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Harmonic (1,027 words) [view diff] no match in snippet view article find links to article
components of periodic signals. For other uses, see Harmonic (disambiguation). A harmonic of a wave is a component frequency of the signal that
Harmonic oscillator (2,674 words) [view diff] no match in snippet view article find links to article
harmonic oscillator in classical mechanics. For its uses in quantum mechanics, see quantum harmonic oscillator. In classical mechanics, a harmonic oscillator
Harmonic spectrum (72 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 fundamental frequency; such
Simple harmonic motion (1,143 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 the displacement. It
Harmonic mean (2,211 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 is appropriate for situations
Harmonic series (music) (1,932 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. Pitched musical instruments are often based on an approximate harmonic oscillator
Harmonic divisor number (648 words) [view diff] no match in snippet view article find links to article
article is about harmonic divisor numbers. For meanings of harmonic number, see harmonic number (disambiguation). In mathematics, a harmonic divisor number
Harmonic function (2,078 words) [view diff] no match in snippet view article find links to article
This article is about harmonic functions in mathematics. For harmonic function in music, see diatonic functionality. In mathematics, mathematical
Harmonic number (1,397 words) [view diff] no match in snippet view article find links to article
The term harmonic number has multiple meanings. For other meanings, see harmonic number (disambiguation). In mathematics, the n-th harmonic number
Harmonic series (mathematics) (1,892 words) [view diff] no match in snippet view article find links to article
In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths
Quantum harmonic oscillator (2,673 words) [view diff] no match in snippet view article find links to article
the Houston area. The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary potential
Minor scale (1,932 words) [view diff] no match in snippet view article find links to article
fifth (seven semitones) above the first. This includes the natural minor, harmonic minor, and melodic minor scales. A minor scale differs from a major scale
Harmonic seventh (776 words) [view diff] no match in snippet view article find links to article
The harmonic seventh interval  play (help·info), also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969
Double harmonic scale (767 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 the Arabic and the Byzantine
Artificial harmonic (289 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 hand (thereby shortening
List of harmonic analysis topics (205 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 are more directed towards
Harmonic rhythm (338 words) [view diff] no match in snippet view article find links to article
harmonizations of "Yankee Doodle" In music theory, harmonic rhythm, also known as harmonic tempo is the rate at which the chords change (or progress)
Weakly harmonic function (85 words) [view diff] no match in snippet view article find links to article
In mathematics, a function is weakly harmonic in a domain if for all with compact support in and continuous second derivatives, where Δ is the Laplacian
Fundamental frequency (683 words) [view diff] no match in snippet view article find links to article
abbreviate it as f1, the first harmonic. (The second harmonic is then f2 = 2⋅f1, etc. In this context, the zeroth harmonic would be 0 Hz.) All sinusoidal
Leibniz harmonic triangle (314 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 reciprocals of the row numbers and
Harmonic conjugate (709 words) [view diff] no match in snippet view article find links to article
For geometric conjugate points, see Projective harmonic conjugates. In mathematics, a function defined on some jat domain is said to have as a conjugate
Geometric–harmonic mean (338 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 numbers x and y is defined as follows: we form the geometric mean of g0 = x and
Harmonic Scale (244 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 harmonic ( Play (help·info)), and free
Harmonic major scale (796 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 now occasionally employed
Harmonic (mathematics) (115 words) [view diff] no match in snippet view article find links to article
concepts. Harmonic analysis Harmonic division Harmonic function Harmonic number Harmonic series Harmonic form Harmonic mean Harmonic mode Harmonic tremor
Lamé function (278 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 differential equation. It
Second-harmonic generation (2,088 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 photons with the same frequency
Harmonic Vector Excitation Coding (696 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) standard for very low bit
Tap harmonic (74 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 wire most commonly at
Harmonic drive (1,038 words) [view diff] no match in snippet view article find links to article
Harmonic Drive is a strain wave gear that can improve certain characteristics compared to traditional gearing systems. Harmonic Drive is trademarked by
Harmonic differential (394 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 as ω*, are both closed
