In Reply to: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... posted by Todd Krieger on September 4, 2009 at 10:27:45:
"Whenever I see a suggestion to "look up" something, it's an admission of not being able to explain the subject matter,"
There is an alternative explanation. I don't have the time nor the inclination to educate you in detail (I already have two toddlers
for that). Especially when 1) there is plenty of good reading material out there and 2) you tend to ignore all anyway.
If you want to remain ignorant, fine.
But one more time:
(I) A periodic signal has a discrete frequency spectrum. In a discrete frequency spectrum it is valid to talk about a fundamental and its harmonics.
(II) A non-periodic signal has a continuous frequency spectrum. Such a spectrum, obviously, has no notion of fundamental and harmonics.
(II) applies, more or less, to the attack phase of any musical instrument, (I) applies, more or less, to its sustain phase. What's so difficult about this? These mathematical concepts describe exactly what's happening.
BTW Shannon has utterly nothing to do with periodicity of the signal. And forget Nyquist: it is not his theorem, only his frequency.
And then you wake up and realise that your classmates of old ... are running most of the TV shows.
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Follow Ups
- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - Werner 09/5/0900:57:08 09/5/09 (5)
- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - Todd Krieger 01:11:55 09/5/09 (4)
- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - Werner 01:20:48 09/5/09 (3)
- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - Todd Krieger 01:24:08 09/5/09 (2)
- RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music............... - rick_m 08:20:11 09/5/09 (0)
- samples - Werner 02:23:36 09/5/09 (0)