A simple-to-use sound file writer

[Albert van der Horst]

In article <hinfjn$8s9$1 at speranza.aioe.org>, Mel  <mwilson at the-wire.com> wrote:
>Alf P. Steinbach wrote:
>> * Steve Holden:
>
>>> It's not clear to me that you can approximate any waveform with a
>>> suitable combination of square waves,
>>
>> Oh. It's simple to prove. At least conceptually! :-)
>>
>> Consider first that you need an infinite number of sine waves to create a
>> perfect square wave.
>>
>> The opposite also holds: infinite number of square waves to create a
>> perfect sine wave (in a way sines and squares are opposites, the most
>> incompatible).
>
>No, it doesn't.  The infinite set of sine waves that make a square wave
>leave out the sine waves of frequency 2f, 4f, 6f, 8f, ... (2*n*f) ... .
>Once you've left them out, you can never get them back.  So sawtooth waves,
>for example, can't generally be built out of sets of square waves.

Bullshit. My Boehm (B\"ohm) electronic organ does exactly that.
They even have a chip for it. In the 70's it was a great hype,
a sawtooth organ. Well not exactly a hype, the sound, especially
the low registers, is dramatically better.

If you're interested in frequencies above audible (organ builders
aren't), you need an infinity of squares to build a perfect
sawtooth. But then you need an inifinity of sines to build a
perfect square wave.

<SNIP>

>       Mel.

Groetjes Albert


--
-- 
Albert van der Horst, UTRECHT,THE NETHERLANDS
Economic growth -- being exponential -- ultimately falters.
albert at spe&ar&c.xs4all.nl &=n http://home.hccnet.nl/a.w.m.van.der.horst