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Topic: Harmonic

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  Harmonic - Wikipedia, the free encyclopedia
In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency.
For a sine wave, it is an integer multiple of the frequency of the wave.
Harmonics may be used as the basis of just intonation systems or considered as the basis of all just intonation systems.
en.wikipedia.org /wiki/Harmonic   (524 words)

 Harmonic analysis - Wikipedia, the free encyclopedia
Harmonic analysis is the branch of mathematics which studies the representation of functions or signals as the superposition of basic waves.
Harmonic analysis studies the properties of that duality and Fourier transform; and attempts to extend those features to different settings, for instance to the case of non-abelian Lie groups.
Harmonic analysis on tube domains is concerned with generalizing properties of Hardy spaces to higher dimensions.
en.wikipedia.org /wiki/Harmonic_analysis   (583 words)

 Harmonic Resonance   (Site not responding. Last check: 2007-10-22)
Harmonic resonance is shown to exhibit these same properties not as specialized circuits to account for those properties individually, but as natural properties of the resonance itself.
B: This chemical harmonic resonance has been identified as the mechanism behind the formation of patterns in animal skins, as well as for the periodicity in the vertibrae of vertibrates, the bilateral symmetry of the body plan, as well as the periodicity of the bones in the limbs and fingers.
The harmonic resonance theory offers a possible explanation for this, for if the physical stimulus, for example vibration frequency in sound, is encoded by a harmonic resonance code, every equal increment of the code would represent a jump to a higher harmonic, corresponding to a doubling of the frequency at the sensory level.
cns-alumni.bu.edu /pub/slehar/webstuff/hr/hr.html   (10601 words)

 Harmonic Series
Notice that the fourth harmonic is also twice the frequency of the second harmonic, and the sixth harmonic is also twice the frequency of the third harmonic.
The fifth and tenth harmonics; the sixth and twelfth harmonics; the seventh and fourteenth harmonics; and the eighth and sixteenth harmonics
The thinner, quieter sound of the harmonics is caused by the fact that much of the harmonic series is missing from the sound, which will of course be heard in the timbre.
cnx.org /content/m11118/latest   (2937 words)

 Harmonic Charts
In music, a harmonic is a pitch sounded by a string or a column of air, such as in a flute, bagpipe, or saxophone.
A harmonic horoscope is derived by multiplying the longitude of every planet by a number to arrive at the planets' new zodiacal position in that harmonic number.
Harmonics is for those who love astrology because they love the mystery of order, because they see beauty in the infinite wisdom that correlates cosmic activity with human experience.
www.newage-directory.com /harmonic.htm   (2740 words)

 Harmonic Bindings
Harmonic tendency of chord (harmonic gradient) is determined by position of chord in tonality; it is not influenced by tension (entropy) inside of chord.
Harmonic connections act similarly, if particular bindings are equal or similar (as for quality and quantity).
Harmonic skeleton of melody is a set of tones, which contribute mostly to the harmonic power.
www.sweb.cz /vladimir_ladma/english/music/articles/ifsa97.htm   (2852 words)

 Harmonic series (music)
Put another way: since the harmonic series is an arithmetic series (1f, 2f, 3f, 4f...), and the octave, or octave series, is a geometric series (f, 2×f, 4×f, 8×f...), this causes the overtone series to divide the octave into increasingly smaller parts as it ascends.
Some harmonics correspond very nearly to named pitches of the equal tempered scale; others, for example the 7th harmonic, are significantly off from the equal tempered tones.
The different harmonics are accessed by increasing the vibration of the lips against the mouthpiece, essentially by tightening the embouchure and blowing the air faster.
www.mp3.fm /Harmonic_series_(music).htm   (1073 words)

 Harmonic Inc. |  
Harmonic provides innovative, flexible and cost-effective digital headend solutions for cable systems designed to accommodate broadcast and on-demand narrowcast services.
Harmonic’s cable solutions also enable cable operators incorporating new services into existing infrastructures to use the full potential of their cable systems.
Harmonic cable solutions also support distributed architectures, where digital streams originating at the headend are distributed over a wide area network to regional headends or hubs for further customization and QAM modulation.
www.harmonicinc.com /view_csd_applications_detail.cfm?classID=55   (2148 words)

 Sonic Glossary: Harmonic   (Site not responding. Last check: 2007-10-22)
Harmonics can be difficult to perceive distinctly as single components, nevertheless they are there.
In the harmonic spectrum of the clarinet, it is the odd harmonics that predominate (i.e.
Harmonic singing is cultivated in certain Asian traditions, notably in Tibet and in the Tuva region of Mongolia.
ccnmtl.columbia.edu /services/showcase/harmonic.html   (1068 words)

