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Complex Soundwaves

复合声波/Fu1 He2 Sheng1 Bo1

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Most objects vibrate in a more complex way than a simple back and forth motion. The more complex the vibrations the more complex the resulting sound waves.

Simple soundwaves can be added together. When this happens, more complex and interesting soundwave patterns appear.

Combining Sounds
Any sounds can be added together, and characteristics of the initial sounds will often be transferred into the final complex sound.

As explored in Generating Sounds, the three general categories of sound are Noise, Impulse Click and Pitch sounds.

Pitched sounds are regular, while noise sounds are erratic and impulses are very short.

These three sound types can be thought of as extreme types of generated sound. Many other sounds exist between these extreme points as a mixture of all three sound types.

Mixing between these three extremes will give us an unlimited supply of hybrid and complex sounds.

Extra
Different types of simple soundwaves (and what makes them different) are explored in Generating Sounds.

If you’re completely lost then it might be useful to refresh your memory of Basic Soundwaves.

Fact
We can see the difference between noisy and pitched sounds by creating a Sonogram for each type and comparing them.

Image of a Noise Sound
A noise sound

Image of a Pitched Sound
A pitched sound

As sounds get more complex, so do their visualisations.

Combining Wave Types
As we combine pitched and noise sounds we get sounds of increasing complexity.

The following sound was created from a mixture of noise and a sine tone.

A Hybrid Sound
This sound was created by combining a pitched sine tone with white noise. The resulting sound retains the pitch of the original sine tone, but has been coloured with noise characteristics from the white noise.

Can you hear the difference and similarities between the original sounds (above) and the final output sound?

Beyond Basic Sound Types
Objects that vibrate in a more ordered fashion produce sounds that we describe as pitched. This is because the sounds produced contain a greater focus of sound wave energy, with frequencies concentrated into narrow bands. These concentrations of sound wave energy are called partials.

Here you can see the many partials (horizontal lines) which make up the guitar sound.

The guitar string itself is very narrow, and this narrow size causes the vibrational energy to remain very focussed. When the string vibrates it can only do so in a number of ways. The image below shows some of the various rates of vibrations which occur as the string is plucked.

Each of these different waves of vibration relate to partials that you can see in the sonogram of the guitar sound (above).


The combined waveform

All of the vibrations occur simultaneously as the strong is struck. And interact with one another to create a complex waveform pattern.

The relationship of partials within a pitched sound can also affect the type of sound that we hear.

Fact
If the partials making a sound are related to one another by whole number ratios we can describe the sound as Harmonic.

The guitar sound is an example of a harmonic sound.

You can see in the sonogram (above) that all of the partials are evenly and regularly spaced.

Where the partials are not evenly spaced we describe the sound as Inharmonic.
Bells make an inharmonic sound.

Inharmonic sounds are still pitched, but they do not have a simple relationship between partials.

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