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RE: Fourier Analysis is NOT Requisite In the Discussion of Fundamentals and Harmonics in Music...............

We were discussing the time of day, not how the clock works....... [-;

But anyways.......

(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.

Lets jump back to the original discussion...... Toss the Fourier stuff out the window.......

If one plucks a string on a guitar, it is *not* periodic because the intensity of the waveform is variable. But there is a distinct pitch. You're contending that this would *not* qualify as a fundamental with harmonics? (I just hope a guitar player doesn't read what you contend..... Part of guitar playing is known as "harmonics", in this very context.)

If what you're contending is true, there are *lots* of erroneous "physics" tutorials out there...........


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