XPost: rec.music.gdead, sci.electronics.design
From: dpierce@cartchunk.org
Arny Krueger wrote:
> "Randy Yates" wrote in message
> news:BfWdndRN5L09kvLQnZ2dnUVZ_oWdnZ2d@supernews.com
>
>>On 03/02/2011 09:37 PM, David Nebenzahl wrote:
>>
>>>On 3/2/2011 5:09 PM Dick Pierce spake thus:
>>>
>>>
>>>>Arny Krueger wrote:
>>>>
>>>>
>>>>>"Sergey Kubushyn" wrote in message
>>>>>news:ikkam0$b8$1@speranza.aioe.org
>>>>>
>>>>>>Music is _NOT_ a pure sinusoidal waves and there are
>>>>>>other things like attack, shape etc.
>>>>>
>>>>>Actually, every music wave form can be entirely
>>>>>represented as a collection of enveloped sine wave.
>>>>
>>>>Not even "enveloped" sine waves: simply sine waves.
>
>
>>>Yes. Just what is an "enveloped" sine wave anyway, pray
>>>tell?
>
>
>>Amplitude-modulated.
>
>
> Right.
>
> I would like to hear how one simulates say piano notes by means of just
> linear mixing of continuous sine waves.
Are you saying that it's not possible? Here, take
my shovel, dig up Mr. Fourier, tell him it's not
possible.
Take ANY amplitude-modulated waveform. Take it's
Fourier transform. The result is some collection of
continuous sine waves, n'est ce pas?
Let's look at a simple case: a 1 kHz wave modulated by
a 100 Hz envelope. That's three sine components, whose
relative amplitudes are dependent upon the amount of
modulation: one sitting at 900 Hz, one at 1000 Hz, and
one at 1100 Hz. Y'know, sidebands, and all that?
Take a more complex waveform with a more complex envelope,
and it's merely an extension of the same thing.
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