純音における立上がり時間の弁別限および識別関数を用いた立上がりパターンの分類 : 楽器音の立上がりに関する二, 三の実験, I

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Here, two experiments were carried out on the attack transient of pure tones, with special regard to the differences in tone quality of natural musical instruments and an electronic musical instrument. Recently, several researchers have pointed out that the attack transients of overtones are important physical factors affecting the tone quality of musical instruments. In this paper, we report mainly the result of the first experiment and the mathematical classification of the attack transient patterns. In the first section, the differential limen of the attack time (T) of pure tones was experimentally measured. The frequency of pure tones was set at 100, 400 and 1, 000 Hz. The factorial design of auditory experiments is shown in Table 1. The results, in Fig. 2 indicate that the differential limen decreases when the frequency becomes higher. The ratio of ΔT/T, being about 0. 35 in 100 Hz and about 0. 26 in 1 kHz. The decay time and the duration of pure tones only affected the differential limen a little. In the second section, 500 patterns of various attack transients for pure tones were classified mathematically by the linear discriminant technique. First, both the time and intensity of the transients were quantized into 15 steps, as the model in Fig. 3 shows. Here, the maximum length of the attack duration was set to 300 msec, which was divided into 15 equal appearing parts, consulting the value of differential limen obtained in the first experiment. Next, with linear discriminant function, a classification of these attack transient patterns was attempted. Fig. 4 shows the distribution of inner products obtained in the analysis. With this analysis, the 500 patterns were finally classified into 34 clusters. The results of experimental examination on the auditory characteristics of 34 clusters are described in the next paper.
社団法人日本音響学会の論文
1971-12-10

純音における立上がり時間の弁別限および識別関数を用いた立上がりパターンの分類 : 楽器音の立上がりに関する二, 三の実験, I

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