Harmonic coordinate condition (508 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 the Einstein field equations
Guitar harmonics (978 words) [view diff] no match in snippet view article find links to article
guitar harmonic is a musical note played by preventing or amplifying vibration of certain overtones of a guitar string. Music using harmonics can contain
Harmonic coordinates (478 words) [view diff] no match in snippet view article find links to article
mathematics, harmonic coordinates are a coordinate system (x1,...,xn) on a Riemannian manifold each of whose coordinate functions xi is harmonic, meaning
Harmonic seventh chord (888 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 is somewhat narrower
Projective harmonic conjugate (1,122 words) [view diff] no match in snippet view article find links to article
In projective geometry, the harmonic conjugate point of an ordered triple of points on the real projective line is defined by the following construction:
Parallel harmony (264 words) [view diff] no match in snippet view article find links to article
Diaphonia (genus). In music, parallel harmony, also known as harmonic parallelism, harmonic planing or parallel voice leading, is the parallel movement
The Soul Harmonic (68 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 released on November 22
Harmonic tremor (256 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 or accompanies a volcanic
Potential theory (1,295 words) [view diff] no match in snippet view article find links to article
mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics
Second-harmonic imaging microscopy (948 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). SHIM has been established as
Harmony (4,184 words) [view diff] no match in snippet view article find links to article
or from the point of view of musical texture (distinguishing between "harmonic" (simultaneously sounding pitches) and "contrapuntal" (successively sounding
Geometric mean (2,385 words) [view diff] no match in snippet view article find links to article
arithmetic mean and the harmonic mean. For all positive data sets containing at least one pair of unequal values, the harmonic mean is always the least
Nonlinear optics (3,215 words) [view diff] no match in snippet view article find links to article
holds. Nonlinear optics remained unexplored until the discovery of Second harmonic generation shortly after demonstration of the first laser. (Peter Franken
Pinch harmonic (1,012 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 to achieve artificial harmonics in which the player's
Optical frequency multiplier (297 words) [view diff] no match in snippet view article find links to article
harmonic generation (SHG, also called frequency doubling), or sum frequency generation which sums two non-similar frequencies. Direct third harmonic generation
Triad (music) (916 words) [view diff] no match in snippet view article find links to article
triad is a set of three notes that can be stacked in thirds. The term "harmonic triad" was coined by Johannes Lippius in his "Synopsis musicae novae" (1612)
Harmonic progression (mathematics) (244 words) [view diff] no match in snippet view article find links to article
the musical term, see Chord progression. In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals
List of chord progressions (28 words) [view diff] no match in snippet view article find links to article
The following is a list of commonly used chord progressions in music. List of musical intervals List of pitch intervals List of musical scales and modes
High harmonic generation (1,340 words) [view diff] no match in snippet view article find links to article
emit the high harmonics of the generation beam (above the fifth harmonics). Due to the coherent nature of the process, high harmonics generation is a
Harmonic map (938 words) [view diff] no match in snippet view article find links to article
This article is about harmonic maps between Riemannian manifolds. For harmonic functions, see harmonic function. A (smooth) map φ:M→N between Riemannian
Diatonic function (2,257 words) [view diff] no match in snippet view article find links to article
—Benward & Saker Three general and inseparable essential features of harmonic function in tonal music are: Position within a gamut (the available collection)
Harmonic Generator (94 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 live studio recordings
Minor third (821 words) [view diff] no match in snippet view article find links to article
third may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic. The minor third is commonly
Harmonic mixing (544 words) [view diff] no match in snippet view article find links to article
about music. For the electronic frequency-changing device, see harmonic mixer. Harmonic mixing or key mixing (Also referred to as mixing in key) is a DJ's
Overtone flute (263 words) [view diff] no match in snippet view article find links to article
a flute that is designed to play in the upper harmonics, typically well above the two or three harmonics that are the practical limit for most woodwind
Neutral sixth (369 words) [view diff] no match in snippet view article find links to article
sixth, and occurs infrequently in music, as little music utilizes the 13th harmonic.  play (help·info) An equal-tempered neutral sixth is 850 cents, a hair
Accompaniment (634 words) [view diff] no match in snippet view article find links to article
accompaniment part usually provides the harmonic background and the rhythmic structure for the piece of music or song. The harmonic background is usually provided
