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Time-Frequency-Structures in the Attack Transients of Piano and Harpsichord Sounds – I

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Using the example of attack transients of piano and harpsichord sounds, non-steady musicalacoustical vibration structures are studied in the time domain.

As standardizing characteristics for radiated sounds, acoustical behaviour of rooms with the effect of low-pass filters and properties of radiation of sound generators are taken into consideration.

In the vibration curves under changing and increasing intensities, the analysis in the time domain indicates developments which show a great variety of oscillations at the beginning of the tones and a gradual smoothing of the vibration segments in the further course of time.

With the assumption of a simultaneously amplitude and phase modulated sinusoidal basis it is possible to show audio-significant frequency domains in the vibration structures of all attack transients which are attached to both sounding and noiselike auditory sensations. Especially the assumption of such a sinusoidal basis permits the determination of a sequence of asymptotically periodic successive vibration segments of strongest intensity in the time structures of the tonerises. The periodicity of this series is correlated to musical pitch sensation. By reason of momentary changes of the higher frequencies associated with the greatest variation of intensity during the signal-rise, the attack transients of the tones in the very beginning have moments of initial sounding which are typical for the instrument and the noise perceived.
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Document Type: Research Article

Publication date: July 1, 1976

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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