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A harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency , i.e.Harmonic series (music) (2,375 words) [view diff] no match in snippet view article find links to article...

A harmonic series is the sequence of all multiples of a base frequency. often based on an approximate harmonic oscillator such as a stringHarmonic function (2,538 words) [view diff] no match in snippet view article find links to article...

In mathematics , mathematical physics and the theory of stochastic process es, a harmonic function is a twice continuously differentiableHarmonic oscillator (3,990 words) [view diff] no match in snippet view article find links to article...

In classical mechanics , a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoringHarmony (4,500 words) [view diff] no match in snippet view article find links to article...

The roughness of two simultaneous harmonic complex tones depends on the amplitudes of the harmonics and the interval between the tones.Harmonic mean (2,451 words) [view diff] no match in snippet view article find links to article...

In mathematics , the harmonic mean (sometimes called the subcontrary mean) is one of several kinds of average . Typically, it isHarmonic series (mathematics) (2,402 words) [view diff] no match in snippet view article find links to article...

In mathematics , the harmonic series is the divergent infinite series : \ sum_n 1^\infty\,\frac 1 n \;\;\;\; 1 \,+\, \frac 1 2 \,+\, \Simple harmonic motion (1,525 words) [view diff] no match in snippet view article find links to article...

In mechanics and physics , simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to theMinor scale (2,144 words) [view diff] no match in snippet view article find links to article...

Harmonic minor scale: File:A harmonic minor scale ascending and descending. png | Play The notes of the harmonic minor scale are the same asHarmonics (electrical power) (1,230 words) [view diff] no match in snippet view article find links to article...

Harmonics voltages and currents in an electric power system are a result of non-linear electric loads. Harmonic frequencies in the powerOvertone (1,768 words) [view diff] no match in snippet view article find links to article...

Using the model of Fourier analysis , the fundamental and the overtones together are called partials . Harmonics , or more precisely,Harmonica (8,231 words) [view diff] no match in snippet view article find links to article...

name | names | image 16-hole chrom 10-hole diatonic. jpg | image_capt A 16-hole chromatic (top) and 10-hole diatonic harmonica |Tonality (5,866 words) [view diff] no match in snippet view article find links to article...

Major-minor tonality is also called harmonic tonality, diatonic tonality, common practice tonality, functional tonality, or just tonality.Guitar harmonics (1,393 words) [view diff] no match in snippet view article find links to article...

A guitar harmonic is a musical note played by preventing or amplifying vibration of certain overtones of a guitar string.Harmonic Inc. (1,181 words) [view diff] no match in snippet view article find links to article...

Harmonic Inc. is an American technology company that develops and markets video routing, server, and storage products for companies thatNormal mode (2,693 words) [view diff] no match in snippet view article find links to article...

are called "harmonics " or "overtones ". The most general motion of a system is a superposition of its normal modes. The modes are normalHarmonic map (1,126 words) [view diff] no match in snippet view article find links to article...

A (smooth) map φ:M→N between Riemannian manifolds M and N is called harmonic if it is a critical point of the Dirichlet energyHarmonic coordinates (623 words) [view diff] no match in snippet view article find links to article...

In Riemannian geometry , a branch of mathematics , harmonic coordinates are a coordinate system (x 1,..., functions x i is harmonic ,Harmonic coordinate condition (931 words) [view diff] no match in snippet view article find links to article...

The harmonic coordinate condition is one of several coordinate conditions in general relativity , which make it possible to solve theLaplace operator (2,373 words) [view diff] no match in snippet view article find links to article...

Solutions of the equation ∆f 0, now called Laplace's equation , are the so-called harmonic function s, and represent the possibleVowel harmony (3,539 words) [view diff] no match in snippet view article find links to article...

Neutral vowels may be opaque and block harmonic processes or they may be transparent and not affect them Intervening consonants are alsoHarmonic (mathematics) (119 words) [view diff] no match in snippet view article find links to article...

In mathematics , a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental:Josh G Abrahams (1,835 words) [view diff] no match in snippet view article find links to article...

the Australian musician also known as Puretone | the US record producer with a similar name | Josh Abraham date May 2013 date May 2013 nameTraditional sub-Saharan African harmony (5,051 words) [view diff] no match in snippet view article find links to article...

(or instrumental line) to obtain harmonic simultaneous sound in relation to the melodic line of a first vocalist (or instrumental line TheList of shipwrecks in July 1943 (11,281 words) [view diff] no match in snippet view article find links to article...

15 July : Harmonic | 2 (United Kingdom | civil World War II: The cargo ship was torpedoed and sunk in the South Atlantic. 600 | nmi | kmSpherical harmonics (7,149 words) [view diff] no match in snippet view article find links to article...