Riemannian theory (238 words) [view diff] no match in snippet view article find links to article
"dualist" system for relating triads was adapted from earlier 19th-century harmonic theorists. The term "dualism" refers to the emphasis on the inversional
Solid harmonics (494 words) [view diff] no match in snippet view article find links to article
the solid harmonics are solutions of the Laplace equation in spherical polar coordinates. There are two kinds: the regular solid harmonics , which vanish
Positive harmonic function (416 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 a finite positive measure
Harmonic Inc. (829 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 that produce, process
Overtone singing (2,228 words) [view diff] no match in snippet view article find links to article
Overtone singing, also known as overtone chanting, harmonic singing or throat singing, is a type of singing in which the singer manipulates the resonances
Major sixth (599 words) [view diff] no match in snippet view article find links to article
or supermajor sixth of 933 cents. The Pythagorean major sixth, or 27th harmonic, is 27:16 or 906 cents, constructed from three just perfect fifths (C-A
Harmonic polynomial (148 words) [view diff] no match in snippet view article find links to article
polynomial over a field whose Laplacian is zero is termed a harmonic polynomial. The harmonic polynomials form a vector subspace of the vector space of
Spherical harmonics (4,684 words) [view diff] no match in snippet view article find links to article
other uses, see YLM (disambiguation). In mathematics, spherical harmonics are the angular portion of a set of solutions to Laplace's equation. Represented
Noncommutative harmonic analysis (431 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 groups which are not commutative
Projective range (389 words) [view diff] no match in snippet view article find links to article
quadruple results in four points likewise in the harmonic relation. Such a quadruple of points is termed a harmonic range. In 1940 Julian Coolidge described this
Paul Erlich (301 words) [view diff] no match in snippet view article find links to article
Bachelor of Science degree in physics from Yale University. His invention of harmonic entropy has received significant attention from music theorists such as
Minor diatonic semitone (59 words) [view diff] no match in snippet view article find links to article
minor diatonic semitone is a ratio of 17:16, making it the seventeenth harmonic or partial. Major diatonic semitone Haluška, Ján (2003)
Radó's theorem (harmonic functions) (132 words) [view diff] no match in snippet view article find links to article
theorem (Ramsey theory) In mathematics, Radó's theorem is a result about harmonic functions, named after Tibor Radó. Informally, it says that any "nice looking"
Harmonic measure (1,052 words) [view diff] no match in snippet view article find links to article
mathematics, especially potential theory, harmonic measure is a concept related to the theory of harmonic functions that arises from the solution of
The City Harmonic (963 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 worship band for an inter-denominational
Zonal spherical harmonics (389 words) [view diff] no match in snippet view article find links to article
mathematical study of rotational symmetry, the zonal spherical harmonics are special spherical harmonics that are invariant under the rotation through a particular
Harmonic scalpel (352 words) [view diff] no match in snippet view article find links to article
The Harmonic scalpel is a surgical instrument used to simultaneously cut and cauterize tissue. Unlike a Bovie, the harmonic uses ultrasonic vibrations
Harmonic Convergence (1,084 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 16–17, 1987, which
Van der Corput lemma (harmonic analysis) (183 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 integrals named after the Dutch mathematician
C minor (323 words) [view diff] no match in snippet view article find links to article
pitches C, D, E♭, F, G, A♭, and B♭. The harmonic minor raises the B♭ to B♮. Changes needed for the melodic and harmonic versions of the scale are written in
Hungarian minor scale (688 words) [view diff] no match in snippet view article find links to article
scale, Double Harmonic minor scale, or Gypsy minor scale, is a type of combined musical scale. It is the fourth mode of the double harmonic scale. It is
Hodge theory (853 words) [view diff] no match in snippet view article find links to article
canonically isomorphic to the space of harmonic sections, , in the sense that each cohomology class has a unique harmonic representative. Main article: Hodge
Dirac operator (567 words) [view diff] no match in snippet view article find links to article
algebra. Solutions to the Dirac equation for spinor fields are often called harmonic spinors[1]. Example 3: The most famous Dirac operator describes the propagation
Harmonic wavelet transform (436 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-based linear transformation
Nonchord tone (1,624 words) [view diff] no match in snippet view article find links to article
note in a piece of music that is not part of the implied chord within the harmonic framework. Similarly, a chord tone is a note that is a part of the functional
Diphthong (4,655 words) [view diff] no match in snippet view article find links to article
