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Harmonics
Harmonics Har*mon"ics, n.
1. The doctrine or science of musical sounds.
2. pl. (Mus.) Secondary and less distinct tones which
accompany any principal, and apparently simple, tone, as
the octave, the twelfth, the fifteenth, and the
seventeenth. 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.
HarmonicHarmonic Har*mon"ic, Harmonical Har*mon"ic*al, a. [L.
harmonicus, Gr. ?; 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, HarmonicHarmonic Har*mon"ic, 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.
Meaning of Harmonics from wikipedia
- 1st
harmonic; the
other harmonics are
known as
higher harmonics. As all
harmonics are
periodic at the
fundamental frequency, the sum of
harmonics is also...
- fields. The
table of
spherical harmonics contains a list of
common spherical harmonics.
Since the
spherical harmonics form a
complete set of orthogonal...
-
Playing a
string harmonic (a flageolet) is a
string instrument technique that uses the
nodes of
natural harmonics of a
musical string to
isolate overtones...
- The
harmonic series (also
overtone series) is the
sequence of
harmonics,
musical tones, or pure
tones whose frequency is an
integer multiple of a fundamental...
-
quantum mechanics, the
spinor spherical harmonics (also
known as spin
spherical harmonics,
spinor harmonics and
Pauli spinors) are
special functions...
-
current harmonics will
cause only
small voltage harmonics. It is
typically the case that
voltage harmonics are
indeed small compared to
current harmonics. For...
- of the
harmonics on the unit n-sphere, one
arrives at the
spherical harmonics.
These functions satisfy Laplace's
equation and over time "
harmonic" was used...
- In mathematics, the
harmonic mean is a kind of average, one of the
Pythagorean means. It is the most
appropriate average for
ratios and
rates such as speeds...
- In
classical mechanics, a
harmonic oscillator is a
system that, when
displaced from its
equilibrium position,
experiences a
restoring force F proportional...
- THD+N = ∑ n = 2 ∞
harmonics +
noise fundamental . {\displaystyle {\text{THD+N}}={\frac {\displaystyle \sum _{n=2}^{\infty }{\text{
harmonics...