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Originally Posted by Lorelyen
No, an aperiodic group of pulses is technically 'noise'; it's vibration is irregular so frequency cannot be determined and it's usual to talk about distribution within a band (octave or decade). It can't be compared with a periodic frequency.
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except that as with everything else it COULD be described mathematically as a union of various other frequencies
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I got a bit confused with what you're saying here. "the lower can matter much more than the higher?" Are you talking about distinct frequencies or the harmonics on a fundamental of fixed frequency?
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in the example given, the lower frequencies do more to give it basic form, the higher ones fill in more and more detail...
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A square wave is built on odd numbered harmonics the limits of which are dependent on its rise time and duty cycle (which subtracts from the lower-numbered ones). The fundamental (the frequency quoted) is inevitably going to be larger in amplitude than the harmonics - by how much depends on the resonances of the thing producing the sound so it may not remain truly square.
It's the 'sawtooth' that contains all the harmonics, more useful than square wave in subtractive synthesis. An 'ideal' one contains harmonics at an amplitude inversely proportional to the harmonic number.
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hehehe... yeah once you start in on it you can combine things in various ways and get different results...