Synthesis Theory I: Topics
 Sinewaves and Additive Synthesis

 Sound Decomposition
 Mathematical Definition of Sinewaves
 Physical Properties of Sinewaves
 Perceptual Properties of Sinewaves
 Physiology of Hearing
 Decibels
 Frequency Range of Hearing
 FletcherMunsen EqualLoudness Curves
 Phase
 Timbre
 Additive Synthesis
 Soundfiles and Digital Recording

 Shannon Sampling Theorem
 Quantization
 Sound File Formats
 Recording your own soundfiles
 Sound Editing
 Basic Fourier Theory
 Wavetable Synthesis

 Wavetable Concept and Origins
 Sampling Synthesis: How Samplers Work
 Granular Synthesis
 Subtractive Synthesis and Linear Filtering

 Noise
 Linear Filtering Components: Addition, Scaling, Delay
 Lowpass/Highpass Filter
 Resonant Filter
 Filter design using the Zplane and Ztransform
 Poles and Zeros
 Mathematics of Filter Design
 Flange Filtering
 Comb Filter
 Allpass Filter
 Reverberation
 Physical Modeling Synthesis

 KarplusStrong Dynamic Wavetable Algorithm
 Delay Lines and String Modeling
 NonLinear Synthesis

 Ring Modulation
 FM Synthesis
 Waveshaping Synthesis
