We measured equal-loudness level contours for tone bursts lasting about 20 ms. The results, which need to be confirmed, suggest that equal-loudness contours for tone bursts are similar to those in ISO 226 for long-duration tones at frequencies below 6 kHz but not at higher frequencies.
Keywords:Equal-loudness level contours, Tone burst, ISO 226 PACS number: 44.66.Cb
INTORODUCTIONLoudness calculations are based on equal-loudness level contours for long-duration tones. Most natural sounds are not in a steady state, but have amplitude peaks that typically are much shorter than the 50-150-ms integration time generally assumed for loudness (for review, see Scharf [1]). On applying the contours for longduration tones to sounds which are not in a steady state, the equal-loudness level contours for short tones should conform to those for long-duration tones at all frequencies.Buus et al.[2] tested loudness for tone bursts at frequencies of 0.5 kHz, 1 kHz and 4 kHz with equivalent rectangular durations of 5 and 200 ms, and indicated that the average amounts of temporal integration differ neither across frequency nor among listeners. In this study, we measured equal-loudness level contours for tone bursts at frequencies from 315 Hz to 12.5 kHz at intervals of 1/3 octave and compared them to those of ISO 226 [3], as obtained by Robinson and Dadson [4].It has to be noted that if the bandwidth of a complex sound of fixed energy (or intensity) increases beyond the critical bandwidth, the loudness of the sound begins to increase [5]. We therefore used a pure tone with a Hanning window of about 20 ms (1,024 samples, 48 kHz sampling) to prevent the spreading of energy into other frequencies ('splatter'). For a Hanning window of 20 ms, the peak of the sidelobe amplitude relative to the mainlobe is −31 dB and the approximate width of the mainlobe is 187.5 Hz [6]. The critical bandwidth for a center frequency of 1 kHz, which was used as a reference frequency, is 160 Hz [7] and the amplitude at the edge of the critical band is less than −20 dB relative to the peak of the mainlobe.
METHOD AND RESULTS
ConditionThe experiments on equal-loudness level contours consisted of two parts, which we refer to as EX1 and EX2.Both EX1 and EX2 were performed in an anechoic room. The interior dimensions of the room were 7.75 × 7.5 × 7.2 m 3 . The interior surface of the room was lined with about 7,000 sound-absorbing wedges 1 m in length. The anechoic room satisfied the requirement of the maximum allowable difference level in ISO 3745 [8] above 100 Hz.Digital quantities required for producing sound waves were calculated and recorded on a hard disk in a personal computer beforehand, and then presented through a D/A converter with 16-bit resolution. An attenuator was used and controlled by the subject in 1 dB steps in EX1. The attenuator was controlled by the personal computer in EX2. Sounds were reproduced by a three-way loudspeaker with a 30-cm woofer, a 16-cm mid-range cone and a 19-mm tweeter. The dynamic behavior of the loudspeaker was...