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Explore the science of sound in Chapter 5 of Musical Acoustics, covering the outer, middle, and inner ear, the cochlea, and the ossicles. Learn about the response of the basilar membrane to tones and critical bandwidth. Discover concepts like sound source localization and the precedence effect. Practice problems involving linear, logarithmic, and powers of ten without a calculator. Solutions provided.
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HEARING MUSICAL ACOUSTICS Science of Sound Chapter 5
THE EAR MIDDLE EAR: THE OSSICLES
RESPONSE OF THE BASILAR MEMBRANE TO A PAIR OF TONES AS THE INTERVAL DECREASES THEIR RESPONSE CURVES SHOW INCREASING OVERLAP
CRITICAL BANDWIDTH CONSTANT AT LOW FREQUENCY BUT PROPORTIONAL TO f AT HIGH FREQUENCY
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: • Successive sounds arrive within ~ 35 ms; • Successive sounds have spectra and time envelopes • similar to the first sound; • 3. Successive sounds are not too much louder than the • first sound.
LINEAR LOGARITHMIC
PRACTICE PROBLEMS (no calculator, please) 2.1x102 +1.4x10-2 = 3.0x108/300 = log 8 = log 2x107 = log ½ = log 1/5 = log 200 = log 400 = log 500 =
SOLUTIONS TO PRACTICE PROBLEMS 2.1x102 +1.4x10-2 = 210 + 0.014 = 210.014 3.0x108/300 = 106 log 8 = log 23 = 3 log 2 = 0.903 log 2x107 = log 2 + log 107 = 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
DEPENDENCE OFSUBJECTIVE QUALITIES OF SOUND ON PHYSICAL PARAMETERS