catflap.org Online Dictionary Query

  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.
        [1913 Webster]
  
              Harmonic twang! of leather, horn, and brass. --Pope.
        [1913 Webster]
  
     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.
        [1913 Webster]
  
     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.
        [1913 Webster]
  
     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.
        [1913 Webster]

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

  harmonic series
     n.
     1 (lb en mathematics analysis) The divergent series whose terms are
  the reciprocals of the positive integers; the series
  <math>textstylesum_{n=1^infty frac 1 n</math>. (attention
  en Is this a proper noun?)
     2 (lb en music physics) The sequence of all positive integer
  multiples of a base (l en frequency).

  harmonic series
     n.
     1 (lb en mathematics analysis) The divergent series whose terms are
  the reciprocals of the positive integers; the series
  <math>textstylesum_{n=1^infty frac 1 n</math>. (attention
  en Is this a proper noun?)
     2 (lb en music physics) The sequence of all positive integer
  multiples of a base (l en frequency).

  harmonic series
     n.
     1 (lb en mathematics analysis) The divergent series whose terms are
  the reciprocals of the positive integers; the series
  <math>textstylesum_{n=1^infty frac 1 n</math>. (attention
  en Is this a proper noun?)
     2 (lb en music physics) The sequence of all positive integer
  multiples of a base (l en frequency).

  harmonic series
     n.
     1 (lb en mathematics analysis) The divergent series whose terms are
  the reciprocals of the positive integers; the series
  <math>textstylesum_{n=1^infty frac 1 n</math>. (attention
  en Is this a proper noun?)
     2 (lb en music physics) The sequence of all positive integer
  multiples of a base (l en frequency).

  harmonic series /hɑːmˈɒnɪk sˈiəɹiz/
  harmonische Reihe
   see: series, progression, arithmetic progression, geometric series, hypergeometric series, double series
  

  harmonic series /hɑːmˈɒnɪk sˈiəɹiz/ 
  調和級数
  series of reciprocals of natural numbers