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