What Does 'Harmonic' Mean in Math and Music?

In summary, a harmonic is a type of sound wave or vibration with a frequency that is a multiple of the fundamental frequency. It differs from a regular sound wave by having multiple frequencies. Some common examples of harmonic frequencies include those produced by musical instruments. Harmonics are important in music as they contribute to the unique sound of instruments and add complexity to compositions. They also have applications in fields such as physics, engineering, and acoustics, and are used in technologies like sonar and ultrasound imaging.
  • #1
Jhenrique
685
4
What means "harmonic"?

The term "harmonic" arise in the math in several subjects, harmonic series, harmonic function, analysis harmonic, mean harmonic... but in each context harmonic have a different interpretation, but exist a general interpretation for "harmonic"? From where is "harmonic" and what it remits?
 
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  • #2
It means - "relating to music" and the use in science and mathematics refers to a pure or "harmonious" note played on a musical instrument or intoned by the voice of a singer with "perfect pitch".
 

1. What is a harmonic?

A harmonic is a type of sound wave or vibration that is produced at a frequency that is a multiple of the fundamental frequency. In other words, it is a wave with a frequency that is a whole number multiple of the lowest frequency, or fundamental, of the wave.

2. How is a harmonic different from a regular sound wave?

A regular sound wave is made up of a single frequency, while a harmonic is made up of multiple frequencies that are multiples of the fundamental frequency. This gives a harmonic a more complex and rich sound compared to a regular sound wave.

3. What are some examples of harmonic frequencies?

Some common examples of harmonic frequencies include the notes produced by a plucked guitar string, the vibrations of a tuning fork, and the sound produced by a flute or other wind instrument.

4. Why are harmonics important in music?

Harmonics play a crucial role in music because they give different instruments and voices their unique and distinguishable sound. They also contribute to creating harmony and adding depth and complexity to musical compositions.

5. How are harmonics used in other fields besides music?

Harmonics have applications in various fields, including physics, engineering, and acoustics. They are used in technologies such as sonar, ultrasound imaging, and radio and television broadcasting. Harmonic analysis is also used in studying the behavior of complex systems, such as the stock market.

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