In mathematics , spherical harmonics are the angular portion of a set of solutions to Laplace's equation . spherical harmonics Y_\ell^m areQuantum harmonic oscillator (4,385 words) [view diff] no match in snippet view article find links to article...

The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator . approximated as a harmonicHarmonic number (2,771 words) [view diff] no match in snippet view article find links to article...

In mathematics , the n-th harmonic number is the sum of the reciprocals of the first n natural number s: H_n 1+\frac 1 2+\frac 1 3+\cdots+\Pinch harmonic (1,104 words) [view diff] no match in snippet view article find links to article...

A Pinch harmonic (also known as squelch picking, pick harmonic or squealy) is a guitar technique in which the player's thumb or indexSecond-harmonic generation (2,900 words) [view diff] no match in snippet view article find links to article...

Second harmonic generation (also called frequency doubling or abbreviated SHG) is a nonlinear optical process, in which photon s with theHarmonic tremor (315 words) [view diff] no match in snippet view article find links to article...

Harmonic tremor describes a long-duration release of seismic energy, with distinct spectral (harmonic) lines, that often precedes orArtificial harmonic (418 words) [view diff] no match in snippet view article find links to article...

To produce an artificial harmonic, a stringed instrument player holds down a note on the neck with one finger of the non-dominant handHarmonices Mundi (1,865 words) [view diff] no match in snippet view article find links to article...

Harmonices Mundi (Latin : The Harmony of the World, 1619) is a book by Johannes Kepler . In the work Kepler discusses harmony andHarmonic rhythm (473 words) [view diff] no match in snippet view article find links to article...

In music theory , harmonic rhythm, also known as harmonic tempo is the rate at which the chords change (or progress ) in a musicalSolid harmonics (1,720 words) [view diff] no match in snippet view article find links to article...

In physics and mathematics , the solid harmonics are solutions of the Laplace equation in spherical polar coordinates . harmonics R^m_\ellHarmonic Convergence (1,417 words) [view diff] no match in snippet view article find links to article...

The Harmonic Convergence is the name given to one of the world's first globally synchronized meditation events, which occurred on August 16–Harmonic drive (1,252 words) [view diff] no match in snippet view article find links to article...

Harmonic Drive is a trademark of the Harmonic Drive companies for a type of mechanical gear system also known as a "strain wave gear" thatHarmonic divisor number (809 words) [view diff] no match in snippet view article find links to article...

In mathematics , a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whosePsy-Harmonics (446 words) [view diff] no match in snippet view article find links to article...

Based in Australia , Psy-Harmonics is an independent record label specialising in electronic music that was founded by Ollie Olsen andHarmonic measure (1,447 words) [view diff] no match in snippet view article find links to article...

In mathematics , especially potential theory , harmonic measure is a concept related to the theory of harmonic function s that arises fromDouble harmonic scale (853 words) [view diff] no match in snippet view article find links to article...

In music , the double harmonic major scale is a scale whose gaps may sound "exotic" to Western listeners. This is also known as theHarmonic seventh chord (942 words) [view diff] no match in snippet view article find links to article...

The harmonic seventh chord is a major triad plus the harmonic seventh interval (ratio of 7:4, about 968.826 cents ). This interval isHarmonic conjugate (919 words) [view diff] no match in snippet view article find links to article...

Therefore a harmonic function u admits a conjugated harmonic function if and only if the holomorphic function g(z):u_x(x,y)-iu_y(x,y) hasProjective harmonic conjugate (1,215 words) [view diff] no match in snippet view article find links to article...

projective geometry , the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the followingHarmonic major scale (835 words) [view diff] no match in snippet view article find links to article...

In music theory , the harmonic major scale is a musical scale which found occasional use during the common practice era and is nowHarmonic mixing (624 words) [view diff] no match in snippet view article find links to article...

Harmonic mixing or key mixing is a DJ 's continuous mix between two pre-recorded tracks that are most often either in the same key, orTap harmonic (86 words) [view diff] no match in snippet view article find links to article...

Tap harmonic is a technique used with fretted string instruments, (usually guitar ). It is executed by tapping on the actual fret wireThe City Harmonic (1,599 words) [view diff] no match in snippet view article find links to article...

The City Harmonic is a Juno Award winning Canadian Christian rock band formed in 2009 after having served together as the house worshipStanford Harmonics (1,539 words) [view diff] no match in snippet view article find links to article...

The Stanford Harmonics are a co-ed a cappella group from Stanford University in the United States. the Harmonics have garneredScale of harmonics (720 words) [view diff] no match in snippet view article find links to article...