rare type of diphthong that is neither opening nor closing is height-harmonic diphthongs, with both elements at the same vowel height. These occurred
Harmonic Tremors (95 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. The Blessing – 5:36 Kill and Crush – 3:26 Levitate – 3:00 Soon to
Harmonics (electrical power) (1,078 words) [view diff] no match in snippet view article find links to article
Harmonic voltages and currents in an electric power system are a result of non-linear electric loads. Harmonic frequencies in the power grid are a frequent
Maximum principle (525 words) [view diff] no match in snippet view article find links to article
the boundary. Harmonic functions are the classical example to which the strong maximum principle applies. Formally, if f is a harmonic function, then
Riemann–Lebesgue lemma (344 words) [view diff] no match in snippet view article find links to article
named after Bernhard Riemann and Henri Lebesgue, is of importance in harmonic analysis and asymptotic analysis. The lemma says that the Fourier transform
Chord substitution (1,426 words) [view diff] no match in snippet view article find links to article
variety and add interest to a piece. The substitute chord must have some harmonic quality and degree of function in common with the original chord, and often
Laplace's equation (2,049 words) [view diff] no match in snippet view article find links to article
known as potential theory. The solutions of Laplace's equation are the harmonic functions, which are important in many fields of science, notably the fields
Gypsy scale (119 words) [view diff] no match in snippet view article find links to article
minor scale with raised fourth and seventh degrees, also called double harmonic minor scale. Minor gypsy scale, minor scale with raised fourth but natural
Oscillation (885 words) [view diff] no match in snippet view article find links to article
swelling of Cepheid variable stars in astronomy. Main article: Simple harmonic motion The simplest mechanical oscillating system is a mass attached to
Wolstenholme number (65 words) [view diff] no match in snippet view article find links to article
Wolstenholme number is a number that is the numerator of the generalized harmonic number Hn,2. The first such numbers are 1, 5, 49, 205, 5269, 5369, 266681
Distortionmeter (191 words) [view diff] no match in snippet view article find links to article
circuit. Harmonic distortion is equivalent to adding harmonics to a signal. When a purely sinusoidal signal is distorted, a series of harmonics is superimposed
Augmented second (387 words) [view diff] no match in snippet view article find links to article
seconds). In harmonic minor scales, the augmented second occurs between the sixth and seventh scale degrees. For example, in the scale of A harmonic minor,
Complex harmonic motion (1,083 words) [view diff] no match in snippet view article find links to article
harmonic motion is a complicated realm based on the simple harmonic motion. The word "complex" refers to different situations. Unlike simple harmonic
Time-domain harmonic scaling (221 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 of speech articulation
List of pitch intervals (850 words) [view diff] no match in snippet view article find links to article
subdivisions of the octave or of other intervals. For commonly encountered harmonic or melodic intervals between pairs of notes in contemporary Western music
Damping (1,950 words) [view diff] no match in snippet view article find links to article
about damped harmonic oscillators. For detailed mathematical description of the harmonic oscillator including forcing and damping, see Harmonic oscillator
Harmonic division (163 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 points C and D such that AB is divided internally and externally in the same
Exciter (effect) (549 words) [view diff] no match in snippet view article find links to article
For other uses, see Exciter (disambiguation). An exciter (also called a harmonic exciter or aural exciter) is an audio signal processing technique used
Bôcher's theorem (187 words) [view diff] no match in snippet view article find links to article
contain all the critical points of . In harmonic analysis, Bôcher's theorem states that a positive harmonic function in punctured domain (an open domain
Average (1,697 words) [view diff] no match in snippet view article find links to article
was 40 km/h, then the harmonic mean speed is given by A well known inequality concerning arithmetic, geometric, and harmonic means for any set of positive
Modal frame (579 words) [view diff] no match in snippet view article find links to article
important tones in a non-harmonic way melodic triad arpeggiated triads which appear in a melody but not in the harmony. A non-harmonic arpeggio is an arpeggio
Time Remembered (129 words) [view diff] no match in snippet view article find links to article
For Bill Evans album, see Time Remembered (album). Time Remembered is a musical piece by jazz pianist Bill Evans. Jack Reilly says that the work is both
Harnack's principle (129 words) [view diff] no match in snippet view article find links to article
convergence of sequences of harmonic functions, that follow from Harnack's inequality. If the functions , , ... are harmonic in an open connected subset
G minor (545 words) [view diff] no match in snippet view article find links to article
based on G, consisting of the pitches G, A, B♭, C, D, E♭, and F. For the harmonic minor scale, the F is raised to F♯. Its relative major is B-flat major
