1. HEARING MUSICAL ACOUSTICS Science of Sound Chapter 5

2. MUSICAL ACOUSTICS

3. RANGE OF HEARING

4. OUTER, MIDDLE, AND INNER EAR

5. THE COCHLEA

6. THE EAR MIDDLE EAR: THE OSSICLES

7. RESPONSE OF THE BASILAR MEMBRANE TO A PAIR OF TONES AS THE INTERVAL DECREASES THEIR RESPONSE CURVES SHOW INCREASING OVERLAP

8. CRITICAL BANDWIDTH CONSTANT AT LOW FREQUENCY BUT PROPORTIONAL TO f AT HIGH FREQUENCY

9. EAR FUNCTION

10. SOUND SOURCE LOCALIZATION

11. PRECEDENCE EFFECT (Also called “Haas effect” or “Law of the first wave front”) THE SOURCE IS PERCEIVED TO BE IN THE DIRECTION FROM WHICH THE FIRST SOUND ARRIVES, PROVIDED THAT: 1.Successive sounds arrive within ~ 35 ms; 2.Successive sounds have spectra and time envelopes similar to the first sound; 3. Successive sounds are not too much louder than the first sound.

12. LINEAR LOGARITHMIC

13. LOGARITHMS AND POWERS OF TEN

14. PRACTICE PROBLEMS (no calculator, please) 2.1x10 2 +1.4x10 -2 = 3.0x10 8 /300 = log 8 = log 2x10 7 = log ½ = log 1/5 = log 200 = log 400 = log 500 =

15. SOLUTIONS TO PRACTICE PROBLEMS 2.1x10 2 +1.4x10 -2 = 210 + 0.014 = 210.014 3.0x10 8 /300 = 10 6 log 8 = log 2 3 = 3 log 2 = 0.903 log 2x10 7 = log 2 + log 10 7 = 7.301 log ½ = -log 2 = -0.301 log 1/5 = log 2/10 = 0.301-1 = -0.699 log 200 = log 2 + log 100 = 2.301 log 400 = log 2 + log 2 + log 100 = 2602 log 500 = log 1000 – log 2 = 3 – 0.301 = 2.699

16. DEPENDENCE OF SUBJECTIVE QUALITIES OF SOUND ON PHYSICAL PARAMETERS