The scale of harmonics is a musical scale based on the noded positions of the natural harmonic s existing on a string . date January 2009Harmonic balancer (451 words) [view diff] no match in snippet view article find links to article...

A harmonic balancer (also called crank pulley damper, crankshaft damper, torsional damper, or vibration damper) is a device connected toZonal spherical harmonics (622 words) [view diff] no match in snippet view article find links to article...

In the mathematical study of rotational symmetry , the zonal spherical harmonics are special spherical harmonics that are invariant underSpin-weighted spherical harmonics (1,790 words) [view diff] no match in snippet view article find links to article...

In special functions , a topic in mathematics , spin-weighted spherical harmonics are generalizations of the standard spherical harmonicsHarmonic balance (660 words) [view diff] no match in snippet view article find links to article...

Harmonic balance is a method used to calculate the steady-state response of non-linear differential equations, and is mostly applied toVector spherical harmonics (1,520 words) [view diff] no match in snippet view article find links to article...

In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for the use with vector field s.Sigma Harmonics (1,734 words) [view diff] no match in snippet view article find links to article...

Sigma Harmonics was first revealed as one of the trademarks registered by Square Enix. The game was developed by Think Garage , which hadHarmonic Scale (362 words) [view diff] no match in snippet view article find links to article...

The Harmonic Scale is a "Super-Just" musical scale allowing extended just intonation , beyond 5- limit to the 19th harmonicCylindrical harmonics (1,533 words) [view diff] no match in snippet view article find links to article...

In mathematics , the cylindrical harmonics are a set of linearly independent solutions to Laplace's differential equation , \nabla^2 V 0,Harmonic mixer (638 words) [view diff] no match in snippet view article find links to article...

The harmonic mixer and subharmonic mixer are a type of frequency mixer , which is a circuit that changes one signal frequency to another.Harmonic scalpel (384 words) [view diff] no match in snippet view article find links to article...

The Harmonic scalpel is a cutting instrument used during surgical procedures to simultaneously cut and coagulate tissue. The instrument isHarmonic division (195 words) [view diff] no match in snippet view article find links to article...

In geometry , harmonic division of a line segment AB means identifying two point s C and D such that AB is divided internally andHarmonic spectrum (88 words) [view diff] no match in snippet view article find links to article...

A harmonic spectrum is a spectrum containing only frequency components whose frequencies are whole number multiples of the fundamentalParallel harmony (294 words) [view diff] no match in snippet view article find links to article...

In music , parallel harmony, also known as harmonic parallelism, harmonic planing or parallel voice leading, is the parallel movement ofSpherical Harmonic (994 words) [view diff] no match in snippet view article find links to article...

Spherical Harmonic is a science fiction novel from the Saga of the Skolian Empire by Catherine Asaro . It tells the story of DyhiannaHarmonic progression (mathematics) (314 words) [view diff] no match in snippet view article find links to article...

In mathematics , a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmeticLeibniz harmonic triangle (476 words) [view diff] no match in snippet view article find links to article...

The Leibniz harmonic triangle is a triangular arrangement of fractions in which the outermost diagonals consist of the reciprocal s of theHarmonic superspace (878 words) [view diff] no match in snippet view article find links to article...

In supersymmetry , harmonic superspace is one way of dealing with supersymmetric theories with 8 real SUSY generators in a manifestlyHarmonic Generator (138 words) [view diff] no match in snippet view article find links to article...

Harmonic Generator is a Japanese six track EP by New Zealand rock band The Datsuns . It contains radio sessions of three songs and liveWeakly harmonic function (103 words) [view diff] no match in snippet view article find links to article...

In mathematics , a function f is weakly harmonic in a domain D if :\ int_D f\, \Delta g 0 for all g with compact support in D and continuousFundamental frequency (922 words) [view diff] no match in snippet view article find links to article...

counting from zero In other contexts, it is more common to abbreviate it as f 1, the first harmonic (The second harmonic is then f 2 2⋅f 1, etc.Complex harmonic motion (51 words) [view diff] no match in snippet view article find links to article...

Complex harmonic motion occurs when a number of simple harmonic motion s are combined. Chord s in music are an example of this phenomenon.Harmonic Tremors (187 words) [view diff] no match in snippet view article find links to article...

Harmonic Tremors is the first full-length album by American post-metal band Zozobra . Track listing : The Blessing – 5:36 Kill and Crush – 3:Harmonic Grammar (1,029 words) [view diff] no match in snippet view article find links to article...

Harmonic Grammar is a linguistic model proposed by Geraldine Legendre , Yoshiro Miyata , and Paul Smolensky in 1990. It is aCubic harmonic (1,745 words) [view diff] no match in snippet view article find links to article...

or spin-orbital s, as they appear in textbooks on quantum physics, are often partially replaced by cubic harmonics for a number of reasons.Overtone singing (2,532 words) [view diff] no match in snippet view article find links to article...

