Can Destructive Interference Completely Silence Music?

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SUMMARY

This discussion centers on the principles of destructive interference in sound waves and its implications for music perception. It confirms that while constructive interference produces music, destructive interference can theoretically lead to moments of silence, particularly in specific acoustic setups. The conversation highlights the necessity for two sound waves to be of the same frequency and out of phase to achieve complete silence, a principle utilized in noise-canceling headphones. Practical examples illustrate how sound waves interact in real environments, affecting how music is heard.

PREREQUISITES
  • Understanding of sound wave properties and interference
  • Knowledge of acoustics and sound wave behavior in different environments
  • Familiarity with musical intervals and harmonic relationships
  • Basic principles of noise-canceling technology
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  • Research the physics of sound wave interference and its mathematical principles
  • Explore the design and functionality of noise-canceling headphones
  • Study the effects of acoustics in various environments, such as concert halls and malls
  • Investigate the relationship between frequency ratios and musical harmony
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Acoustics engineers, audio technology developers, musicians, and anyone interested in the science of sound and music perception.

zabachi
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I understand that when constructive interference occurs, music is produced, destructive interference can also happen right? Then it is possible that sometimes no sound is produced at all? Thanks!
 
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Um - what makes you think that constructive interference creates music?

When you have a number of different sounds, they will interfere constructively and destructively. It is the interplay of different harmonics and timings that gets interpreted by a human being as music or discord or just plain noise.
 
This website sit said this:"Another simple example of two sound waves with a clear mathematical relationship between frequencies is shown below. Note that the red wave has three-halves the frequency of the blue wave. In the music world, such waves are said to be a fifth apart and represent a popular musical interval. Observe once more that the interference of these two waves produces a resultant (in green) that has a periodic and repeating pattern. It should be said again: two sound waves that have a clear whole number ratio between their frequencies interfere to produce a wave with a regular and repeating pattern; the result is music." http://www.physicsclassroom.com/class/sound/u11l3a.cfm
So its possible that while playing music sometimes we won't hear anything?(theoretically)
 
Well yes - eg, when playing beats, there may be a moment of silence between them.
If you set up a standing sound-wave in a room, then there will be quiet spots and loud spots.

You can also get an interference effect - for instance, if two instruments play a perfect tone then there will be whole lines of people in the room who hear nothing and whole lines who will hear it very loudly ... the lines fan out from the musicians. You can get more complicated patterns.

In practice the acoustics will mess up the effects. (Sound from a loud zone can reflect off the back wall into a quiet zone for eg.) Some modern mall try to exploit the effect to minimize the shrill-noise you get in most malls from all the musack and people talking all at once.

In actual music, the wavelengths are changing all the time so you'd be hard-pressed to make an entire piece silent for some people in the room.
 
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We usually only use the terms "constructive interference" and "destructive interference" when both of the waves are exactly the same shape. The "music" example is when you have different waves whose frequencies are related to each other in a simple ratio (3/2 in the example given), so you get a repeating pattern that is a pleasant-sounding musical chord.

Destructive interference needs two signals of exactly the same frequency and exactly "out of phase" with each other. This is very difficult to achieve in practice, but not impossible (as Simon Bridge points out).

If two signals are almost the same frequency, you will get a "beat frequency", getting louder and quieter, as explained later on the same webpage you quoted.
 
Oh it's a chord - I had this feeling I was missing something... :(
 
zabachi said:
I understand that when constructive interference occurs, music is produced, destructive interference can also happen right? Then it is possible that sometimes no sound is produced at all? Thanks!

Correct. Thats how noise cancelling headphones work. They have a microphone to measure the unwanted noise, they phase shift it 180 degrees and play the resulting "anti noise" out of the speaker. Destructive interference between the noise and the anti noise occurs somewhere near your ear drum...and the result is silence, the noise dissapears.
 

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