 David Hykes's HARMONIC WORLD - Harmonic Chant, Healing Sounds, Harmonic singing, Overtone Singing, harmonics, meditation
The Harmonic Presence Foundation offers concerts, seminars, retreats, conservatory lectures and residencies all over the world, spreading a form of knowledge which joins the sciences at their most intangible level, where what appears as matter turns out to be pure energy.
Harmonic sound waves were part of the Big Bang and the echo of the Big Bang, the cosmic background radiation, still resounds, to the tune of some 400 million photonal vibrations per spatial volume the size of your body.
Harmonic Chant is part of a 14-billion year old tradition--the harmonic presence illuminating every nook and cranny of the cosmic space.Those subtle waves of photonal warmth, the cosmic background radiation, still radiate across the sky in every direction, in waves as wide as 2 full moons.
www.harmonicworld.com   (2115 words)

 fUSION Anomaly. Harmonics
Harmonics, series of subsidiary vibrations that accompany a primary, or fundamental, wave-motion vibration, most notably in musical instruments.
Harmonics result when the vibrating body, for example a stretched string or an enclosed air column, vibrates simultaneously as a whole and in equal parts (halves, thirds, fourths, and so on), producing wave frequencies that are in simple ratios with the fundamental frequency.
Galactic Harmonics is a grand discipline occupied with the examination of the underlying patterns and themes present in all levels of material existence.
fusionanomaly.net /harmonics.html   (909 words)

 harmonic. The Columbia Encyclopedia, Sixth Edition. 2001-05
At most the first 16 tones in such a series can be heard by the human ear; the character or timbre of a fundamental tone is determined by the number of its subsidiary tones heard and their relative intensity.
The subsidiary tones have been loosely called harmonics (as a noun), but they are properly called partials, the fundamental tone being the first partial.
Similarly harmonics are produced separately in an air column by overblowing or in brass wind instruments by the use of valves.
www.bartleby.com /65/ha/harmonic.html   (239 words)

 S&C Power Systems Services - Harmonic Studies
Harmonic studies of utility systems determine the effects of harmonic-producing devices such as furnaces, large adjustable-speed drives, static VAR compensators, and HVDC rectifiers on other equipment in the system, to determine potential resonance issues.
Harmonic studies of industrial, commercial, and institutional facilities evaluate harmonic voltage and current distortion at the point of common coupling with the utility to ensure compliance with IEEE Standard 519, and also evaluate the effectiveness of harmonic filter banks.
Harmonic studies are performed using CYME International’s Power System Analysis Framework–Harmonics or the Alternative Transients Program, which is the PC version of the Electromagnetic Transients Program.
www.sandc.com /services/PSS-AS_Harmonic.asp   (144 words)

 Harmonic Knots   (Site not responding. Last check: 2007-10-22)
The harmonic index of K, denoted d[K], is the minimum integer N such that there is an Nth degree harmonic knot of the same knot type as K. Example 2.2 For all knots, the harmonic index is greater than or equal to 1 by definition.
Corollary 2.12 The harmonic index of the 3.1 knot, the 5.1 knot, and the 8.19 are 3, 4, and 4, respectively.
The superbridge index and the harmonic index of the granny knot are 4.
www2.carthage.edu /~trautwn/hknots.html   (1142 words)

 Harmonic, Inc. - Class Action Case C-00-2306 - Securities Class Action
After the acquisition was completed, on 6/26/00, Harmonic revealed that it was in fact suffering a huge drop in revenues and exposed the problems Harmonic had been experiencing during the Class Period in attempting to grow its business.
Harmonic's stock increased significantly in 3/00 to over $150 per share but then began to decline precipitously in late 3/00 due to concerns that Harmonic would disappoint shareholders with its 1stQ 00 results and possible delays in closing the DiviCom acquisition.
Harmonic's shares were plummeting, causing enormous embarrassment to those who had endorsed the acquisition, especially UBS Warburg.
securities.stanford.edu /1014/HLIT00/20000629_o15c_002306.htm   (7562 words)

 Learn more about Harmonic oscillator in the online encyclopedia.   (Site not responding. Last check: 2007-10-22)
A harmonic oscillator is any physical system that varies above and below its mean value with a characteristic frequency, f.
See the article quantum harmonic oscillator for a discussion of the harmonic oscillator in quantum mechanics.
A simple harmonic oscillator is simply an oscillator that is neither damped nor driven.
www.onlineencyclopedia.org /h/ha/harmonic_oscillator.html   (441 words)