Overtone singing, also known as overtone chanting, or harmonic singing, is a type of singing in which the singer manipulates the resonance sHigh harmonic generation (1,065 words) [view diff] no match in snippet view article find links to article...

in 1988 with surprising results: the high harmonics were found to decrease in intensity at low orders, as expected,but then were observedNoncommutative harmonic analysis (538 words) [view diff] no match in snippet view article find links to article...

In mathematics , noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological group sGeometric–harmonic mean (419 words) [view diff] no match in snippet view article find links to article...

In mathematics , the geometric–harmonic mean M(x, y) of two positive real number s x and y is defined as follows: we form the geometricHarmonic damper (660 words) [view diff] no match in snippet view article find links to article...

A harmonic damper is a device fitted to the free (accessory drive) end of the crankshaft of an internal combustion engine .Tuned mass damper (2,382 words) [view diff] no match in snippet view article find links to article...

A tuned mass damper, also known as a harmonic absorber, is a device mounted in structures to reduce the amplitude of mechanical vibration sHarmonic polynomial (154 words) [view diff] no match in snippet view article find links to article...

In mathematics , in abstract algebra , a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial.Harmonic differential (441 words) [view diff] no match in snippet view article find links to article...

In mathematics, a real differential one-form ω on a surface is called a harmonic differential if ω and its conjugate one-form, written asHarmonic wavelet transform (809 words) [view diff] no match in snippet view article find links to article...

In the mathematics of signal processing , the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet -basedExciter (effect) (596 words) [view diff] no match in snippet view article find links to article...

An exciter (also called a harmonic exciter or aural exciter) is an audio signal processing technique used to enhance a signal by dynamicSecond-harmonic imaging microscopy (823 words) [view diff] no match in snippet view article find links to article...

Second-harmonic imaging microscopy (SHIM) is based on a nonlinear optical effect known as second-harmonic generation (SHG).Harmonic Vector Excitation Coding (825 words) [view diff] no match in snippet view article find links to article...

Harmonic Vector Excitation Coding, abbreviated as HVXC is a speech coding algorithm specified in MPEG-4 Part 3 (MPEG-4 Audio) standardNottingham Harmonic Society (189 words) [view diff] no match in snippet view article find links to article...

Nottingham Harmonic Society is Nottingham 's civic choir , and has established itself as one of the leading provincial choruses in Britain.Positive harmonic function (698 words) [view diff] no match in snippet view article find links to article...

In mathematics , a positive harmonic function on the unit disc in the complex numbers is characterized as the Poisson integral of aLamé function (355 words) [view diff] no match in snippet view article find links to article...

In mathematics, a Lamé function (or ellipsoidal harmonic function) is a solution of Lamé's equation, a second-order ordinary differentialQuasi-harmonic approximation (648 words) [view diff] no match in snippet view article find links to article...

The quasi-harmonic approximation is a phonon -based model of solid-state physics used to describe volume-dependent thermal effects, such asAcoustic telegraphy (461 words) [view diff] no match in snippet view article find links to article...

Acoustic telegraphy was also known as harmonic telegraphy. During the late 19th century, inventor s developed methods of multiplexingOxford Harmonic Choir (1,121 words) [view diff] no match in snippet view article find links to article...

Oxford Harmonic Choir is a large, mixed-voice amateur choir based in Oxford , England . It is the second-oldest non-collegiate choir inSurface second harmonic generation (2,332 words) [view diff] no match in snippet view article find links to article...

Surface second harmonic generation is a method for probing interfaces in atomic and molecular systems. In second harmonic generation (SHGSpin spherical harmonics (213 words) [view diff] no match in snippet view article find links to article...

In quantum mechanics , spin spherical harmonics are spinor s that are eigenstates of the square of the angular momentum operator , and soNonlinear optics (4,158 words) [view diff] no match in snippet view article find links to article...

Nonlinear optics remained unexplored until the discovery of Second harmonic generation shortly after demonstration of the first laser. (Interval (music) (9,437 words) [view diff] no match in snippet view article find links to article...

tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chordHarmonic table note layout (700 words) [view diff] no match in snippet view article find links to article...

The Harmonic Table note-layout, or tonal array, is a key layout for musical instruments that offers interesting advantages over thePisarenko harmonic decomposition (296 words) [view diff] no match in snippet view article find links to article...

Pisarenko harmonic decomposition, also referred to as Pisarenko's method, is a method of frequency estimation This method assumes that aJust intonation (5,717 words) [view diff] no match in snippet view article find links to article...

