A musical note produced by a number of vibrations which is a multiple of the number producing some other; an overtone
Harmonic means composed, played, or sung using two or more notes which sound right and pleasing together. relating to the way notes are played or sung together to give a pleasing sound
A sinusoidal quantity having a frequency that is an integral multiple (´2, ´3, etc ) of a fundamental (´1) frequency
a tone that is a component of a complex sound relating to vibrations that occur as a result of vibrations in a nearby body; "sympathetic vibration"
A single frequency component of a sound Also called "overtone," or "partial " The timbre, or tone color, of a sound may be characterized by its harmonic content A 100 Hz sound that is high in harmonic content (for example, a sawtooth wave) will have harmonics at 200 Hz, 300 Hz, 400 Hz, etc
of or relating to harmony as distinct from melody and rhythm; "subtleties of harmonic change and tonality"- Ralph Hill of or relating to the branch of acoustics that studies the composition of musical sounds; "the sound of the resonating cavity cannot be the only determinant of the harmonic response
{i} overtone, secondary tone which is higher than the primary or fundamental tone (Music)
a sine wave component of a complex sound whose frequency is a whole number multiple of the fundamental frequency
A frequency that is a multiple of the fundamental See also Distortion and Non-Linearity
Having relations or properties bearing some resemblance to those of musical consonances; said of certain numbers, ratios, proportions, points, lines, motions, and the like
A sinusoidal component of a periodic wave or quantity having a frequency that is an integral multiple of the fundamental frequency For example, a component which is twice the fundamental frequency is called the second harmonic (the fundamental is the first harmonic, which is frequently misunderstood)
an electrical frequency that is an integer multiple of the fundamental frequency; for example, if 60 Hz is the fundamental freqency, then 120 Hz is the second harmonic and 180 Hz is the third harmonic; some electronic devices, such as ballasts or power supplies, can cause harmonic distortion, directly affecting power quality
relating to vibrations that occur as a result of vibrations in a nearby body; "sympathetic vibration"
After the fundamental, which is the lowest frequency and the one that determines the pitch, the first harmonic is the octave with a ratio of 2: 1 Next is the fifth, with a ratio of 3: 2 The harmonics eventually produce all the notes of the natural scale In music, the first harmonic is the octave In physics, the first harmonic is the fundamental
A sinusoidal component of an AC voltage that is a multiple of the fundamental waveform frequency
Equally spaced in frequency; a component whose frequency is an integer multiple of the fundamental
A component of a complex tone, whose frequency is an integral multiple of the fundamental frequency of the complex The third harmonic is at the frequency 3f, where f is the fundamental frequency
relating to the accessory sounds or overtones which accompany the predominant and apparent single tone of any string or sonorous body
A sinusoidal component of a waveform that is a whole multiple of the fundamental frequency An oscillation that is an integral sub-multiple of the fundamental is called a sub-harmonic
(1) A special case of partial normally occurring in "musical" sounds, in which the frequency of the partial has a simple mathematical relationship to other partials Generally they are all integer multiples of a particular fundamental frequency See also Inharmonic (2) of or pertaining to musical harmony (the juxtaposition of one note with another or others)
Found at known distances from the base or fundamental frequency of a sound the harmonics add complexity, subtlety and timbre to a note Different instruments add harmonics in different ways Back
Frequency component at a frequency that is an integer multiple of the fundamental frequency
A frequency that is a whole-number multiple of the fundamental frequency For example, if the fundamental frequency of a sound is 440 Hz, the first two harmonics are 880 Hz and 1,320 Hz (1 32 kHz) See overtone; also see inharmonic
Sinusoidal component of an arc voltage that is a multiple of the fundamental wave frequency
Integer multiples of the fundamental frequency of interest commonly produced by a non-linear amplifier
of or relating to harmony as distinct from melody and rhythm; "subtleties of harmonic change and tonality"- Ralph Hill
of or relating to the branch of acoustics that studies the composition of musical sounds; "the sound of the resonating cavity cannot be the only determinant of the harmonic response"
a frequency that is an integer multiple (often two times) of the intended fundamental frequency
