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For a periodic complex sound
Fundamental frequency: Lowest frequency present in a complex wave OR More important: HIGHEST frequency that is a factor of all other frequencies present in the sound Harmonics: Integral multiples of fundamental frequency 1
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Harmonics Fundamental frequency = 100 Hz
Second harmonic = 2 * 100 = 200 Hz nth harmonic = n*100 Hz 2
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Line spectrum: Discrete number of sinusoids
Continuous spectrum: Contains all frequencies within certain limits 3
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Transients or clicks Very brief sounds
Very short sine waves: Spectrum contains multiple frequencies instead of one frequency. 4
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1000 Hz, 1 sec 1000 Hz, 0.01 sec 1000 Hz, sec 5
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Octave: Scale of frequency
One octave = Doubling of frequency in Hz For example: 100 to 200 Hz: 1 Octave 200 to 400 Hz: 1 Octave 400 to 800 Hz: 1 Octave 100 to 400 Hz: 2 Octaves 100 to 800 Hz: ? Octaves 100 to 1600 Hz: ? Octaves 6
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Examples of periodic complex waves
Sawtooth wave: Sum of odd and even harmonics. -6 dB/octave slope Square wave: Sum of odd harmonics. Example: 500 Hz Hz Hz…. Triangular wave: Sum of odd harmonics. -12 dB/octave slope In all cases, equal starting phase for all components 7
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