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Harmonic progression

Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] 1. The act of moving forward; a proceeding in a course; motion onward. 2. Course; passage; lapse or process of time. I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. 3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. 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. 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. 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. 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.

Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] 1. The act of moving forward; a proceeding in a course; motion onward. 2. Course; passage; lapse or process of time. I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. 3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. 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. 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. 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. 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.

- mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently...

- Harmonic progression may refer to: Chord progression in music Harmonic progression (mathematics) Sequence (music)...

- In a musical composition, a chord progression or harmonic progression is a succession of chords. Chord progressions are the foundation of harmony in Western...

- In mathematics, the harmonic series is the divergent infinite series: ∑ n = 1 ∞ 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯ {\displaystyle \sum _{n=1}^{\infty...

- arithmetic progression is, but allowing several possible differences Harmonic progression Heronian triangles with sides in arithmetic progression Problems...

- The following is a list of commonly used chord progressions in music. R., Ken (2012). DOG EAR Tritone Substitution for Jazz Guitar, Amazon Digital Services...

- Arithmetico-geometric sequence Linear difference equation Exponential function Harmonic progression Harmonic series Infinite series Preferred number Thomas Robert Malthus...

- and multi-tonic changes) are a harmonic progression variation using substitute chords over common jazz chord progressions. These substitution patterns were...

- the harmonic law) Quasi-harmonic motion Musica universalis (in medieval astronomy, the music of the spheres) Chord progression (in music, harmonic progression)...

- Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant Harmonic progression (mathematics)...

- Harmonic progression may refer to: Chord progression in music Harmonic progression (mathematics) Sequence (music)...

- In a musical composition, a chord progression or harmonic progression is a succession of chords. Chord progressions are the foundation of harmony in Western...

- In mathematics, the harmonic series is the divergent infinite series: ∑ n = 1 ∞ 1 n = 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯ {\displaystyle \sum _{n=1}^{\infty...

- arithmetic progression is, but allowing several possible differences Harmonic progression Heronian triangles with sides in arithmetic progression Problems...

- The following is a list of commonly used chord progressions in music. R., Ken (2012). DOG EAR Tritone Substitution for Jazz Guitar, Amazon Digital Services...

- Arithmetico-geometric sequence Linear difference equation Exponential function Harmonic progression Harmonic series Infinite series Preferred number Thomas Robert Malthus...

- and multi-tonic changes) are a harmonic progression variation using substitute chords over common jazz chord progressions. These substitution patterns were...

- the harmonic law) Quasi-harmonic motion Musica universalis (in medieval astronomy, the music of the spheres) Chord progression (in music, harmonic progression)...

- Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant Harmonic progression (mathematics)...

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