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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 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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This document was uploaded on 02/11/2012.
 Fall '09
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