Subtractive synthesis
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Subtractive synthesis is a method of sound synthesis in which partials of an audio signal (often one rich in
harmonic A harmonic is a wave with a frequency that is a positive integer multiple of the ''fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', t ...
s) are attenuated by a filter to alter the
timbre In music, timbre ( ), also known as tone color or tone quality (from psychoacoustics), is the perceived sound quality of a musical note, sound or tone. Timbre distinguishes different types of sound production, such as choir voices and musica ...
of the sound. While subtractive synthesis can be applied to any source audio signal, the sound most commonly associated with the technique is that of analog synthesizers of the 1960s and 1970s, in which the harmonics of simple waveforms such as sawtooth,
pulse In medicine, a pulse represents the tactile arterial palpation of the cardiac cycle (heartbeat) by trained fingertips. The pulse may be palpated in any place that allows an artery to be compressed near the surface of the body, such as at the n ...
or
square wave A square wave is a non-sinusoidal periodic waveform in which the amplitude alternates at a steady frequency between fixed minimum and maximum values, with the same duration at minimum and maximum. In an ideal square wave, the transitions b ...
s are attenuated with a voltage-controlled resonant
low-pass filter A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. The exact frequency response of the filter depends on the filt ...
. Many
digital Digital usually refers to something using discrete digits, often binary digits. Technology and computing Hardware *Digital electronics, electronic circuits which operate using digital signals ** Digital camera, which captures and stores digital ...
,
virtual analog An analog modeling synthesizer is a synthesizer that generates the sounds of traditional analog synthesizers using DSP components and software algorithms. Analog modeling synthesizers simulate the behavior of the original electronic circuitry in ...
and
software Software is a set of computer programs and associated documentation and data. This is in contrast to hardware, from which the system is built and which actually performs the work. At the lowest programming level, executable code consist ...
synthesizers use subtractive synthesis, sometimes in conjunction with other methods of sound synthesis.


Examples of subtractive synthesis


A human example

The basis of subtractive synthesis can be understood by considering the human voice; when a human speaks, sings or makes other vocal noises, the
vocal folds In humans, vocal cords, also known as vocal folds or voice reeds, are folds of throat tissues that are key in creating sounds through vocalization. The size of vocal cords affects the pitch of voice. Open when breathing and vibrating for speec ...
act as an
oscillator Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum ...
and the
mouth In animal anatomy, the mouth, also known as the oral cavity, or in Latin cavum oris, is the opening through which many animals take in food and issue vocal sounds. It is also the cavity lying at the upper end of the alimentary canal, bounded on ...
and
throat In vertebrate anatomy, the throat is the front part of the neck, internally positioned in front of the vertebrae. It contains the pharynx and larynx. An important section of it is the epiglottis, separating the esophagus from the trachea (windpip ...
as a filter. Consider the difference between singing "oooh" and "aaah" , at the same pitch. The sound generated by the vocal folds is much the same in either case — a sound that is rich in
harmonics A harmonic is a wave with a frequency that is a positive integer multiple of the '' fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', ...
. The difference between the two comes from the filtering applied with the mouth and throat. By changing the shape of the mouth, the
frequency response In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. The frequency response is widely used in the design and analysis of s ...
of the filter is changed, removing (subtracting) some of the harmonics. The "aaah" sound has most of the original harmonics still present; the "oooh" sound has most of them removed (or, to be more precise, reduced in
amplitude The amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of am ...
). By gradually changing from "oooh" to "aaah" and back again, a spectral glide is created, emulating the "sweeping filter" effect that is the basis of the " wah-wah" guitar effect. Humans are also capable of generating something approximating
white noise In signal processing, white noise is a random signal having equal intensity at different frequencies, giving it a constant power spectral density. The term is used, with this or similar meanings, in many scientific and technical disciplines ...
by making a "sshh" sound. If a person "synthesizes" a "jet plane landing" sound, this is achieved mostly by altering the shape of the mouth to filter the white noise into
pink noise Pink noise or noise is a signal or process with a frequency spectrum such that the power spectral density (power per frequency interval) is inversely proportional to the frequency of the signal. In pink noise, each octave interval (halving ...
by removing the higher frequencies. The same technique (filtered white noise) can be used to electronically synthesize the sound of ocean waves and wind, and was used in early drum machines to create
snare drum The snare (or side drum) is a percussion instrument that produces a sharp staccato sound when the head is struck with a drum stick, due to the use of a series of stiff wires held under tension against the lower skin. Snare drums are often used ...
and other
percussion A percussion instrument is a musical instrument that is sounded by being struck or scraped by a beater including attached or enclosed beaters or rattles struck, scraped or rubbed by hand or struck against another similar instrument. Exc ...
sounds. For example, say the word "shoe" slowly, but keep making the "sh" throughout the entire word instead of just the beginning. Also try making the "sh" sound, but with a smile expression, and then continue "sh" while changing to a puckered or kissing expression.