The two notes in any just interval are members of the same harmonic series . There will be several such series for any given justly tunedChord progression (3,347 words) [view diff] no match in snippet view article find links to article...

A chord progression (or harmonic progression) is a series of musical chord s, or chord changes that "aims for a definite goal" ofSpherical harmonic lighting (315 words) [view diff] no match in snippet view article find links to article...

Spherical harmonic (SH) lighting is a family of real-time rendering techniques that can produce highly realistic shading and shadowing withStretched tuning (1,516 words) [view diff] no match in snippet view article find links to article...

Melodic stretch refers to tunings with fundamentals stretched relative to each other, while harmonic stretch refers to tunings withUncertainty theorems in harmonic analysis (3 words) [view diff] no match in snippet view article find links to article...

redirect Uncertainty principle.List of harmonic analysis topics (227 words) [view diff] no match in snippet view article find links to article

This is a list of harmonic analysis topics. See also list of Fourier analysis topics and list of Fourier-related transforms , which areHarmonic and Individual Lines and Noise (334 words) [view diff] no match in snippet view article find links to article...

Harmonic and Individual Lines and Noise (HILN) is a parametric codec for audio . The basic premise of the encoder is that most audio,Table of spherical harmonics (5,035 words) [view diff] no match in snippet view article find links to article...

This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree l 10. Some of these formulasTime-domain harmonic scaling (326 words) [view diff] no match in snippet view article find links to article...

Time-domain harmonic scaling (TDHS) is a method for time-scale modification of speech (or other audio signals allowing the apparent rate ofThe Soul Harmonic (EP) (167 words) [view diff] no match in snippet view article find links to article...

The Soul Harmonic EP is the second EP by the Welsh alternative band Clockwork Radio (band). Produced by the band, the album was releasedHarmonic pitch class profiles (741 words) [view diff] no match in snippet view article find links to article...

Harmonic pitch class profiles (HPCP) is a vector of features extracted from an audio signal , based on the Pitch Class Profile descriptorGas in a harmonic trap (1,132 words) [view diff] no match in snippet view article find links to article...

The results of the quantum harmonic oscillator can be used to look at the equilibrium situation for a quantum ideal gas in a harmonic trapHungarian minor scale (739 words) [view diff] no match in snippet view article find links to article...

The Hungarian minor scale Double Harmonic minor scale or Gypsy minor scale is a type of combined musical scale . the double harmonic scale .Diatonic function (2,550 words) [view diff] no match in snippet view article find links to article...

Three general and inseparable essential features of harmonic function in tonal music are. Position within a gamut (the available collectionHeart (The City Harmonic album) (1,599 words) [view diff] no match in snippet view article find links to article...

Heart was the second studio album from Christian alternative /indie /piano/ rock /praise & worship band The City Harmonic , which wasOvertone flute (323 words) [view diff] no match in snippet view article find links to article...

An overtone flute is a type of a flute that is designed to play in the upper harmonic s, typically well above the two or three harmonicsRadó's theorem (harmonic functions) (126 words) [view diff] no match in snippet view article find links to article...

In mathematics , Radó's theorem is a result about harmonic function s, named after Tibor Radó . Informally, it says that any "nice lookingTritone (4,956 words) [view diff] no match in snippet view article find links to article...

For example, very long alphorn s may reach the twelfth harmonic and transcriptions of their music usually show the eleventh harmonic sharpCadence (music) (3,418 words) [view diff] no match in snippet view article find links to article...

In Western musical theory , a cadence (Latin cadentia, "a falling") is, "a melodic or harmonic configuration that creates a sense ofLaplace's equation (2,814 words) [view diff] no match in snippet view article find links to article...

The solutions of Laplace's equation are the harmonic function s, which are important in many fields of science, notably the fields ofHammond organ (9,947 words) [view diff] no match in snippet view article find links to article...

with its additional harmonic percussion feature, inspired a generation of organ players, and its use became more widespread in the 1960sMinor third (1,059 words) [view diff] no match in snippet view article find links to article...

...he Mathematical Theory of Tone Systems'', p.xxiv. ISBN 0-8247-4714-3. 19th harmonic, overtone minor tone.</ref> | ...umb|right|19th harmonic (19:16), E<sup>19</sup>{{music|flat}} {{Audio|19th harmonic on C.mid|Play}}.]]Minor third (999 words) [view diff] no match in snippet view article find links to article

The minor third may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic .Timbre (1,895 words) [view diff] no match in snippet view article find links to article...

the musical tristimulus measures the mixture of harmonic s in a given sound, grouped into three sections. The first tristimulus measuresVan der Corput lemma (harmonic analysis) (273 words) [view diff] no match in snippet view article find links to article...

