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Created page with "What we perceive as sound is caused by changes in pressure against our eardrums, primarily by waves traversing through the air (although waves can also permeate through other..."
What we perceive as sound is caused by changes in pressure against our eardrums, primarily by waves traversing through the air (although waves can also permeate through other fluids). A '''wave''' is an oscillation (vibration), where the air pressure alternates higher ('''compression''') and lower ('''rarefaction''') than its equilibrium level. The magnitude of the change in pressure is called '''amplitude'''. If the waves sustain for a long enough duration, their amplitude is directly proportional to their perceived '''loudness''' or '''volume''' (although this is also dependent upon frequency).
Most of the sound waves generated by musical instruments are '''periodic''', meaning they repeat the same or very similar patterns of amplitude ('''waveforms''') consistently. Sound can also consist of non-periodic waveforms, such as sustained '''noise''' and [[Transients|'''transients''']], usually caused before or after sounding notes by incidental collisions or rubbing of fingers and the parts of the instruments outside of how they primarily generate sound (rubbing fingers on a string, strings hitting the frets, picks initially touching the strings before releasing them).
The simplest waveform is a sine wave, a smooth alternating rise and fall of amplitude, with a clear '''crest''' (point of maximum positive amplitude/compression) and '''trough''' (maximum negative amplitude/rarefaction). The number of times the waveform repeats gives us the '''frequency''', which is related to the pitch of the sound. The length of time that passes between crest to crest or trough to trough of each subsequent cycle is called the '''wavelength''' and is inversely proportional to the frequency.
Digital Signal Processing (DSP) and synthesizers are premised around the idea that sine waves of various frequencies can be combined to produce different (non-sinusoidal) waveforms. This concept is expanded upon mostly on the [[Overtones|overtones page]]. However, also keep in mind chords can be formed by mixing non-harmonic overtone frequencies. Usually these still have a somewhat low whole-number ratio. For example, the just intonation ratios for the M3 and P5 intervals are and 2:3
Most of the sound waves generated by musical instruments are '''periodic''', meaning they repeat the same or very similar patterns of amplitude ('''waveforms''') consistently. Sound can also consist of non-periodic waveforms, such as sustained '''noise''' and [[Transients|'''transients''']], usually caused before or after sounding notes by incidental collisions or rubbing of fingers and the parts of the instruments outside of how they primarily generate sound (rubbing fingers on a string, strings hitting the frets, picks initially touching the strings before releasing them).
The simplest waveform is a sine wave, a smooth alternating rise and fall of amplitude, with a clear '''crest''' (point of maximum positive amplitude/compression) and '''trough''' (maximum negative amplitude/rarefaction). The number of times the waveform repeats gives us the '''frequency''', which is related to the pitch of the sound. The length of time that passes between crest to crest or trough to trough of each subsequent cycle is called the '''wavelength''' and is inversely proportional to the frequency.
Digital Signal Processing (DSP) and synthesizers are premised around the idea that sine waves of various frequencies can be combined to produce different (non-sinusoidal) waveforms. This concept is expanded upon mostly on the [[Overtones|overtones page]]. However, also keep in mind chords can be formed by mixing non-harmonic overtone frequencies. Usually these still have a somewhat low whole-number ratio. For example, the just intonation ratios for the M3 and P5 intervals are and 2:3