 HARMONIC   (Site not responding. Last check: 2007-10-22)
The harmonic components are extracted and inverted by the internal control.
This signal is used to control the power electronic amplifier which injects current into the mains to cancel the harmonic currents drawn by the load.
ACTIVE HARMONIC COMPENSATORS are designed to have high efficiency (greater than 96%) and so draw only a small amount of real power to perform their task.
www.metalect.co.nz /harmonic.htm   (268 words)

 Paul Erlich's older ideas on Harmonic Entropy
The harmonic entropy is based on the concept that the critical band represents a certain degree of uncertainty in the perception of pitch, and for any "true" interval, the auditory system will perceive a range of intervals spanning a number of simple-integer ratios.
Note that harmonic partials within the heard tones are irrelevant because the cycles here need not be sinusoidal for the counting to occur.
This means that harmonically, the brain interprets the neutral third with a variety of ratios, none of which is predominant enough to allow the brain to make a decision.
sonic-arts.org /td/erlich/entropy-erlich.htm   (1531 words)

 Untitled Document
Harmonic Chant is a universal sacred music integrating key principles common to Tibetan, Indian, Tuvan, Mongolian and European sacred chant.
David takes the harmonic series, universal to all musical sound and voices, as both the practical and symbolic starting point for the work, and the organic source in music of melody, harmony and rhythm.
Harmonic Chant is presented and practicedin harmony and respect of all wisdom traditions, especially Tibetan Buddhism and the Gurdjieff Work.
www.harmonicworld.com /HTML/calendar.htm   (1185 words)

 Harmonic singing   (Site not responding. Last check: 2007-10-22)
In this technique, the singer emphasises one high harmonic of the voice to such an extent that it is heard separately from the low pitched note being sung.
Different notes in the harmonic series may be chosen by changing the frequency of the resonance in the vocal tract that gives rise to it.
In this graph, you can see the harmonics of the voice, and you can see that the fourth and sixth harmonics appear stronger in the sound spectrum because they are near resonances of the tract.
www.phys.unsw.edu.au /~jw/xoomi.html   (888 words)

I presume you're referring to the fact that when you quantize the harmonic oscillator, the spectrum of the Hamiltonian is discrete.
In other words, if the momentum and position of a harmonic oscillator starts out at (p,q), after time t it will be (p cos t - q sin t, p sin t + q cos t), at least if the frequency of the oscillator is chosen right.
This funny extra 1/2 in the eigenvalues of the harmonic oscillator Hamiltonian can be thought of as the "zero-point energy" or "vacuum energy" due to the uncertainty principle.
math.ucr.edu /home/baez/harmonic.html   (1838 words)

 Harmonic Analysis and Wavelets
Harmonic Analysis is nowadays one of the most important branches of Mathematical Analysis.
But there are also many applications of Harmonic Analysis' concepts and tecniques: from the most classical Fourier trasform (used for decades by physicians, astronomers, engineers, geologists...) to the relatively new applications of Wavelets to signal processing.
The applications of concepts from Harmonic Analysis are important in many fields of physics, such as in the solution of differential equations, in the analysis of vibrations, images, sounds, earthquakes...
www.math.yale.edu /~mmm82/hrmwav.htm   (3161 words)

 BAIN: The Harmonic Series (Overtone Series)
For example, the series of frequencies 1000, 2000, 3000, 4000, 5000, 6000, etc., given in Hertz (Hz.), is a harmonic series; so is the series 500, 1000, 1500, 2000, 2500, 3000, etc. Notice that the difference between adjacent members of both series is constant, that is to say, the harmonics are equally-spaced.
As one ascends the series, the amplitude, or loudness of each harmonic tends to diminish, so the higher modes produce harmonics that are usually too soft for us to hear.
So that rather than perceiving the many individual harmonics of a musical tone, we ordinarily perceive an identifiable tone color, or timbre, whose pitch is associated with the fundamental of the harmonic series being experienced.
www.music.sc.edu /fs/bain/atmi02/hs/index-audio.html   (3444 words)

It is the presence and relative strengths of harmonics and partials in a
In other words, all harmonics are then partials, but not all partials are harmonics.
The plus and minus signs indicate that the 7th, 11th and 14th partials are lower than the notated pitch, and the 13th higher respectively.
www.sfu.ca /sonic-studio/handbook/Harmonic.html   (298 words)

 Harmonic - Facts, Information, and Encyclopedia Reference article
This article is about the components of sound, harmonics.
These two concepts are related, as the mathematical theory describes the vibrations of strings and air.
For the human voice see throat singing, which uses harmonics.
www.startsurfing.com /encyclopedia/h/a/r/Harmonics.html   (464 words)

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