Carcinoma
Cancer, Carcinoma A malignant opithelial tumor composed of a connective tissue-stroma surrounding groups or nests of multiplying epith...   » Read the article

Encyclopedia - Brass Instrument: Encyclopedia Ii - Brass Instrument - Families Of Brass Instruments
Brass instruments nowadays generally come in one of two families: Piston valve Rotary valve Slide Valved brass instruments use a set ...   » Read the article

Encyclopedia - Equal Temperament: Encyclopedia Ii - Equal Temperament - Twelve-tone Equal Temperament
The ratio between two adjacent semitones can be found with a few steps: 1. Let an be the frequency of a tone n, with a12 an octave above...   » Read the article

Encyclopedia - Brass Instrument: Encyclopedia Ii - Brass Instrument - Sound Production In Brass Instruments
Because the player of a brass instrument has direct control of the prime vibrator (the lips), brass instruments exploit the player's abil...   » Read the article

Encyclopedia - Trombone: Encyclopedia Ii - Trombone - History
Until the early 18th century, the trombone was called the sackbut in English, a word with various different spellings ranging from sackbu...   » Read the article

Encyclopedia - Baroque Trumpet: Encyclopedia Ii - Baroque Trumpet - Modern Replicas
Today, replicas of the natural trumpets from the Baroque era are called baroque trumpets. These reproductions are usually employed by per...   » Read the article

Encyclopedia - Trombone: Encyclopedia Ii - Trombone - Construction
The trombone consists of a cylindrical tube bent into an elongated "S" shape in a complex series of tapers, the smallest being at the mou...   » Read the article

Encyclopedia - Trombone: Encyclopedia Ii - Trombone - Variations In Construction
Trombone - Bells. Trombone bells (and sometimes slides) may be constructed of different brass mixtures to achieve slightly different ti...   » Read the article

Article - Oceanography Sitemap I - A-z
This is a sitemap for Oceanography - A-Z . Click on a link and you will find multiple definitions and articles related to the word. Th...   » Read the article