24-bit on tap at Apple?
On Thu, 03 Mar 2011 09:11:26 -0500, Dick Pierce
wrote:
John Fields wrote:
On Thu, 03 Mar 2011 08:39:52 -0500, Dick Pierce
wrote:
Arny Krueger wrote:
"Randy Yates" wrote in message
news:BfWdndRN5L09kvLQnZ2dnUVZ_oWdnZ2d@supernew s.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
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?
---
But that's true only for _modulation_, which is nonlinear mixing due
to time-variable gain.
That's right, that's what he was asking about.
---
He said:
"I would like to hear how one simulates say piano notes by means of
just linear mixing of continuous sine waves."
Which isn't modulation, so heterodyning won't occur and no sidebands
will be generated.
In truth, to do what he asked would require all of the spectral
components of the note, with their amplitude variations, to be mixed
linearly, (summed algebraically with respect to time) which isn't
modulation.
---
JF
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