In mathematics , in the field of harmonic analysis ,the van der Corput lemma is an estimate for oscillatory integral s named after the DutchRiemannian theory (302 words) [view diff] no match in snippet view article find links to article...

"upside down" versions of major triad s; this "harmonic dualism" (harmonic polarity) is what produces the change-in-direction described above.Neutral sixth (547 words) [view diff] no match in snippet view article find links to article...

...xth, and occurs infrequently in music, as little music utilizes the 13th [[harmonic]]. {{Audio|Tridecimal neutral sixth on C.mid|play}} ...eutral second]] from a [[minor seventh]]. Based on its positioning in the harmonic series, the undecimal neutral sixth implies a [[root (chord)|root]] one minNeutral sixth (496 words) [view diff] no match in snippet view article find links to article

Based on its positioning in the harmonic series, the undecimal neutral sixth implies a root one minor seventh above the higher of the twoChord substitution (1,547 words) [view diff] no match in snippet view article find links to article...

The substitute chord must have some harmonic quality and degree of function in common with the original chord, and often only differs byPaul Erlich (439 words) [view diff] no match in snippet view article find links to article...

His invention of harmonic entropy has received significant attention from music theorists such as William Sethares . It is intended toHodge theory (1,124 words) [view diff] no match in snippet view article find links to article...

This grading comes initially from the theory of harmonic forms, that are privileged representatives in a de Rham cohomology class pickedMark Pritchard (music producer) (2,725 words) [view diff] no match in snippet view article find links to article...

Harmonic 313 : Pritchard has released under this alias through Warp Records since 2008. moniker to link with his Harmonic 33 project whilstGeometric mean (2,940 words) [view diff] no match in snippet view article find links to article...

geometric mean is also one of the three classical Pythagorean means , together with the aforementioned arithmetic mean and the harmonic mean .De Bruijn's theorem (1,242 words) [view diff] no match in snippet view article find links to article...

According to this theorem, a "harmonic brick" (one in which each side length is a multiple of the next smaller side length) can only beOptical frequency multiplier (339 words) [view diff] no match in snippet view article find links to article...

There are two processes that are commonly used to achieve the conversion: second harmonic generation (SHG, also called frequency doublingCapacity of a set (1,208 words) [view diff] no match in snippet view article find links to article...

The potential energy is computed with respect to an idealized ground at infinity for the harmonic or Newtonian capacity, and with respectNorbert Wiener Center for Harmonic Analysis and Applications (464 words) [view diff] no match in snippet view article find links to article...

The Norbert Wiener Center for Harmonic Analysis and Applications (NWC) is a division of the Mathematics Department in the University ofNonchord tone (1,690 words) [view diff] no match in snippet view article find links to article...

nonharmonic tone, or embellishing tone is a note in a piece of music that is not part of the implied chord within the harmonic framework.Trombone (8,369 words) [view diff] no match in snippet view article find links to article...

Glissando -'Harmonic', 'inverted', 'broken' or 'false' glissandos are those that cross one or more harmonic series, requiring a simulatedNonlinear junction detector (254 words) [view diff] no match in snippet view article find links to article...

non-linear nature of the junction, it will rectify it, re-emitting some of it on multiples of the illumination frequency (see harmonic ).Triad (music) (1,343 words) [view diff] no match in snippet view article find links to article...

In music , a triad is a set of three notes that can be stacked in thirds The term "harmonic triad" was coined by Johannes Lippius in his "Kepler's laws of planetary motion (7,022 words) [view diff] no match in snippet view article find links to article...

viewed as the "music of the spheres " according to precise laws, and express it in terms of musical notation So it was known as the harmonic lawPluriharmonic function (1,217 words) [view diff] no match in snippet view article find links to article...

Sometimes a such function is referred as n-harmonic function, where n ≥ 2 is the dimension of the complex domain where the function isMinor diatonic semitone (230 words) [view diff] no match in snippet view article find links to article...

...8-1-4400-7170-6.</ref> making it the seventeenth [[harmonic series (music)|harmonic]]<ref name="Haluska">Haluška, Ján (2003). ''The Mathematical Theory of To ...io|Minor diatonic semitone on C.mid|Play}}.|Minor diatonic semitone in the harmonic series: 1:16:17.}}Toroidal coordinates (1,609 words) [view diff] no match in snippet view article find links to article

Toroidal harmonics Standard separation : The 3-variable Laplace equation :\ nabla^2\Phi 0 admits solution via separation of variables inDiphthong (5,420 words) [view diff] no match in snippet view article find links to article...

A third, rare type of diphthong that is neither opening nor closing is height-harmonic diphthongs, with both elements at the same vowelModal frame (627 words) [view diff] no match in snippet view article find links to article...

the quality of a note which is modally unstable and attracted to other more important tones in a non-harmonic way. melodic triadCenter of percussion (1,045 words) [view diff] no match in snippet view article find links to article...

