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Propeller Head Plaza Technical and scientific discussion of amps, cables and other topics. |
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Propeller Head Plaza Technical and scientific discussion of amps, cables and other topics. |
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In Reply to: RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... posted by Todd Krieger on September 5, 2009 at 01:24:08:
Todd,
Forget Fourier, think Laplace, it's a better model for most instruments. Especially things that are excited by an impulse like guitars, pianos, xylophones, drums...
The pole-zero diagram of the instrument's response helps to visualize what it will do when hit. If the poles of it's transfer function don't leave the real axis it has no frequency, only an impulse response. If they do, and except for some drums I think they all do, then you can visualize how the various resonances, each represented by a pole pair will decay over time. Just gaze at a table of the Laplace transform pairs and it's pretty easy to see what the f(t) would sound like.
Have fun, Rick
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- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - rick_m 09/5/0908:20:11 09/5/09 (0)
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