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Longman Dictionary of Contemporary English
harmonic
adjective
COLLOCATIONS FROM CORPUS
■ NOUN
progression
▪ By setting them to different scales harmonic progressions which would be unplayable on a single harp are made possible.
▪ When the two techniques are combined with harmonic progressions, the results can be fascinating.
▪ The use of a repeated harmonic progression is typical of rock.
EXAMPLES FROM CORPUS
▪ Composers have often introduced dissonant diatonic notes into otherwise straight forward harmonic situations to give the desired touch of dissonance or unconventionality.
▪ Dire harmonic confusion would result were the bass to be mingled with the upper parts.
▪ Miller solos are complex and radiant; his harmonic support for the group, magnificent.
▪ Now it is 4, which is to be subjected to harmonic analysis.
▪ Our earliest piece of Orphic evidence, the Derveni commentary, described the workings of the cosmos as harmonic.
▪ Their appearance is connected with anharmonicity, which leads to a breakdown of the selection rules derived assuming simple harmonic motion.
▪ Then off with the chaconne she went, gathering force with each repetition of its harmonic pattern.
▪ This particular train, though, headed for harmonic destinations never envisaged in Billy Strayhorn's original.
The Collaborative International Dictionary
Harmonic

Harmonic \Har*mon"ic\ (h[aum]r*m[o^]n"[i^]k), Harmonical \Har*mon"ic*al\ (-[i^]*kal), a. [L. harmonicus, Gr. "armoniko`s; cf. F. harmonique. See Harmony.]

  1. Concordant; musical; consonant; as, harmonic sounds.

    Harmonic twang! of leather, horn, and brass.
    --Pope.

  2. (Mus.) Relating to harmony, -- as melodic relates to melody; harmonious; esp., relating to the accessory sounds or overtones which accompany the predominant and apparent single tone of any string or sonorous body.

  3. (Math.) Having relations or properties bearing some resemblance to those of musical consonances; -- said of certain numbers, ratios, proportions, points, lines, motions, and the like.

    Harmonic interval (Mus.), the distance between two notes of a chord, or two consonant notes.

    Harmonical mean (Arith. & Alg.), certain relations of numbers and quantities, which bear an analogy to musical consonances.

    Harmonic motion, the motion of the point A, of the foot of the perpendicular PA, when P moves uniformly in the circumference of a circle, and PA is drawn perpendicularly upon a fixed diameter of the circle. This is simple harmonic motion. The combinations, in any way, of two or more simple harmonic motions, make other kinds of harmonic motion. The motion of the pendulum bob of a clock is approximately simple harmonic motion.

    Harmonic proportion. See under Proportion.

    Harmonic series or Harmonic progression. See under Progression.

    Spherical harmonic analysis, a mathematical method, sometimes referred to as that of Laplace's Coefficients, which has for its object the expression of an arbitrary, periodic function of two independent variables, in the proper form for a large class of physical problems, involving arbitrary data, over a spherical surface, and the deduction of solutions for every point of space. The functions employed in this method are called spherical harmonic functions.
    --Thomson & Tait.

    Harmonic suture (Anat.), an articulation by simple apposition of comparatively smooth surfaces or edges, as between the two superior maxillary bones in man; -- called also harmonia, and harmony.

    Harmonic triad (Mus.), the chord of a note with its third and fifth; the common chord.

Harmonic

Harmonic \Har*mon"ic\ (h[aum]r*m[o^]n"[i^]k), n. (Mus.) A musical note produced by a number of vibrations which is a multiple of the number producing some other; an overtone. See Harmonics.

Douglas Harper's Etymology Dictionary
harmonic

1560s, "relating to music;" earlier (c.1500) armonical "tuneful, harmonious," from Latin harmonicus, from Greek harmonikos "harmonic, musical, skilled in music," from harmonia (see harmony). Meaning "relating to harmony" is from 1660s. The noun, short for harmionic tone, is recorded from 1777.