Major seventh (735 words) [view diff] no match in snippet view article find links to article
quarter tone (½) chromatic semitone (⅔) diatonic semitone (1⅙) whole tone (2⅓) subminor third (2⅔) supermajor third (4⅓) harmonic (subminor) seventh (9⅔)
Contrafact (448 words) [view diff] no match in snippet view article find links to article
musical composition consisting of a new melody overlaid on a familiar harmonic structure. Contrafact can also be explained as the use of borrowed chord
De Bruijn's theorem (866 words) [view diff] no match in snippet view article find links to article
results is now known as de Bruijn's theorem. According to this theorem, a "harmonic brick" (one in which each side length is a multiple of the next smaller
Pluriharmonic function (949 words) [view diff] no match in snippet view article find links to article
several complex variables. Sometimes a such function is referred as n-harmonic function, where n ≥ 2 is the dimension of the complex domain where the
Additive synthesis (3,688 words) [view diff] no match in snippet view article find links to article
can be considered in the light of Fourier theory to consist of multiple harmonic or inharmonic partials or overtones. Each partial is a sine wave of different
Acoustic telegraphy (443 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, inventors developed methods of multiplexing (transmitting more
Septimal minor third (756 words) [view diff] no match in snippet view article find links to article
( Play (help·info)). The septimal minor third may be derived in the harmonic series from the seventh harmonic, and as such is in inharmonic ratios with all notes in
Plancherel theorem (275 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 the integral of a function's
Kepler's laws of planetary motion (4,978 words) [view diff] no match in snippet view article find links to article
geometric mean between rmin and rmax: The semi-latus rectum p is the harmonic mean between rmin and rmax: The eccentricity ε is the coefficient of
Harmonic mixer (550 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. The ordinary mixer
Capacity of a set (964 words) [view diff] no match in snippet view article find links to article
energy is computed with respect to an idealized ground at infinity for the harmonic or Newtonian capacity, and with respect to a surface for the condenser
Phrygian dominant scale (537 words) [view diff] no match in snippet view article find links to article
is the fifth mode of the harmonic minor scale, the fifth being the dominant. Also called the altered Phrygian scale, harmonic minor perfect fifth below
Phänomene (80 words) [view diff] no match in snippet view article find links to article
reflect the composer's fascination for avant-garde orchestrations and harmonic styles of Hector Berlioz and Richard Wagner. "STRAUSS II, J.: Edition
Bebop (3,016 words) [view diff] no match in snippet view article find links to article
instrumental virtuosity, and improvisation based on the combination of harmonic structure and sometimes references to the melody. It was developed in the
Spherical Harmonic (812 words) [view diff] no match in snippet view article find links to article
For the mathematical functions, see Spherical harmonics. Spherical Harmonic is a science fiction novel from the Saga of the Skolian Empire by Catherine
Potential (219 words) [view diff] no match in snippet view article find links to article
mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds. This mathematical formulation arises from the fact
Minor seventh (459 words) [view diff] no match in snippet view article find links to article
minor seventh" ( Play (help·info)). An interval close in frequency is the harmonic seventh. Minor seventh chord Musical tuning List of meantone intervals
Anharmonicity (968 words) [view diff] no match in snippet view article find links to article
deviation of a system from being a harmonic oscillator. An oscillator that is not oscillating in simple harmonic motion is known as an anharmonic oscillator
Harmonic balance (600 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 to electrical circuits
Tuned mass damper (1,962 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 vibrations. Their application
Trombone (7,340 words) [view diff] no match in snippet view article find links to article
different partial in the harmonic series. In the first position (also called closed position) on a B♭ trombone, the notes in the harmonic series begin with B♭2
Chord progression (2,982 words) [view diff] no match in snippet view article find links to article
A chord progression (or harmonic progression) is a series of musical chords, or chord changes that "aims for a definite goal" of establishing (or contradicting)
Overtone (1,532 words) [view diff] no match in snippet view article find links to article
fundamental and the overtones together are called partials. Harmonics, or more precisely, harmonic partials, are partials whose frequencies are integer multiples
List of musical scales and modes (66 words) [view diff] no match in snippet view article find links to article
tone Harmonic major scale Harmonic major scale on C.  Play (help·info) 1 2 3 4 5 ♭6 7 7 major harmonic Harmonic minor scale Harmonic minor
Pedal tone (301 words) [view diff] no match in snippet view article find links to article
are special notes in the harmonic series of cylindrical-bore brass instruments. A pedal tone has the pitch of its harmonic series' fundamental tone.
