Casio CZ/ VZ/ FZ - Pro Series

Thanks. And thanks for the links.
Here's one for you, the complete text of Prof. David L. Benson's (of
the U. of Aberdeen) "Music: a Mathematical Offering":
http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html

Then there's Electronotes, another useful site:
http://electronotes.netfirms.com/

Does anyone know where I can learn about designing physical
waveguides?  Bose seems to make speaker cabinets using this
information, but I haven't located it, yet.  I had found Julius
Smith's excellent (I think it's excellent - but it's mostly over my
head!) site while looking for the subject, but could only find digital
waveguide info, there.

- synergeezer

--- In CZsynth@yahoogroups.com, "ezra buchla" <ezra.buchla@...> wrote:
>
> >> > "linear piecewise phase distortions". I think!
> 
> > Hm, to you, too. Could you give me a reference for your specific
> > term? I'm eager to learn!
> 
> nothing fancy, just means a function that's made out of line segments
> (in this case a transfer function for distorting the phase)
> http://en.wikipedia.org/wiki/Piecewise_linear_function
> 
> this is how the cz produces the initial waveforms (system iii in the
> patent). then there's an FM stage implemented as a hard reset of the
> phase ("higher harmonics control signal generator", or system iv in
> the patent), with a rather clever smoothing algorithm (just multiplies
> by a decreasing ramp at the modulation frequency! sweet.)
> 
> anyway, since 1983 people have come up with many additional
> interesting phaser distortion functions, ellipses and cycloids being
> particularly friendly. i find that sticking with various chopped up
> linear functions, and wavetables with pretty simple harmonic content
> (1st through 5th order or so), still gives more than adequately rich
> timbral results.
> 
> > Karplus-Strong algorithm,
> now there's quite another beastie altogether.
> 
> http://music.calarts.edu/~ebuchla/karplus_strong_patent.pdf
> 
> that's KS's original idea for a digitar based on the excitation of a
> virtual string by random noise bursts. i made some programs a while
> ago (following the lead of folks like david jaffe at stanford), using
> a KS-like model of masses connected by springs, but introducing more
> complexity by using nonlinear terms in the force equations for the
> springs, and doing crazy stuff like connecting them all in a ring
> instead of a bridge-termination, and making arbitrarily weighted
> connections between non-adjacent masses (ending up with something more
> like a "spherical membrane" than a string, or anything else in the
> real world...)... also using these things as chaotic resonantors by
> using audio input for excitation rather than saws, impulses, or random
> number bursts...
> 
> then lo and behold, recent releases of ableton live include a rather
> sophisticated stringlike physical modelling synth (called...
> "tensor"?), complete with nonilnearity, different excitation
> functions, variable damping, all kindsa stuff. neat!
> 
> in general this kind of thing is lumped together under the umbrella of
> waveguide synthesis. jaffe and julius smith at stanford have written
> quite a lot about it.
> 
> smith maintains his extensive collection of papers for free on his
website.
> http://ccrma.stanford.edu/~jos/
> 
> perry cook at princeton has a nice book about synthesis inspired by
> physical models. it's useful without being overly math-y. "real sound
> synthesis for interactive applications."
> 
> places to find patents on the intertubes:
> 
> patentstorm.us (gives you the text, pay for the figures)
> pat2pdf.org (free pdf conversion if you know the patent number already)
> 
> ok
> 
> /eb
>