= A sinusoidal (pure-tone) component whose frequency is a whole-number multiple of the fundamental frequency of the wave If a component has a frequency twice that of the fundamental it is called the second harmonic, etc
Frequencies other than the fundamental basic frequency of a receptive wave When the waveform of the fundamental departs from a sine wave, harmonics are introduced at integer multiples of the fundamental frequency
A frequency that is a whole-number multiple of the fundamental frequency For example, if the fundamental frequency of a sound is 440Hz, then the first two harmonics are 880Hz and 1,320Hz (1 32kHz) See overtone
A tone whose frequency is an integer times the frequency of the fundamental (lowest) tone Every note played on a musical instrument consists of a fundamental tone plus many harmonics
A sinusoidal wave having a frequency that is an integral multiple of a fundamental frequency For example, a complex wave whose frequency is twice that of the fundamental frequency is called the second harmonic Harmonics in a power system cause distortion of the normal sinusoidal voltage waveform
a tone that is a component of a complex sound relating to vibrations that occur as a result of vibrations in a nearby body; "sympathetic vibration" of or relating to harmony as distinct from melody and rhythm; "subtleties of harmonic change and tonality"- Ralph Hill of or relating to the branch of acoustics that studies the composition of musical sounds; "the sound of the resonating cavity cannot be the only determinant of the harmonic response
A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others
An instrument used to measure the amplitudes, frequencies and phases of the components of a nonsinusoidal waveform; especially one used for analyzing audio frequencies
A situation where one input to output mapping pair receives a set of constraint violations that is a proper subset of the set of constraints violations received by a different input-output pair
A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, H = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} }
A system which, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x according to Hooke's law: F = -k x \, , where k is a positive constant
(Otomotiv) A grooved wheel attached to the front end of the crankshaft which is connected by accessory belts to the fan, alternator, power steering pump, water pump, air conditioning compressor, and other devices so that the rotating crankshaft can drive these other parts as well. The crankshaft pulley usually has timing marks located on it, and these are necessary for checking and adjusting timing with a timing light. Also called a harmonic balance wheel
A periodic vibration, as of a violin string, in which the motions are symmetrical about a region of equilibrium. Such a vibration may have only one frequency and amplitude or may be a combination of two or more components. Also called simple harmonic motion
advanced development of "classical" harmonic analysis dealing with functions of general kinds and with arguments as representations of infinite groups and group algebras of locally compact groups
oscillating motion (as of a pendulum) in which the acceleration of the oscillator has an equal magnitude but opposite direction to the displacement of it from the equilibrium position
An overtone whose frequency is a whole-number multiple of the intitial or base frequency The whole number multiples of a frequency that determines the timbre recognition of an instrument's sound
Integral multiples of a puretone The tone itself is the 1st harmonic, or fundamental frequency; twice the frequency of the tone is the 2nd harmonic; three times the frequency of the tone is the 3rd harmonic; etc
Sound & vibration due to engine vibration at high speeds Spec Sheet (Specification Sheet) issued by GSARA & calls out minimum measurement requirements for each racing aircraft
Harmonics are sinusoidal voltages or currents having frequencies that are integer multiples of the frequency at which the supply system is designed to operate Harmonic distortion originates is the nonlinear characteristics of device and loads on the power system The levels are described by the complete harmonic spectrum with magnitudes and phase angles of each individual harmonic component The IEEE Standard 519-1992 provides guidelines for harmonic current and voltage distortion levels on transmission and distribution circuits
Harmonics or overtones provide the characteristic timbre of instruments and voices and occur above and below the so-called fundamental or base note The popular soft plastic pipe can be used to explore harmonics -- as you swirl it around faster and faster, you "climb up" from one harmonic to the next You can also over-blow a glass bottle with higher and higher air velocity for the same experiment The first harmonic is one octave higher than the fundamental The second harmonic an octave + a fifth The third harmonic is two octaves higher than the fundamental The forth adds another third Odd-order harmonics are more pleasing to the human ear because they act as octave-doublers Most tube amps have high odd-order distortion, which causes a euphonic coloration Even-order distortion introduces fifth, thirds and diminished thirds and isnt harmonically benign THD specs report on the Total Harmonic Distortion behavior of amplifiers