Simultaneity (music) (216 words) [view diff] no match in snippet view article find links to article
a more general term than chord progression or harmonic progression: most chord progressions or harmonic progressions are then simultaneity successions
Septimal whole tone (321 words) [view diff] no match in snippet view article find links to article
septimal whole tone may be derived from the harmonic series as the interval between the seventh and eighth harmonics and the term septimal refers to the fact
List of Fourier analysis topics (219 words) [view diff] no match in snippet view article find links to article
topics. See also the list of Fourier-related transforms, and the list of harmonic analysis topics. Multiplier (Fourier analysis) Fourier shell correlation
David Hykes (492 words) [view diff] no match in snippet view article find links to article
a comprehensive approach to contemplative music which he calls Harmonic Chant (harmonic singing). After early research and trips studying Mongolian, Tibetan
Just intonation (4,810 words) [view diff] no match in snippet view article find links to article
just interval. The two notes in any just interval are members of the same harmonic series. Frequency ratios involving large integers such as 1024:927 are
Harnack's inequality (673 words) [view diff] no match in snippet view article find links to article
Harnack's inequality is an inequality relating the values of a positive harmonic function at two points, introduced by A. Harnack (1887). J. Serrin (1955)
Witold Lutosławski (5,550 words) [view diff] no match in snippet view article find links to article
Five songs of 1956–57, saw the significant development of Lutosławski's harmonic and contrapuntal thinking as he introduced his twelve-note system, the
C-sharp minor (608 words) [view diff] no match in snippet view article find links to article
based on C♯, with the pitches C♯, D♯, E, F♯, G♯, A, and B. For the C-sharp harmonic minor, the B is raised to B♯. Its key signature consists of four sharps
Witold Lutosławski (5,550 words) [view diff] no match in snippet view article find links to article
Five songs of 1956–57, saw the significant development of Lutosławski's harmonic and contrapuntal thinking as he introduced his twelve-note system, the
Dirichlet's principle (198 words) [view diff] no match in snippet view article find links to article
Not to be confused with Pigeonhole principle. In mathematics, and particularly in potential theory, Dirichlet's principle is the assumption that the minimizer
Cadence (music) (2,919 words) [view diff] no match in snippet view article find links to article
"a falling") is, "a melodic or harmonic configuration that creates a sense of resolution [finality or pause]." A harmonic cadence is a progression of (at
Tritone (4,640 words) [view diff] no match in snippet view article find links to article
semidiapente, or semitritonus). In classical music, the tritone is a harmonic and melodic dissonance and is important in the study of musical harmony
Poisson kernel (926 words) [view diff] no match in snippet view article find links to article
f a function on T that lies in L1(T), then the function u given by is harmonic in D and has a radial limit that agrees with f almost everywhere on the
Lipps–Meyer law (341 words) [view diff] no match in snippet view article find links to article
approximation to a lower, stronger, or higher, weaker, position in the harmonic series. The reason for the effect of finality of such interval ratios may
A-sharp minor (240 words) [view diff] no match in snippet view article find links to article
The A♯ minor scale has pitches A♯, B♯, C♯, D♯, E♯, F♯, and G♯. For the harmonic minor scale, G is used instead of G♯. Its key signature has seven sharps
Rhythm guitar (2,348 words) [view diff] no match in snippet view article find links to article
element in a polyrhythm). Likewise, rhythm guitar can supply all of the harmonic input to a singer-guitarist or small band, but in ensembles that have other
Sundaram Thangavelu (271 words) [view diff] no match in snippet view article find links to article
Thangavelu) (born 1957) is an Indian mathematician who specialised in harmonic analysis. He is a professor in the Department of Mathematics of Indian
Nottingham Harmonic Society (159 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.[citation needed]
Harmonic Disorder (405 words) [view diff] no match in snippet view article find links to article
Harmonic Disorder is an album by American jazz pianist Matthew Shipp recorded in 2008 and released on Thirsty Ear's Blue Series. It was the second recording