One of the vibrational nodes of the second harmonic of a vibrating sword (the node closest to the tip) is also often (mistakenly) referredViolin (11,113 words) [view diff] no match in snippet view article find links to article...

There are two types of harmonics: natural harmonics and artificial harmonics (also known as false harmonics). Natural harmonics are playedModulation (music) (2,744 words) [view diff] no match in snippet view article find links to article...

harmonically remote from its beginning, and great dramatic tension is built while all sense of underlying tonality is temporarily in abeyance.Quarter tone (2,919 words) [view diff] no match in snippet view article find links to article...

Intervals matched particularly closely include the neutral second , neutral third , and (11:8) ratio, or the 11th harmonic. 13th harmonic,Klang (music) (1,995 words) [view diff] no match in snippet view article find links to article...

The theory of the chord of nature goes back to the discovery and the description of the harmonic partials (harmonic overtone s) in the 17Cross-ratio (2,994 words) [view diff] no match in snippet view article find links to article...

This situation is what is classically called the harmonic cross-ratio, and arises in projective harmonic conjugate s. In the real case,Accompaniment (636 words) [view diff] no match in snippet view article find links to article...

The accompaniment part usually provides the harmonic background and the rhythmic structure for the piece of music or song. The harmonicJohannes Kepler (12,217 words) [view diff] no match in snippet view article find links to article...

...aws of planetary motion]], based on his works ''[[Astronomia nova]]'', ''[[Harmonices Mundi]]'', and ''[[Epitome of Copernican Astronomy]]''. These works also ...r-1619-pl-3.jpg|thumb|Geometrical harmonies in the perfect solids from ''[[Harmonices Mundi]]'' (1619)]]Johannes Kepler (12,092 words) [view diff] no match in snippet view article find links to article

best known for his laws of planetary motion , based on his works Astronomia nova , Harmonices Mundi , and Epitome of Copernican Astronomy .Convergence of Fourier series (3,122 words) [view diff] no match in snippet view article find links to article...

periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics .Potential theory (1,291 words) [view diff] no match in snippet view article find links to article...

In mathematics and mathematical physics , potential theory is the study of harmonic function s. The term "potential theory" was coined inOblate spheroidal coordinates (2,941 words) [view diff] no match in snippet view article find links to article...

Oblate spheroidal harmonics : : See also Oblate spheroidal wave function . coordinates and spherical harmonics , Laplace's equation may bePredators and Prey (1,579 words) [view diff] no match in snippet view article find links to article...

Harmonic Divergence (Issue 21): In California, paparazzi witness Harmony Kendall drinking blood from a celebrity's neck outside a hot spotPerfect fifth (2,283 words) [view diff] no match in snippet view article find links to article...

...ies (music)|harmonic series]] as the interval between the second and third harmonics. In a diatonic scale, the [[dominant (music)|dominant]] note is a perfect ...term is interpreted as "highly consonant". However, when using correct [[enharmonic]] spelling, the wolf fifth in Pythagorean tuning or meantone temperament isList of prime numbers (7,040 words) [view diff] no match in snippet view article find links to article

=== Harmonic primes === ...' ≤ ''p''−2, where ''H''{{sub|''k''}} denotes the ''k''-th [[harmonic number]] and ''ω''{{sub|''p''}} denotes the [[Wolstenholme quotient]].<refList of prime numbers (6,367 words) [view diff] no match in snippet view article find links to article

Harmonic primes: and H k ≡ −ω p (mod p) for 1 ≤ k ≤ p−2, where H k denotes the k-th harmonic number and ω p denotes the Wolstenholme quotientSubtractive synthesis (716 words) [view diff] no match in snippet view article find links to article...

Subtractive synthesis is a method of sound synthesis in which partials of an audio signal (often one rich in harmonics ) are attenuatedPontryagin duality (4,170 words) [view diff] no match in snippet view article find links to article...

In mathematics, specifically in harmonic analysis and the theory of topological group s, Pontryagin duality explains the generalDivergence of the sum of the reciprocals of the primes (1,568 words) [view diff] no match in snippet view article find links to article...

The harmonic series: First, we describe how Euler originally discovered the result. He was considering the harmonic series : \ sum_n 1^\Wiretap Scars (304 words) [view diff] no match in snippet view article find links to article...

Track listing ": "Echodyne Harmonic" – 3:57 " "Assemble the Empire" – 3:02 Bonus Tracks ": "Vacant Skies" – (UK/Japan Bonus Track) - 3:55 "Uncertainty principle (12,562 words) [view diff] no match in snippet view article find links to article...