Also called overtones, these are vibrations at frequencies that are multiples of the fundamental Harmonics extend without limit beyond the audible range They are characterized as even-order and odd-order harmonics A second-order harmonic is two times the frequency of the fundamental; a third order is three times the fundamental; a fourth order is four times the fundamental; and so forth Each even-order harmonic: second, fourth, sixth, etc -is one octave or multiples of one octave higher than the fundamental; these even-order overtones are therefore musically related to the fundamental Odd-order harmonics, on the other hand: third, fifth, seventh, and up-create a series of notes that are not related to any octave overtones and therefore may have an unpleasant sound Audio systems that emphasize odd-order harmonics tend to have a harsh, hard quality
The higher multiples of the fundamental frequency superimposed on an ac wave form Harmonics can create power line disturbances that damage sensitive electronic equipment such as computers They also add current to the system neutral conductor
Secondary and less distinct tones which accompany any principal, and apparently simple, tone, as the octave, the twelfth, the fifteenth, and the seventeenth
A series of partials with frequencies that are pie multiples of a fundamental frequency (In a harmonic series, the first harmonic would be the fundamental, second harmonic the first overtone )
The name is also applied to the artificial tones produced by a string or column of air, when the impulse given to it suffices only to make a part of the string or column vibrate; overtones
the vibration of an air column or string is divided into fractions (for example, two halves, three thirds, etc) which sound simultaneously to produce sound
Individual pure sounds that are part of any musical tone; in string instruments, crystalline tones in the very high register, produced by lightly touching a vibrating string at a certain point
Multiples of a principal frequency, invariably exhibiting lower amplitudes Harmonics can be generated as a result of circuit non-linearities associated with radio transmissions resulting in harmonic distortion See also Spurious emissions
In electrical usage, harmonics are multiple of the frequency of the base sine wave of voltage or current For example the 5th harmonic of a 60 Hz sine wave is 300 Hz Nonsinusoidial repetitive waveforms can be broken down into specific values of the fundamental and its harmonics by Fourier analyses
Multiples of a single sine wave (the fundamental frequency) The even harmonics are the 2nd, 4th, 6th, etc , and the odd harmonics are the 3rd, 5th, 7th , etc All harmonics are multiples of their fundamental frequency
Objects vibrating in nature usually have a main natural frequency This natural fundamental frequency has associated with it a series of other frequencies, which are multiples of it These frequencies are called Harmonic Frequencies If the fundamental frequency is say 200 cycles per second (referred to as 200 Hertz or 200 Hz) then the 2nd Harmonic is 400 Hz, 3rd Harmonic is 600 Hz and so on as shown below For sound we have that: A harmonic is one of a series of sonic components of a sound A sounding pitch comprises a fundamental, and a number of harmonics above that fundamental, the totality being called a harmonic spectrum The make-up of a spectrum (which harmonics are present, and in what proportion) produces the timbre, or tone color, of an instrument or voice Harmonics can be produced separately on an instrument
Each of the terms of a Fourier series decomposition of a periodic waveform The Fourier decomposition of a periodic function x(t) with angular frequency w consist of
Additional frequencies, multiples of the fundamental, appearing in the output waveform of an alternator (Reducing harmonics to tolerable working limits is an element of good design practice )
Repetitive back-and-forth movement through a central, or equilibrium, position in which the maximum displacement on one side is equal to the maximum displacement on the other. Each complete vibration takes the same time, the period; the reciprocal of the period is the frequency of vibration. The force that causes the motion is always directed toward the equilibrium position and is directly proportional to the distance from it. A pendulum displays simple harmonic motion; other examples include the electrons in a wire carrying alternating current and the vibrating particles of a medium carrying sound waves