Bebop scale (778 words) [view diff] no match in snippet view article find links to article
derived from the modes of the major scale, the melodic minor scale, and the harmonic minor scale. David Baker, one of the world's finest jazz educators, named
Scale of harmonics (654 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 harmonics existing on a string.[citation needed] This musical scale
Consonance and dissonance (5,437 words) [view diff] no match in snippet view article find links to article
consonance being a greater coincidence of partials (called harmonics or overtones when occurring in harmonic timbres) (Helmholtz 1954 [1877],[page needed]). By
Harmonic table note layout (591 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 the traditional keyboard
Conformational change (311 words) [view diff] no match in snippet view article find links to article
second-harmonic generation (SHG) has been recently applied to the study of conformational change in proteins. In this method, a second-harmonic-active
A minor (366 words) [view diff] no match in snippet view article find links to article
scale based on A, consisting of the pitches A, B, C, D, E, F, and G. The harmonic minor scale raises the G to G♯. Its key signature has no flats or sharps
Supertonic (554 words) [view diff] no match in snippet view article find links to article
fifth above chord V. Descending fifths are a strong basis for harmonic motion and harmonic motion through intervals of fifths is a natural way for chords
Arithmetic combinatorics (751 words) [view diff] no match in snippet view article find links to article
in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis. Arithmetic combinatorics is about combinatorial estimates associated
Uncertainty principle (7,594 words) [view diff] no match in snippet view article find links to article
parameter Main articles: Quantum harmonic oscillator and Stationary state Consider a one-dimensional quantum harmonic oscillator (QHO). It is possible
E-flat minor (491 words) [view diff] no match in snippet view article find links to article
scale consisting of the pitches E♭, F, G♭, A♭, B♭, C♭, and D♭. In the harmonic minor, the D♭ is raised to D♮. Its key signature consists of six flats
Spurious emission (97 words) [view diff] no match in snippet view article find links to article
especially in a device which normally does create other frequencies. A harmonic or other signal outside a transmitter's assigned channel would be considered
Hungarian gypsy scale (419 words) [view diff] no match in snippet view article find links to article
called Hungarian minor scale or double harmonic minor scale, can be found by sharpening the 4th degree of the harmonic minor scale to introduce an additional
Heavy metal music (13,466 words) [view diff] no match in snippet view article find links to article
fretboard. Heavy metal is usually based on riffs created with three main harmonic traits: modal scale progressions, tritone and chromatic progressions, and
Unified field (305 words) [view diff] no match in snippet view article find links to article
'unity of musical space' created by the free use of melodic material as harmonic material and vice-versa. The technique is most associated with the twelve-tone
De Rham cohomology (1,606 words) [view diff] no match in snippet view article find links to article
of harmonic forms and the de Rham cohomology consisting of closed forms modulo exact forms. This relies on an appropriate definition of harmonic forms
Singing bowl (738 words) [view diff] no match in snippet view article find links to article
by a fundamental frequency (first harmonic) and usually two audible harmonic overtones (second and third harmonic).[citation needed] Singing bowls are
Creation and annihilation operators (1,553 words) [view diff] no match in snippet view article find links to article
widespread applications in quantum mechanics, notably in the study of quantum harmonic oscillators and many-particle systems. An annihilation operator lowers
Wiretap Scars (216 words) [view diff] no match in snippet view article find links to article
Tarot" – 5:13 "Echodyne Harmonic" – 3:57 "Assemble the Empire" – 3:02 "Vacant Skies" – (UK/Japan Bonus Track) - 3:55 "Echodyne Harmonic (de-mix)" (Japan Bonus
Texture (music) (629 words) [view diff] no match in snippet view article find links to article
In music, texture is the way the melodic, rhythmic, and harmonic materials are combined in a composition, thus determining the overall quality of the sound
100000 (number) (972 words) [view diff] no match in snippet view article find links to article
