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SOUND & THE EAR
Sound and the Ear
1. Sound Waves
  A. Frequency: Pitch, Pure Tone.
  B. Intensity
  C. Complex Waves and Harmonic Frequencies
2. The Ear
  A. The Outer Ear
  B. The Middle Ear
  C. The Inner Ear
    i. The Cochlear Membrane
    ii. Sound Transduction
    iii. Hearing Anthony J Greene
                 Loss               2
Sound Waves
1. Frequency
• Wavelength - distance between peaks or
   compressions
• Hertz - cycles (1 compression & 1
   rarefaction) per second - the major
   determinant of pitch


             Anthony J Greene   3
Sound Waves
• Pure Tones - simple waves
• Harmonics - complex waves consisting of
  combinations of pure tones (Fourier
  analysis) - the quality of tone or its timbre
  (i.e. the difference between a given note on
  a trumpet and the same note on a violin) is
  given by the harmonics

               Anthony J Greene      4
Sound Waves
•   Pitch and fundamental frequency - in pure
    tones the pitch is the fundamental
    frequency - with harmonics added the
    fundamental frequency is the dominant
    pure tone




              Anthony J Greene     5
Sound Waves
2. Intensity
• Amplitude is measured in Decibels (dB)-
   the height of the peak, or the amount of
   compression - determines volume
• Loudness is the psychological aspect of
   sound related to perceived intensity or
   magnitude


              Anthony J Greene    6
Sound Waves
•    Humans can hear across a wide range of sound
     intensities
    –   Ratio between faintest and loudest sounds is more
        than one to one million
    –   In order to describe differences in amplitude, sound
        levels are measured on a logarithmic scale, in units
        called decibels (dB)
    –   Relatively small decibel changes can correspond to
        large physical changes (e.g., increase of 6 dB
        corresponds to a doubling of the amount of pressure)


                   Anthony J Greene             7
Sound Waves




Anthony J Greene   8
Direction of Sound           Air Molecules
Speaker




          Compression     Rarefaction




                  Anthony J Greene         9
Anthony J Greene   10
Anthony J Greene   11
Harmonics & Fourier Analysis




        Anthony J Greene   12
Harmonic Frequencies
   1f
                                       • Strings or pipes
                                         (trombone, flute organ)
   2f                                    all have resonant
1 octave
                                         frequencies.
                                       • They may vibrate at that
  3f                                     frequency or some
                                         multiple of it
  4f
2 octaves
                                       • All instruments and
                                         voices carry some
                                         harmonics and dampen
  8f                                     others
3 octaves
            Length of string or pipe J Greene
                           Anthony                 13
Harmonic Frequencies
1f   +   3f   +     5f    +    7f    +   9f    + …




                  Anthony J Greene        14
Harmonics & Fourier Analysis




        Anthony J Greene   15
Harmonics & Fourier Analysis
Complex sounds can be
described by Fourier analysis
   A mathematical theorem by
   which any sound can be
   divided into a set of sine
   waves. Combining these
   sine waves will reproduce
   the original sound.
   The fundamental frequency
   is the pitch, and the
   harmonic frequencies are
   the timbre.
   Results can be summarized
   by a spectrum
                       Anthony J Greene   16
Harmonics & Fourier Analysis




        Anthony J Greene   17
The
Ear
      Outer Ear   Middle Inner Ear
                   Ear




                   Anthony J Greene   18
Outer Ear
• Pinna - the fleshy part of the ear
• Channels sound into the auditory canal -
  which carries the sound to the eardrum
• tympanic membrane - vibrates in response
  to vibrations in the air



              Anthony J Greene    19
Middle Ear
• Ossicles - the three smallest bones in the
  human body - malleus (hammer) incus
  (anvil ), stapes (stirrup )
  - transmit sound to the inner ear
• Eustachian tubes - connects to throat and
  allows air to enter the middle ear - equalizes
  the pressure on both sides of the eardrum
Conduction Deafness

               Anthony J Greene      20
Inner Ear




Anthony J Greene   21
Inner Ear




1.    Semi-Circular
      Canals
2.    The Cochlea
•     Oval Window -
      the connection
      point from the
      stirrup to the
      inner ear
•     Round Window

                       Anthony J Greene   22
Inner Ear
1.   Semi-Circular
     Canals
2.   The Cochlea
•    Oval Window -
     the connection
     point from the
     stirrup to the
     inner ear
•    Round Window




                      Anthony J Greene   23
Anthony J Greene   24
The Cochlea
• Vestibular canal - wave travels from the oval
  window towards the end of the cochlea
• Tympanic canal - wave travels from the end of the
  cochlea to the round window
• Reissner's Membrane - separates the vestibular
  canal from the Cochlear Duct
• Basilar membrane - vibrates in response to the
  wave traveling around it - varies in thickness so
  some areas vibrate best to high pitches and some
  areas to low pitches
• Cochlear duct -the third section of the cochlea
  which contains the Organ of Corti
• Organ of Corti - the place where physical energy
  is converted to nerve energy
                Anthony J Greene       25
The Cochlea




Anthony J Greene   26
The Cochlea




Anthony J Greene   27
The Cochlea




Anthony J Greene   28
Sound Transduction
• A traveling wave is set up in the vestibular canal
• The wave causes the Basilar membrane to vibrate
  - each section is maximally stimulated by a
  different pitch - serves to sort out differing
  frequencies
• In the Organ of Corti hair cells vibrate in response
  to the vibrations of the Basilar membrane
• Hair cells transduce the energy into a neural
  impulse


