Harmonic progression

Harmonic progression
Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] [1913 Webster] 1. The act of moving forward; a proceeding in a course; motion onward. [1913 Webster]

2. Course; passage; lapse or process of time. [1913 Webster]

I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. [1913 Webster]

3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. [1913 Webster]

4. (Mus.) A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key. [1913 Webster]

{Arithmetical progression}, a progression in which the terms increase or decrease by equal differences, as the numbers [lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the difference 2. [1913 Webster]

{Geometrical progression}, a progression in which the terms increase or decrease by equal ratios, as the numbers [lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2] by a continual multiplication or division by 2. [1913 Webster]

{Harmonic progression}, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as 1/2, 1/4, 1/6, 1/8, 1/10. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Harmonic progression — 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… …   The Collaborative International Dictionary of English

  • harmonic progression — n. a series of quantities whose reciprocals form an arithmetic progression (Ex: 1/ 2, 1/ 3, and 1/ 4: the resulting arithmetic progression 2, 3, and 4 is not a harmonic progression) …   English World dictionary

  • harmonic progression — noun (mathematics) a progression of terms whose reciprocals form an arithmetic progression • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑progression, ↑patterned advance …   Useful english dictionary

  • harmonic progression — noun Date: 1671 a sequence of numbers whose reciprocals form an arithmetic progression …   New Collegiate Dictionary

  • harmonic progression — Math. a series of numbers the reciprocals of which are in arithmetic progression. [1865 70] * * * …   Universalium

  • harmonic progression — noun 1》 Music a series of chord changes forming the underlying harmony of a piece of music. 2》 Mathematics a sequence of quantities whose reciprocals are in arithmetical progression (e.g. 1, 1/3, 1/5, 1/7, etc.) …   English new terms dictionary

  • harmonic progression — harmon′ic progres′sion n. math. a series of numbers the reciprocals of which are in arithmetic progression • Etymology: 1865–70 …   From formal English to slang

  • harmonic progression — /haˌmɒnɪk prəˈgrɛʃən/ (say hah.monik pruh greshuhn) noun 1. a series of numbers the reciprocals of which are in arithmetic progression. 2. Music the structural principle underlying chords and their relationship in musical composition …  

  • 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 …   The Collaborative International Dictionary of English

  • Harmonic interval — 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… …   The Collaborative International Dictionary of English

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