Intervals, Pitch & Frequency Page 5
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1
2
3
4
5Answers to Exercises.
E
1.
1. n = 2; m = 3; frequency =
4. n = 0; m = 12; frequency =
2
3
0
12
440 = 5940 Hz.
100 = 12975 Hz.
2
(3/2)
2
(3/2)
5. n = 7; m = 0; frequency =
2. n = 2; m = 3; frequency =
7
0
100 = 12800 Hz.
2
(3/2)
2
3
440 = 32.59 Hz.
2
(3/2)
6. n =
7; m = 12; frequency =
7
1
3. n = 1; m =
1; frequency =
2100 = 101.36 Hz. You would hear
2
(3/2)
2
1
1
Hz.
beats at a rate of 1.36 Hz.
2
(3/2)
440 = 586
3
E
5.
1. 523.25 Hz
4. 15.49
2. 83.21
5. 135.08
(9/4) ≈ 83.04
3. 8.66 Hz
6. 69 + 12 log
2
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