An electronic example

The following is an example of subtractive synthesis as it might occur in an electronic instrument. It was created with a
personal computer A personal computer (PC) is a multi-purpose microcomputer whose size, capabilities, and price make it feasible for individual use. Personal computers are intended to be operated directly by an end user, rather than by a computer expert or te ...
program designed to emulate an analogue subtractive synthesizer. This example will attempt to imitate the sound of a plucked string. ''Whilst the following example illustrates how a desired sound might be achieved in practice, only the final three stages are really subtractive synthesis, and the early stages could be considered to be a form of
additive synthesis Additive synthesis is a sound synthesis technique that creates timbre by adding sine waves together. The timbre of musical instruments can be considered in the light of Fourier theory to consist of multiple harmonic or inharmonic '' partials'' ...
.'' First, two oscillators produce relatively complex and harmonic-rich waveforms:
Pulse-width modulation Pulse-width modulation (PWM), or pulse-duration modulation (PDM), is a method of reducing the average power delivered by an electrical signal, by effectively chopping it up into discrete parts. The average value of voltage (and current) fed ...
is added for a dynamically changing tone: The two sounds are mixed. In this case they are combined at equal volume, but any ratio could be used. The combined wave is passed through a voltage-controlled amplifier connected to an
ADSR envelope ADSR may refer to: * ADSR envelope (attack decay sustain release), a common type of music envelope * Accelerator-driven sub-critical reactor, a nuclear reactor using a particle accelerator to generate a fission reaction in a sub-critical assembly ...
. In other words, its volume is changed according to a pre-set pattern. This is an attempt to emulate the envelope of a plucked string: Then pass the sound through a shallow
low-pass filter A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. The exact frequency response of the filter depends on the filt ...
: In this case, to better emulate the sound of a plucked string, the filter cutoff frequency should start in the mid-range and to low. The effect is similar to an electric guitar's wah pedal. In real music production, there is often an additional step. An oscillator with a very
low frequency Low frequency (LF) is the ITU designation for radio frequencies (RF) in the range of 30–300  kHz. Since its wavelengths range from 10–1  km, respectively, it is also known as the kilometre band or kilometre wave. LF radio waves e ...
modulates one or more sounds over time, creating a dynamically changing sound.


See also

*
Additive synthesis Additive synthesis is a sound synthesis technique that creates timbre by adding sine waves together. The timbre of musical instruments can be considered in the light of Fourier theory to consist of multiple harmonic or inharmonic '' partials'' ...
*
Minimoog The Minimoog is an analog synthesizer first manufactured by Moog Music between 1970 and 1981. Designed as a more affordable, portable version of the modular Moog synthesizer, it was the first synthesizer sold in retail stores. It was first pop ...
* MicroKorg *
Modular synthesizer Modular synthesizers are synthesizers composed of separate modules for different functions. The modules can be connected together by the user to create a patch. The outputs from the modules may include audio signals, analog control voltages, o ...
* Korg MS-20 * Novachord * Steiner-Parker Synthacon


References


External links


AMS
– A free software synthesis program for ALSA. {{Sound synthesis types Sound synthesis types ru:Субтрактивный синтез