MUS 191L Lecture Notes - Lecture 3: Pythagorean Comma, Additive Synthesis, Audio Frequency
Document Summary
Mus 191/l lecture #3 fourier"s theorem, tuning & temperament, waveform and. Eq (equalization: modifies timbre by boosting/cutting different frequencies. Overtone series (harmonic sound: first partial = the fundamental, second partial = first overtone, third partial = second overtone, etc. Fourier"s theorem: any periodic vibration can be represented as the sum of harmonically related sine waves that follow the overtone series, create complex sounds by layering sine waves to the overtone series. Adding in different frequencies changes the timbre of the sound. Tuning and temperament: possible to base a tuning system on the overtone series, problem with this: C1 (32. 7 hz) to c8 by fifths (3:2 ratio) C1 to c8 by octaves (2:1 ratio) C8 = 4,186. 01 hz: compromise: equal temperament. Ratio between each semitone is exactly the same. Some of the intervals are slightly flat (compared to overtone series) (m2, m3, p5, m6) Some intervals are slightly sharp (m3, p4, m6, m7) The octave is the only pure interval.
