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A pure tone's pressure waveform versus time looks like this; its frequency determines the x axis scale; its amplitude determines the y axis scale; and its phase determines the x origin. In psychoacoustics , a pure tone is a sound with a sinusoidal waveform ; that is, a sine wave of constant frequency , phase-shift , and amplitude . [ 1 ]
A pitch class is defined as the set of all pitches that share the same chroma. For example, using the scientific pitch notation, the pitch class corresponding to the chroma C is the set {..., C −2, C −1, C 0, C 1, C 2, C 3...} consisting of all pitches separated by an integer number of octaves.
Do frequency filtering. A frequency range of between 100 and 5000 Hz is used. Do peak detection. Only the local maximum values of the spectrum are considered. Do reference frequency computation procedure. Estimate the deviation with respect to 440 Hz. Do Pitch class mapping with respect to the estimated reference frequency. This is a procedure ...
If one starts on any equal-tempered pitch and repeatedly ascends by the musical interval of a semitone, one will eventually land on a pitch with the same pitch class as the initial one, having passed through all the other equal-tempered chromatic pitch classes in between. Since the space is circular, it is also possible to descend by semitone.
Although pitch retrieval mechanisms in the auditory system are still a matter of debate, [76] [115] TFS n information may be used to retrieve the pitch of low-frequency pure tones [75] and estimate the individual frequencies of the low-numbered (ca. 1st-8th) harmonics of a complex sound, [116] frequencies from which the fundamental frequency of ...
Logarithmic plot of frequency in hertz versus pitch of a chromatic scale starting on middle C. Each subsequent note has a pitch equal to the frequency of the prior note's pitch multiplied by 12 √ 2. The base-2 logarithm of the above frequency–pitch relation conveniently results in a linear relationship with or :
This continuum is known as pitch height. However pitch also varies in a circular fashion, known as pitch class: as one plays up a keyboard in semitone steps, C, C ♯, D, D ♯, E, F, F ♯, G, G ♯, A, A ♯ and B sound in succession, followed by C again, but one octave higher.
The simplest pitch space model is the real line. A fundamental frequency f is mapped to a real number p according to the equation = + (/) This creates a linear space in which octaves have size 12, semitones (the distance between adjacent keys on the piano keyboard) have size 1, and middle C is assigned the number 60, as it is in MIDI. 440 Hz is the standard frequency of 'concert A', which ...
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