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# hwk06 - of absolute pitch are fairly clear The musician...

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1 Chapter 7 Solution RQ2. Critical bandwidth is roughly equal to 30 difference jnd’s at the same frequency. RQ4. Early work by Stevens indicated shifts in pitch as large as two semitones as the sound level of pure tones increased from 40 to 90dB. Tones of low frequency were found to fall in pitch with increasing intensity; tones of high frequency rise in pitch with increasing intensity; tones of middle frequency show little change. From Figure 7.3, we see that 200Hz frequency falls about 30 cents with increasing intensity from 40 to 90dB. RQ6. The pitch of 200Hz will generally be heard. RQ9. Timbre depends on the frequency of a tone, its time envelope, its duration, and the sound level at which it is heard. Under most conditions, the timbre of a complex sound is insensitive to the phase of its component. QTD3. The absolute pitch is the term that refers to the ability to recognize and define the pitch of a tone without the use of a reference tone. The advantages

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Unformatted text preview: of absolute pitch are fairly clear. The musician could simply start singing on pitch, tune his/her instrument without a tuning device, etc. The disadvantage is that it is painful for such a person to sing or play along with other people for a pitch standard that is off a little, for instance, in group of people that just start singing. EX1. If two sound pitches are one octave apart, the ratio of the frequencies is 2:1. Since the frequency is inversely proportional to the length, the ratio of the length of two segments should be 1:2. 1 2 1 65 21.7 3 2 65 43.4 3 L cm cm L cm cm = ! = = ! = EX10. From equation (4.2), we know μ 1 1 2 1 T L f = , 2 2 2 1 T L f = Since L and are equal, the ration of two tensions is 2 2 1 1 2 2 440 1.087 422 T f T f ! " ! " = = = # \$ # \$ % & % & 2 EX11. From Figure 7.11, we can find that square wave had the frequency f , f 3 , f 5 , f 7 , etc. So the first four partials are 300Hz, 900Hz, 1500Hz, and 2100Hz....
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