The Music of Physics

  1. Why Learn Physics Through Music?
  2. Waves and the Language of Physics
    1. Pitch, Frequency, Timbre, Loudness
    2. Units, Graphs, Formulas
    3. Dependencies: Qualitative and Quantitative
    4. Problems
  3. Melodic Instruments and the Origins of Music and Science
    1. Neanderthal flutes and Greek lyres
    2. Pythagorean Intervals
    3. Vibrating Strings
    4. Pythagorean Scales
    5. Space-Time Connection
    6. Air Columns and Boundary Conditions
    7. Music of the Spheres and the Lessons of Pythagoras
    8. New Scales and the Development of Western Harmony
    9. Problems
  4. Non-Melodic Instruments: Non-Harmonic and 2-D systems
    1. Vibrating Bars and Non-linear Dependencies
    2. Overtone Series, Addition of Waves and Tone Quality
    3. 2-Dimensional Acoustic Cavities
    4. Spectroscopy, Modern Physics and Music of the Spheres
    5. Problems
  5. Waves and Interference
    1. General Properties of Waves
    2. Constructive and Destructive Interference
    3. Inference in Reflections
    4. Interference Patterns
    5. Interference in Time: Beats
    6. Light Waves
    7. Problems
  6. Applications: Feedback and the Doppler Effect
    1. Gain and Feedback
    2. Frequency Sources and Standards
    3. The Doppler Effect
    4. Sonic Booms and Shock Waves
    5. Problems
  7. Psychoacoustics: Consonance and Dissonance
    1. Structure of the Ear and Pitch Perception
    2. Critical Bandwidths and Just-Noticeable Differences
    3. Pure Tones, Consonance and Dissonance
    4. Complex Tones, Fourier Analysis and The Missing Fundamental
    5. Difference Tones
    6. Problems
  8. Conclusions: Music and Modern Physics
  9. Laboratories
    1. Introduction to Waves and PASCO Program
    2. Vibrating String
    3. Sound Waves in a Tube
    4. Vibrational Modes of a Metal Bar
    5. Sound Waves in a Rectangular Cavity
    6. Equivalence of Standing Waves and Traveling Waves
    7. Interference
    8. Gain and Feedback
    9. Sound Waves in a Rectangular Cavity (Again)
    10. Interference of Light
  10. Virtual Laboratories
    1. Virtual Lab Simulator
    2. Virtual Lab Users Manual
    3. Lab 1
    4. Lab 2
    5. Lab 3
    6. Lab 4
  11. Demonstrations
  12. Physlets
    1. Harmonic Synthesizer
    2. Non-Harmonic Synthesizer
    3. Superposition of Two Waves
    4. Interference of Two Waves
    5. Doppler
  13. Review Sheets
    1. Review Sheet #1
    2. Review Sheet #2