Quantum harmonic oscillator stationary states: Quantum harmonic oscillator | Stationary state Consider a one-dimensional quantum harmonicMaximum principle (614 words) [view diff] no match in snippet view article find links to article...

Harmonic functions are the classical example to which the strong maximum principle applies. Formally, if f is a harmonic function , thenRichter tuning (1,197 words) [view diff] no match in snippet view article find links to article...

Harmonic minor tuning: Harmonic minor tuning is a variation in which E is replaced by E music | flat and A is replaced by A music | flatPower conditioner (1,174 words) [view diff] no match in snippet view article find links to article...

Variations in the wave shape – usually described as harmonics. Nonzero low-frequency impedance (when a load draws more power, the voltageDirac operator (722 words) [view diff] no match in snippet view article find links to article...

Solutions to the Dirac equation for spinor fields are often called harmonic spinors http://eom. springer. de/S/s086780. htm. Example 3: TheParabolic cylindrical coordinates (984 words) [view diff] no match in snippet view article find links to article...

Parabolic cylinder harmonics : Since all of the surfaces of constant σ, τ and z are conicoid, Laplace's equation is separable in parabolicTHD analyzer (504 words) [view diff] no match in snippet view article find links to article...

Total Harmonic Distortion (THD) Analyzers calculate the total harmonic content of a sinewave with some distortion , expressed as totalThe Legend of Korra (Book 2) (5,577 words) [view diff] no match in snippet view article find links to article...

"Harmonic Convergence", Nicholson praised its spectacular action sequences, fleshing out more on Unalaq's intriguing evil purpose, theConsonance and dissonance (4,923 words) [view diff] no match in snippet view article find links to article...

By generalizing Helmholtz's notion of consonance (described above as the "coincidence of partials") to embrace non-harmonic timbres andMinor seventh (562 words) [view diff] no match in snippet view article find links to article...

An interval close in frequency is the harmonic seventh See also : Minor seventh chord Musical tuning List of meantone intervalsChord (music) (6,632 words) [view diff] no match in snippet view article find links to article...

A chord, in music , is any harmonic set of three or more notes that is heard as if sounding simultaneously These need not actually bePerfect fourth (2,917 words) [view diff] no match in snippet view article find links to article...

...ies (music)|harmonic series]] as the interval between the third and fourth harmonics. ...43.pdf |format=PDF |title=Composing in the Flesh: Perceptually-Informed Harmonic Syntax |accessdate=2006-09-05 |archiveurl = http://web.archive.org/web/200Perfect fourth (2,580 words) [view diff] no match in snippet view article find links to article

The perfect fourth may be derived from the harmonic series as the interval between the third and fourth harmonics. The term perfectMajor seventh (880 words) [view diff] no match in snippet view article find links to article...

Image:Major seventh on C.png | Play main_interval_name major seventh | inverse minor second | other_names supermajor seventh | abbreviationList of pitch intervals (7,265 words) [view diff] no match in snippet view article find links to article...

For commonly encountered harmonic or melodic intervals between pairs of note s in contemporary Western music theory which are independentProjective range (398 words) [view diff] no match in snippet view article find links to article...

A projective range expresses projective invariance of the relation of projective harmonic conjugate s. Indeed, three points on aDiatessaron (2,388 words) [view diff] no match in snippet view article find links to article...

the musical interval | perfect fourth Image:ArabicDiatessaron. jpg | Arabic Diatessaron, Translated by Abul Faraj Al Tayyeb from Syriac toMajor sixth (815 words) [view diff] no match in snippet view article find links to article...

...of New Music'', Vol. 29, No. 2 (Summer, 1991), pp. 106-137.</ref> or 27th harmonic, is 27:16 or 906 cents,<ref name="Helmholtz"/> constructed from three justMajor sixth (815 words) [view diff] no match in snippet view article find links to article

...of New Music'', Vol. 29, No. 2 (Summer, 1991), pp. 106-137.</ref> or 27th harmonic, is 27:16 or 906 cents,<ref name="Helmholtz"/> constructed from three justPlancherel theorem (343 words) [view diff] no match in snippet view article find links to article

In mathematics , the Plancherel theorem is a result in harmonic analysis , proven by Michel Plancherel in 1910. It states that theQuantum mechanics (11,218 words) [view diff] no match in snippet view article find links to article...

For instance, the well-known model of the quantum harmonic oscillator uses an explicitly non-relativistic expression for the kineticPeter–Weyl theorem (1,424 words) [view diff] no match in snippet view article find links to article...

In mathematics , the Peter–Weyl theorem is a basic result in the theory of harmonic analysis , applying to topological group s that are...