harmonic progression

• Sequência de números cujos inversos formam uma progressão aritmética, usada em matemática; em música, sucessão de acordes que segue uma lógica harmônica.

A sequence of numbers whose reciprocals form an arithmetic progression, commonly used in mathematics and music theory.

1. Mathematical sequenceC1formal

   A sequence of numbers where the reciprocals of the terms form an arithmetic progression.

   Progressão harmônica

   • The sequence 1, 1/2, 1/3, 1/4 is a simple harmonic progression.
   • In mathematics, a harmonic progression is often studied alongside arithmetic and geometric progressions.
   • The sum of a harmonic progression diverges slowly.

2. Music theoryC1formal

   A series of chords or harmonic changes that follow a logical or conventional pattern in a musical composition.

   progressão harmônica

   • The composer used a standard harmonic progression in the final movement.
   • A common harmonic progression in jazz is the ii-V-I progression.
   • Understanding harmonic progression is essential for analyzing classical music.