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Music Theory for Electronic Music
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Module 1
Acoustics, Tuning, and Timbre
1
The Harmonic Series and Timbre
Describe the harmonic series and explain its role in determining an instrument's timbre.
2
The Octave: Frequency Ratios and Perception
Explain why the octave corresponds to a 2:1 frequency ratio and its perceptual significance.
3
Building the Pythagorean Scale with Pure Fifths
Derive the Pythagorean tuning system from successive applications of the pure fifth (3:2 ratio).
4
Tuning Systems: Limitations and Imperfections
Explain the limitations of Pythagorean tuning and just intonation, such as the Pythagorean comma.
5
The Math and Compromise of 12-Tone Equal Temperament
Derive the 12-tone equal temperament semitone ratio as 2^(1/12) and explain the compromise it represents.
6
The Cent: Your Universal Pitch Navigator
Define the cent as a logarithmic unit of pitch and use it to compare intervals across different tuning systems.
7
Synth Waveforms & The Harmonic Series
Analyze the harmonic content of basic synthesizer waveforms (sine, square, saw, triangle) as practical examples of the harmonic series.
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Pitch, Intervals, and the Piano Roll