                 Anthony J Greene         29
Bassilar
                   Membrane




Anthony J Greene       30
Basilar Membrane




  Anthony J Greene   31
Exposure to Loud Noise




     Anthony J Greene   32
Summary




      Anthony J Greene   33

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Sound and the Ear

  • 2. Sound and the Ear 1. Sound Waves A. Frequency: Pitch, Pure Tone. B. Intensity C. Complex Waves and Harmonic Frequencies 2. The Ear A. The Outer Ear B. The Middle Ear C. The Inner Ear i. The Cochlear Membrane ii. Sound Transduction iii. Hearing Anthony J Greene Loss 2
  • 3. Sound Waves 1. Frequency • Wavelength - distance between peaks or compressions • Hertz - cycles (1 compression & 1 rarefaction) per second - the major determinant of pitch Anthony J Greene 3
  • 4. Sound Waves • Pure Tones - simple waves • Harmonics - complex waves consisting of combinations of pure tones (Fourier analysis) - the quality of tone or its timbre (i.e. the difference between a given note on a trumpet and the same note on a violin) is given by the harmonics Anthony J Greene 4
  • 5. Sound Waves • Pitch and fundamental frequency - in pure tones the pitch is the fundamental frequency - with harmonics added the fundamental frequency is the dominant pure tone Anthony J Greene 5
  • 6. Sound Waves 2. Intensity • Amplitude is measured in Decibels (dB)- the height of the peak, or the amount of compression - determines volume • Loudness is the psychological aspect of sound related to perceived intensity or magnitude Anthony J Greene 6
  • 7. Sound Waves • Humans can hear across a wide range of sound intensities – Ratio between faintest and loudest sounds is more than one to one million – In order to describe differences in amplitude, sound levels are measured on a logarithmic scale, in units called decibels (dB) – Relatively small decibel changes can correspond to large physical changes (e.g., increase of 6 dB corresponds to a doubling of the amount of pressure) Anthony J Greene 7
  • 9. Direction of Sound Air Molecules Speaker Compression Rarefaction Anthony J Greene 9
  • 12. Harmonics & Fourier Analysis Anthony J Greene 12
  • 13. Harmonic Frequencies 1f • Strings or pipes (trombone, flute organ) 2f all have resonant 1 octave frequencies. • They may vibrate at that 3f frequency or some multiple of it 4f 2 octaves • All instruments and voices carry some harmonics and dampen 8f others 3 octaves Length of string or pipe J Greene Anthony 13
  • 14. Harmonic Frequencies 1f + 3f + 5f + 7f + 9f + … Anthony J Greene 14
  • 15. Harmonics & Fourier Analysis Anthony J Greene 15
  • 16. Harmonics & Fourier Analysis Complex sounds can be described by Fourier analysis A mathematical theorem by which any sound can be divided into a set of sine waves. Combining these sine waves will reproduce the original sound. The fundamental frequency is the pitch, and the harmonic frequencies are the timbre. Results can be summarized by a spectrum Anthony J Greene 16
  • 17. Harmonics & Fourier Analysis Anthony J Greene 17
  • 18. The Ear Outer Ear Middle Inner Ear Ear Anthony J Greene 18
  • 19. Outer Ear • Pinna - the fleshy part of the ear • Channels sound into the auditory canal - which carries the sound to the eardrum • tympanic membrane - vibrates in response to vibrations in the air Anthony J Greene 19
  • 20. Middle Ear • Ossicles - the three smallest bones in the human body - malleus (hammer) incus (anvil ), stapes (stirrup ) - transmit sound to the inner ear • Eustachian tubes - connects to throat and allows air to enter the middle ear - equalizes the pressure on both sides of the eardrum Conduction Deafness Anthony J Greene 20
  • 21. Inner Ear Anthony J Greene 21
  • 22. Inner Ear 1. Semi-Circular Canals 2. The Cochlea • Oval Window - the connection point from the stirrup to the inner ear • Round Window Anthony J Greene 22
  • 23. Inner Ear 1. Semi-Circular Canals 2. The Cochlea • Oval Window - the connection point from the stirrup to the inner ear • Round Window Anthony J Greene 23
  • 25. The Cochlea • Vestibular canal - wave travels from the oval window towards the end of the cochlea • Tympanic canal - wave travels from the end of the cochlea to the round window • Reissner's Membrane - separates the vestibular canal from the Cochlear Duct • Basilar membrane - vibrates in response to the wave traveling around it - varies in thickness so some areas vibrate best to high pitches and some areas to low pitches • Cochlear duct -the third section of the cochlea which contains the Organ of Corti • Organ of Corti - the place where physical energy is converted to nerve energy Anthony J Greene 25
  • 29. Sound Transduction • A traveling wave is set up in the vestibular canal • The wave causes the Basilar membrane to vibrate - each section is maximally stimulated by a different pitch - serves to sort out differing frequencies • In the Organ of Corti hair cells vibrate in response to the vibrations of the Basilar membrane • Hair cells transduce the energy into a neural impulse Anthony J Greene 29
  • 30. Bassilar Membrane Anthony J Greene 30
  • 31. Basilar Membrane Anthony J Greene 31
  • 32. Exposure to Loud Noise Anthony J Greene 32
  • 33. Summary Anthony J Greene 33