Wiktionary
harmonic

a. 1 pertaining to harmony 2 pleasant to hear; harmonious; melodious 3 (context mathematics English) (non-gloss definition: used to characterize various mathematical entities or relationships supposed to bear some resemblance to musical consonance) n. (context physics English) a component frequency of the signal of a wave that is an integer multiple of the fundamental frequency

WordNet
harmonic
  1. adj. of or relating to harmony as distinct from melody and rhythm; "subtleties of harmonic change and tonality"- Ralph Hill [ant: nonharmonic]

  2. 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"

  3. relating to vibrations that occur as a result of vibrations in a nearby body; "sympathetic vibration" [syn: sympathetic]

  4. involving or characterized by harmony [syn: consonant, harmonical, harmonized, harmonised, in harmony]

harmonic

n. a tone that is a component of a complex sound

Wikipedia
Harmonic (mathematics)

In mathematics, a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians; the solutions to which are given by eigenvalues corresponding to their modes of vibration. Thus, the term "harmonic" is applied when one is considering functions with sinusoidal variations, or solutions of Laplace's equation and related concepts.

Harmonic (disambiguation)

Harmonic usually refers to the frequency components of a time-varying signal, such as a musical note.

Harmonic

The term harmonic in its strictest sense describes any member of the harmonic series. The term is employed in various disciplines, including music and acoustics, electronic power transmission, radio technology, etc. It is typically applied to repeating signals, such as sinusoidal waves. A harmonic of such a wave is a wave with a frequency that is a positive integer multiple of the frequency of the original wave, known as the fundamental frequency. The original wave is also called 1st harmonic, the following harmonics are known as higher harmonics. As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. For example, if the fundamental frequency is 50 Hz, a common AC power supply frequency, the frequencies of the first three higher harmonics are 100 Hz (2nd harmonic), 150 Hz (3rd harmonic), 200 Hz (4th harmonic) and any addition of waves with these frequencies is periodic at 50 Hz.

Usage examples of "harmonic".

To make the theory work there has to be some method of determining where each chord would be placed on the Harmonic Heptagon relative to previous chords that have already occurred in the tune.

For example, a musical note at 200Hz will have harmonics at 400Hz and 600Hz, and the ratio between these is 2:3, which corresponds to the harmonic interval that would exist between two notes with fundamental frequencies of 400Hz and 600Hz.

The Harmonic Heptagon provides a compact visualisation of all the consonant relationships between notes in the diatonic scale, and a trip once around the heptagon corresponds to one syntonic comma.

Harmonic Christers sect elected to leave their home planet, they chose this spaceship to carry them from Eleison to whatever world they might find and deem to be suitable.

As the high harmonic crowns the end of a long cadenza on a violin, fulfilling bars of difficult effort, this point of exquisite beauty flashed life into the Pattern of the story, consummating the labour of construction with the true, inevitable climax.

The harmonics are clearly visible in the vowel portions of the syllables.

The basic trick in constructing these tones is that the only harmonics are those with frequencies which are multiples of the fundamental frequency by powers of 2, i.

And we know that these are the same ratios that occur between frequencies of harmonics of individual sounds, for certain types of sounds.

It requires calibrations to be made against higher harmonics of very low frequency sounds, where the higher harmonics are in the range of the intervals that you are calibrating against.

This suggests that the brain does not bother to use higher harmonics for the purpose of calibrating comparisons of interval sizes.

The main reason to doubt that this type of arithmetic plays a significant role in the calibration of interval perception is the same as the second reason given above for supposing that higher harmonics are not involved in this calibration: complex fractions are not observed to be significant in music perception.

The flows shown by dashed arrows represent raw information about individual harmonics and processed information about timbre being included in the inputs to cortical maps that process melody.

But there are two ways to measure the rise in pitch: either we estimate each pitch value first, from the observed values of all the harmonics, and then calculate the ratio between the pitch value estimates, or, we calculate the corresponding ratio between each pair of corresponding harmonic frequencies, and then average these ratios to get our estimate of the change in pitch.

X and sound Y can be performed by comparing all the harmonics of sound X and all the harmonics of sound Y .

Charlie Mollier, the geologist, had reported strange seismic readings, harmonic vibrations radiating through the deep-sea mountain range.