totient number 166320 – highly composite number 167400 – harmonic divisor number 173600 – harmonic divisor number 174680 – Keith number 174763 – Wagstaff
B minor (470 words) [view diff] no match in snippet view article find links to article
signature consists of two sharps. The harmonic minor raises the note A to A♯. Changes needed for the melodic and harmonic versions of the scale are written
Interval (music) (7,920 words) [view diff] no match in snippet view article find links to article
sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. In
Elias M. Stein (865 words) [view diff] no match in snippet view article find links to article
January 13, 1931) is a mathematician and a leading figure in the field of harmonic analysis. He is a professor emeritus of Mathematics at Princeton University
Persian scale (190 words) [view diff] no match in snippet view article find links to article
frequent use of chromaticism. Compare this to the one augmented second of the harmonic minor or the use of only two half-steps in all diatonic scales. The sequence
Norbert Wiener Center for Harmonic Analysis and Applications (326 words) [view diff] no match in snippet view article find links to article
division is being considered for merging. › The Norbert Wiener Center for Harmonic Analysis and Applications (NWC) is a division of the Mathematics Department
Diminished fourth (283 words) [view diff] no match in snippet view article find links to article
third; but if the same pitches are spelled B and E♭, as occurs in the C harmonic minor scale, the interval is instead a diminished fourth. In other tunings
Modal jazz (1,359 words) [view diff] no match in snippet view article find links to article
jazz is jazz that uses musical modes rather than chord progressions as a harmonic framework. Originating in the late 1950s and 1960s, modal jazz is epitomized
Harish-Chandra's Ξ function (138 words) [view diff] no match in snippet view article find links to article
In mathematical harmonic analysis, Harish-Chandra's Ξ function is a special spherical function on a semisimple Lie group, studied by Harish-Chandra (1966
Normal mode (2,041 words) [view diff] no match in snippet view article find links to article
of vibrating instruments (strings, air pipes, drums, etc.) are called "harmonics" or "overtones". The most general motion of a system is a superposition
Synthetic chord (356 words) [view diff] no match in snippet view article find links to article
In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord (collection of pitches) which cannot be analyzed
Musical acoustics (1,537 words) [view diff] no match in snippet view article find links to article
the harmonic series. Overtones which are perfect integer multiples of the fundamental are called harmonics. When an overtone is near to being harmonic, but
Quarter tone (2,164 words) [view diff] no match in snippet view article find links to article
tuba) (though, as with woodwinds, embouchure manipulation, as well as harmonic tones that fall closer to quarter-tones than half-tones, make quarter-tone
HVDC converter station (1,191 words) [view diff] no match in snippet view article find links to article
transformers capacitors or synchronous condensers for reactive power filters for harmonic suppression, and direct current switch gear. Main article: HVDC converter
Dominant (music) (1,279 words) [view diff] no match in snippet view article find links to article
requires the tonic for resolution. In very much conventionally tonal music, harmonic analysis will reveal a broad prevalence of the primary (often triadic)
Quasi-harmonic approximation (490 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 as the thermal
Mediant (525 words) [view diff] no match in snippet view article find links to article
mediant occurs as a major chord, noted with the Roman numeral III. In harmonic minor scales and ascending melodic minor scales, the seventh scale degree
Pitch space (1,012 words) [view diff] no match in snippet view article find links to article
Oxford: Oxford University Press. ISBN 0-19-505834-8. Mathieu, W. A. (1997). Harmonic Experience: Tonal Harmony from Its Natural Origins to Its Modern Expression
Riesz transform (651 words) [view diff] no match in snippet view article find links to article
In the mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension
Vibrational partition function (157 words) [view diff] no match in snippet view article find links to article
normal modes of the system are considered to be a set of uncoupled quantum harmonic oscillators. It is a first order approximation to the partition function