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quicknote
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Hi,
I was just hoping that some one could check my answers...particularily b and c.
Thanks!
The note A should have a frequency of 440Hz and the note E should be at 659Hz.
a) What is the frequency difference between the third harmonic of the A and the second harmonic of the E?
[tex]f_{beat} = 3f_{A} - 2f_{E} = 2Hz [/tex]
b) A tuner first tunes the A string very precisely by matching it to a 440 Hz tuning fork. She then strikes the A and E strings simultanesouly and listens for beats between the harmonics. What beat frequency indicates that the E string is properly tuned?
[tex] f_{beat} = f_{1} - f_{2} = 659-440 = 219 Hz [/tex]
but I don't think it's possible to hear 219 Hz is it? Would the answer be the same as part a, since you are trying to tune E?
c) The tuner starts with the tension in the E string a little low, then tightens it. What is the frequency of the E string when she hears four beats per second?
[tex]f = 659 \pm 4 [/tex]
therefore f = 655 or 663 Hz but what's throwing me of is that it says "it starts with the tension in the E string A LITTLE LOW" which would me that the frequency is not equal to 659...
I was just hoping that some one could check my answers...particularily b and c.
Thanks!
The note A should have a frequency of 440Hz and the note E should be at 659Hz.
a) What is the frequency difference between the third harmonic of the A and the second harmonic of the E?
[tex]f_{beat} = 3f_{A} - 2f_{E} = 2Hz [/tex]
b) A tuner first tunes the A string very precisely by matching it to a 440 Hz tuning fork. She then strikes the A and E strings simultanesouly and listens for beats between the harmonics. What beat frequency indicates that the E string is properly tuned?
[tex] f_{beat} = f_{1} - f_{2} = 659-440 = 219 Hz [/tex]
but I don't think it's possible to hear 219 Hz is it? Would the answer be the same as part a, since you are trying to tune E?
c) The tuner starts with the tension in the E string a little low, then tightens it. What is the frequency of the E string when she hears four beats per second?
[tex]f = 659 \pm 4 [/tex]
therefore f = 655 or 663 Hz but what's throwing me of is that it says "it starts with the tension in the E string A LITTLE LOW" which would me that the frequency is not equal to 659...